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Angelina_Jolie [31]
3 years ago
5

The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the

pyramid?
11 cm3
43 cm3
58 cm3
87 cm3
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0
The answer is <span>58 cm3
</span>
The volume of the pyramid with square base is:
V = s² * h / 3
s - the edge length, s = 5 cm
h - height, h = 7 cm

V = 5² * 7 / 3
V = 25 * 7 / 3
V = 58 cm³
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Terra cotta means "made from onyx."<br><br> true<br><br> false
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Answer:

False

Step-by-step explanation:

Onyx is made for jewels.

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3 years ago
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The gcf of two numbers less than or equal to 12 is 2. Their LCM is 20.What are the numbers?
bixtya [17]

We know:

LCM(a,\ b)=\dfrac{ab}{GCF(a,\ b)}

We have

GCF(a,\ b)=2,\ LCM(a,\ b)=20,\ a\leq12,\ b\leq12

Substitute:

20=\dfrac{ab}{2}\qquad|\cdot2\\\\ab=40

40=1\cdot40=2\cdot20=4\cdot10=5\cdot8

Only 4 and 10 meet the requirements of the question.

--------------------------------------------------------------------

40 and 1 NOT, because 40 > 12

20 and 2 NOT, because 20 > 12

5 and 8 NOT because GCF(5, 8) = 1

5 0
3 years ago
B<br>8<br>7<br>Find the length of "e" to the<br>nearest tenth using the<br>Pythagorean Theorem.<br>​
weeeeeb [17]

Answer:

≈ 10.63

Step-by-step explanation:

Pythagorean Theorem... Possibly the most easy theory in math once you understood it.

Here's the formula.

AB would be the hypothenuse

BC would be the opposite

CA would be the Adjacent.

But let's not make it complicated though, the question is actually quite easy.

You are asked to find AB, the hypothenuse.

The hypothenuse would be C.

BC and CA would be A and B.

It doesn't matter where are you going to place the numbers.

So,  

= 113

Now we would have to square root 113 since  

is an irrational number, and the question asks you to round ro the nearest tenth.

=10.63014581

≈ 10.63

Your answer would be 10.63

Hope this answer helped :)

5 0
3 years ago
Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the
mihalych1998 [28]

Answer:

a) 0.1353

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Step-by-step explanation:

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T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

f(x)=Le^{-Lx}

With L > 0 and x ≥ 0

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f(x)=e^{-x}

For a)

P(T>2)

P(T>2)=1-P(T\leq 2)

P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx

P(T>2)=1-(-e^{-2}+1)

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For b)

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P(T\geq 1)=1-P(T

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3 years ago
4x + 2(x + 8) = -19+ x
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3 years ago
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