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KIM [24]
3 years ago
8

A rectangular prism is 3 inches long, 4 inches wide and 8 inches tall. What is the length of its

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0
The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.
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Whats the density of an object with the length of 5.0 cm a height of 3.0 and width of 15.0 cm and a mass of 24 grams
Sphinxa [80]

Answer:

The density of the object is 0.1067 grams per cubic centimeter. (Rounded off to 4th decimal)

Step-by-step explanation:

Density = [Mass/Volume]

Here we have been given the dimensions of the object.

Volume = Height * Width * Length

Volume = 3.0cm*15.0cm*5.0cm

             =225cm^{3}

Now we can substitute the Mass and the Volume to the density equation.

Density = [Mass/Volume]

             =\frac{24grams}{225cm^{3} }

             =0.1067 grams per cubic centimeter. (Rounded off to 4th decimal)

4 0
3 years ago
Someone plz help me
topjm [15]

x = 375 and y = 6300. Option C.

Step-by-step explanation:

From the given data we need to find the value of x and y.

First, we will find out the ratio of area and the force.

\frac{Area}{Force}  = \frac{125}{1875} =\frac{150}{2250} =\frac{175}{2625} = \frac{1}{15}

So,

\frac{x}{5625} = \frac{1}{15}

or, x = \frac{5625}{15} = 375

Again,

\frac{420}{y} = \frac{1}{15}

or, y = 420×15 = 6300

Hence,

x = 375 and y = 6300.

7 0
3 years ago
The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month.
Ede4ka [16]
800 * 100 = 80000
810 * 99 = 80190
900 * 90 = 81000
1000 * 80 = 80000
(800 + 10n) (100-1n)
=(800 +10(11)) (100 - 11)<span> (910)(89) = 80990</span>
6 0
2 years ago
Which of the following best describes the intersection of two planes? (Points : 5)
charle [14.2K]
<span>In geometry, planes are two-dimensional spaces which extend infinitely. If they do not intersect at all, they are considered parallel. However, if they do intersect, that intersection come in the form of an infinitely-extending collection of 1-dimensional points, which collectively form a line. As such, the answer is "line".</span>
4 0
2 years ago
What is 5(n-1)=2(n-4)-6
Shalnov [3]

Answer:

Step-by-step explanation

6n - 6 = 2 (n+1)

Simplify 2 (n+1)

6n - 6= 2n +2

Move all terms related to n to the left side of the equation

4n -6 =2

Move all terms not related to n to the right side of the equation

4n =8

Divide each term by 4 then simplify

n=2  

5 0
2 years ago
Read 2 more answers
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