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andreyandreev [35.5K]
3 years ago
6

What is the volume of the rectangular pyramid shown belown?

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

9514 1404 393

Answer:

  168 cubic inches

Step-by-step explanation:

The formula for the volume of a pyramid is ...

  V = (1/3)Bh

where B is the area of the base, and h is the height.

The base is a rectangle, whose are is given by the formula ...

  A = LW

  A = (8 in)(7 in) = 56 in²

Then the pyramid volume is ...

  V = (1/3)(56 in²)(9 in) = 168 in³

The volume of the pyramid is 168 cubic inches.

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Solve the equation x/4 - 7 = y got x
Lina20 [59]

Answer:

x = y · 11

Step-by-step explanation:

Since x is divided by 4, we have to multiply each side by 4.

x-7=y · 4  To get x by itself, add 7 to each side to get x = y · 11

4 0
3 years ago
Factor of x^3-x^2-24x-36
Basile [38]
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
5 0
3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 4+10=
almond37 [142]

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

4 0
2 years ago
Help please asap ??!!?
vampirchik [111]

Answer:

Religious Officials

This could be wrong, but I hope it helps!

4 0
2 years ago
In a four year period, about 80,000 acres of coastal wetlands in the United States are lost each year. What integer represents t
klemol [59]

Answer:

-320000

Step-by-step explanation:

Given

Lost Land = 80,000 acres yearly

Duration 4 years

Required

The total change

Represent the total change with y;

y is calculated as thus;

y = Lost\ Land * Duration

y = -80,000 acres * 4

y = -320000\ acres

<em>Hence, a total of 320000 acres were lost during the period</em>

7 0
3 years ago
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