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2 years ago

Find the area of the shaded sector of the circle. Leave in terms of pi.

Mathematics

1 answer:

qaws [65]2 years ago

3 0

Answer:

$a=10.88\pi$

Step-by-step explanation:

using the formula below, the central angle is 20° (bc 360-180-160=20)

radius is 14 (28/2=14)

$\frac{20}{360} =\frac{a}{\pi r^2} \\ \frac{1}{18} =\frac{a}{\pi 14^2}$

$\frac{1}{18} =\frac{a}{196\pi}$

$a=\frac{1*196\pi}{18} \\a=1*10.88\pi\\a=10.88\pi$

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Gina has completed her CAD drawing and wants to take a print out. What final step must she take before taking the print out?

viktelen [127]

Answer:

D. delete all the layers created and retain only the final layer

Step-by-step explanation:

CAD (Computer aided design) drawing is used in designing 2 and 3 dimensional drawings. It uses some computer software such as the C++ programming which supports custom objects. It was also one of the earliest forms of computer aided design programs that could be used on personal computers.

The final steps in the CAD drawing involves the deletion of all the extra layers created as a result of measurements, and the retention of only the final layer. This final layer would give us the real shape we need,

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3 years ago

Find the area of the figure. Round your answer to the nearest tenth

expeople1 [14]

Answer:

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Step-by-step explanation:

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3 years ago

The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a

zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

$Area = \frac{1}{2}\times Base \times Height$

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

Base = Height + 7

Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

$Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0$

This is a quadratic equation which can be solved using a quadratic equation as shown below:

$h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25$

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

Therefore, the length of base will be 25 + 7 = 32 cm.

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3 years ago

1. Order the numbers from least to greatest. 66 V21, 5.38 3

IrinaK [193]

Answer:

3, 5.38, 66, V21

Step-by-step explanation:

I assumed that V was the roman numeral V, which is equivalent to the number 5. I then multiplied 5 by 21 which is 105. If this is not the case and they simply wanted us to replace the v with a 5, then the answer would still be correct because 521 is greater than all the numbers in this set. Hope this helps.

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2 years ago

Harry works for a major sporting goods distributor. He earns a base salary of $30,000 per year and 5% commission on his sales. H

FrozenT [24]

Harry made $10,000 that the end of the year.

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3 years ago