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3 years ago

PLEASE HELP!!!

Mathematics

1 answer:

Ivanshal [37]3 years ago

4 0

Answer:

Cylinder A has a volume of 35.34 and Cylinder B has a volume of 58.9, the cylinder B has the greater volume.

Step-by-step explanation:

B= (3.14) 2.5 x 3h = 58.9 Cylinder B = 58.9

A= (3.14) 1.5 x 5h = 35.34 Cylinder A = 35.34

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Selena is standing on a rock cliff that is 52 feet high. She tosses a pebble upward over the edge, where it hits the top of a 12

Ronch [10]

Answer: At $t=\dfrac{3}{8}$ , the pebble hit the top of the boulder.

Step-by-step explanation:

Since we have given that

Distance at which Selena is standing on a rock cliff = 52 feet

Height of boulder above a rock cliff = 12 foot

So, the given quadratic equation would be

$p(t)=-16t^2+12t+52$

First we derivative it w.r.t t,

$p'(t)=-32t+12$

Now, we will find the critical value,

$-32t+12=0\\\\-32t=-12\\\\t=\dfrac{12}{32}=\dfrac{6}{16}=\dfrac{3}{8}$

Now, we will check whether it is maximum or not.

$p''(t)=-32$

So, we get that it is maximum.

Hence, at $t=\dfrac{3}{8}$ , the pebble hit the top of the boulder.

8 0

3 years ago

Read 2 more answers

Explain how to create an equation with infinitely many solutions.

MaRussiya [10]

Answer:

Hope This Helps You

The Formula Used Above Is Only Used For Making Infinite Solutions. For Unique and No Solutions, There Is Other Formula!

8 0

2 years ago

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A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

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4 0

2 years ago

It’s moving day and Lydia has packed her books into a large and small boxes. The large boxes hold 35 book and the small ones hol

Natali5045456 [20]

Answer:

4 large , 14 small

Step-by-step explanation:

35*x +20*(18-x)=420

35x +360-20x=420

35x-20x=420-360=60

15x= 60

x =4

4 large 14 small

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3 years ago

Y=2x+3 in ordered pairs

Iteru [2.4K]

Answer:

(0,3) , (1,5) , (2,7)

Step-by-step explanation:

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3 years ago