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aalyn [17]
3 years ago
9

PLEASE HELP. I need DE AND EF!!!

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

DE = about 41.843 (rounded to nearest thousandth)

EF= 34.276 (rounded)

Step-by-step explanation:

For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°.  We can use trigonometry to figure this out.  SinФ equals the opposite side (in this case, 24) divided by the hypotenuse.  Set sinФ equal to a ratio of the sides like this:

sin(35) = \frac{24}{x}

x represents the hypotenuse length, which we don't know; 35 is the angle measure.  Next, isolate x so that the equation looks like this:

\frac{24}{sin(35)} = x

You will need a calculator for the next part.  (and make sure you're in degree mode!).  evaluate sin(35) and divide 24 by that value.  That is DE's length.  DE = about 41.843 (rounded to nearest thousandth)

For EF, we can just use Pythagorean theorem now that we know the other sides' values.

EF^2 + 24^2 = DE^2

*a calculator might also be useful for this part.

EF= 34.276 (rounded)

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Answer:

- 16 + ( - 7 )

Step-by-step explanation:

- 16 + ( - 7 ) is same as - 16 - 7.

3 0
3 years ago
Solve this system of equations. y = 5x +20 and y = -2x -8
Thepotemich [5.8K]

Answer:

y = 0

x = -4

( x, y ) = ( -4 , 0 )

Step-by-step explanation:

y = 5x + 20

y = -2x - 8

Substitute

5x + 20 = -2x - 8

Add 8 on both sides

5x + 20 + 8 = -2x - 8 + 8

5x + 28 = -2x

Subtract 5x on both sides

5x - 5x + 28 = -2x - 5x

28 = -7x

Divide by -7 on both sides

28/-7 = -7x/-7

-4 = x

Now that you have x, you can substitute it in one of the equations that was given to find the value of y.

y = 5x + 20

y = 5(-4) + 20

y = -20 + 20

y = 0

Or....

y = -2x - 8

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y = 8 - 8

y = 0

They will both be 0 no matter what

Point form = ( -4, 0 )

Hope this helped

3 0
3 years ago
In the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each vari
elena-14-01-66 [18.8K]

Answer:

y=95

Step-by-step explanation:

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180-85=95

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Suppose a charitable organization decides to raise money by rating a trip worth 500 13.000 dats a 10 find the
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Answer:

Describe the error in the work shown.

A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes. What is the new position of the submarine in relation to sea level?

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Step-by-step explanation:

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3(1-2x)=1/4(6x+9) what does x equal? <br> A) x=1/10<br> B) x=7/10<br> C) x=-12/7<br> D)x=-1/5
harina [27]

Answer:

A

Step-by-step explanation:

3(1-2x)=1/4(6x+9)

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3/4-6x=1 1/2x

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3/4=7 1/2x

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7 0
3 years ago
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