Find the area of a regular octagon whose side length is 4.7 in. and the apothem is 6.5 in

Answers

Answer 1

Answer:

122.2 in^2.

Step-by-step explanation:

WE can divide a regular octagon into 8 triangles with height ( = the apotherm) = 6.5 and  base = 4.7.

The area of each triangle is 1/2 * 4.7 *6.5 so #the area of the octagon

= 8 * 1/2 * 4.7 * 6.5

= 122.2 in^2.

Answer 2

For this case we have by definition, that the area of an octagon is given by:

[tex]A = \frac {p * a} {2}[/tex]

Where:

p: perimeter

a: apothem

We have that the perimeter is given by the sum of the sides of the octagon:

[tex]p = 8 * 4.7 = 37.6 \ in\\a = 6.5 \ in[/tex]

Substituting:

[tex]A = \frac {37.6 * 6.5} {2} = 122.2[/tex]

So, the area of the octagon is[tex]122.2 \ in ^ 2[/tex]

Answer:

[tex]122.2 \ in ^ 2[/tex]


Related Questions

The radius of the sphere is 10 units. What is the approximate volume of the sphere? Use and round to the nearest whole cubic unit. 42 cubic units 126 cubic units 4187 cubic units 73,385 cubic units

Answers

Answer:

The approximate volume of the sphere= 4187  cubic units

Step-by-step explanation:

Points to remember

Volume of sphere = (4/3)πr³

Where 'r' radius of sphere

To find the volume of sphere

It is given that the radius of the sphere is 10 units. ,

Here radius r = 10 units

Volume =  (4/3)πr³

 =  (4/3) * 3.14 * 10³

 =  (4/3) * 3140

 =  4186.666 ≈  4187  cubic units

Answer:

Option C.

Step-by-step explanation:

Radius of the sphere is given as 10 units.

We have to calculate the volume of this sphere.

Since formula to measure the volume of sphere is V = [tex]\frac{4}{3}\pi r^{3}[/tex]

V =  [tex]\frac{4}{3}\pi 10^{3}[/tex]

  =  [tex]\frac{4}{3}(3.14)(10^{3})[/tex]

  = 4186.67

  ≈ 4187 cubic units.

Option C. is the answer.

Find the area of the shaded region if the dimensions of the unshaded region are 18ft x 22ft. Use 3.14 for π as necessary.
A. 1,419.84 ft²
B. 1,111.84 ft²
C. 709.92 ft²
D. 957.84 ft²

Answers

See the attached picture:

Answer:

Answer is option B. 1,111.84 ft²

Step-by-step explanation:

The given dimensions of the un shaded region or rectangle are 18 feet x 22 feet.

Now we have additional 7 feet at both ends to form the diameter of the semicircle, making it [tex]14+18=32[/tex] feet

Radius = [tex]\frac{32}{2}=16[/tex] feet

We have 2 semicircles, one at each end. If we combine it it forms a circle.

Area of the circle (2 semicircles) = [tex]\pi r^{2}[/tex]

= [tex]3.14\times(16)^{2}[/tex] = 803.84 square feet

Now we will find the area of the shaded rectangles above and below the non shaded one. The length is 22 feet and width is 7 feet.

So, area = [tex]22\times7=154[/tex] square feet

We have 2 similar rectangles. So, area of both = [tex]2\times154=308[/tex] square feet

So, total area of shaded region = [tex]803.84+308=1111.84[/tex] square feet.

There is a tall tree in Iva’s backyard. She thinks it might hit her house if it fell over. She measures that the base of the tree is 50 feet from her house. When Iva stands at the edge of her house, the angle of elevation from her feet to the top of the tree is 50°. Iva’s house is safe if the tree’s height is less than the tree’s distance from the house. Complete the statement based on this information.


The height of the tree is_____50 feet, so Iva’s house is ______.

Answer choices:

1. Greater than, less than, equal to

2. Safe, not safe

Answers

Answer:

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Step-by-step explanation:

step 1

Find the height of the tree

Let

h ----> the height of the tree

we know that

The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)

so

tan(50°)=h/50

h=(50)tan(50°)=59.6 ft

therefore

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Answer:

greater than and not safe

Step-by-step explanation:


Solve for x
3(x – 3) = 5x – 4 +3(7 – x)

Answers

Answer:

ok seems easy *ahem*

x=26

Step-by-step explanation:

*MLG intensufys*

Can someone explain how to do this? So I can stop askin for help... plzzzzzz!

Answers

Answer:

y = 5x

Step-by-step explanation:

The equation to do this is y = mx + b.

b is y intercept which is 0

m is the slope, which is 5

y = 5x + 0 or y = 5x

Answer:

y=5x

Step-by-step explanation:

So we have the points (0,0) and (2,10) that are on the line.

The slope can be calculate the slope by finding the rise and the run, and then putting the rise/run.

If you want to use the graph to count the rise, you can.  If you start at 0 and need to get to 10, then you need to rise 10 units.

If you want to use the graph to count the run, you can. If you start at 0 and need to get to 2, then you need to run 2 units.

So the slope is 10/2=5.

Or, if you didn't want to count, you could use the slope formula for a line given two points on that line.

That is the formula is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

There is another format for that formula that might be easier to remember.  Just line the points up and subtract vertically. Then put 2nd difference over 1st difference.

So let's do that also:

(  2  ,  10)

-(  0   ,   0)

----------------

  2           10

So the slope is 10/2=5.

Now you can get the same answer if you had done it the other way:

 ( 0 ,   0)

- ( 2 ,  10)

----------------

 -2      -10

So the slope is -10/-2=5.

You get the same number either way.

So the slope-intercept form of a line is y=mx+b.

m is the slope and b is the y-intercept.

We found m which is 5.

If you look at the graph, you see the line goes through the y-axis at y=0 so the y-intercept, b, is 0.

The equation of the line here is y=5x+0 or just simply y=5x.

Which of the binomials below is a factor of this trinomial?
22-5x-14

Answers

Answer:

The factors are the binomials (x - 7)(x + 2)

Step-by-step explanation:

* Lets explain how to factor a trinomial

- The trinomial  ax² ± bx ± c has two factors (x ± h)(x ± k), where

# h + k = -b/a

# h × k = c/a

- The signs of the brackets depends on the sign of c at first then

  the sign of b

# If c is positive, then the two brackets have the same sign

# If b is positive , then the signs of the brackets are (+)

# If b is negative then the sign of the brackets are (-)

# If c is negative , then the brackets have different signs

* Lets solve the problem

∵ The trinomial is x² - 5x - 14

∴ a = 1 , b = -5 and c = -14

c is negative

∴ The brackets have different signs

(x - h) (x + k) are the factors of the trinomial

∵ h + k = -5/1

h + k = -5 ⇒ (1)

∵ h × k = -14/1

h × k = -14 ⇒ (2)

- From (1) , (2) we search about two numbers their product is 14 and

 their difference is 5 , they will be 7 and 2

∵ 7 × 2 = 14

∵ 7 - 2 = 5

- The sign of b is negative then we will put the greatest number in the

 bracket of (-)

∴ h = 7 and k = 2

∴ The brackets are (x - 7)(x + 2)

* The factors are the binomials (x - 7)(x + 2)

Which relation is a function?
A. {(2, 3), (1, 5), (2, 7)}
B. {(-1,5), (-2, 6), (-3, 7)}
OC. {(11, 9), (11, 5), (9,3)}
D. {(3, 8), (0, 3), (3,-2)}

Answers

Answer:

B is a function.

Step-by-step explanation:

A relation that is a set of points is a function if all the x's are different.  Each ordered pair in the set (excluding the duplicates if any) all have to have a distinct x.

For example if someone ask you if this is a function they are trying to trick you:

{(4,5),(1,3),(4,5)}.

They are trying to trick you because they listed the element (4,5) twice.

The set is really {(4,5),(1,3)}.

This would be a function because all the x's are distinct, ex 4 is different than 1.

Let's look at your choices:

A This is not a function because you have two pairs with the same x-coordinate.

B This is a function.  There are no repeats of any x,

C This is not a function because you have 11 as x twice.

D This is not a function because x=3 happens twice.

If the same x happens more than once than it isn't a function.  

Answer:

b

Step-by-step explanation:

took test

.
Solve the triangle.
B = 72°, b = 12, c = 8 (1 point)

Answers

Answer:

a=11.8,b=12,c=8,A=68.7°, B=72°, C= 39.3°

Step-by-step explanation:

Given data:

b = 12

c= 8

a= ?

∠B= 72°

∠C= ?

∠A=?

To find the missing angle we will use law of sine:

a/sinA=b/sinB=c/sinC

Find m∠C.

b/sinB = c/sinC

Substitute the values:

12/sin72°=8/sinC

Apply cross multiplication.

12*sinC=sin72° * 8

sinC=0.951*8/12

sinC=7.608/12

sinC= 0.634

C= 39.3°

Now we know that the sum of angles = 180°

So,

m∠A+m∠B+m∠C=180°

m∠A+72°+39.3°=180°

m∠A=180°-72°-39.3°

m∠A= 68.7°

Now find the side a:

a/sinA=b/sinB

a/sin68.7°=12/sin72°

Apply cross multiplication:

a*sin72°=12*sin68.7°

a*0.951=12*0.931

a=0.931*12/0.951

a=11.172/0.951

a=11.75

a=11.8 ....

The seats at a local baseball stadium are arranged so that each row has five more seats than the row below it. If there are four seats in the first row, how many total seats are in the first 24 rows?

Answers

Answer:

Thus the last row has 119 seats.

The total number of seats in 24 rows = 1476

Step-by-step explanation:

The number of seats in each row make an arithmetic series. We will use arithmetic equation to find the number of seats in last row:

An = a1+ (n-1)d

An = 4+(24-1)5  

An = 4 + (23)(5)  

An = 4 + 115  

An = 119

Thus the last row has 119 seats.

Now to find the sum of seats we will apply the formula:

Sn = n(a1 + an)/2

Sn = 24(4+119)/2  

Sn = 24(123) /2  

Sn = 1476 .....

The total number of seats in 24 rows = 1476....

Answer:

1476 seats

Step-by-step explanation:

We are given that each row in a baseball stadium has five more seats than the row below it. Given that there are four seats in the first row, we are to find the total number of seats in the first 24 rows.

For this, we can use arithmetic sequence:

[tex]a_n = a_1+ (n-1)d[/tex]

[tex]a_n = 4+(24-1)5[/tex]

[tex]a_n=119[/tex]

Now that we know the number of seats in the last row, we will plug the value to find total seats in first 24 rows:

[tex]S_n=\frac{24(4+119)}{2}[/tex]

[tex]S_n=1476[/tex]

Therefore, there are 1476 seats in the first 24 rows.

What is the equation of the new function???

Answers

Answer:

The correct answer option is C. [tex] g ( x ) = | x - 4 | + 6 [/tex].

Step-by-step explanation:

We know that the transformation which shifts a function along the horizontal x axis is given by [tex]f(x+a)[/tex], while its [tex]f(x-a)[/tex] which shifts the function to the right side.

Here we are to shift the function 4 units to the right and 6 units up.

Therefore, the function will be:

[tex] g ( x ) = | x - 4 | + 6 [/tex]

Answer: Option C

[tex]g (x) = | x-4 | +6[/tex]

Step-by-step explanation:

If we have a main function and perform a transformation of the form

[tex]g (x) = f (x + h)[/tex]

So:

If [tex]h> 0[/tex] the graph of the function g(x) will be equal to the graph of f(x) displaced h units to the left

If [tex]h <0[/tex] the graph of the function g(x) will be equal to the graph of f(x) displaced h units to the right

Also if the transformation is done

[tex]g (x) = f(x) + k[/tex]

So

If [tex]k> 0[/tex] the graph of the function g(x) will be equal to the graph of f(x) displaced k units up

If [tex]k <0[/tex] the graph of the function g(x) will be equal to the graph of f(x) displaced k units downwards.

In this case the main function is [tex]f(x) = | x |[/tex] and moves 4 units to the right and 6 units to the top, then the transformation is:

[tex]g (x) = f (x-4) +6[/tex]

[tex]g (x) = | x-4 | +6[/tex]

A non-food crop is infected by pests on the 1st of a month. The pests infect the crop in such a way that the area infected doubles after each month. If the pests continue to infect the crop in this way, the non-food crop will be entirely infected after the sixth month.

After which month will one-eighth of the non-food crop be infected?

Answers

Answer:

After month 3.

Step-by-step explanation:

If you know that the crop will be completely infected after 6 months and the area infected doubles each month, you can work backwards. So picture the 6th month as 100%. Then, basically divide that percentage by 2 until you reach 1/8, or .125, or 12.5. So 100% (month 6) > 50% (month 5) > 25% (month 4) > 12.5% (month 3). So 12.5% is equal to 1/8 or .125, which is what you are trying to look for.

Hope this helps!

The non-food crop will be infected by one-eighth of the crop after 3 months.

What is the sum of n terms in a geometric sequence?

The sum of n terms of a geometric sequence is given by the formula,

Sn = [a(1 - r^n)]/(1 - r)

Where r - a common ratio

a - first term

n - nth term

Sn - the sum of n terms

Calculation:

Given that,

The crop is infected by pests.

The area infected doubles after each month. So, it forms a geometric progression or sequence.

The entire crop is infected after six months.

So, n = 6, r = 2(double) and consider a = x

Then the area of the infected crop after 6 months is,

S(6) = [x(1 - 2^6)]/(1 - 2)

      = x(1 - 64)/(-1)

     = -x(-63)

     = 63x

So, after six months the area of the infected crop is about 63x

So, the one-eighth of the crop = 63x/8 = 7.875x

For one month the infected area = x (< one-eighth)

For two months it will be x + 2x = 3x (< one-eighth)

For three months it will be x + 2x + 4x = 7x ( < one-eighth)

For four months it will be x + 2x + 4x + 8x = 15x (> one-eighth)

So, the one-eighth of the crop will be infected after 3 months.

Learn more about the sum of geometric sequences here:

https://brainly.com/question/24221513

#SPJ2

what’s the trapezoids missing length?

Answers

Answer:

Step-by-step explanation:

Let CD = x

(x + 40)/2 = 31                  The midline is 1/2 the sum of the 2 bases. multiply by 2 on both sides.

x + 40 = 31 * 2

x + 40 = 62                       Subtract 40 from both sides.

x +40-40 = 62 - 40          Combine

x = 22

Check

(22 + 40)/2

62 / 2

31 = PQ

Final answer:

To find the missing length of a trapezoid with similar triangles inside, we use the ratio of the sides of the triangles, which is approximately 8.667 based on the provided lengths.

Explanation:

When determining the missing length of a trapezoid, we need to consider the properties of similar triangles or the geometric shape of a trapezoid itself. The given information suggests a scenario where similar triangles are within a trapezoid and leads to a proportional relationship between the sides of the triangles. If a trapezoid has triangles within it that share an angle, the lengths of the corresponding sides of those triangles will be proportional.

Based on the data provided, if the long sides of the triangles are in the ratio of 13.0 in to 1.5 in, which simplifies to an approximate factor of 8.667, the bottom sides of the triangles - which are the parallel sides of the trapezoid - will also be in the same ratio. By finding the length of the shorter bottom side, we can divide the length of the longer bottom side by 8.667 to get the missing length on the shorter side.

A bag contains 5 red cubes and 7 white cubes. Celinda will select one cube, put it in her pocket, and then select a second cube. Which expression gives the probability that she will select two red cubes?

Answers

Answer:

The expression which gives the probability that she will select two red cubes = 5/12 * 4/11 ....

Step-by-step explanation:

According to the statement there are 4 red cubes and 7 white cubes.

The total number of cubes are = 7+5 = 12

If she picks up one red cube then the number of ways of picking up red cubes out of 12 is = 5/12

If she picks up 2nd red cube then  the number of ways of picking up 2nd red cube = 4/11

Therefore the expression which gives the probability that she will select two red cubes = 5/12 * 4/11 ....

Help me with quistion 1 and 2

Answers

The answer to number 1 is B

Answer:

1.B

first picture is x greater than or equal to 4

second picture is x less than or equal to 4

then x>4 is a open circle and a line to the  right

then x<4 to the left

Step-by-step explanation:

Which is equivalent to (9y^2-4x)(9y^2+4x), and what type of special product is it?


A: 81y^4-16x^2, a perfect square trinomial

B: 81y^4-16x^2, the difference of squares

C: 81y^4-72xy^2-16x^2, a perfect square trinomial

D: 81y^4-72xy^2-16x^2, the difference of squares

Answers

Answer:

Option B: 81y^4-16x^2, the difference of squares

Step-by-step explanation:

we know that

The Difference of Squares is two terms that are squared and separated by a subtraction sign

so

[tex](a+b)(a-b)=(a^{2}-b^{2})[/tex]

In this problem we have

[tex](9y^{2}-4x)(9y^{2}+4x)[/tex]

Let

[tex]a=9y^{2}[/tex]

[tex]b=4x[/tex]

so

[tex]a^{2}=(9y^{2})^{2}=81y^{4}[/tex]

[tex]b^{2}=(4x)^{2}=16x^{2}[/tex]

substitute

[tex](9y^{2}-4x)(9y^{2}+4x)=81y^{4}-16x^{2}[/tex]

Answer: b

Step-by-step explanation: edge 2022

Write a general formula to describe the variation: x varies jointly with the inverse of r and the inverse of the square of the sum of y and z

Answers

[tex]\bf \qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{"x" varies with}}{x}~~=~~k\stackrel{\textit{inverse of "r"}}{\cfrac{1}{r}}\cdot \stackrel{\stackrel{\textit{inverse of}~\hfill }{\textit{square of a sum}}}{\cfrac{1}{(y+z)^2}}~\hfill x=\cfrac{k}{r(y+z)^2}[/tex]

The variation: x varies jointly with the inverse of r and the inverse of the square of the sum of y and z is,  [tex]x = \frac{1}{r + y^{2} + z^{2} }[/tex]

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

the variation,

x varies jointly with the inverse of r

And the inverse of the square of the sum of y and z

[tex]x = \frac{1}{r + y^{2} + z^{2} }[/tex]

Therefore, the general formula  [tex]x = \frac{1}{r + y^{2} + z^{2} }[/tex]

To know more about Equation check:

https://brainly.com/question/1529522

#SPJ2

Simplify (4x − 6) + (5x + 1).

Answers

Answer:

[tex]\displaystyle =9x-5[/tex]

Step-by-step explanation:

[tex]\displaystyle 4x-6+5x+1[/tex]

Group like terms.

[tex]\displaystyle 4x-6+5x+1[/tex]

Add the numbers from left to right.

[tex]4+5=9[/tex]

[tex]9x-6+1[/tex]

Add and subtract numbers from left to right to find the answer.

[tex]6-1=5[/tex]

It change to postive to negative sign.

[tex]\displaystyle=9x-5[/tex], which is our answer.

Answer:

The simplified form is 9x - 5

Step-by-step explanation:

It is given an expression in variable x

(4x − 6) + (5x + 1).

To find the simplified form

(4x − 6) + (5x + 1). =  4x − 6 + 5x + 1

 = 4x + 5x - 6 + 1

 = 9x -5

Therefore simplified form of given expression  (4x − 6) + (5x + 1) is,

9x - 5

Steps for solving 6x - 18 = 54 are shown.
Explain how Step 1 helps solve the equation.

Answers

Answer:

x = 12

Step 1 helps solve the equation, for it helps isolate the x, which is what you are solving for.

Step-by-step explanation:

Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS:

Step 1: Add 18 to both sides.

6x - 18 (+18) = 54 (+18)

6x = 54 + 18

6x = 72

Step 2: Divide 6 from both sides:

(6x)/6 = (72)/6

x = 72/6

x = 12

x = 12 is your answer.

~

Answer:

[tex]\huge \boxed{X=12}[/tex]

Step-by-step explanation:

Add by 18 from both sides of equation.

[tex]\displaystyle 6x-18+18=54+18[/tex]

Add numbers from left to right.

[tex]\displaystyle 54+18=72[/tex]

[tex]\displaystyle 6x=72[/tex]

Divide by 6 from both sides of equation.

[tex]\displaystyle \frac{6x}{6}=\frac{72}{6}[/tex]

Simplify, to find the answer.

[tex]\displaystyle 72\div6=12[/tex]

[tex]\huge \boxed{x=12}[/tex], which is our answer.

15 points!!
What do you think? And why?

Answers

Angle ECF is facing outward and is not locked into the polygon ABCD being formed on the plane. Because of this, it would be an exterior angle.

LOOK AT PICTURE. VOLUME OF CAN PROBLEM

Answers

Answer:

The correct answer is third option.  994

Step-by-step explanation:

Points to remember

Volume of cylinder = πr²h

Where 'r' is the radius and 'h' is the height of cylinder

From the given question we get the cylinder height and radius

The height h = 3 times the diameter of one ball

 = 3 * 7.5 = 22.5 cm

Radius = half of the diameter of a ball

 = 7.5/2 = 3.75 cm

To find the volume of cylinder

Volume of cylinder = πr²h

 = 3.14 * 3.75² * 22.5

 = 993.515 ≈ 994

The correct answer is third option.  994

What do I do for this question?

Answers

a chord intersected by a radius segment at a right-angle, gets bisected into two equal pieces, namely MO = NO and PZ = QZ.

[tex]\bf MO=NO\implies \stackrel{MO}{18}=NO\qquad \qquad NO=6x\implies \stackrel{NO}{18}=6x \\\\\\ \cfrac{18}{6}=x \implies 3=x \\\\[-0.35em] ~\dotfill\\\\ PZ=x+2\implies PZ=3+2\implies PZ=5=QZ \\\\[-0.35em] ~\dotfill\\\\ PQ=PZ+QZ\implies PQ=5+5\implies PQ=10[/tex]

Two sat math questions. Percentage and a graph

Answers

Answer:

15) 300%

Step-by-step explanation:

15)

Let the item originally cost n dollars.

The new incorrect price is (n-.6n).

So we want to find k such that (n-.6n)+k(n-.6n)=n+.6n

since we actually wanted it to be (n+.6n).

So we have (n-.6n)+k(n-.6n)=n+.6n

Distribute:

n-.6n+kn-.6nk=n+.6n

Subtract n on both sides

  -.6n+kn-.6nk=.6n

We are trying to solve for k. So add .6n on both sides:

kn-.6nk=1.2n

Divide both sides by n:

k-.6k=1.2

.4k=1.2

Divide both sides by .4

k=1.2/.4

k=3

So 3=300%.

The incorrect price must be increased by 300% to get to the proper new price.

Here is an example:

Something cost $600.

It was reduce by 60% which means it cost 600-.6(600)=600-360=240

This was the wrong price.

We needed it to be increased by 60% which would have been 600+360=960.

So we need to figure out what to increase I wrong price 240 to to get to our right price of 960.

240+k(240)=960

1+k=960/240

1+k=4

k=3

So 240*300%+240 would give me my 960.

16) Speed=distance/time

In the first half hour, she traveled 5 miles (8:30 to 9).

In 1/3 hour she traveled (5-2)=3 miles (9 to 9:20).

We are told not to do anything where she stayed still.

In the last half hour, she traveled (2-0)=2 miles (9:30 to 10).

The average speed=[tex]\frac{5+3+2}{\frac{1}{2}+\frac{1}{3}+\frac{1}{2}}=\frac{10}{\frac{4}{3}}=\frac{10(3)}{4}=\frac{30}{4}=\frac{15}{2}=7\frac{1}{2}[/tex].

6⁄10 _______ 9⁄12 A. > B. ≤ C. = D.

Answers

6/10 is equal to 0.60
9/12 is equal to 0.75
your answer is not above for D but if D is < then that would be the correct answer :)

For this case we must indicate the sign corresponding to:

[tex]\frac {6} {10}[/tex]and [tex]\frac {9} {12}[/tex]

We have to:

[tex]\frac {6} {10} = 0.6\\\frac {9} {12} = 0.75[/tex]

It is observed that[tex]0.75> 0.6[/tex]

So we have to:

[tex]\frac {6} {10} <\frac {9} {12}[/tex]

Answer:

[tex]\frac {6} {10} <\frac {9} {12}[/tex]

ANY HELP IF POSSIBLE THANK YOU :)

Answers

Answer:

See explanation

Step-by-step explanation:

There 2 black shapes (one circle and one square) and 2 white shapes (1 circle and 1 square).

1. The ratio of the number of white shapes to the number of black shapes is 2:2=1:1.

2. The ratio of the number of white circls to the number of black squares is 1:1.

3. The ratio of the number of black circles to the number of black squaress is 1:1.

4. There are 4 shapes and 2 are circles (1 white and 1 black), so circles are [tex]\dfrac{2}{4}=\dfrac{1}{2}[/tex] of all shapes.

What are the solutions of the equation 6x2 +5x+1 = 0 ?

Answers

Answer:

Step-by-step explanation:

6x^2+5x+1=0

Descr= b^2-4ac

Descr= 25-24=1

X1= (-b+√descr)/2a = (-5+1)/12= -1/3

X2= (-b-√descr)/2a = (-5-1)/12= -1/2

Answer:

see explanation

Step-by-step explanation:

Given

6x² + 5x + 1 = 0

To factorise the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

The factors are + 3 and + 2

Use these factors to split the x- term

6x² + 3x + 2x + 1 = 0 ← ( factor the first/second and third/fourth terms )

3x(2x + 1) + 1 (2x + 1) = 0 ← factor out (2x + 1) from each term

(2x  1)(3x + 1) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]

circle O has a circumference of 36tt cm. what is length of the radius r

Answers

Answer:

5.73cm

Step-by-step explanation:

Given parameters:

Circumference of the circle = 36cm

Unknown

Length of the radius = ?

Lets represent the radius by r

Solution

The circumference of a circle is the defined as the perimeter of a circle. The formula is given as:

            Circumference of a circle = 2πr

Since the unknown is r, we make it the subject of the formula:

           r = [tex]\frac{circumference of the circle}{2π}[/tex]

          r = [tex]\frac{36}{2 x 3.142}[/tex] = [tex]\frac{36}{6.284}[/tex] = 5.73cm

Answer:

The radius = 18 cm.

Step-by-step explanation:

I am assuming that is 36π.

If so, then  circumference  = 2 π r and:

2 π r =  36 π

r  = 36π / 2π

r = 18.

to solve the equation below by completing the square, what is your first step?
3x^2+18x=21

Answers

Answer:

Multiply both sides of the equation by 1/3

Step-by-step explanation:

3x^2+18x=21

The first step is to get the x term with a coefficient of 1, so divide by 3 on both sides of the equation

This is the same as multiplying by 1/3

1/3 * (3x^2+18x)=21*1/3

x^2 +6x = 7

Solve exponential equations


5x − 2=625

Answers

Answer:

x = 6

Step-by-step explanation:

[tex]5^{x-2}=625\\\\5^{x-2}=5^4\qquad(5^4=5\cdot5\cdot5\cdot5=625)\\\\5^{x-2}=5^4\Rightarrow x-2=4\qquad\text{add 2 to both sides}\\\\x-2+2=4+2\\\\x=6\\\\\text{check:}\\\\5^{6-2}=5^4=625\qquad\bold{CORRECT}[/tex]

What is the length of AC? Round to the nearest tenth.
The equation sin(40°) = can be used to determine the
length of line segment AC.
11.8
12.9 cm
14.9 cm
15.3 cm

Answers

Answer:

12.9

Step-by-step explanation:

!!!!

The length of AC is approximately 12.9cm

Triangle identity

Given the following identity

Opposite = ACHypotenuse = 20cm

Using the SOH CAH TOA identity

sin 40 = AC/20

AC = 20sin40

AC = 20(0.6428)

AC = 12.9cm

Hence the length of AC is approximately 12.9cm

Learn more on SOH CAH TOA here;

https://brainly.com/question/20734777

Consider the example of finding the probability of selecting a black card or a 6 from a deck of 52 cards.

Answers

Answer:

The probability of selecting a black card or a 6 = 7/13

Step-by-step explanation:

In this question we have given two events. When two events can not occur at the same time,it is known as mutually exclusive event.

According to the question we need to find out the probability of black card or 6. So we can write it as:

P(black card or 6):

The probability of selecting a black card = 26/52

The probability of selecting a 6 = 4/52

And the probability of selecting both = 2/52.

So we will apply the formula of compound probability:

P(black card or 6)=P(black card)+P(6)-P(black card and 6)

Now substitute the values:

P(black card or 6)= 26/52+4/52-2/52

P(black card or 6)=26+4-2/52

P(black card or 6)=30-2/52

P(black card or 6)=28/52

P(black card or 6)=7/13.

Hence the probability of selecting a black card or a 6 = 7/13 ....

Other Questions
What effect does the lack of pneumotaxic and stretch receptor neurons have on ventilation? The purpose of a database is to help people stop using spreadsheets. Evaluate the circulation of G =xyi +zj +3yk around a square of side length 9, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis. A curve of radius 28 m is banked so that a 990 kg car traveling at 41.1 km/h can round it even if the road is so icy that the coefficient of static friction is approximately zero. You are commissioned to tell the local police the range of speeds at which a car can travel around this curve without skidding. Neglect the effects of air drag and rolling friction. If the coefficient of static friction between the road and the tires is 0.300, what is the range of speeds you tell them? Jakob likes to question everything, from why his parents keep plants in the house to why his teacher wants the class to make paintings for their class project. The exasperated teacher exclaimed, Because I said so, Jakob! Jakob internalized the message that obedience is valued by his teacher. Obedience in Jakob's class is an example of a hidden _____. What are the steps for endochondral ossification? Rote memorization is defined asa. finding one of the five senses to use as a trigger for memory.b. studying by reading the same information over and over again.c. using the first letter in a series of words to create a new word. d.visualizing images to make a series of associations through those images. What is 72/5 in decimal form 18. One biker rode at an average speed of 10.1 kilometers per hour. How far didbikeshe ride in 5 hours? Evaluate the expression a-b/c*d when a=48, b=18, c=3, and d=2 rohini is ____ B.A. pass student (a/an/the) 2x + y = 8 x + y = 4 The lines whose equations are given intersect at (4, 0) (0, 4) all points on the line What is the main idea that President Clinton tries tocommunicate in this quotation?The global economy is giving more of our own people andbillions around the world the chance to work and live andraise their families with dignity. But the ... expansion oftrade hasn't fully closed the gap between those of us wholive on the cutting edge of the global economy and thebillions around the world who live on the knife's edge ofsurvival. This global gap requires more than compassion;it requires action.---President Bill ClintonJanuary 18, 2001Free trade creates unrestricted benefits for everynation that participates.Free trade is beneficial, but steps must be taken toprotect the needy.Free trade does not provide benefits to participants.The expansion of trade has created prosperity foreveryone. Using the phase diagram for CO2, what phase is carbon dioxide in at -60C and 1 atm pressure? A.Solid B.Gas C.At the melting point D.Liquid A cylindrical resistor has a length of 2 m and a diameter of 0.1 m. If I hook up a 12 V battery to the resistor and notice that the current flowing through the resistor is 3.2 A, what is the resistivity of the resistor? A. 4.12 x 103 ? m B. 1.15 x 103 ? m C. 6.10 x 102 ? m D. 1.47 x 102 m The average NBA ticket price for the 2018-2019 season is up 14.01% from the average ticket price of $78 during the 2015-2016 season. what is the average ticket price in 2018-2019? Round to the nearest penny. Opposed to the idea that government should be directly involved in peoples lives. True or False PLEASE HELP, I NEED TO BE HELPED WITH THESE QUESTIONS factor the expression 6g^3 + 8g^2 - 15g - 20 3.A traffic light is suspended by two cables. Whatshould be the angle between the cables (0) so that thetension in each cable will be equal to the weight of thetraffic signal light (W=T, = T)?