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3 years ago

Fogoh!! Plz HELPi suck at math haha

Mathematics

1 answer:

quester [9]3 years ago

6 0

Answer:

f(g(h(x))) = (sqrt(x) - 1)^4 + 4

Step-by-step explanation:

f(x) = x^4 + 4

g(x) = x - 1

h(x) = sqrt(x)

g(h(x)) = sqrt(x) - 1

f(g(h(x))) = (sqrt(x) - 1)^4 + 4

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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

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

6 0

2 years ago

miles bought 3.75 acres of land in 1993. in 1197, he bought enough land to double his property. then in 2001, miles was forced t

Musya8 [376]

Miles has 3.45 acres of land now. You're welcome.

4 0

3 years ago

The meeting had 30 people, which is five-sixths of the club. How many people are in the club?

Firlakuza [10]

30 x 5/6 = 25

The answer is 25 people

I hope this helped. Let me know if you have any other questions!

3 0

3 years ago

Read 2 more answers

6+n-3×6÷9 when n=2<br> this is a mathematical problem

Len [333]

Answer:

Step-by-step explanation:

I'm so sorry...i solved this on a calculator so i'm not so sure how to explain once again i'm sorry.

8 0

2 years ago

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Solve the following equation algebraically: Negative 16 = 16 x squared How many solutions does this equation have? Explain. a. N

Stella [2.4K]

Answer:

The correct answer is b.

Step-by-step explanation:

$16 {x}^{2} = - 16$

${x}^{2} = - 1$

No real solutions.

5 0

2 years ago