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3 years ago

10. Find the area of the SHADED triangle.*

Mathematics

1 answer:

Gwar [14]3 years ago

7 0

Answer:

120 square in

Step-by-step explanation:

The formula for area of a triangle is:

base × height ÷ 2

Plugging your triangle in to the formula, we have:

12 × 20 ÷ 2 = 120

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1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

Part 1) A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

the answer part 1) is

The area of the circle is $1,215.18\ yd^{2}$

Part 2) What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

Find the area of the circle

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

Find the area of the sector

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

3 years ago

PLZZZ HELP GIVING AS MANY POINTTS

Daniel [21]

The answer is

10+x/6

8 0

3 years ago

Read 2 more answers

What is the perimeter of RSTUV?

MrMuchimi

Answer:

this should be 132 units i hope this helps! :)

Step-by-step explanation:

so these figures are similar

we are given 3 side measurements on one, and 3 on the other

we know that side BA is 10 units, and that SR which is the same side, is 14 units

we can conclude that they added 4 units to this side

so with the other side lengths that we are given we can figure out what the length of the perimeter of RSTUV is

10 + 4 = 14

15 + 4 = 19

28 - 4 = 24

42 - 4 = 38

25 + 4 = 29

42 TU

28 UV

19 VR

14 SR

29 ST

add all the side together to get 132 units

3 0

3 years ago

7 pounds for $10.43; 10 pounds for a dollars

olya-2409 [2.1K]

Answer:

7pounds=$10.43

10 pounds=? solution 10.43×10÷7=14.9 the equals sign means cross multiply.

8 0

3 years ago

In the given figure , if PQ ll SR and QP l PS , then the value of a and b respectively will be

lesya692 [45]

$b=90-37=53\\
a=180-90-53=37$

3 0

3 years ago