Answer:
The probability is 8 over 15.
Step-by-step explanation:
14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar.
It means n(G and D)=14, n(D)=28, n(G)=18.
Using the formula of Union:-
n(G or D) = n(G) + n(D) - n(G and D).
n(G or D) = 18 + 28 - 14.
n(G or D) = 32.
It says 60 musicians applied for a job at a music school. So n(U)=60.
The probability that the applicant who gets the job plays drums or guitar is = n(G or D)/n(U) = 32/60 = 8/15.
Hence, the probability is 8 over 15.
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Let's take a triangle ABC, with a, b, and c the sides length, he law of sine is:
a/sin A =b/sin B = c/sin C
If we know the value of 2 angles and one side or the value of 2 sides and one angle, we can calculate all the elements of the triangle
Answer:
130 yd^2
Step-by-step explanation:
First we find the area of the triangle
A = 1/2 b h where b is 10 and h= 6.25
A = 1/2 (10) * 6.25
= 31.25 yd^2
Then we find the area of rectangle A
A = l*w where l is 10 and w = (7.5-2.5) = 5
A = 10 * 5
= 50 yd^2
Then we find the area of rectangle B
A = l*w where l is 6.5 and w = 7.5
A = 6.5 * 7.5
= 48.75 yd^2
The total area is found by adding them together
A triangle + rectangle A + rectangle B
31.25+50 + 48.75
130 yd^2
Answer:
19 bags
Step-by-step explanation:
52 x 9=468 pounds of food
468 / 25=18.72 or 19 bags
Answer:
x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2
Step-by-step explanation:
Solve for x:
x - 3 = 56/(x + 4)
Cross multiply:
(x - 3) (x + 4) = 56
Expand out terms of the left hand side:
x^2 + x - 12 = 56
Add 12 to both sides:
x^2 + x = 68
Add 1/4 to both sides:
x^2 + x + 1/4 = 273/4
Write the left hand side as a square:
(x + 1/2)^2 = 273/4
Take the square root of both sides:
x + 1/2 = sqrt(273)/2 or x + 1/2 = -sqrt(273)/2
Subtract 1/2 from both sides:
x = sqrt(273)/2 - 1/2 or x + 1/2 = -sqrt(273)/2
Subtract 1/2 from both sides:
Answer: x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2
