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2 years ago

5

The perimeter of a parallelogram is 64 meters. The width of the parallelogram is 8 meters less than its length. Find the length

and the width of the parallelogram.

1 answer:

Lera25 [3.4K]2 years ago

7 0

Why do i need to answer it it is not helpful to me

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

Nitella [24]

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

$h=-16t^2 + 36t + 10$ ......(1)

Part (a) :

The maximum height reached by the ball is given by :

$\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s$

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

$h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m$

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3 years ago

The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder

cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V= $\pi r^2h$ , where r is the radius of cylinder, h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

$1600=\pi r^2(16).$

Dividing both sides by 16, we get

$\frac{1600}{16}=\frac{\pi r^2 (16)}{16}$

$r^2=100$

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

$\frac{x}{10}=\frac{4}{16}$

$\frac{x}{10}=\frac{1}{4}$

Multiplying both sides by 10, we get

$10 \times \frac{x}{10}=10 \times\frac{1}{4}$

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height = 4 in the formula of volume the cylinder, we get

$V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.$

Therefore, correct option is 25 pi cm^3.

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2 years ago

Please help! I do not know how to find the unknown variables using the Pythagorean theorem. Any help will be greatly appreciated

Aliun [14]

Answer:

pythagorean theorem=a squared + b squared =c squared

where c is the hypotenus(the longest part)

Step-by-step explanation:

16 squared = 8 squared +....

16 ×16=256=8×8=64 + y

256_64=192

sq. root of 192=13.85

y=180_90=90

90÷2=45

y=45

z=45

x=13.85cm

hope you understand

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2 years ago

Area of a pentagon with a radius of 8m

san4es73 [151]

Area = [radius^2 * 5 * sine (360/5)] / 2
area = [64 * 5 * 0.95106] / 2
area = <span> <span> <span> 152.1696 </span> </span> </span>

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2 years ago

4. How many total hours does a grocery clerk work if he

Fynjy0 [20]

The answer is 27:25 but it’s not on your letters

6 0

2 years ago

Read 2 more answers