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ollegr [7]
2 years ago
15

In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.

Mathematics
1 answer:
kondor19780726 [428]2 years ago
5 0

Answer:

  54.5°

Step-by-step explanation:

You know that in a right triangle, the sine of an angle is given by ...

  Sin = Opposite/Hypotenuse

  sin(D) = EF/ED = 57/70

The inverse sine function is used to find the angle:

  ∠D = arcsin(57/70)

  ∠D ≈ 54.5°

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19 4/12 + 17 2/11 - 16 6/9 =
SOVA2 [1]

Answer:

19 28/33

Step-by-step explanation:

lets work out the whole number parts first:

= 19 + 17 - 16 = 20.

4/12 + 2/11 - 6/9

= 1/3 + 2/11 - 6/9

Find the LCM of the denominators:

3 = 3

11 = 11

9 = 3*3

- so the LCM is 3*3*11 = 99.

So we have:

33/99 + 18/99 - 66/99

= 51/99 - 66/99

= -15/99

= -5/33

So the answer is  20 - 5/33

= 19 28/33

You just had to subtract 5/33 from 20.

6 0
3 years ago
PLEASE HELP! I don't understand this question!
pantera1 [17]

Answer:

Its the first choice: right, scalene.

Step-by-step explanation:

It is a right angled triangle, (indicated by the little square at Q).

The sides have different lengths so it scalene.

8 0
3 years ago
Read 2 more answers
What figure is a dilation of Figure A by a factor of 1/2 ?
Liula [17]

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6 0
3 years ago
Calvert corporation expects an ebit of $25,300 every year forever. the company currently has no debt, and its cost of equity is
Gnom [1K]

Based on the EBIT, the cost of equity, and rates attached, Calvert Corporation has the following values:

  • a. $124,019.61
  • b. - 1 $136,421.57
  • b - 2 $155,024.51
<h3 /><h3>What is the value of Calvert Corporation?</h3>

This can be found as:

=  EBIT x (1 - tax rate) / cost of an equity

= 25,300 x (1 - 25%) / 0.153

= $124,019.61

<h3>What is the value with 40% debt?</h3>

= Value of firm + (Tax rate x Debt percentage x Value of firm)

= 124,019.61 + (25% x 40% x 124,019.61)

= $136,421.57

<h3>What is the value with 100% debt?</h3>

= 124,019.61 + (25% x 100% x 124,019.61)

= $155,024.51

Find out more on a firm's levered value at brainly.com/question/14339958.

#SPJ1

4 0
1 year ago
The picture frame has a perimeter of 100 inches. The width is 22 inches. Calculate the missing length. Use that answer to find t
ivanzaharov [21]

Answer:

39 inches.

858 inches²

Step-by-step explanation:

Length:- (if length = x)

2 ( 11 + x ) = 100

22 + 2x = 100

2x = 100 - 22

2x = 78

x = 78 ÷ 2

x = 39 inches

Area:-

Area = l × b

= 39 × 22

= 858 inches²

8 0
2 years ago
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