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2 years ago

Please hurry in need for help!!

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

7 0

5 × x = 1/4 x = 1/4 ÷ 5 x = 1/20

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If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

3 years ago

Please answer ASAP!!!

Gwar [14]

Answer:

Wheres the question

Step-by-step explanation:

4 0

2 years ago

(3x-2)(2x^2+3x-1), after I distribute how would I get an exponent of three, for the 6x?

Aliun [14]

Because when multiplying you add the number of variables, and there are 3 X's so it would be 6x with an exponent of 3

7 0

2 years ago

When a circular plate is heated in an oven, its radius increases at the rate of 0.01 cm/min. At what rate is the plate’s area in

m_a_m_a [10]

Answer:

3.14 cm²/min

Step-by-step explanation:

rate of increasing of radius, dr/dt = 0.01 cm/min

r = 50 cm

Area of plate, A = πr²

rate of increase of area

dA/dt = 2πr dr/dt

dA/dt = 2 x 3.14 x 50 x 0.01

dA/dt = 3.14 cm²/min

Thus, the increase of rate of area is 3.14 cm²/min.

7 0

3 years ago

HELP ME OUT PLEASE I AHVE 5 MORE QUESTIONS

ziro4ka [17]

The answer is
14
87
14
2
87
14

In a row

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2 years ago