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VikaD [51]
3 years ago
7

Monique has 2 hours to complete 3 homework assignments.She wants to spend the same amount of time on each assignment.How meany m

inutes does she have for each assignment?
Mathematics
1 answer:
slamgirl [31]3 years ago
6 0
2 hours = 120 minutes. Divide 120 by 2, which is 40. So she has 40 minutes for each assignment
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While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at
tekilochka [14]

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

<h3>How to estimate the speed of the moving walkway relative to the airport terminal?</h3>

Let x be the speed of the walkway.

(2.8 + x) = speed of child moving in direction of the walkway

(2.8 - x) =  speed of child moving against the direction of the walkway

Travel time = distance/speed

Travel time of child moving in direction of walkway = 23/(2.8+x)

Total elapsed time given = 29s

23/(2.8 + x)+ 23 / (2.8-x) = 29

LCD = (2.8 + x)(2.8 - x)

23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)

simplifying the equation, we get

23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)

23(2.8+2.8)/29=2.8^2-x^2

x^2=(2.8)^2-(23*5.6)/29)=3.4

x=\sqrt{3.4}=1.84m/s

Speed of walkway = 1.84 m/s

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

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4 0
2 years ago
In triangle ABC, a = 9, c = 5, and angle B = 120°. Find the measure of angle A to the nearest degree. Show your work.
slamgirl [31]

<u>Answer:</u>

Angle A = 39°

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

We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.

But first we need to find the side b using the law of cosine:

b^2 = a^2 + c^2- 2a*c*cos(120)

b^2 = 81 + 25 - 2*9*5*(-0.5)

b=\sqrt{151}

Now finding angle A using law of cosine:

cos(A) = \frac{b^2+c^2-a^2}{2b*c}

cos(A) = \frac{151+25-81}{2*12.29*5}

cos A=0.7730

A=39.38

Therefore, the measure of angle A = 39°.

7 0
3 years ago
Read 2 more answers
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