MATHEMATICS HIGH SCHOOL

Write log8 3 as a logarithm of base 5.1) (log3)5/(log8)5
2) (log5)3/(log5)8
3) (log8)5/(log3)5
4) (log5)8/(log5)3 ...?

Answers

Answer 1
Answer: The answer is 2) (log5)3/(log5)8

We will use the change-of-base formula: log_a(x)= (log_b(x))/(log_b(a))

So, if we want to write log8 3 as a logarithm of base 5,  in these example a = 8, x = 3, b = 5:
log_8(3)= (log_5(3))/(log_5(8))

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Does a central angle and its intercepted arc have the same measure?

Answers

Yes my dear. And here is the explanation: The measure of each inscribed angle is exactly half the measure of its intercepted arc. As they have the same intercepted arc,then we can say that they have the same measure.

G=H(q+Q)for Q

Solve for Q

I dont understand how to do this.

Answers

G=H(q+Q)\n\nH(q+Q)=G\n\nHq+HQ=G\ \ \ \ \ |both\ sides\ -Hq\n\nHQ=G-Hq\ \ \ \ |both\ sides\ :H\n\nQ=(G-Hq)/(H)

or\n\nH(q+Q)=G\ \ \ \ \ |both\ sides\ :H\n\nq+Q=(G)/(H)\ \ \ \ \ |both\ sides\ -q\n\nQ=(G)/(H)-q
G=H(q+Q)\n q+Q=(G)/(H)\n Q=(G)/(H)-q

What value of r makes the equation true? r + (–0.16) = 0.37
a. –0.53
b. –0.21
c. 0.21
d. 0.53

Answers

r+(-0.16)=0.37
r-0.16=0.37
r=0.37+0.16
r=0.53
The answer is: d. 0.53
D is the answer to your question.

What is the formula for V=lwh for h

Answers

remember, you can do anythingn to an equaiton as long as you do it to both sides (except divide by zero)

solve for h
V=lwh
divide both sides by lw
V/(lw)=h
tada

A theater has 675 seats. there are three times as many seats in a row as their are rows

Answers

Answer:

Step-by-step explanation:

let the number of rows=x

seats in each row=3x

so number of seats=x(3x)=3x²

3x²=675

x²=225

x=15

number of rows=15

and seats in each row=15×3=45

Answer: 15 rows with 45 seats each

Step-by-step explanation:

Let x = the number of rows, then 3x= the number of seats in a row.

                                   seats × row= total

                                            3x × x=675

                                                3x²=675

                                                  x²=225

                                                   x=15

PLEASE HELP ME ASAP!

Answers

Angle ABC = half arc (ac)
2 * (4x - 3.5) = (4x + 17)
8x -7.0 = 4x + 17
4x = 24
x = 6
Angle ABC (4x -3.5) = 24 - 3.5 = 20.5

Arc AC = (4x + 17) = 24 + 17
Arc AC = 41
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