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FrozenT [24]
3 years ago
10

In ΔDEF, the measure of ∠F=90°, DE = 91 feet, and FD = 59 feet. Find the measure of ∠D to the nearest degree.

Mathematics
2 answers:
lakkis [162]3 years ago
6 0

Answer:

50

Step-by-step explanation:

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos D = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{59}{91}

cosD=

hypotenuse

adjacent

​

=

91

59

​

\cos D = \frac{59}{91}

cosD=

91

59

​

D=\cos^{-1}(\frac{59}{91})

D=cos

−1

(

91

59

​

)

D=49.583\approx 50^{\circ}

D=49.583≈50

∘

Type into calculator and round to the nearest degree.

D

E

F

59

91

(adjacent to ∠D)

nasty-shy [4]3 years ago
5 0

Answer:

Step-by-step explanation: I need help now pls

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11Alexandr11 [23.1K]
A) f(x) = x-2 because the points in the y axis are -2 from the origin and x goes first
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4 years ago
What is the recursive formula when given the explicit formula for the following geometric sequence?
satela [25.4K]

Answer:

C

Step-by-step explanation:

Take a careful look at a(n) =  6(-8)^(n-1).

The first term is 6.  This is the result if we let n = 1; 6(-8)^0 = 6(1) = 6.  Thus, we can immediately eliminate possible answer choices A and D.

What's the next term?  Knowing that the first term, a(1), is 6, the next term is found by multiplying this 6 by (-8)^1, obtaining -48.

The next (third) term is found by multiplying this -48 by (-8)^2, obtaining -48*(+64), or - 3072.

Note that the sign of (-8)^(n-1) alternates, being odd when n-1 is odd and even when n-1 is even.

Answer C is the correct one.  

5 0
4 years ago
6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0
3 years ago
What is the awnser.i don't get it.
Dennis_Churaev [7]
8x+Y=-16
answer
Y=-8x-16
6 0
4 years ago
Read 2 more answers
What two positive real numbers whose product is 7272 have the smallest possible​ sum?
nadezda [96]
\sqrt{7272} and \sqrt{7272}, or as a rounded decimal 85.28 and 85.28. 

To find the smallest possible sum of roots for any product, the answer is always whatever numbers are closest together. This fact can be derived by the fact that the greatest area we can enclose with a given length is a perfect square. So we can take the square root of 7272 and use that, since they will be exactly the same number. 

If you are looking for whole numbers, you would have to go up or down until you find a factor of 7272 closest to the square root. In this case that would be 72 and 101. 
3 0
3 years ago
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