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3 years ago

ANSWER ASAP PLEASE! (PICTURE INCLUDED)

Mathematics

1 answer:

stealth61 [152]3 years ago

6 0

Answer:

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

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

Simplify

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

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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.

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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)

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Is 100,60,50 a right triangle

zzz [600]

Answer:

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

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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 TU is the same as NP. If TU is 5, then NP is 5.

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