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miv72 [106K]
3 years ago
11

Find the volume of this square based pyramid. 10 in 12 in [? ]in3

Mathematics
1 answer:
zaharov [31]3 years ago
5 0

Answer:

v=480 ~in^3

Step-by-step explanation:

v=1/3 Bh

1/3(12)^210=

480 ~in^3

<u>------------------------</u>

hope it helps...

have a great day!!!

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Find the equation for the line that passes through the point (−2,0), and that is perpendicular to the line with the equation 2/3
patriot [66]

Answer:

y = 3/2 x + 3

Step-by-step explanation:

2/3 x + y = -14/3

y = -2/3 x − 14/3

The slope of this line is -2/3.  So the perpendicular slope is the opposite of the inverse:

m = -1 / (-2/3)

m = 3/2

We know the slope of the line and a point on the line, so using point-slope form:

y − 0 = 3/2 (x − (-2))

Simplifying into slope-intercept form:

y = 3/2 (x + 2)

y = 3/2 x + 3

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3 years ago
What is the area of the right triangle ABC, given a(1,4), B(3,2), and C(-1,-2)
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Step-by-step explanation:

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3 years ago
The nth term of a sequence is 3n^2- 1
Thepotemich [5.8K]

Answer: The number that belongs to both sequences is 26.

Step-by-step explanation:

We have two sequences, let's call one as A and the other as B.

The n-th term of sequence A is written as:

aₙ = 3*n^2 - 1

the nth term of sequence B is written as:

bₙ = 30 - n^2

We want to find a term that belongs to both sequences, (it can be for different integers, we can use n for sequence A and x for sequence B)

Then we want to find:

aₙ = bₓ

where n and x are integer numbers.

Then we will heave:

3*n^2 - 1 = 30 - x^2

To find the pair, we could isolate one of the variables, then input different integers in the other variable and see if the outcome is also an integer.

Let's isolate n.

3*n^2 = 30 - x^2 + 1

3*n^2 = 31 - x^2

n^2 = (31 - x^2)/3

n = √(  (31 - x^2)/3)

Now let's input different values for x, and see if the outcome is also an integer, notice that x is in a negative term inside a square root, then we have only a few values of x such that the equation can be true.

Then let's start with x = 1.

n(1) = √(  (31 - 1^2)/3) = √(30/3) = √10

We know that √10 is not an integer.

now with x = 2,

n(2) = √(  (31 - 2^2)/3)  = √( (31 - 4)/3) = √(27/3) = √9 = 3

then if x = 2, we have n = 3.

Both of them are integers, then we get:

a₂ = 3*(3)^2 - 1 = 27 - 1 = 26

b₃ = 30 - 2^2 = 30 - 4 = 26

The number that belongs to both sequences is 26.

5 0
2 years ago
Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
vivado [14]

Answer:

1 and 3 is right

Step-by-step explanation:

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3 years ago
Read 2 more answers
What is the volume of the right triangle prism shown​
Ipatiy [6.2K]

Answer:

42cm3

Step-by-step explanation:

v = 0.5× b × h × l

= 0.5 × 4 × 3 × 7

= 42cm3

3 0
3 years ago
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