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3 years ago

Please help me with this math question.

Mathematics

1 answer:

alex41 [277]3 years ago

5 0

Answer:

275 m^3

Step-by-step explanation:

The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.

First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.

In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.

Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so

V=(1/3)(75/2)*22=275

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Step-by-step explanation:

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dusya [7]

Answer: x = 2

Step-by-step explanation:

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Step-by-step explanation:

$3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}$

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Answer: No Solution

Step-by-step explanation:

$4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}$

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Step-by-step explanation:

$9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}$

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3 years ago

The length of a box is 4 inches longer than its width, and the height is 2 inches shorter than the width. which equation can you

andreev551 [17]

L=w+4 this shows the length is 4 inches longer than width
h=w-2 this shows the height is 2 inches shorter than the width
volume=lwh
so 240=lwh=(w+4)(w)(w-2)
simplify and solve to find the width then you can use that to find the other values as well.

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3 years ago

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Elena-2011 [213]

Answer:

Please see the attached images for explanation:

Step-by-step explanation:

Please let me know if you have any questions :)