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yarga [219]
3 years ago
13

Find the measure of angle Y. Round your answer to the nearest hundredth. (Please type the numerical answer only)

Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

y = 11.54°

Step-by-step explanation:

Reference angle = y°

Opposite side length = 4

Hypotenuse = 20

Apply trigonometric function SOH:

Sin(y) = \frac{Opp}{Hyp}

Sin(y) = \frac{4}{20}

Sin(y) = 0.2

y = Sin^{-1}(0.2)

y = 11.536959° ≈ 11.54° (nearest hundredth)

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For a direct variation describe how the constant of variation affects whether y increases or decreases as x increases
Goryan [66]
Direct variation is of the form: y=kx  (inverse variation is of the form y=k/x)

Assuming that k is positive :)

y increases as x increases and y decreases as x decreases.  There is a direct ratio that is described by k.  k=y/x.
7 0
3 years ago
Find a8 when a1 = 40,000, r = 0.1
Sindrei [870]

Answer:

a8 = 0.004

Step-by-step explanation:

Q is abt a geometric series given by the eqn: an = a1*r^(n-1)

given a1 = 40000, r = 0.1

an = 40000*(0.1)^(n-1)

a8 = 40000*(0.1)^(8-1)

= 40000*(0.1)^7

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3 0
3 years ago
Read 2 more answers
Write an<br> expression to represent:<br> The sum of ten and the quotient of a number and 6.
hoa [83]

Answer:

10 + x/6

Step-by-step explanation:

8 0
3 years ago
the perimeter of a rectangle is 70 inches. the length of a rectangle is 5 less than 3 times its width. what is the witdth of the
Virty [35]

Answer:

The width is 10 inches

Step-by-step explanation:

Perimeter = 2(Length + Breadth)

Length(L) = 3B + 5

Perimeter = 70

70 = 2(3B + 5)

70 = 6B + 10

70 - 10 = 6B

60 = 6B

60/6 = B

B = 10 inches

4 0
2 years ago
During a business trip, an individual stopped at two rest stops. In the parking lot of the first rest stop, they counted 20 cars
olganol [36]

Answer

given,

on first stop

number of car = 20  and number of trucks = 18

on second stop

number of car = 18  and number of trucks = 10

we need to calculate which rest stop has higher ratio of car to truck.

Rest Stop 1

ratio= r₁ =\dfrac{cars}{trucks}

           r₁ =\dfrac{20}{18}

           r₁ =\dfrac{10}{9}

Rest Stop 2

ratio= r₂ =\dfrac{cars}{trucks}

           r₂ =\dfrac{18}{10}

           r₂=\dfrac{9}{5}

hence, r₂ > r₁

rest stop 2 has more car to truck ratio than rest stop 1

3 0
2 years ago
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