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3 years ago

15

PLEASE HELP!!!

1 answer:

rosijanka [135]3 years ago

8 0

Answer:

Area of the other polygon = 4 in.²

Step-by-step explanation:

Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon

Let "x" represent the area of the smaller polygon

Thus, we have:

100/x = 20²/4²

100/x = 400/16

100/x = 25

Cross multiply

25x = 100

Divide both sides by 25

25x/25 = 100/25

x = 4

Area of the other polygon = 4 in.²

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Write each sum using summation notation.<br> 1+ 3 + 5 + 7 + ⋯ + 99

PIT_PIT [208]

Answer:

$\Sigma(2n-1) \left \{ {{n=50} \atop {n=1}} \right. \hspace{5} n\in N$

Step-by-step explanation:

First, we need to find the sequence associated to the summation. As you can see the sum only takes odd numbers into account. Hence the sequence it is defined by:

$2n-1$

Where:

$n\in N$

Now, we only need to find the limits of the summation:

Evaluating n=1

$2(1)-1=2-1=1$

Evaluating n=50

$2(50)-1=100-1=99$

Therefore the summation can be written as:

$\Sigma(2n-1) \left \{ {{n=50} \atop {n=1}} \right.$

4 0

4 years ago

Tom graphed the points A(2,-1) and B(3,4) on a coordinate plane.

FromTheMoon [43]

Answer:

AB = $\sqrt{34}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 2, 1) and (x₂, y₂ ) = B(3, 4)

d = $\sqrt{(3+2)^2+(4-1)^2}$

= $\sqrt{5^2+3^2}$

= $\sqrt{25+9}$

= $\sqrt{34}$

8 0

4 years ago

The troupe’s account balance first reached $500 on Day 4. The last day the account balance was $500 was

morpeh [17]

Answer:

<u><em>The answer is c, hope this helps</em></u>

Step-by-step explanation:

7 0

2 years ago

2. Which of the following is not an example of

Mariulka [41]

Answer:

B. 200

Step-by-step explanation:

A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.

Non perfect square numbers are 1*2=2,

3*1=3,

5*1=5,

3*2=6,

6*1=6,

7*1=7

Examples of perfect squares:

1*1=1

2*2=4,

3*3=9,

4*4= 16,

5*5=25,

6*6=36,

7*7=49,

8*8=64,

9*9=81,

10*10=100,

11*11=121,

12*12=144,

13*13=169,

14*14=196,

15*15=225 and so on

8 0

3 years ago

Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750π. What is the percentage change in

Firlakuza [10]

Answer:

50% change in volume

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes.</h2>

In this problem we are to find the volume of the first cylinder and compare with the second cylinder.

Given data

Volume v = ?

Diameter d= ?

Radius r = $10 in$

Height h= $5 in$

we know that the volume of a cylinder is expressed as

$volume = \pi r^{2}h$

Substituting our given data we have

$volume = \pi*10^{2}*5\\ volume= \pi *100*5\\volume= 500\pi in^{3} \\$

The first cylinder as a volume of $500\pi$

The change in volume is $750\pi - 500\pi = 250\pi$

percentage = $\frac{250\pi }{500\pi } *100$

$percentage=$ $0.5*100= 50$ %

6 0

3 years ago

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