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steposvetlana [31]
4 years ago
5

Bailey writes the expression g^2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be

used to find the dimensions of her garden?
(g−4)(g−10)

(g+4)(g+10)

(g+4)(g−10)

(g−4)(g+10)
Mathematics
1 answer:
Sedbober [7]4 years ago
3 0

Answer:

(g + 4)(g + 10)

Step-by-step explanation:

Note that 10*4 = 40 (which is the constant in g^2 + 14g + 40) and that 10 + 4 = 14 (which is the coefficient of x in g^2 + 14g + 40).

Thus, g^2 + 14g + 40 factors into (g + 4)(g + 10) (second answer choice).

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Two of the angles in a triangle measure 57º and 25°. What must be the measure of the
ira [324]

The measure of the third angle in the triangle is 104 degrees

<h3>How to determine the measure of the third angles?</h3>

Let the three angles in the triangle be x, y and z.

Such that:

x = 51

y = 25

The sum of angles in a triangle is 180 degrees.

So, we have:

x + y  + z = 180

Substitute known values

51 + 25 + z = 180

Evaluate the sum

76 + z = 180

Subtract 76 from both sides

z = 104

Hence, the measure of the third angle is 104 degrees

Read more about triangles at:

brainly.com/question/21735282

#SPJ1

5 0
2 years ago
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are 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:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

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

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

6 0
3 years ago
A single tree produces about 2.6 × 10² lb of oxygen each year. The Amazon rainforest has about 3.9 X 10^11 trees.
Ymorist [56]
(2.6\times10^2) \times (3.9\times10^{11}) = 1.014\times10^{14}

1.014\times10^{14} <---How much is produced by all the trees in a year. 
They want how much each day so divide by 365


\frac{1.014\times10^{14}}{365} = 2.77808\times10^{11}
2.77808\times10^{11} <---answer per day

6 0
3 years ago
Read 2 more answers
What is 8.2 divided by 2.87
igor_vitrenko [27]
8.2/2.87 
=2.857143

:)

Hope this helps!
6 0
3 years ago
Ellen has 60 feet of craft wire.She plans to cut it into pieces that are each 3 meters long.What is the greatest number of 3-met
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 the answer will be B. 6
4 0
3 years ago
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