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3 years ago

A cylindrical tank has a radius of 23 m and a height of 52 m. What is its lateral area? Use 3.14 for pie

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

7 0

I got 7514.69

IMPORTANT NOTE: I used π NOT 3.14

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Ava is buying paint from Amazon. Ava

irina [24]

Answer:

2.625 cups or 21 ounces

Step-by-step explanation:

Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.

She has 28 ounces of white paint. But, you have to convert ounces to cups.

1 cup = 8 ounces

28 ounces ÷ 8 ounces/cup = 3.5 cups

Now set up a ratio.

$\frac{0.75}{1} = \frac{x}{3.5}$

X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)

Cross multiply and divide.

$\frac{0.75}{1} = \frac{x}{3.5}$

x = 0.75 × 3.5

x = 2.625 cups

To convert to ounces, multiply by 8.

2.625 cups × 8 ounces = 21 ounces

Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.

Hope that helps.

5 0

3 years ago

Find the highest common factor (HCF) of 84 and 120

mariarad [96]

Answer:

GCF-12

Step-by-step explanation:

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

GCF = 12

6 0

3 years ago

Read 2 more answers

How to do this step by step?

serg [7]

The answer is 27.6
angle version of the law of cosines:

cos(C) = (a^2 + b^2 − c^2)/2ab

cos(A) = (b^2 + c^2 − a^2)/2bc

cos(B) = (c^2 + a^2 − b^2)/2ca

cos A = (b^2 + c^2 − a^2) / 2bc
cos A = (10^2+20^2-14^2)/200
cos A = (100+400-196)/200
cos A = (500-196)/200
cos A = (304)/200
cos A = (1.52)
A = cos^-1(1.52) = 40.54 degrees

cos B = (c^2+a^2-b^2)/2ca
cos B = (20^2+14^2-10^2)/280
cos B = (400+196-100)/280
cos B = (496)/280
cos B ≈ 1.77
B = cos^-1(1.77) = 27.66 degrees

we have two methods left to find the measure of angle C:
method 1 :
cos C = (a^2+b^2-c^2)/2ab
cos C = (14^2+10^2-20^2)/140
cos C = (196+100-400)/140
cos C = (-104)/140
cos C ≈ -0.74

C = cos^-1(-0.74) = 111.8 degrees

method 2: 40.54+27.66 = 68.2
180-68.2=111.8

The measure of angle A: 40.54
The measure of angle B: 27.66
The measure of angle C: 111.8

6 0

4 years ago

During halftime of a soccer game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 6 feet

AnnZ [28]

Answer:

During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 feet above the field.

8 0

3 years ago

Which of the sets of ordered pairs represents a function?

drek231 [11]

The answer is both A and B

8 0

3 years ago

Read 2 more answers