Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.

Mathematics

1 answer:

Irina18 [472]3 years ago

8 0

A prism is rectangular shaped,. a pyramid is triangular shaped.

The ratio would be 1 to 3

The formula for the pyramid is V = 1/3Bh

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The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.

s2008m [1.1K]

Answer:

Step-by-step explanation:

$a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27$

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3 years ago

Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the num

Zepler [3.9K]

H(x)=5x+15+4x+20

if x=4, together it would be 5(4)+15+4(4)+20
h(x)=20+15+16+20=71
Divided by 2, they'd each get 35.5

If Frank worked alone, he'd get 5(4)+15= 35
He'd make more working together.

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3 years ago

If 3x is one factor of 3x^2-9x, what is the other factor?

Rudik [331]

The answer is: " (x² − 3) " .
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Explanation:
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Given: 3x² <span>− 9x ; factor out a "3x" ;
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</span>→ 3x (x² − 3) ;
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The answer is: " (x² − 3) " .
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2 years ago

Answer A and B

ArbitrLikvidat [17]

Answer:

A: 630 was the highest

B: camped at 380

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1 year ago

Read 2 more answers

What is the equation of the line perpendicular to the line y=3x+2 and passing through the point (3, -4)

aleksklad [387]

Answer:

Step-by-step explanation:

$(3, -4)=(x,y)\\y=3x+2\\\\m_1 =3\\In\: perpendicular\: line ;\\\\m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{3} \\m_2 = -1/3\\\\Substitute \:new\:values\:into\: ;y=mx+b\\\\-4 = -\frac{1}{3} (3) + b\\-4 = -1 +b\\-4+1 =b\\-3 =b\\Substitute \:new\:values\:into\: ;y=mx+b\\y =-\frac{1}{3}x -3$

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3 years ago