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KATRIN_1 [288]
2 years ago
14

Heather lives 7 / 10 mile from theschool and 2 / 5 miles from the library . How much closer does Heather live to the library tha

n school
Mathematics
1 answer:
frez [133]2 years ago
6 0
First get the same denominator 2/5=4/10 so from here do 7/10-4/10 the denominator stays the same and the numerator changes, 3/10 is the answer so Heather live 3/10 of a mile closer to the library than the school
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The furthest angle of elevation to the top of the steeple was 20 degrees and the closest angle elevation to the church was 29 de
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The angle measure of ACB is 9 degrees

Answer: Option B

<u>Step-by-step explanation:</u>

To find the solution to the given problem, first we need to look into the point B. It consists two angles and both of them are on a straight angle. So, this means that the sum of angle ABC and CBD is 180 degrees, that is

               \angle A B C+\angle C B D=180^{\circ}

We know that \angle C B D=29^{\circ}. Therefore

               \angle A B C+29^{\circ}=180^{\circ}

               \angle A B C=180^{\circ}-29^{\circ}=151^{\circ}

Now, in the triangle ABC, we know that all three angles must sum 180 degrees,

               \angle C A B+\angle A B C+\angle B C A=180^{\circ}

               20^{\circ}+151^{\circ}+\angle B C A=180^{\circ}

               \angle B C A=180^{\circ}-20^{\circ}-151^{\circ}=9^{\circ}=\angle A C B

Therefore, the angle ACB is 9 degrees.

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I think the answer is 59.000 B
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Which is the completely factored form of 4x3 10x2 – 6x? 2(x 3)(2x – 1) 2x(x 3)(2x – 1) 2x(x – 3)(2x – 1) 2(x – 3)(2x 1).
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The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).

Option B represents the correct factors of the equation.

<h3>What is a Factor of the number?</h3>

A factor of the number can be defined as a divisor of the number that divides it completely without leaving any remainder.

Given equation is 4x^3+10x^2 – 6x. This can be factorized as given below.

4x^3+10x^2-6x = 0

We take the common term 2x, then,

2x ( 2x^2 + 5x -3)=0

2x ( 2x^2 +6x -x -3)=0

2x (2x (x+3) -1(x+3))=0

2x (2x-1)(x+3)=0

Hence we can conclude that the factors of the given equation are 2x(x+3)(2x – 1). Option B shows the correct factors.

To know more about the factors, follow the link given below.

brainly.com/question/3423184.

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2 years ago
Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on
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The question is incomplete! Complete question along with answers and step by step explanation is provided below.

Question:

(a) Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. Under what conditions is it appropriate to use a normal approximation to the binomial? (Select all that apply.)

nq > 10

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Step-by-step explanation:

Please refer to the attached images for explanation, I am unable to type in text editor due to some technical error!

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D, can form a trangle 
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