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Eduardwww [97]
2 years ago
8

Need help with this pls

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
4 0

The volume of the square base pyramid is 588 ft³

The Volume of the rectangular prism is 120 ft³

The Volume of a rectangular pyramid is 360 ft³

<h3>What is volume of a shape?</h3>

Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

Volume of a square base pyramid = 1 / 3 × B × h

where

B = base area

Therefore,

Volume of a square base pyramid = 1 / 3 × 7² × 12

Volume of a square base pyramid = 1764 / 3 = 588 ft³

Volume of a rectangular prism = lwh

Volume of a rectangular prism =  6 × 5 × 4 = 120 ft³

Volume of a rectangular pyramid = 1 / 3 lwh

Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³

learn more on volume here: brainly.com/question/1578538

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Write the explicit formula which can be used to represent the sequence 5,9,13,17
Oliga [24]

Answer:

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Step-by-step explanation:

Term 1: 4(1)+1 = 5

Term 2: 4(2)+1 = 9

Term 3: 4(3)+1 = 13

Term 4: 4(4)+1 = 17

4 0
3 years ago
Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,
alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}

sin(B) = \frac{sin(82)*24}{29}

sin(B) = 0.8195

B = sin^{-1}(0.8195)

B = 55.0

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

a = \frac{25*sin(43)}{sin(53)}

a = 20 (approximated)

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3 years ago
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In this case the line crosses y-axis at (0,3)

Hope this helps :)
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3 years ago
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3 years ago
X/10 = 4/5<br>how do you solve <br>algebra<br>help plz ​
Viktor [21]

Answer:

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x=8

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3 years ago
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