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3 years ago

What is the measurement of angle Q?

Mathematics

2 answers:

fredd [130]3 years ago

6 0

Answer:

20°

Step-by-step explanation:

The sum of the interior angles of any triangle will always be 180°.

180 - (40+120) = 20°, so the measure of angle Q is 20°.

The triangle is an acute scalene triangle (not part of what you asked, but it was part of the question so I figured I'd include just in case).

Semenov [28]3 years ago

3 0

Answer:

<Q : 20 degrees

Type of triangle: Scalene

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What is the shaded portion of the circle

blagie [28]

Answer:

$(5\pi-11.6)\ ft^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the sector minus the area of the triangle

step 1

Find the area of the circle

the area of the circle is equal to

$A=\pi r^{2}$

we have

$r=5\ ft$

substitute

$A=\pi (5)^{2}$

$A=25\pi\ ft^{2}$

step 2

Find the area of the sector

we know that

The area of the circle subtends a central angle of 360 degrees

by proportion find out the area of a sector by a central angle of 72 degrees

$\frac{25\pi}{360}=\frac{x}{72}\\ \\x=72*25\pi /360\\ \\x=5\pi\ ft^{2}$

step 3

Find the area of triangle

The area of the triangle is equal to

$A=\frac{1}{2}(2.9+2.9)(4)= 11.6\ ft^{2}$

step 4

Find the area of the shaded region

Subtract the area of the triangle from the area of the sector

$(5\pi-11.6)\ ft^{2}$

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2 years ago

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Sholpan [36]

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2 years ago

Explain the steps you would take to complete this conversion problem

OLEGan [10]

Answer:

20909.09 grams

Step-by-step explanation:

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