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3 years ago

The degree measure of each exterior angle of a regular octagon is represented by the expression 7x-4. Solve for X

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

8 0

Answer:yes

Step-by-step explanation:

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I need help asap please

Gnesinka [82]

The answer is B!
good luck with the rest of your hw!

6 0

3 years ago

Read 2 more answers

Lowering powers write in terms of first power of cosine. Cos^6

yaroslaw [1]

The main identity you need is the double angle one for cosine:

$\cos^2x=\dfrac{1+\cos2x}2$

We get

$\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8$

Expand the numerator to apply the identity again:

$\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8$

$\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8$

$\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8$

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x$

Finally, make use of the product identity for cosine:

$\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2$

so that ultimately,

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x$

$\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x$

4 0

3 years ago

Uhm, yeah im not very good at math, i need to graduate man, someone help lol

mr_godi [17]

Answer:

d=√73=8.544

Step-by-step explanation:

Find distance (d) between market (0,8) , court house(6,5) and library(6,-1)

d between two pint is :

d=√(x2-x1)²-(y2-y1)²

d between market and court house:

d=√(6-0)²+(5-8)²

d=√36+9=√45 = 6.7082 ≅6.71 rounded to the nearest hundredths

d between courthouse and the library:

d=√(6-6)²+(-1-5)²

d=√36=6

the distance that Runner A ran=6.71+6=12.71

the distance from the library to the school:

d=√(6-(-2))²+(-1-(-4))²

d=√8²+3²

d=√64+9

d=√73=8.544 ( rounded to the nearest hundredth)

Runner B went 8.544 further than Runner A before stopping at school ( which is the distance between the library and the school.

5 0

3 years ago

How are <1 and <2 related

Stella [2.4K]

Answer:

They are adjacent

Step-by-step explanation:

3 0

3 years ago

Ethan borrowed $2,190 for a new dirt bike. He will pay the money back in 3 years with a simple interest rate of 2.5%. How much i

Taya2010 [7]

Answer:

<h2>The interest ethan will pay is $164.25</h2>

Step-by-step explanation:

To calculate the interest paid by ethan on the borrowed bike using the formula.

Simple Interest = Principal * rate * time/100

Principal = $2,190, rate = 2.5%, time = 3years

On substitution

SI = $\frac{2190*3*2.5}{100}$

$SI = \frac{16,425}{100}\\ SI= $164.25$

The interest ethan will pay is $164.25

3 0

3 years ago