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NeTakaya
3 years ago
14

Which expression represents the approximate length of Line segment B C? Use law of sines

Mathematics
1 answer:
Mama L [17]3 years ago
4 0

Answer:

The expression is

BC=\frac{3}{sin(38^o)}sin(66^o)

BC=4.45\ units

Step-by-step explanation:

we know that

In the triangle ABC

Applying the law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

we have

AB=3\ units\\C=38^o\\A=66^o

substitute the given values

\frac{3}{sin(38^o)}=\frac{BC}{sin(66^o)}

Solve for BC

BC=\frac{3}{sin(38^o)}sin(66^o)

BC=4.45\ units

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Two old RSM students were standing ten feet apart when they ran in opposite directions with speeds of 180 feet per minute and 16
inessss [21]

The number of minutes that would pass before they were 1870 feet apart is 5.47 minutes

  • Since one student runs at a speed of 180 feet per minutes, in time t minutes, he moves a distance of d = 180t.
  • Also, the second student runs at a speed of 160 feet per minute, in time t minutes, he moves a distance of d' = 160t.

Since they are initially 10 feet apart, their total distance apart after t minutes is D = d + 10 + d'

D = 180t + 10 + 160t

D = 340t + 10

<h3>Number of minutes before they are 1870 feet</h3>

Making t subject of the formula, we have

t = (D - 10)/340

Since they are 1870 feet apart after t minutes, D = 1870 feet.

t = (D - 10)/340

t = (1870 - 10)/340

t = 1860/340

t = 5.47 minutes

So, the number of minutes that would pass before they were 1870 feet apart is 5.47 minutes

Learn more about minutes of distance apart here

brainly.com/question/8783264

7 0
2 years ago
4. The annual salaries of employees in a large company are approximately
svetoff [14.1K]

a. What percent of people earn less than $40000?

Solution: Let S be the random variable of a salary of employee (in $), S ~ N(50000,20000). Then the random

variable X =−50000

20000

~N(0,1).

( < 40000) = ( <

40000 − 50000

20000 ) = ( < −0.5) = (−0.5) = 0.3085375.

Here Φ(x) denotes the cumulative distribution function of a standard normal distribution.

Answer: 31%.

b. What percent of people earn between $45000 and $65000?

Solution:

(45000 < < 65000) = (

45000 − 50000

20000 < <

65000 − 50000

20000 ) = (−0.25 < < 0.75)

= (0.75) − (−0.25) = 0.7733726 − 0.4012937 = 0.3720789.

Answer: 37%.

c. What percent of people earn more than $70000?

Solution:

( > 70000) = ( >

70000 − 50000

20000 ) = ( > 1) = 0.8413447.

Answer: 84%.

5 0
3 years ago
What is negative 1 minus 5?
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5 0
4 years ago
Read 2 more answers
When 9 2/3 is written in simplest radical form, which value remains under the radical?
Vera_Pavlovna [14]

Answer:

The value under the radical is 3

Step-by-step explanation:

9^(2/3) This means 9 squared then find find the cube root of the answer.

9^(2/3)=∛(9^2 )

= ∛81

= ∛(3×3×3×3) = ∛(3)³ ₓ ∛3

= 3∛3

The value under the radical is 3

I hope this now shows clearly the number under the radical is 3.

BRAINLIEST?

3 0
3 years ago
Can someone please help me on this
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it is a because it is the line is in the spot we're it is ststop to go

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