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Lelu [443]
3 years ago
9

In triangle Uvw , the measure of angle w=90°, the measure of angle u=50 , and wu = 27 feet. Find

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

Answer:

32.2 feet

using trigonometry, we find that sin(u)=VW/WU

sin50=VW/27

27sin50=32.177347

VW=32.2

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2 years ago
PLEASE HELPPPPPP!!!!!!Solve this system of linear equations separate the x-and y-values with a comma
GenaCL600 [577]

Answer:

x=-6,\\y=6

Step-by-step explanation:

Rewrite the system of equations as:

\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}

Subtract the second equation from the first to isolate x:

-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}

Plug in x=-6 into any of the equations above and solve for y:

-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}

Verify that the solution pair (-6, 6) works \checkmark

Therefore, the solution to this system of equations is:

x=-6,\\y=6

8 0
2 years ago
Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16. Find AC. The diagram is not to scale.
Lunna [17]

Answer: The measure of AC is 32.

Explanation:

It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.

The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.

Since F and D are midpoints of AE and EC respectively.

So by midpoint theorem length of AC is twice of DF.

AC=2\times DF

AC=2\times 16

AC=32

Therefore, the length of AC is 32.

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D%20%2B%20%5Csqrt%5B3%5D%7B0.027%7D%20-%20%5Csqrt%5B3%5D%7B125%7D" id="
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Step 1: calculate the cube roots, convert the decimal into a fraction, and calculate the cube roots again

10 + 3 square root 27/1000 - 5

Step 2: calculate the cube root

10 + 3/10 -5

Step 3: subtract the #’s

5 + 3/10

Step 4: calculate and you get

53/10


Answer: 53/10

3 0
3 years ago
Select the locations on the number line to plot the points 11 /4 and 19 /4 .
KIM [24]

Answer:


Step-by-step explanation:


6 0
3 years ago
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