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alex41 [277]
2 years ago
9

What is the measure of angle Q to the nearest degree?

Mathematics
1 answer:
Alla [95]2 years ago
4 0

Answer:

D

Step-by-step explanation:

It's 110. Since the one leg is not on zero it's not a full 160 instead you have to subtract 50 where the leg is.

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Can you help me solve this?
antiseptic1488 [7]

The required composite value f(g(-8) is 28

A composite function is a function inside another function. Given the following functions

f(x) = x² - 3x - 12

g(x) = -x - 12

Required composite function is f(g(-8))

First we need to get f(g(x))

f(g(x)) = f(-x-12)

f(-x-12) =  (-x-12)² - 3x - 12

Expand

f(-x-12) = x² +24x + 144 - 3x - 12

f(-x-12) = x² +21x + 132

f(g(x)) = x² +21x + 132

Substitute x = -8 into the result

f(g(-8)) = (-8)² +21(-8) + 132

f(g(-8)) = 64 - 168 + 132

f(g(-8)) = 28

Hence the required composite value f(g(-8) is 28

Learn more here : brainly.com/question/3256461

8 0
2 years ago
Write as a single logarithm 3-1/2(log6+log3-3log2)
faust18 [17]
3-\dfrac{1}{2}\left(\log6+\log3-3\log2\right)=\\
\log10^3-\dfrac{1}{2}\left(\log\left(6\cdot3\right)-\log2^3\right)=\\
\log1000-\dfrac{1}{2}\left(\log18-\log8\right)=\\
\log1000-\dfrac{1}{2}\left(\log\dfrac{18}{8}\right)=\\
\log1000-\dfrac{1}{2}\left(\log\dfrac{9}{4}\right)=\\
\log1000-\log\left(\dfrac{9}{4}\right)^{\dfrac{1}{2}}=\\
\log1000-\log\sqrt{\dfrac{9}{4}}=\\
\log1000-\log\dfrac{3}{2}=\\
\log\dfrac{1000}{\frac{3}{2}}=\\
\log\left(1000\cdot\dfrac{2}{3}\right)=\\
\log\dfrac{2000}{3}
6 0
2 years ago
Read 2 more answers
Determine the number of terms n in each geometric series.<br> 13) a1 = 0.75, r = 4, Sn =1023.75
Gnom [1K]

Answer:

Number of terms: n=6

Step-by-step explanation:

We are given:

a₁ = 0.75

r = 4

Sₙ = 1023.75

We need to find number of terms i.e n

The formula used will be:S_n=\frac{a(r^n-1)}{r-1}

Putting values and fining n

S_n=\frac{a(r^n-1)}{r-1}\\1023.75=\frac{0.75(4^n-1)}{4-1}\\ 1023.75=\frac{0.75(4^n-1)}{3}\\3\times 1023.75=0.75(4^n-1)\\3071.25=0.75(4^n-1)\\4^n-1=\frac{3071.25}{0.75}\\4^n-1=4095\\4^n=4095+1\\4^n=4096

We know that 4^6= 4096

4^n=4^6

Using Exponent rule: a^n=a^b => n=b

n=6

So, Number of terms: n=6

5 0
3 years ago
Select the correct answer.<br> Which statement describes the solutions of this equation? x/x+2+1/x=1
hram777 [196]
Your answer is gonna be b I just know
4 0
2 years ago
The answer to this question ? please help me
torisob [31]
I'm pretty sure the answer would be 90
8 0
2 years ago
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