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Tomtit [17]
3 years ago
13

ANSWER ASAP PLEASE! (PICTURE INCLUDED)

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:

12

Step-by-step explanation:

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each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria
mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

A_t=\frac{1}{2}(b^2)sin(60^o)

where b is the length side of the equilateral triangle

we have

b=9\ units

A_t=\frac{1}{2}(81)sin(60^o)

A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}

A_t=81\frac{\sqrt{3}}{4}\ units^2

step 2

Find the area of circle

The area of the circle is equal to

A_c=\pi r^{2}

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

r=b\frac{\sqrt{3}}{6}

where b is the length side of the equilateral triangle

we have

b=9\ units

substitute

r=(9)\frac{\sqrt{3}}{6}

r=3\frac{\sqrt{3}}{2}\ units

Find the area

A_c=\pi (3\frac{\sqrt{3}}{2})^{2}

A_c=\frac{27}{4} \pi\ units^2

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

so

A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2

Simplify

A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2

6 0
3 years ago
Megan got paid $2,156 for babysitting this year. If she makes $11 an hour, how many hours did she babysit this year​
Elenna [48]

Answer:

she worked 196 hours

Step-by-step explanation:

just divide 2156 by 11 :p i hope im right lol.

4 0
3 years ago
True or F alse : 5x + 2y = 0 is the equation of a line whose slope is undefined.
Wittaler [7]

Answer:

False

Step-by-step explanation:

y = -(5/2)x

The slope is -(5/2)

6 0
3 years ago
Read 2 more answers
Is 100,60,50 a right triangle
zzz [600]

Answer:

I dont think so because a right triangle should have a 90 degree

7 0
3 years ago
Figure 1 is congruent to Figure 2.
Fofino [41]

Answer:

E.) 5 cm

Step-by-step explanation:

The shapes are congruent and are the same size,  side <u>TU </u> is the same as <u>NP</u>. If <u>TU </u>is 5, then <u>NP </u>is 5.

4 0
3 years ago
Read 2 more answers
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