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8090 [49]
3 years ago
5

What is the volume of the rectangular pyramid?

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

<h2>360 ft³</h2>

Step-by-step explanation:

The formula of a volume of a pyramid:

V=\dfrac{1}{3}BH

<em>B</em><em> - area of a base</em>

<em>H</em><em> - height</em>

<em />

In the base we have the rectangle 12ft × 6ft.

Therefore

B=(12)(6)=72\ ft^2

<em>H = 15 ft</em>

Substitute:

V=\dfrac{1}{3}(72)(15)=\dfrac{(72)(15\!\!\!\!\!\diagup^5)}{3\!\!\!\!\diagup_1}=(72)(5)=360\ ft^3

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The measure of one angle is 13 less than five times The measure of another angle. The sum of the measure of the two angles is 14
kodGreya [7K]

\huge\boxed{a=\frac{229}{2};\ \ b=\frac{51}{2}}

<em>In decimal form, a = 114.5; b = 25.5</em>

We will write this as a system of equations, where a and b are the two angles.

\left \{ {{a=5b-13} \atop {a+b=140}} \right

We will use substitution to solve this system. We know what a equals, so we plug that into the second equation.

5b-13+b=140

Combine the like terms.

6b-13=140

Add 13 on both sides.

6b=153

Divide both sides by 6.

b=\frac{153}{6}=\boxed{\frac{51}{2}}

Now just subtract that from 140.

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3 years ago
Pleaseeee helpppp!!!!​
kondor19780726 [428]

The right answer is Option A:x=\frac{rs-t}{2}

Step-by-step explanation:

Given expression is;

s=\frac{2x+t}{r}

We will solve this expression for x, therefore,

Multiplying both sides by r

r*s=\frac{2x+t}{r}*r\\rs=2x+t

Subtracting t from both sides

rs-t=2x+t-t\\rs-t=2x\\2x=rs-t

Dividing both sides by 2

\frac{2x}{2}=\frac{rs-t}{2}\\x=\frac{rs-t}{2}

The right answer is Option A:x=\frac{rs-t}{2}

Keywords: subtraction, division

Learn more about subtraction at:

  • brainly.com/question/1238144
  • brainly.com/question/12497249

#LearnwithBrainly

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Answer:

27

Step-by-step explanation:

104-77=27

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71% of Americans wear glasses.
Alex_Xolod [135]

Answer:

29%

Step-by-step explanation:

100%-71%=29%

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The length of the latter would be 23 feet because we know one angle is 75 and the angle against the wall is 90 and the base is 6 feet answer is 23 feet
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