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DochEvi [55]
3 years ago
6

Help with this question please!

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

<em>V = 120 in^3</em>

<u><em>Here is why:</em></u>

The volume formula for a pyramid is:

V=\frac{1}{3}Bh

The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.

The area formula for a triangle is:

A=\frac{1}{2}bh

Plug in the numbers.

A=\frac{1}{2}*9*10

A = 45

Now we have found the area of B, we can plug it into the volume formula for the pyramid.

V=\frac{1}{3}*45*8

V = 120 in^3

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Geometry. Attached photo. PLEASE FOR THE LOVE OF GOD.
kupik [55]

Answer:

m<C = 42°

Step-by-step explanation:

Given:

m<A = (2x - 2)°

m<C = (4x - 6)°

m<DBC = (5x + 4)°

Thus:

m<DBC = m<A + m<C (exterior angle theorem of a triangle)

(5x + 4)° = (2x - 2)° + (4x - 6)°

Solve for x

5x + 4 = 2x - 2 + 4x - 6

Collect like terms

5x + 4 = 6x - 8

5x - 6x = -4 - 8

-x = -12

Divide both sides by -1

x = 12

✔️m<C = (4x - 6)°

Plug in the value of x

m<C = 4(12) - 6 = 48 - 6

m<C = 42°

4 0
3 years ago
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There is triangle one of the angles is 101 degrees and the other is 38 workout x
Wittaler [7]

Angle sum property = Sum of the three angles of a triangle will be equal to 180° .

Using this let us find out the measure of x .

Measure of first angle = 101°

Measure of second angle = 38°

Measure of third angle = x

101 + 38 + x = 180

139 + x = 180

x = 180 - 139

= x = 41

∴ \: the \: value \: of \: x \:  = 41°

8 0
3 years ago
What is the sum of all integers x that satisfy 1 &lt; (pi -1 )x &lt; 10?
DedPeter [7]

Answer:

10

Step-by-step explanation:

pi is 3.14...

pi - 1 is 2.14...

question becomes 1<2.14x and 2.14x < 10

1/2.14 < x, 0.46... < x

x < 10/2.14, x < 4.67...

combining

0.46< x < 4.67

x can be 1, 2, 3, 4

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How to solve this (complex fraction)
Leviafan [203]
1/4+5/4=1.5
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3 years ago
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Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t
alukav5142 [94]

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

6 + 6 = 12 seeds, which means that N = 12

6 treated, which means that k = 6

Five sprouted, which means that n = 5

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076

0.0076 = 0.76% probability that all five plants emerged from treated seeds

3 0
3 years ago
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