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Alisiya [41]
3 years ago
13

Find the rectangle of largest area that can be inscribed in a semicircle of radius r, assuming that one side of the rectangle li

es on the diameter of the semicircle.

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0
The two below rectangle shows the inscribed rectangle and diameter that lies on the circle.

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A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.
Anton [14]

Answer:

Height of cylinder is \frac{4}{5}\ ft.

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

R = \dfrac{D}{2}

So, radius, R = \frac{6}{2} \Rightarrow 3 feet

Let height of cylinder be h feet.

Formula for volume of cylinder is given by:

V = \pi R^{2} H

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

V = \dfrac{36 \pi}{5} ft^{3}

Using formula for volume, V = \pi R^{2} H

\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft

Hence, Height of cylinder is \frac{4}{5}\ ft.

7 0
3 years ago
A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the wate
sasho [114]

Answer:

The fish is 2.25 ft above the surface at 0.375 seconds

Step-by-step explanation:

Given:

y=-16x^2+12x

x=0.375 seconds

Substitute x=0.375 into the equation

y=-16x^2+12x

= -16(0.375)^2 +12(0.375

= -16(0.140625) + 4.5

= -2.25 + 4.5

= 2.25

y=2.25 ft

The fish is 2.25 ft above the surface at 0.375 seconds

8 0
4 years ago
15. Sonny has $75 to spend. The purchase he wants to make requires
7nadin3 [17]

If he has $75 and need $93 to make the purchase, he needs to find the difference between what he needs and what he has:

     93 - 75 = 18

He needs to borrow $18 to make the purchase.

3 0
3 years ago
Read 2 more answers
Write down in terms of
Nata [24]

Answer:

-5

Step-by-step explanation:

Here,

t2-t1=20-25=-5

t3-t2=15-20=-5

t4-t3=10-15=-5

t5-t4=5-10=-5

5 0
3 years ago
400÷6= show how you get 66r6
Aleksandr [31]

Answer:

 0 6 6

   6 ⟌ 4 0 0

     - 0    

       4 0  

     - 3 6  

         4 0

     -   3 6

           4

Step-by-step explanation:

8 0
3 years ago
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