Find the measure of HG¯¯¯¯¯¯¯¯.
A. 12
B. 16
C. 14
D. 7

Answer:

See below.

Step-by-step explanation:

An equation with infinite solutions is, strictly, an identity.

An example is 2(x + 3) = 4x + 6

Simplifying  we get 4x + 6 = 4x + 6. We can replace by any value of x  and the equation will hold true.

Answer:

B. 130

Step-by-step explanation:

Since both sides of the triangle are 10, given that angle D is 25. We can conclude that angle F is also 25.

Total angle of triangle is equal to 180.

angle D + angle F + angle E = 180

25 + 25 + E = 180

50 + E = 180

E = 180 - 50

angle E = 130

Answer:

(- 7, - 1), 6 units

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - h)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Given

x² + y² + 14x + 2y + 14 = 0

Collect x/y terms together and subtract 14 from both sides

x² + 14x + y² + 2y = - 14

To obtain standard form use the method of completing the square

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(7)x + 49 + y² + 2(1)y + 1 = - 14 + 49 + 1

(x + 7)² + (y + 1)² = 36 ← in standard form

with centre (- 7, - 1) and radius = [tex]\sqrt{36}[/tex] = 6

measure of angle A is 20

step by step explaination:

sum of all three angles of a triangle = 180°

therefore angle s( A+B+C)= 180°

substitute the values of a, b and c angles

2x+5x+11x = 180

18x = 180

x= 180/18= 10 °

now check each given answers by putting the value of x, you will find only measure of 2x = 2x10= 20

The measurement of angle A will be equal to 20.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

The sum of all three angles of a triangle = 180°

Therefore angle s( A+B+C)= 180°

substitute the values of a, b and c angles

2x  +  5x  +  11x  =  180

18x  =  180

x  = 180 / 18  =  10 °

Now check each given answer by putting the value of x, you will find an only a measure of

2x   =  2  x  10  =   20

Therefore the measurement of angle A will be equal to 20.

To know more about an angle follow

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Answer:

m SQ = 95°

Step-by-step explanation:

The measure of the inscribed angle RSQ is one half the measure of its intercepted arc, that is

m RQ = 2 × 95° = 190°

To find the measure of SQ subtract the sum of the measures of SR and RQ from 360

m SQ = 360° - (75 + 190)° = 360° - 265° = 95°

Answer:

49π cm²

Step-by-step explanation:

area = πr²

fill in r=7cm

Answer:

720 different ways

Step-by-step explanation:

There are 6 ways to pick the first performer

Now there are 5 acts left

There are 5 ways to pick the 2nd performer

and so on

6*5*4*3*2*1

720

The total number of different ways to schedule six performers' appearances at a comedy club is calculated by finding 6 factorial (6!), which results in 720 unique permutations.

To determine the number of different ways to schedule six performers' appearances at a comedy club, we need to calculate the factorial of the number of performers, which represents the total number of unique permutations possible.

A permutation is an arrangement of all members of a set into some sequence or order.

We calculate the factorial of 6, which is denoted as 6! (6 factorial), and it is the product of all positive integers up to 6. Here is the calculation:

Start with the number 6.

Multiply it by the next lowest number, 5, to get 30.

Multiply 30 by 4 to get 120.

Multiply 120 by 3 to get 360.

Multiply 360 by 2 to get 720.

Multiply 720 by 1 (which doesn't change the value) to finish the calculation.

Therefore, the total number of different ways the six performers can schedule their appearances is 720.

Answer:

Part 1) The actual length of the banner is [tex]1.2\ m[/tex]

Part 2) The area of the banner is [tex]3.24\ m^{2}[/tex]

Step-by-step explanation:

we know that

The scale of the drawing is [tex]\frac{1}{30}[/tex]

That means ----> 1 cm on the drawing represent 30 cm in the actual

Using proportion

Find out the actual dimensions of the banner

Let

L  the actual length of the banner

W the actual width of the banner

For a length of 4 cm in the drawing

[tex]\frac{1}{30}=\frac{4}{L}\\ \\ L=30*4\\ \\L=120\ cm[/tex]

Convert the actual length to meters

[tex]L=120/100=1.2\ m[/tex]

For a width of 9 cm in the drawing

[tex]\frac{1}{30}=\frac{9}{W}\\ \\ W=30*9\\ \\W=270\ cm[/tex]

Convert the actual width to meters

[tex]W=270/100=2.7\ m[/tex]

Find the area of the banner

[tex]A=1.2*2.7=3.24\ m^{2}[/tex]

Answer:

Step-by-step explanation:

Put a = 2 and b = 5 to the expression

[tex][a+8(b-2)]^2\div4[/tex]

[tex][2+8(5-2)]^2\div4[/tex]

Use PEMDAS

P Parentheses first

E Exponents

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

[tex][2+8(5-2)]^2\div4=[2+8(3)]^2\div4=(2+24)^2\div4\\\\=(26)^2\div4=676\div4=169[/tex]

Step-by-step explanation:

Just pick a bunch of values of x, and use the formula to find the corresponding value of y.

For example

When x = 0, y = 0+5 = 5 ----> Plot the point (0,5) on graph paper

When x = 1, y = 1+5 = 6 ----> Plot the point (1,6) on graph paper

When x = 2, y = 2+5 = 7 ----> Plot the point (2,7) on graph paper

Then connect the dots to get a linear graph. You should get a graph that looks  like the one attached.

You first make a table with x and y

like this: x      |        y

then you think of possible values for x then solve for y

it needs to be positive , 0, and a negative like:

under x, you do:

2

0

-3

then you take the equation and solve for y.

after, with the y values, create a Cartesian plane and plot the points

so the points would be (2,7), (0,5), and (-3,2)

then you connect the points and draw arrows on both ends.

then label the line w/ the equation

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

hey btw, i learned this just yesterday. lol

great timing

Answer:

Step-by-step explanation:

We have:

rectangle 4.8 m × 3.8 m

two triangles with base b = 4.8 m and height h = 2.6 m

two triangle with base b = 3.8 m and height h = 2.9 m.

The formula of an area of a rectangle l × w:

[tex]A = lw[/tex]

Substitute:

[tex]A_1 = (4.8)(3.8) = 18.24\ m^2[/tex]

The formula of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_2=\dfrac{(4.8)(2.6)}{2}=6.24\ m^2\\\\A_3=\dfrac{(3.8)(2.9)}{2}=5.51\ m^2[/tex]

The Surface Area:

[tex]S.A.=A_1+2A_2+2A_3\\\\S.A.=18.24+2(6.24)+2(5.51)=41.74\ m^2[/tex]

Answer:

GIVE THE OTHER DUDE BRAINLISET

Step-by-step explanation:

Answer:

C)95%

Step-by-step explanation:

According to the oxford math center,

"The Empirical Rule

The Empirical Rule gives us a rule of thumb for approximating the proportion of a Normal distribution that falls within 1, 2, or 3 standard deviations of its mean.

Also called the 68-95-99.7 rule in some texts, for what will soon be obvious reasons, the Empirical Rules states that approximately

68% of a Normal distribution can be found within 1 standard deviation of its mean

95% of a Normal distribution can be found within 2 standard deviations of its mean

99.7% of a Normal distribution can be found within 3 standard deviations of its mean

"

We find that the deviation time is 2 min.

Therefore, we use the information given by the oxford math center and gather that it is C, or, 95 percent.

Answer:

95%

Step-by-step explanation:

I'm taking the test

A. 10 x d

Explanation :

1 box has d donuts. So that equation would be 1 x d. 10 boxes has d donuts. So that equation would be 10 x d.

Answer:

A

Step-by-step explanation:

-27 - 33x + 20x²

Combine like-terms in all sets of parentheses and just FOIL it:

[4x - 9][5x + 3]

F - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT

O - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT

I - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT

L - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT

I am joyous to assist you anytime.

Answer:

B

Step-by-step explanation:

It's not D. A sphere is a sphere. A billiard ball is a billiard ball. Both are spheres. No other name applies to the sphere.

It is not C. That might be true if you are talking about a circumference.

The exact definition is B. B is the answer.

A is not true. The cut must go through the center as B suggests.

[tex]\bf \cfrac{3^8a^{10}b^{-5}c^2}{3^{12}a^7b^{-3}c^{-2}}\implies \cfrac{a^{10}a^{-7}c^2c^2}{3^{12}\cdot 3^{-8}b^{-3}b^5}\implies \cfrac{a^{10-7}c^{2+2}}{3^{12-8}b^{-3+5}}\implies \cfrac{a^3c^4}{3^4b^2}~\hfill \begin{cases} a=4\\ b=8\\ c=3 \end{cases}[/tex]

[tex]\bf \cfrac{4^3\cdot ~~\begin{matrix} 3^4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 3^4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot 8^2}\implies \cfrac{~~\begin{matrix} 64 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 64 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 1[/tex]

Answer:

Step-by-step explanation:

[tex]\dfrac{3^8a^{10}b^{-5}c^2}{3^{12}a^7b^{-3}c^{-2}}\qquad\text{use}\ \dfrac{x^n}{x^m}=x^{n-m}\\\\=3^{8-12}a^{10-7}b^{-5-(-3)}c^{2-(-2)}=3^{-4}a^3b^{-2}c^{4}\\\\\text{substitute:}\ a=4,\ b=8,\ c=3:\\\\(3^{-4})(4^3)(8^{-2})(3^4)=(3^{-4}\cdot3^4)\bigg(2^2\bigg)^3\bigg(2^3\bigg)^{-2}\\\\\text{use}\ (x^n)(x^m)=x^{n+m}\ \text{and}\ \bigg(x^n\bigg)^m=x^{nm}\\\\=(3^{-4+4})\bigg(2^{(2)(3)}\bigg)\bigg(2^{(3)(-2)}\bigg)=(3^{0})(2^6)(2^{-6})\\\\\text{use}\ x^{-n}=\dfrac{1}{x^n}\ \text{and}\ (x^n)(x^m)=x^{n+m}[/tex]

[tex]=(1)\left(2^{6+(-6)}\right)=2^0=1\\\\\text{Used}\ a^0=1\ \text{for any real value of}\ a,\ \text{except 0}.[/tex]

Answer:

Decreasing

Step-by-step explanation:

y=mx+b is called slope-intercept from because it tells you the slope,m, and the y-intercept,b.

If the slope is positive then the line is increasing.

If the slope is negative then the line is decreasing.

If the slope is zero then the line is horizontal or constant.

So let's solve our equation for y:

y+x=3

Subtract x on both sides:

y=-x+3

The slope is -1.

Therefore the line is decreasing.

just a quick addition to @Freckledspots' great reply above.

y + x = 3

y = 3 - x

if we pick any random "x" value, and then pick another value larger than the one before for "x", to get a "y" value, if "y" is decreasing, the the first value of "y" will be larger, else it's increasing, let's do so, say using hmmm x = 2 and x = 7.

x = 2

y = 3 - 2

y = 1

x = 7

y = 3 - 7

y = -4

as "x" moves to the right, from 2 to 7, "y" moved down, from 1 to -4, thus is decreasing.

Answer:

Step-by-step explanation:

The formula of a volume of a rectangular prism:

[tex]V=lwh[/tex]

l - length

w - width

h - height

We have l = 5cm, w = 7cm and h = 12cm.

Substitute:

[tex]V=(5)(7)(12)=420\ cm^3[/tex]

Doubled the dimensions:

l' = (2)(5cm) = 10cm, w' = (2)(7cm) = 14cm, h = (2)(12cm) = 24cm.

Calculate the new volume:

[tex]V'=(10)(14)(24)=3360cm^3[/tex]

Calculate the quotient [tex]\dfrac{V'}{V}[/tex]

[tex]\dfrac{3360}{420}=8[/tex]

Generalization:

V = lwh - the volume of a prism l × w × h

2l × 2w × 2h - new dimensions

V' = (2l)(2w)(2h) = 8lwh = 8V - new volume

Answer:

considering the above 45*

to make the line that would represent 180*

180 - 45 = 135

(2 / 135 - 5)

62.5

62.5 is your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

You Can Use 4 dimes and 2 pennies

Or 42 Pennies, 8 Nickels and 2 pennies.

Hopefully this helps!

42 cents can be represented in a variety of ways using dimes (10 cents), nickels (5 cents), and pennies (1 cent). Some of the possible representations are 4 dimes and 2 pennies; 3 dimes, 2 nickels and 2 pennies; 8 nickels and 2 pennies, amongst others.

The question is about displaying the number 42 cents using dimes, nickels, and pennies. Each dime is equal to 10 cents, nickel is 5 cents and penny is 1 cent. Here's a few methods:

It's a fun exercise to see how many other ways you can come up with!

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Answer: Option C

A data set with less variation will have a smaller __ interquartile range__.

Step-by-step explanation:

The datasets that have less variation are those that have smaller dispersion or variation measures.

Some of these measures of variance are variance, standard deviation, mean absolute deviation, range and interquartile range. Among the options shown, the only one that is used as a measure of variation is the interquartile range. The interquartile range is the difference between the third quartile and the first quartile of a data distribution. In other words, the interquartile range measures the range between the central 50% of the data.

Then the answer is the option C

Answer:

Option D. Tre made an error when adding or subtracting

Step-by-step explanation:

we have the equation

[tex]3.57x + 1.61 = 4.71 - 2.63x[/tex]

Solve for x

Group terms that contain the same variable and move the constant to the other side

[tex]6.2x= 4.71 - 1.61[/tex]

Combine like terms

[tex]6.2x=3.1[/tex]

[tex]x=0.5[/tex]

Verify

Step 1: 3.57(0.5) + 1.61 = 4.71 - 2.63(0.5) ---> is correct

Step 2: 1.785 + 1.61 = 4.71 - 1.315  ----> is correct

Step 3: 3.395 = 6.025 ---> is not correct

because

4.71-1.315=3.395 instead of 6.025

therefore

Tre made an error when  subtracting

Answer: The answer is d

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

The vertical sides of the rectangle must be equal

10 =2y+4

Subtract 4 from each side

10-4 =2y+4-4

6 = 2y

Divide each side by 2

6/2 =2y/2

3=y

(x-1)(x-1) + (y+2)(y+2) = 3

x2 -1x -1x + 1 + y2 +2y +2y +4=3

x2 +y2 -2x +4y + 2=0

A is the answer

The other degree amount is 90 in a clockwise rotation.

Answer:

13

Step-by-step explanation:

Here's a method of finding the area of any polygon knowing its vertices. I'm using this parallelogram as an example.

Make a table like this (each vertex with its x- and y-coordinates):

Pt    x       y

A     3      6

B     6      5

C     5      1

D     2      2

A     3      6

Now multiply each x-coordinate by the y-coordinate on the line below and write it on the right side. Bold type shows the first multiplication.

       x       y

A     3      6

B     6      5      15

C     5      1        6

D     2      2      10

A     3      6      12

Now multiply each y-coordinate by the x-coordinate on the line below and subtract from each produce you already have. Do each subtraction. Bold type shows the first multiplication.

       x       y

A     3     6

B     6      5      15 - 36 = -21

C     5      1        6 - 25 = -19

D     2      2      10 - 2 =     8

A     3      6      12 - 6 =     6

Add all the differences.

       x       y

A     3      6

B     6      5      15 - 36 = -21

C     5      1        6 - 25 = -19

D     2      2      10 - 2 =     8

A     3      6      12 - 6 =     6

                                   +____

                                       -26

The area of the polygon is the absolute value of half of the sum of the differences.

area = |-26/2| = |-13| = 13

You can calculate the area of a parallelogram using the formula: Area = base * height. To do this, you need the length of the base and the perpendicular height of the parallelogram. For example, if the parallelogram has a base of 5 units and a height of 3 units, its area will be 15 square units.

The area of a parallelogram can be calculated with the formula: Area = base * height. In your question, you'll need to know the lengths of base and the height of the parallelogram ABCD to compute the area. It's essential to remember that the height is the perpendicular distance from the base to the top, not the length of the side.

Let's say, for example, the base of your parallelogram is 5 units and the height is 3 units. You would calculate the area as follows: Area = base * height = 5 units * 3 units = 15 square units.

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Step-by-step explanation:

cosec²x = 1/sin²x = (sin²x+cos²x)/sin²x =1 + cos²x/sin²x = 1 + cot²x.

Therefore:

1+cot²x = 3cot x - 1

cot²x - 3 cot x + 2 = 0

let cot x = t

t²-3t+2=0

t²-2t-t+2=0

t(t-2)-(t-2)=0

(t-1)(t-2)=0

t1=1

t2=2

so:

cot x = 1 then x1 = π/4 + πk

cot x = 2 then x2 = arccot(2) + πk

k is an integral.

Answer:

x = 20°

Step-by-step explanation:

In a circle, the measure of an inscribed angle is half the measure of the intercepted arc.

x = 40/2 = 20°

The scientist should use 90 ounces of Solution A and 90 ounces of Solution B to get the desired mixture.

To obtain 180 ounces of a 30% salt mixture, the scientist should use 90 ounces of Solution A (20% salt) and 90 ounces of Solution B (80% salt) by solving a system of two equations.

To solve the problem, we need to create a system of equations based on the quantities of salt in each solution and the desired final mixture. We want to mix Solution A (20% salt) and Solution B (80% salt) to get 180 ounces of a mixture that is 30% salt. Let the amount of Solution A be x ounces and the amount of Solution B be y ounces.

The two equations representing the system are:

Now, we solve this system of equations. Multiplying the second equation by 100 for simplicity, we get:

20x + 80y = 54  * 100

Using the first equation to express y in terms of x, we get y = 180 - x. Substitute y into the second equation:

20x + 80(180 - x) = 5400

Opening parentheses and simplifying gives us:

20x + 14400 - 80x = 5400

Subtract 20x from each side:

-60x + 14400 = 5400

Solving for x, we find that:

x = (14400 - 5400) / 60 = 90

Substituting x into y = 180 - x, we get y = 180 - 90 = 90.

Therefore, the scientist should use 90 ounces of Solution A and 90 ounces of Solution B to get the desired mixture.