MATHEMATICS MIDDLE SCHOOL

How far away from the tree is the girl ? A. 30 feet
B. 70 feet
C. 20 feet
D. 50 feet
How far away from the tree is the girl ? - 1

Answers

Answer 1
Answer:

Answer:

The correct option is C. 50 feet.

Therefore the girl is 50 feet away from the tree.

Step-by-step explanation:

Consider a Right angle Triangle

Elevation to the tree is ' θ '

Adjacent Side to θ = distance from the tree to girl = distance

Opposite Side to θ = height of the tree = height

\tan \theta =(20)/(50)

To Find:

distance from the tree to girl = distance

Solution:

In Right angle Triangle Tangent Identity

\tan \theta = \frac{\textrm{side opposite to angle theta}}{\textrm{side adjacent to angle theta}}

Substituting we get

\tan \theta = \frac{\textrm{height of the tree}}{\textrm{distance from the tree to girl}}

\tan \theta = (height)/(distance)

\tan \theta =(20)/(50) ........Given

Comparing the given equation with the above we get

distance =50\ feet

Therefore the girl is 50 feet away from the tree.

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If 2 more violinists join the orchestra and 1/2 the orchestra are violinists already what fraction of all musicians would play a stringed instrument
Jesse walked 3/4 of a mile last weekend. This weekend he walked 1/2 as far. How far did Jesse walk this weekend?
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What is greater 11/49 or 0.29

Answers

Let's see -

The way I like to do math like this is I divide the numerator of the fraction by the denominator and then move along - I'll show you what I mean

11 ÷ 49 = 0.22449, right? (This is just the rounded answer, but if you want to round it even MORE, it would be 0.22 as your final answer.)

So, now we can compare the two --

Which looks bigger? 0.22 OR 0.29?

° It wouldn't be 11/49, or, as we've just said, 0.22, because it isn't closer to 1, it is closer to zero.

° 0.29 is larger for the fact that it's closer to 1.


↑   ↑   ↑   Hope this helps! :D

8 students are painting 2 boards for a project the students want to divide the work equally.How much the board should each student paint?

Answers

ok well if you have 8 students and 2 boards divide the students by 2.
8/2=4
now, if each student wanted to paint part of a board and there are four students then divide 1 by 4
1/4=.25 or 1/4
so 4 students can paint one board while the other 4 students pain the other board
4 students can paint one board

The Peytons' car averaged 66 miles per hour on their trip. The trip took 90 minutes. How far did they travel?



A.
90 mi


B.
99 mi


C.
156 mi


D.
5940 mi


**DESCRIBE YOUR ANSWER**

Thank You!

Answers

the answer is B.99 mi. we know that in 60min. she travels 66 miles but we don't fo 60 we have 90 to et the number first subtract the hour form the extra time to get 30. now 30 is the half 60 so divide 66/2 to see how much 66/2=33 then add the 66+33=99 so she travels 99 miles in 90 min.
99 miles 90mins =60 mins +30 mins =66+33=99 miles

Over the course of 4 days the price of stock at a corporation fell $28. What was the average change in stock price per day?

Answers

7 is the average stock change

Three months ago , santos could walk 2 miles in 40 minutes. Today he can walk 2 miles in 25 minutes. What is the percent change?

Answers

Answer:

37.5%

Step-by-step explanation:

first work out the difference between the two numbers,

then divide the decrease by the OG number (40)

and multiply the answer by 100

Consider this scatter plot.(a) How would you characterize the relationship between the hours spent on homework and the test
scores? Explain.

(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h
of homework?

(c) What does the number 40 in Part (b) mean in the context of the situation?

Answers

A) the more time spent on homework the higher the test score

B) y =8x+40 = y=8(3)+40 = 24+40 = 64

C) 40 would be the test score if no time was spent doing homework

Answer:

We have been given the scatter plot:

(a)We can clearly see from the plot that there is direct proportion between the number of hours of homework and test scores.

Direct proportion means if hours of homework increases then test score increases  and vice-versa.

(b) we have  been given a function y=8x +40

We need to predict for 3 hours of  homework put x=3 in above function as x represents  hours of  homework  we get:

y=8(3)+40

y=24+40

y=64

Hence test score will be 64 for 3 hour of homework.

(c) 40 means the test score when there is x=0 means 0 hours o homework.
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