The perimeter of a regular pentagon is 17.5 inches. What is the length of each side? 3.5 in. 4 in. 5.8 in. 87.5 in.

Answer:

55%

Step-by-step explanation:

100% - 45% = 55%

Step-by-step explanation:

We know that

Total percentage = 100%

Percentage of boys = 45%

Percentage of girls = ( 100 - 45)%

=55%

Answer:

1

2

Step-by-step explanation:

Answer:

x=43

Step-by-step explanation:

Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.

x+72 = 115

then you subtract 72 from both sides

x=43

Answer: a simplified expression to represent the number of members this year is: x = 1.15 * (m)

Step-by-step explanation:

For this case what you can do is the following rule of three:

m ---> 100%

x ----> 115%

Clearing the value of x we have:

x = (115/100) * (m)

x = 1.15 * (m)

Answer:y=9(8)^x

Step-by-step explanation:

The exponential function that passes through the points (0,9) and (3,4608) is y = 9 * 8^x. This was determined by using the given points to find the values of a and b in the function y = ab^x.

To write an exponential function that passes through the points (0,9) and (3,4608), we start with the general form y=abx. Using the given points, we can set up two equations based on their coordinates. The first point (0,9) leads to the equation 9 = a * b0, which simplifies to 9 = a since anything raised to the power of 0 is 1. The second point (3,4608) gives us 4608 = a * b3.

Now that we know a = 9, we can substitute it into the second equation to find the value of b: 4608 = 9 * b3. Dividing both sides by 9, we get 512 = b3, which leads to b = 8 after taking the cube root of 512. Thus, the exponential function we are looking for is y = 9 * 8x.

Answer:

The last bit is correct, a2 + b2 = c2 for all right triangles? You do not divide the measurements you can only add up the squares to find the square of the hypotenuse as the sum, and then square root the totaled squares back to a new number. It does not cover the area like the statement said so only the question is true as Pythagoras theorem can be used to find a missing side or to find the missing hypotenuse.

Step-by-step explanation:

Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?

Answer yes but only for c2 if we area adding.

This is because if we were looking and missing for a smaller side to the triangle measure and was already given the hypotenuse as one measure, then we can subtract either given alternative side would be; c2 - b2 = a2 to find an alternative side we subtract.

and c2- b2 = a2 works the same as c2 -a2 = b2.

None of the above formula finds the area, for the area we would need to multiply to find the height.

A = 1/2 x a x b

We have a different understanding to area

The area of a triangle is 1/2 given by the equation:

AΔ=(1/2)∗(base)∗(height) which is the smae as A= 1/2 x a x b

Eg)

Given: Measurements of A + B In attachment picture.

A = 3 cm

B = 4 cm

What is the area of the right triangle ABC?

Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives:

AΔ=(1/2)∗3∗4=6cm2

So to find area we multiply A by 1/2 and multiply that product by the length of B (base).

Answer:

55/3 its a fraction hope this helps

Step-by-step explanation:

Answer:

(-5,2)

Step-by-step explanation:

The solution to the system is where the two lines cross

x = -5

y = 2

Answer:

Option A, (-5, 2)

Step-by-step explanation:

Step 1:  Determine the solution

The solution is where both of the lines intersect.  In this graph, they intersect at the x-value -5 and at a y-value of 2.

Answer:  Option A, (-5, 2)

Answer:

16

Step-by-step explanation:

2:3=x:24

2/3=x/24

(24)(2/3)=x

x=16

Answer:

copper=3kg

nikhil=5/4 kg

zinc=3/4 kg

Step-by-step explanation:

copper:nikhil:zinc

12:5:3

let x be one value

12x+5x+3x=5

20x=5

x=5/20=1/4

12*1/4=12/4=3

5*1/4=5/4=1 1/4

3*1/4=3/4

To make 5 kg of the alloy, you would need:

A ratio is a mathematical comparison of two quantities or values. It expresses the relationship or proportion between the quantities being compared. Ratios can be represented in different forms, such as fractions, decimals, or as a colon (:).

Let's calculate the amounts for each metal:

Copper:

The ratio indicates that for every 12 parts of the alloy, 1 part should be copper.

So, the amount of copper needed

= 12/20 x 5

= 3 Kg

Nickel:

For every 5 parts of the alloy, 1 part should be nickel.

So, the amount of nickel needed

= 5/20x 5

= 1.25 Kg

Zinc:

For every 3 parts of the alloy, 1 part should be zinc.

So, the amount of zinc needed

= 3/20 x 5

= 0.75 Kg

Learn more about Ratio here:

https://brainly.com/question/31945112

#SPJ2

Answer:

Option B, [tex]-11g + 15[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]-g - 5(2g - 3)[/tex]

[tex]-g + (-5 * 2g) + (-5 * -3)[/tex]

[tex]-g - 10g + 15[/tex]

[tex]-11g + 15[/tex]

Answer: Option B, [tex]-11g + 15[/tex]

Answer:

Equilateral Triangle Has Three ⚟ equal angles because it sides are equal then opposite angle are also equal.

Thank You ☺️ ☺️.

Equilateral triangle has three equal angles.

there are three types of triangle.They are scalene triangle,isosceles raingle and equilateral triangle.Equilateral triangles are also the types of triangle which have three equal sides.

Answer:

There is 1 excluded value

The excluded value is -4

Step-by-step explanation:

This is correct on edge

Answer:

last one is -3 and -2

Step-by-step explanation:

on edge

Answer:

See below.

Step-by-step explanation:

Formula:

[tex] a_n = 3(n + 4) [/tex]

First term: n = 1

[tex] a_1 = 3(1 + 4) = 15 [/tex]

Second term: n = 2

[tex] a_2 = 3(2 + 4) = 18 [/tex]

Third term: n = 3

[tex] a_3 = 3(3 + 4) = 21 [/tex]

Fourth term: n = 4

[tex] a_4 = 3(4 + 4) = 24 [/tex]

Tenth term: n = 10

[tex] a_{10} = 3(10 + 4) = 42 [/tex]

The explicit formula is [tex]a_{n}[/tex] = 4 + (n - 1)3 first four terms will be 4, 7, 10, and 13 and the 10th term will be 31.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2.

Let's say

First term = 4

Common difference = 3

Then

The nth term of the AP will be

[tex]a_{n}[/tex] = 4 + (n - 1)3

First term: n = 1

a₁ = 4

Second term: n = 2

a₂ = 7

Third term: n = 3

a₃ = 10

Fourth term: n = 4

a₄ = 13

Tenth term: n = 10

a₁₀ = 31

Hence, the explicit formula is [tex]a_{n}[/tex] = 4 + (n - 1)3 first four terms will be 4, 7, 10, and 13 and the 10th term will be 31.

For more about Arithmetic progression,

https://brainly.com/question/20385181

#SPJ2

Answer:3

Step-by-step explanation:

2x8=16

There are 5 people in total

16/5=3.2

Whole number so 3 slices

Answer:

I think its 23o

Step-by-step explanation:

Answer:

a=15

Step-by-step explanation:

5a-10b=45

5a-10*3=45

10*3=30

5a-30=45

+30

5a=75

75/5=15

a=15

Answer:

A=15

Step-by-step explanation:

Answer: 26

Step-by-step explanation: Here, we have the expression 7s + 5 and we want to evaluate the expression when s is equal to 3.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since s is equal to 3,

we have 7(3) + 5.

Notice that I used parentheses around the 3. It's always a good idea to use parentheses when substituting/plugging in numbers for variables.

Solving from here, 7(3) is equal to 21.

So we have 21 + 5 which is equal to 26.

So the value of our expression

when s is equal to 3 is 26.

Answer:

1070 (no unit of measurement is given)

Step-by-step explanation:

What we know:

height = 25

length = 15

width = 4

surface area formula: 2(wl+hl+hw)

w = width l = length h = height

2·(4·15+25·15+25·4)=1070

The surface area of the cereal box is 980 square units.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

To find the surface area of a rectangular prism, we need to calculate the area of each of its six faces and add them together.

The formula for the surface area of a rectangular prism is:

Surface area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

Substituting the given values, we have:

Surface area = 2(15 x 4) + 2(15 x 25) + 2(4 x 25)

Surface area = 30 + 750 + 200

Surface area = 980 square units

Therefore,

The surface area of the cereal box is 980 square units.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ3

So the last number is 34.

Hope this will help u...

Algebra can be used to solve a random number problem by considering order of operations.

Step-by-step explanation:

Algebra is one of the broad parts of mathematics, together with number theory, geometry, and mathematical analysis. It is used to represent the  letters and symbols than numbers and quantities.

Algebra is of two types

i.) Elementary algebra  ,   ii.) Abstract algebra

Elementary algebra is used for any study and their applications.

Abstract algebra is used for advanced mathematics by professionals.

The order of operations in algebra means solving first for exponents or roots, then multiplication, division, addition, and last for subtraction. The steps for the order of operations also require attention to mathematical grouping symbols, such as parentheses and brackets.

To solve a random number problem using algebra, understand the problem's context, convert the numbers into usable formats, apply algebraic techniques, and verify the results. For instance, Lisa uses random numbers generated by a calculator to select class members uniquely. These steps help solve such problems efficiently.

Applying Algebra to Solve a Random Number Problem:

To apply algebra to solve a random number problem, follow these steps:

By following these steps, you can solve random number problems efficiently using algebra.

Random numbers can be generated using various tools like tables or calculators, and their manipulation often requires algebraic techniques. Using a combination of these methods allows one to solve real-world problems, such as selecting class members or calculating probabilities.

Answer:

246 Square Feet

Step-by-step explanation:

The cubes are of side length 1ft , 2ft, 3ft , 4ft, and 5ft in that order.

If the side of each smaller cube is completely touching the side of the adjacent larger cube.

Surface Area of the Solid [tex]= 5(l_1)^2+4(l_2)^2+4(l_3)^2+4(l_4)^2+5(l_5)^2, where \: l_1,l_2,l_3,l_4,l_5[/tex]

are the length of the cubes in that order

Surface Area of the Solid

[tex]= 5(1)^2+4(2)^2+4(3)^2+4(4)^2+5(5^2)\\=5+16+36+64+125\\=246 \:Square\: feet[/tex]

Answer:

The arrow is at a height of 48 ft after approximately 0.55 s  and after 5.45 s​

Step-by-step explanation:

The following information is missing:

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?

If the arrow is at a height of 48 ft and its initial velocity is 96 ft/s, then:

48 = 96*t - 16*t²

16*t² - 96*t + 48 = 0

16*(t² - 6*t + 3) = 0

t² - 6*t + 3 = 0

t² - 6*t + 3 + 6 = 0 + 6

t² - 6*t + 9 = 6

(t - 3)² = 6

t - 3 = √6

t - 3 = 2.45; t = 2.45 + 3; t = 5.45

or

t - 3 = -2.45; t = -2.45 + 3; t = 0.55

Answer: 0.55 & 5.45

Step-by-step explanation:

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

A segment XD is drawn in rectangle QUAD as shown  below.

What are the measures of ∠XDQ and ∠UXD ?

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=>  ∠XDQ = ∠ADU - ∠ADX

= 90°  - 49°  = 41°

In the triangle ADX, we can find out the angle of ∠DXA

= 180° - ∠DAX - ∠ADX

= 180° - 90° - 49°

= 41°

=> ∠UXD = 180° - ∠DXA  (Because UA is a straight line)

=180° - 41°  

= 139 °  

Answer: The shape would be on the same numbers but all positive and would just be looking the to the right.

Step-by-step explanation: So put it on the right side of the line going up and make it look the oppisite way it is now. on the same numbers but positive.

Reflection of an L-shaped object with respect to the y-axis is a horizontal flip resulting in a mirror image with opposite signs

When an L-shaped object is reflected with respect to the y-axis,

It means that every point on the object is reflected across the line that divides the object into two halves, with each half on either side of the y-axis.

This reflection results in the object being flipped horizontally.

The new orientation of the object is a mirror image of the original but with opposite signs.

The reflection of an L-shaped object with respect to the y-axis is an important concept in geometry and is often used in practical applications such as graphic design and architecture.

So the reflection of Figure A in the y-axis is A' which is attached below.

To learn more about coordinate axis visit:

https://brainly.com/question/30901684

#SPJ2

Step-by-step explanation:

X Y

-5 45

-4. 32

-3. 21

-2. 12

-1. 5

0 0

1. -3

2. -4

3. -3

4 0

5 5

To complete the table of values for y = x^2 - 4x, substitute the given values of x into the equation. To determine the matching graph, compare the shape, direction, and intercepts of the given curves to y = x^2 - 4x.

For part a), you need to substitute the given values of x into the equation y = x^2 - 4x to find the corresponding values of y.

So for x = 1, y = (1)^2 - 4(1) = 1 - 4 = -3.

For x = 2, y = (2)^2 - 4(2) = 4 - 8 = -4.

Similarly, you can find the values of y for the other given values of x.

For part b), look at the three curves drawn and find the one that matches the graph of y = x^2 - 4x. Compare the shape, direction, and intercepts of the graph to determine the correct curve.

https://brainly.com/question/30596142

#SPJ2

[tex]3x=-36|:3\\x=-12[/tex]

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/

Answer:

-12

Step-by-step explanation: To put it simple you want to get the x by itself which means you'll have to multiply both sides by 3

3x/3 = x

-36/3 = -12

x = -12

Answer:

The answer is 221.

Step-by-step explanation:

It is 221 because you find what number you can multiply both sides of the ratio by to get 391.

If you add both sides, 10 and 13, you get 23.

Divide 391 by 23 and you get 17.

Finally, multiply 13 by 17 and you get 221.