MATHEMATICS HIGH SCHOOL

Pentagons R and S are similar. The area of Ris 13 cm2. Calculate the area of S. 5 cm R 3 cm S 40 cm 15 cm​

Answers

Answer 1
Answer:

Answer: the area of pentagon S is approximately 4.68 cm².

Step-by-step explanation:

To find the area of a similar figure, you can use the concept of ratios. If pentagons R and S are similar, it means that their corresponding sides are proportional.

Let's denote the area of pentagon S as A(S), the area of pentagon R as A(R), the scale factor between them as k, and the area of R as 13 cm².

Since area is a two-dimensional measurement, it depends on linear dimensions (e.g., side lengths) squared. Therefore, if the scale factor between the two pentagons is k, the ratio of their areas will be k².

So, we have:

A(S) / A(R) = k²

We know that the area of R is 13 cm². Now, we need to find the scale factor k. To do that, we can use the ratio of their corresponding sides.

Given:

Side length of R (5 cm) corresponds to a side length of S (3 cm).

So, the scale factor (k) is:

k = (corresponding side length of S) / (corresponding side length of R) = 3 cm / 5 cm = 3/5

Now, we can find the area of S (A(S)) using the scale factor:

A(S) / 13 cm² = (3/5)²

A(S) / 13 cm² = 9/25

To find A(S), multiply both sides by 13:

A(S) = (9/25) * 13 cm²

A(S) = 9 * (13/25) cm²

A(S) = 4.68 cm²

So, the area of pentagon S is approximately 4.68 cm².

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A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle θ. The area A of the opening may be expressed as the function: A(θ) = 16 sin θ ⋅ (cos θ + 1). If θ = 60°, what is the area of the opening?
What is the LCD between these fractions 4/9 and 2/3
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A share of stock in the Bree Medical Supply Company is quoted at 35 1/4 . Suppose you hold 20 shares of that stock, which you bought at 31 1/2. If you sold your stock at 35 1/4, which of the following would be true?

Decrease 140g by 12.5%

Answers

Answer:

122.5g

Step-by-step explanation:

You would multiply 140 by 12.5% to get 17.5, and then you subtract 140-17.5 to get your answer of 122.5g.

38 There were 16 students at a chess club. 10 of the students were boys, and the rest were girls. What was the ratio of boys to girls at the chess club? (Show work)A 10:6
B 10:16
C 5:3
D 3:5 ​

Answers

Answer:

C) 5:3

Step-by-step explanation:

Given information:

Total students at the chess club: 16

Boys: 10

Girls: Rest of the students (16 - 10 = 6)

To find the ratio of boys to girls, divide the number of boys by the number of girls:

Ratio of boys to girls = Boys / Girls = 10 / 6

Simplify the ratio:

Ratio of boys to girls = 5 / 3

So, the correct answer is:

C) 5:3

i hope this helps! <3
C. 5:3

If there 16 students at chess club 10 of which were boys.

That would mean there are 6 girls, since 16-10=6.

The ratio of boys to girls is 10:6, which simplified would be 5:3.

Therefore the correct answer is C.

What is 1/9 of 63% of $6,000?

Answers

Answer:

The answer is $420

Step-by-step explanation:

The procedure is multiply the number 6000 by 63% and (1)/(9). The order of these multiplying doesn't matter.

The percentage number can be changed into a fraction number following the next rule:

Give a x number in a range from 0 to 100:

x%=(x)/(100)

So,

63%=(63)/(100)=0.63

(1)/(9)*0.63*6000=420

Finally, the answer is $420
The answer is $420. Multiply 6,000 by 0.63 to find 63% of 6,000. That gives you 3780. Then to find 1/9 of 3780, divide it by 9. The answer is 40.
Hope that helped.

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign? 4x + 5 4x – 5 8x + 5 8x – 5

Answers

The pet shop sign is modelled as a square. The area of the square is given as 16x^(2)-40x+25.

Technically we want to take a square root of this expression to find the length of one side of the square but we will check first whether factorising will give us equal roots

16x^(2)-40x+25
16 x^(2) -20x-20x+25
4x(4x-5)-5(4x-5)
(4x-5)(4x-5)

As we see that by factorising gives us (4x-5)^(2) hence the side length of the square is 4x-5

correct answer is

B)4x – 5

Jorge wants to write 4/5 as a sum of unit fractions.

Answers

Unit fractions are fractions whose numerators are 1 and whose denominators are positive integers.

4/5 written as a sum of unit fractions is:

1/5 + 1/5 + 1/5 + 1/5 = 4/5

Students reported volunteering at the animal shelter during the last 6 months for 25, 36, 31, and 32 hours. What is the mean absolute deviation for the number of hours students volunteered? Round to the nearest tenth.0
3
4
6

Answers

The correct answer for the question that is being presented above is this one: "3"

(1) First get the mean: 25 + 36+ 31 + 32 / 4 = 31
(2) Find the distance of each value to the mean: 31-25= 6; 36-31=5; 31-31=0; 32-31=1
(3) Get the mean of the distance: 6 + 5 + 0 + 1 / 4 = 3

So the mean deviation is 3.

Answer:the MAD is 3

Step-by-step explanation:i took the test on edg
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