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Ivenika [448]
3 years ago
13

Use the Pythagorean theorem to find the distance form Emma’s house to the pool

Mathematics
1 answer:
laiz [17]3 years ago
6 0

What are the measurements?

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What is the value of x? <br>A.39<br>B.41<br>C.26<br>D.17​
mojhsa [17]

Answer:

The answer is B.

Step-by-step explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Let a = 40,

Let b = 9,

{c}^{2}  =  {40}^{2}  +  {9}^{2}

{c}^{2}  = 1600 + 81

{c}^{2}  = 1681

c =  \sqrt{1681}

c = 41 \: units

*Take note, hypotenuse will <u>a</u><u>l</u><u>w</u><u>a</u><u>y</u><u>s</u><u> </u><u>b</u><u>e</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>l</u><u>o</u><u>n</u><u>g</u><u>e</u><u>s</u><u>t</u><u> </u><u>l</u><u>e</u><u>n</u><u>g</u><u>t</u><u>h</u> among the 3 lengths.

*Pythogorean Theorem can only applied in a right-angle triangle.

3 0
2 years ago
Jennifer can clean her room 2 hours, while John can clean the same room in 5 hours. How many hours would it take for them to cle
True [87]
For 1 hour:
- Jennifer can clean 1/2 of her room;
- John cal clean 1/5 of her room.
Both can clean: 1/2 + 1/5 = 5/10 + 2/10 = 7/10
1 hour  -------- 7/10
x hours---------- 1
x = 1 : 7/10 = 10/7 h = 1.42857 h ( or 1 h 25 min 43 s )
7 0
3 years ago
Read 2 more answers
Which of the following describes how to calculate the total investment in a load fund?
suter [353]
To calculate the total investment in a load fund, B.) MULTIPLY THE NUMBER OF SHARES BY THE OFFER PRICE.

Load fund is a mutual fund. The term "load" is used to refer to a fund with commission. 

The commission is the difference of the net asset value and the offer price of the fund.


7 0
3 years ago
Read 2 more answers
3. (05.06 MC)
AveGali [126]

Answer:

Step-by-step explanation:

y > 3x + 10

y < -3x - 1

<h3> Part A:</h3>

You'd graph the given systems of linear inequalities the same way as you graph the linear equations.  

To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph.  Use a dashed line (because of the ">" symbol).  

Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).  

Pick a test point on either side of the boundary line and plug it into the original problem.  This will help determine which side of the boundary line is the solution.  Plug in a test point that is not on the boundary line.

Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.  

y > 3x + 10

0 > 3(0) + 10

0 > 0 + 10

0 > 10 (False statement).  

y < -3x - 1

0 < -3(0) - 1

0 < 0 - 1

0 < -1 (false statement).  

Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.  

<h3>Part B: </h3>

You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.  

y > 3x + 10

10 > 3(8) + 10

10 > 24 + 10

10 > 34 (False statement).  

y < -3x - 1  

10 < -3(8) - 1

10 < -24 - 1

10 < -25 (false statement).  

Therefore, (8, 10) is not a solution to the system.    

8 0
2 years ago
How are you supposed solve x
Sergeeva-Olga [200]
Because the lines are parallel, 75 is equal to 11x-2
75=11x-2
77=11x
x=7
7 0
3 years ago
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