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2 years ago

Calculate the unit rate. A 5 gallon bucket of paint for $70.50

Mathematics

1 answer:

Sveta_85 [38]2 years ago

6 0

Okay to find the unit rate you must find how much one bucket of paint costs so you divide 70.50/5 and then you will get 14.1 have a nice day (:

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Find c.

Vinvika [58]

<h3>Answer: 0.5</h3>

========================================================

Explanation:

The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.

We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.

This leaves sin(B)/b

We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.

The angle opposite side c is 15 degrees, so C = 15.

The lowercase letters represent side lengths, while the uppercase letters are angles.

--------------------------

We have enough to apply the law of sines to solve for side c.

sin(B)/b = sin(C)/c

sin(105)/2 = sin(15)/c

c*sin(105) = 2*sin(15) ............. cross multiply

c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)

c = 0.53589838486224

c = 0.5

Side c is roughly 0.5 cm long.

Make sure your calculator is in degree mode.

6 0

3 years ago

Read 2 more answers

How can you use a 1/8 size measuring cup to measure 9/12 of corn syrup

algol13

(9/12) / (1/8) =
3/4 * 8 =
24/4 =
6 <=== u would use 6 one-eights size measuring cups to equal 9/12 of corn syrup

5 0

3 years ago

Please please please help. thank you.

djverab [1.8K]

Lets get started :)

The First question:
Diameter = 20 ft
Radius = $\frac{1}{2}$ of 20 (diameter) = 20 ft

Area formula of a circle is
A = $\pi$ r²
= $\pi$ (10)²
=100 $\pi$ ft²
≈ 314 ft²

The answer will be the second option

The Second question:
radius of circle = 12mm divided into 20 sectors area

A = $\pi$ r²
= $\pi$ (12)²
= 144 $\pi$ ft²

Divide into 20 equal sector areas = $\frac{144 \pi }{20} = 7.2 \pi$

≈ 22.6 mm²

Your answer will be the third option

The Third Question:

90°, sector area = 36 $\pi$ , Radius = ?

$\frac{angle}{360} = \frac{sector}{ \pi (r)^2}$
$\frac{90}{360} = \frac{36 \pi }{ \pi r^2}$
$\pi$ and $\pi$ cancels out

We can now cross multiply
360 × 36 = 90r²
12960 = 90r²

Divide by 90 on either side

$\frac{12960}{90} = \frac{90r^2}{90}$
144 = r²

Take squareroot
$\sqrt{144} = x$
x = 12 in

Your answer will be the third option

4 0

3 years ago

Jason has 23 dimes and quarters in his piggy bank. If the value of these coins is $4.55, how many dimes does he have? Set up and

Luden [163]

95 hope this helps!!!!!!!!

7 0

3 years ago

Round 5,600,679 to the nearest thousand

vampirchik [111]

The answer is 5,601,000

4 0

3 years ago

Calculate the unit rate. A 5 gallon bucket of paint for $70.50​

Calculate the unit rate. A 5 gallon bucket of paint for $70.50