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Anestetic [448]
3 years ago
15

Find the missing value to the nearest hundredth.

Mathematics
2 answers:
Hitman42 [59]3 years ago
8 0

Answer:

(A)

Step-by-step explanation:

Given: sin ___ = 7/12

To find: The missing angle of sine.

Solution: Let the missing angle be A, then the given equation can be written as:

sinA=\frac{7}{12}

Taking sin inverse on both sides, get

A=sin^{-1}\frac{7}{12}

A=sin^{-1}(0.583)

A=35.69^{\circ}

Therefore, value of the missing angle is 35.69^{\circ}, thus option A is correct.

Lisa [10]3 years ago
4 0
Sin x = 7/12
x = arcsin (7/12) = 35.69°
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A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
Bess [88]

Answer:

The speed of the plane in still air = 150 mph

Step-by-step explanation:

This is a relative velocity question

Let the velocity of the plane in still air be v

And let the time the plane can fly 480 miles against the wind be t

(Velocity of the plane relative to the wind) = (velocity of plane) - (velocity of wind)

Flying against the wind

(Velocity of plane relative to the wind) = (480/t)

(Velocity of the plane) = v

(Velocity of the wind) = 30 mph

(480/t) = v - 30

t = 480/(v-30) (eqn 1)

Flying with the wind

(Velocity of plane relative to the wind) = 540/(t-1)

(Velocity of the plane) = v

(Velocity of the wind) = -30 mph

540/(t - 1) = v + 30

t - 1 = 540/(v+30) (eqn 2)

Since t is equal in both cases, substitute the value of t in eqn 1 into eqn 2.

[480/(v-30)] - 1 = [540/(v+30)]

Multiply through by (v+30)(v-30)

480(v+30) - [(v+30)(v-30)] = 540(v-30)

480v + 14400 - (v² - 900) = 540v - 16200

480v + 14400 - v² + 900 = 540v - 16200

v² + 540v - 480v - 16200 - 14400 - 900 = 0

v² + 60v - 31500 = 0

Solving the quadratic equation,

v = 150 mph or v = -210 mph

We'll pick the positive answer because of the directions we have established.

Therefore, the speed of the plane in still air = 150 mph

Hope this Helps!!!

3 0
3 years ago
Evaluate the following expression. Round your answer two decimal places. Log3(10)
Elanso [62]
\bf \textit{Logarithm Change of Base Rule}
\\\\
log_a b\implies \cfrac{log_c b}{log_c a}\\\\
-------------------------------\\\\
log_3(10)\implies \cfrac{log_{10}(10)}{log_{10}(3)}\implies \cfrac{1}{log(3)}

and you can just plug that in your calculator.
3 0
3 years ago
Read 2 more answers
What is the IQR of 11,11.5,10.5,17,14.5,18,17,19
Vika [28.1K]

Ascending order :-

10.5 , 11 , 11.5 , 14.5 , 17 , 17 , 18 , 19

Median,

={(n/2)th + (n/2 +1)th}/2

={(4)th + (5)th}/2

=(31.5)/2

=15.75

I.Q.R.,

Median of lower half,

={(n/2)th + (n/2 +1)th}/2

={(2)th + (3)th}/2

=(22.5)/2

= 11.25

Median of upper half,

={(n/2)th + (n/2 +1)th}/2

={(2)th + (3)th}/2

=35/2

=17.5

I.Q.R. = 17.5 - 11.25 = 6.25

HOPE THIS WILL HELP YOU

4 0
3 years ago
Read 2 more answers
Where does the y axis intersect
stepladder [879]
Is there a picture or something?
7 0
2 years ago
What is the surface area of a box if it is scaled up by a factor of 10
xenn [34]
If we are scaling up the surface area by a factor of 10 means that the two dimensions of area are each being increased by 10 times the original size. Therefore, the surface area is increased by a factor of 10 x 10, or by a factor of 100.

7 0
3 years ago
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