A factory buys the boxes it needs in the form of flat nets. What advantages might the factory have in doing this?

Answers

Answer 1

Answer: to store more containers for higher stocks and space

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Dayton is due north of Richmond, and Easton is 16 mi due east of Richmond. Dayton is 32 mi from Easton.How far apart are Dayton and Richmond? Round to the nearest tenth of a mile.

mi

Answers

Given:
Dayton
--32 mi--
Richmond -- 16 mi-- Easton

I can't draw a line but the figure drawn based on the given description is a RIGHT TRIANGLE.

Richmond to Easton is the short leg.
Dayton to Easton is the hypotenuse.
Richmond to Dayton is the long leg.

We are looking for the measure of the long leg. We will use the Pythagorean theorem.

a² + b² = c²
a² + 16² = 32²
a² + 256 = 1,024
a² = 1,025 - 256
a² = 768 mi²
a = √768 mi²
a = 27.71 mi This is the distance of Dayton from Richmond

D
|
|
|
|
R ---------E

RE = 16mi
DE = 32 mi

DR^2 = DE^2 - RE^2 = (32mi)^2 - (16mi)^2 = 768 mi^2

DR = √(768 mi^2) = 27.7 mi

Is a exponent determined by the amount of zeros in the number?

Answers

yup, the amount of 0's is the exponent. for example 1000= 10^3, hope this helped :)

A central angle of a sector equals 5 radians and the radius equals 20 inches. What is the measure of the arc length formed by the sector?

Answers

Answer:

100

Step-by-step explanation:

8 1/4 in simplest form

Answers

Hi there!

Unfortunately, it looks like what you've posted is already simplified down to its simplest form, and so it cannot go any lower than what it is.

$8 (1)/(4)$

⇒ The decimal form of this answer is $8.25$

Hope this helps!

Message me if you need anything else! I'd be happy to answer more questions! :D

Hey there

The fraction 8 1/4 can not be simplified any farther. It does not have a common number you can simplify it with.

The decimal form of this answer is 8.25

Do the ratios 20:8 and 7:3 form a proportion?