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3 years ago

Find the measure of each exterior angle of a regular 56-gon. Round to the nearest tenth.

Mathematics

1 answer:

Allisa [31]3 years ago

6 0

Answer: The measure of each exterior angle is 6.4°.

Step-by-step explanation:

Since we have given that

Number of sides = 56

We have to find the measure of each exterior angles:

As we know the formula :

$\text{ measure of each exterior angle}=\frac{360^\cir}{\text{Number of sides}}\\\\\text{ measure of each exterior angle}=\frac{360}{56}\\\\\text{ measure of each exterior angle}=6.4^\circ$

Hence, the measure of each exterior angle is 6.4°.

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

3 years ago

The sum of two numbers is 35.

LUCKY_DIMON [66]

Answer:

Larger number(x)=20

Step-by-step explanation:

They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.

The smallest number=35-x.

The larger number= x.

3 times the larger number=3x

4 times the smaller number=4(35-x)

Now, input it into an equation and solve:

3x=4(35-x) Distribute by multiplying 4 with 35 and x.

3x+4x=140-4x+4x Get 140 by itself by adding 4x.

7x/7=140/7 Divide.

x=20

Since x= the larger number, x=20.

8 0

3 years ago

Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 c

Marat540 [252]

Answer:After choosing the color she still has the choices of brands and style so:

Tahari has 4*3=12 options left.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through (0,3) and (-4,-1).

BlackZzzverrR [31]

Answer:

number 1

Step-by-step explanation:

if you'd look at Number One X is negative and if you look at the two number problems the x that is negative is negative for and then the one that is positive is the Y which is 3

3 0

3 years ago

Type 900 words in 15 minutes how many word per minute

rewona [7]

Answer:

60 words per minute

Step-by-step explanation:

"per" means "divided by" in this context. When you want "words per minute", it means you want the number of words divided by the corresponding number of minutes:

... (900 words)/(15 minutes) = 60 words/minute

4 0

3 years ago