Answer:
36
Step-by-step explanation:
Answer: b = 15, the perimeter is 40, and the area is 60.
Step-by-step explanation: First we need to find b. Using the Pythagorean Theorem, we know what 8^2 + b^2 = 17^2. This is the same as 64 + b^2 = 289. Subtract 64 from each side and we get b^2 = 225, which happens to be 15^2, so b=15. Now that we have b, we can add 8 + 15 + 17 to get the perimeter, 40. The area comes from 1/2*base*height, so 1/2 * 8 * 15. The area of the triangle is 60.
Answer:
C. 33.2%
Step-by-step explanation:
Number of trials n = 85
Probability of success p = 0.5
Number of successes r = 40
Use cumulative binomial probability:
P(x ≤ r) = binomcdf(n, p, r)
P(X ≤ 40) = binomcdf(85, 0,5, 40)
P(x ≤ 40) = 0.332
Answer:
Reduce the greatest common factor on both sides of the equation: (2x+y=12
(x-3y=27
Rearrange like terms to the same side of the equation: (2x+y= 12
(x=27+3y
Substitute into one of the equations: 2(27+3y)+y=12
Apply Multiplicative Distribution Law: 54+6y +y=12
Rearrange unknown terms to the left side of the equation: 6y+y=12-54
Combine like terms: 7y=12-54
Calculate the sum or difference: 7y=-42
Divide both sides of the equation by the coefficient of variable: y= -42÷7
Calculate the product or quotient: y= -6
Substitute into one of the equations: x=27+3×( -6)
Remove the parentheses: x=27-3×6
Calculate the product or quotient: x=27-18
Calculate the sum or difference: x=9
The solution of the system is: x=9
y=-6
Answer:
x=9
y=-6
Answer:
15
Step-by-step explanation:
just took the test. x=5 and the answer to the equation is 15