Answer:

Step-by-step explanation:
We draw the right triangle as shown in the image attached.
Δ QRS
Where R is the right angle
Given
QR = 8
QS = 17
Now, using Pythagorean Theorem, we can find RS:

Now, we know the ratio Sine as:

Where
is the angle (here angle Q)
Opposite side is RS (which is 15)
Hypotenuse is given as QS (which is 17)
So,

This is the value of SinQ.
We don't want the angle, so we'll stop here.
Answer:
BC:BN=8:3
Step-by-step explanation:
ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.
Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD
But, BC= BN+NC
Therefore, BC:BN=(BN+NC):BN
⇒BC:BN=(3+5):3
⇒BC:BN=8:3
Answer:
The average rate of change of f(x) = 3.14 inches⁻¹
The change in f(x) = 49.32 in
Step-by-step explanation:
The surface area of the spherical sculpture = x and its diameter f(x) = πx.
The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14
Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx
dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²
df(x) = π × 15.7 = 49.32 in
Answer: 
Therefore, the algebraic exp
Step-by-step explanation:
Given : x represents the number of pounds of coffee A.
The total weight of the mix of coffee A and coffee B = 100 pounds.
Then , we have the following expression to represents the number of pounds of coffee B:-

Therefore, the algebraic expression that represents the number of pounds of coffee B. :-

Answer:
mean (μ) = 4.25
Step-by-step explanation:
Let p = probability of a defective computer components = 
let q = probability of a non-defective computer components = 
Given random sample n = 25
we will find mean value in binomial distribution
The mean of binomial distribution = np
here 'n' is sample size and 'p' is defective components
mean (μ) = 25 X 0.17 = 4.25
<u>Conclusion</u>:-
mean (μ) = 4.25