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3 years ago

Emily is making a flag with the dimensions shown. What is the minimum amount of material needed for the flag?

Mathematics

1 answer:

ipn [44]3 years ago

7 0

9514 1404 393

Answer:

B 80 square inches

Step-by-step explanation:

The area of a parallelogram has the same formula as the area of a rectangle:

A = bh . . . . . b is the base; h is the height

A = (10 in)(8 in)

A = 80 in²

The minimum amount of material needed is 80 square inches.

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For a regular 15-sided polygon, what is the degree of rotation?

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3 years ago

Jake monthly expenses include a $60 cable bill, a $200 car payment and $120 for car insurance. If he brings home $525 per month,

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Find the sum of the first 18 terms of the arithmetic sequence whose nth term is an = 3n - 1.

vodka [1.7K]

Answer:

495

Step-by-step explanation:

In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given.

a1=3(1)-1 a1=2

a18=3(18)-1 a18= 53

Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)

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3 years ago

A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direc

Minchanka [31]

Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

Step-by-step explanation:

Since we have given that

Speed at which woman walks due west = 3 mi/hr

Speed at which ship moving due north = 22 mi/hr

Now it forms "Pythagorus theorem":

So, it becomes,

$H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr$

And the direction of the woman relative to the surface of the water is given by

$\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ$

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

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3 years ago

Gabriela's monthly take-home pay is $2800, and her monthly rent is $700. If both her monthly take-home pay and her rent increase

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Gabriela spends about 30% of her take home pay on rent.

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