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1 year ago

This is lesson 9.4 - special right triangles. Please help me

Mathematics

1 answer:

Gennadij [26K]1 year ago

5 0

Triangle ABC is an equilateral triangle. it is equiangular. Therefore, the value of x is 60 degrees.

<h3>What is an equilateral triangle?</h3>

An equilateral triangle is a triangle that has all it sides and angles equal to each other.

An equilateral triangle is equiangular.

Therefore, the angles of an equilateral triangles are equal to 60 degree each.

Recall the sum of an angle of a triangle is 180 degrees.

Therefore, the value of angle x is 60 degrees.

learn more on equilateral triangle here: brainly.com/question/3461022

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The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth. 25 ft 7 ft

Mashutka [201]

120.27 or rounded to the nearest tenth is 120.3

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2 years ago

Let f(x)=−12(x+2)2+5 . What is the average rate of change for the quadratic function from x=−3 to x = 1?

aev [14]

Answer:

Average rate of change = -6

Step-by-step explanation:

The average rate of change over the interval (a,b) is given by;

[ f(b) - f(a)] / (b-a)........................where interval is (a,b)

(a,b) interval =(-3,1)

Where;

f(x)= -12 (x+2)² +5

$f(a)=f(-3)=-12(-3+2)^2+5\\f(a)=f(-3)=-12(-1)^2+5\\f(a)=f(-3)=-12(1)+5\\=-12+5=-7\\\\\\f(b)=f(1)=-12(1+2)+5\\f(b)=f(1)=-12(3)+5\\=-36+5=-31\\\\f(b)-f(a)=-31--7=-24\\\\b-a=1--3=4\\\\f(b)-f(a)/b-a=\frac{-24}{4} =-6$

5 0

3 years ago

Solve each equation.Show your work.<br>Can someone help me please??

Inga [223]

Answer:

1/2a = -5

a = (-5 x 2) : 1

a = -10

8 - b = 9,5

b = 8 - 9,5

b = -1,25

0,1 = -10c

c = 0,1 : -10

c = -0,01

I hope it's helpful.

3 0

3 years ago

The management of an electronics firm has determined that the profit the company earns is a function of thenumber of employees i

ruslelena [56]

we have the function

$P(x)=\ln\left|4x+1\right|+3x-x^2$

For x=2

substitute

$\begin{gathered} P(x)=\operatorname{\ln}\lvert4(2)+1\rvert+3(2)-(2)^2 \\ P(x)=\operatorname{\ln}\lvert9\rvert+2 \\ P(x)=4.20\text{ millions of dollars} \end{gathered}$

therefore

<h2>the answer is 4.20 million dollars</h2>

6 0

9 months ago

Factor 8x^3y + 38x^2y - 10xy

Sophie [7]

Answer:

2xy(x+5)(4x−1)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 2xy

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)

3 Simplify each term in parentheses.

2xy(4x^2 +19x−5)

4 Split the second term in 4x^2+19x-5 into two terms.

2xy(4x^2 +20x−x−5)

5 Factor out common terms in the first two terms, then in the last two terms.

2xy(4x(x+5)−(x+5))

6 Factor out the common term x+5.

2xy(x+5)(4x−1)

7 0

2 years ago