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bazaltina [42]
3 years ago
14

Please help ill give 20 points

Mathematics
1 answer:
anastassius [24]3 years ago
6 0

The hypotenuse is 16 and the longer leg is 8√3

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What is the length of EF in the triangle? Show your work. HELP!
Zinaida [17]

The length of EF in the given triangle is 8.80 m.

Step-by-step explanation:

Step 1:

In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.

The angle given is 90°, this makes the triangle a right-angled triangle.

So first we calculate the angle of E and use that to find x.

Step 2:

As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.

sinE = \frac{oppositeside}{hypotenuse}  =\frac{13.6}{16.2} = 0.8395.

E = sin^{-1} (0.8395), E = 57.087.

So the angle E of the triangle DEF is 57.087°.

Step 3:

As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.

cos E = \frac{adjacentside}{hypotenuse} = \frac{x}{16.2} .

cos(57.087) = 0.5433, x = 16.2 (0.5433) = 8.8014.

Rounding this off to the nearest hundredth, we get x = 8.80 m.

8 0
3 years ago
Which of the following is the correct graph of the compound inequality 4p + 1 <-11 or 6p +3 > 39?
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I think that will be the answer and the graph i take it for leter

4 0
3 years ago
Find angle 1, if angle 2 = 56 and m LJKL = 145
Alexandra [31]

Answer: NEED PICTURE TO ANSWER, we dont know if it a square or if its a rectangle, sry

Step-by-step explanation:

3 0
3 years ago
and United States Lowe's sells particular carpet for $4.88 per square foot in the United Kingdom carpetright sells assembler car
Alisiya [41]

The carpet of United Kingdom carpet-right is cheaper by 3.33 dollars/ft²

<u><em>Explanation</em></u>

Price of the carpet in United States Lowe's is 4.88 dollars/ft²

Price of the carpet in United Kingdom carpet-right is 12.99 pound sterling/m²

1 pound sterling = 1.28 US dollars and 1 meter = 3.28 ft . So....

12.99 pound sterling/ m²

=\frac{(12.99) pound sterling}{(1 meter)^2}\\ \\ = \frac{(12.99*1.28)dollars}{(3.28 ft)^2} =\frac{16.6272 dollar}{10.7584 ft^2}= 1.55 dollar/ft^2

<u>As the unit price of the carpet per square feet in United Kingdom carpet-right is less than United States Lowe's</u>, so the carpet of United Kingdom carpet-right is cheaper by (4.88-1.55)dollar/ft^2 = 3.33 dollar/ft^2

3 0
3 years ago
What is the value of variable in the equation below D +7×2 = 20
aleksklad [387]

Answer:

D=6

Step-by-step explanation:

So, first, we can multiply 7x2=14. Then, it would be D+14=20. 20-14=6, so D=6.

7 0
2 years ago
Read 2 more answers
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