All categories

2 years ago

The perimeter of a rectangle is 70 cm. The ratio of length to width is 2:5. Find the length and width of the rectangle.

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

5 0

Answer:

length = 10 cm; width = 25 cm

Step-by-step explanation:

Let's call the length 2x and the width 5x. Since perimeter can be calculated by multiplying the sum of the length and width by 2 we can write:

2 * (2x + 5x) = 70

2 * (7x) = 70

7x = 35

x = 5 which means the length is 2 * 5 = 10 and the width is 5 * 5 = 25.

You might be interested in

HELPHELEHEPELEHELPEGELPE

otez555 [7]

Answer: A= 68 square centimeters

Step-by-step explanation:

A= $B^{1}$ + $B^{2}$ /2 x h

6+11=17

17/2=8.5

8.5 x 8= 68

3 0

1 year ago

NEED HELP PLEASE!! 3 to the power of 4 + 2 ⋅ 5 = ____. (Input whole numbers only.)

olya-2409 [2.1K]

3^4 + 2 * 5 = 91

The answer is 91.

6 0

2 years ago

$24 saved after 3 weeks; $52 saved after 7 weeks

Hoochie [10]

Answer:

What is the mission

Step-by-step explanation:

3 0

1 year ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

We select the positiv value.

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

4 0

2 years ago

Can someone please help me . 3/5 = x/15, x = ??

lubasha [3.4K]

Answer:

Step-by-step explanation:

multiply both sides by 15 to get:

45/5 = x

9 = x

7 0

2 years ago

Read 2 more answers