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photoshop1234 [79]
3 years ago
13

Raymond used 36 cubes to build the first layer of a rectangular prism. The edge length of each cube was 1 inch. The finished pri

sm had a total of 8 layers. What is the volume of Raymond's prism in cubic inches?
Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Answer:

Volume = 288in^3

Step-by-step explanation:

Given

Base\ Cubes = 36

Layers = 8

Required

The volume of the prism

The number of base cubes represents the base area and the number of layers represents the height of the prism.

So, the volume is calculated as:

Volume = Base\ Cubes * Layers i.e Base Area * Heights

Volume = 36 * 8

Volume = 36in^2 * 8in

Volume = 288in^3

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A game show has a bonus round where a contestant gets to spin a balanced wheel that is divided into eighths. The contestants win
kondaur [170]
The answer is <span>A. 142.

After a profound research, I found out that the wheel numbers are:
25, 80, 60, 20, 100, 500, 150, 200.

To calculate h</span><span>ow many cans of turtle wax can the game show expect to give out per player in the long run, we need to calculate the mean of the numbers on the wheel:
</span>x= \frac{25+80+60+20+100+500+150+200}{8} = \frac{1,135}{8}= 141.875
<span>
</span>⇒ <span>x </span>≈ 142

5 0
3 years ago
Sue has 18 sweets.
Brilliant_brown [7]

Answer:

Sue 13-x

Tony (18+x)/2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please some one help me
sertanlavr [38]

Hello There!

To find the quotient of \frac{3}{4} ÷ \frac{1}{8},

we need to multiply by the reciprocal meaning that the fraction

\frac{3}{4} stays the same but we flip the numerator and

denominator for our second fraction so it will end up being

\frac{8}{1} which is the same thing as 8 so the second choice

is your answer.

3 0
3 years ago
Find the value of x in this figure
Airida [17]
Answer: 13

Explanation:
Use Pythagorean theorem:
=> a^2 + b^2 = c^2
=> 5^2 + 12^2 = c^2
=> 25 + 144 = c^2
=> 169 = c^2

Take the square root of both sides:
=> sqrt(169) = sqrt (c^2)
=> 13 = c
8 0
3 years ago
Please help this is due today<br><br> Show work please
Goryan [66]

Answer: ↓↓↓Btw sorry its not in order

Step-by-step explanation:

m∠62 and ∠g are vertical angles so they're congruent.

∠g = 62°

∠f and m∠62 are linear pairs so they're supplementary

∠f + 62 = 180

∠f = 118°

∠e is a right angle and is supplementary to a 90° angle

∠e = 90°

Adding ∠e, m∠28° and the missing angle should sum up to 180° since its a triangle. x = missing angle

x + ∠e + m∠28 = 180°

x + 90 + 28 = 180

x + 118 = 180

x = 62°

∠h ≅ x

∠h ≅ 62

∠h = 62°

∠b and m∠28 are vertical angles so they're congruent.

∠b ≅ m∠28

∠b = 28°

∠b and ∠a are linear pairs so they are supplementary.

∠a + ∠b = 180

∠a + 28 = 180

∠a = 152°

∠c and ∠a are corresponding angles so they're congruent.

∠c ≅ ∠a

∠c ≅ 152

∠c = 152°

∠c and ∠j are vertical angles so they're congruent.

∠j ≅ ∠c

∠j ≅ 152

∠j = 152°

The corresponding angle of c is 152° as well. Let's call it y. Y corresponds to the angle with a bisector. Call that whole angle z.

z ≅ y

z ≅ 152

z = 152°

Z has a bisector meaning the two angles that formed because of the bisector are congruent.

∠d and the other angle add up to 152°. They're equal.

∠d = 152 ÷ 2

∠d = 76°

Hope I helped!

4 0
3 years ago
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