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1 year ago

Jake drew a kite the sketch below of a kite that he wants to make.

Mathematics

1 answer:

Kipish [7]1 year ago

3 0

Answer:

1/2 (40×60)

Step-by-step explanation:

area of kite = 1/2 × diagonal 1 × diagonal 2

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Adam buys a bigger turkey than he needs.

Lapatulllka [165]

He should start cooking at 15:00

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2 years ago

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A conical pile of road salt has a diameter of 112 feet and a slant height of 65 feet. After a storm, the linear dimensions of th

QveST [7]

we know that

the volume of a cone is equal to

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

in this problem

the radius is equal to

$r= \frac{112}{2}= 56ft$

1) Find the height of the cone before the storm

Applying the Pythagorean Theorem find the height

$h^{2} = l^{2}-r^{2}$

$l=65 ft$

$h^{2} = 65^{2}-56^{2}$

$h^{2} = 1,089$

$h=33 ft$

2) Find the volume before the storm

$V= \frac{1}{3}*\pi* 56^{2}*33$

$V=34,496\pi\ ft^{3}$

3) Find the volume after the storm

After a storm, the linear dimensions of the pile are 1/3 of the original dimensions

r=(56/3) ft

h=(33/3)=11 ft

$V= \frac{1}{3}*\pi* (56/3)^{2}*11$

$V= 1,277.63\pi\ ft^{3}$

4) Find how this change affect the volume of the pile

Divide the volume after the storm by the volume before the storm

$\frac{1,277.63 \pi }{34,496 \pi } = \frac{1}{27}$

therefore

the answer part a) is

The volume of the pile after the storm is $\frac{1}{27}$ times the original volume

Part b) Estimate the number of lane miles that were covered with salt

5) Find the amount of salt that was used during the storm

$=34,496 \pi - 1,277.63 \pi \\= 33.218.37 \pi \\= 104,358.59\ ft^{3}$

6) Find the pounds of road salt used

$104,358.59*80=8,348,687.2\ pounds$

7) Find the number of lane miles that were covered with salt

$8,348,687.2/350=23,853.39 \ lane\ miles$

therefore

the answer part b) is

the number of lane miles that were covered with salt is $23,853.39 \ lane\ miles$

Part c) How many lane miles can be covered with the remaining salt? Round your answer to the nearest lane mile

the remaining salt is equal to $1,277.63\pi\ ft^{3}$

$1,277.63\pi\ ft^{3}=4,013.79\ ft^{3}$

8) Find the pounds of road salt

$4,013.79*80=321,103.20\ pounds$

9) Find the number of lane miles

$321,103.20/350=917.44 \ lane\ miles$

therefore

the answer part c) is

the number of lane miles is $917 \ lane\ miles$

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2 years ago

lee is making chocolate chip cookies and the recipe calls for 3/4 cup of chocolate chips. if she wants to make 2/3 of the recipe

Marysya12 [62]

First, (again lol) you multiply the amount of chocolate chips the recipe calls for by the amount Lee wants to make.

so its 3/4 * 2/3

=

6/12

1/2

Lee will need a fraction of 1/2 of a chip of chocolate chips for the recipe

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2 years ago

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Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are draw

astraxan [27]

Answer:

m∠ABC = 125° and AB ≅ DB, ΔACD is isosceles with base AD, CD = 52 cm

Step-by-step explanation:

i just took the quiz

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2 years ago

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You stand outside of a swimming pool at point C. Calculate the radius of the swimming pool.

Elenna [48]

Answer:

bruh whats the answer?

Step-by-step explanation:

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2 years ago