Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
Answer: P = 0.125 = 1/8
Step-by-step explanation:
We know that he has a blue coat and a black coat.
If he dresses at random, then the probability of getting the blue coat is equal to the quotient between the number of blue coats (1) and the total number of coats (2).
Then the probability is:
p = 1/2
We also know that he has blue pants and brown pants, the probability of getting at random the blue pants is calculated in the same way than above, then:
q = 1/2
And for the shirt he has a blue shirt and a red one, the probability of randomly selecting the blue one is calculated in the same way than above, then:
k = 1/2
Now, the joint probability (he selects all blue clothes) is equal to the product of the individual probabilities:
P = p*q*k = (1/2)*(1/2)*(1/2) = 1/8 = 0.125
Answer: 1145 ft
Step-by-step explanation:
tan 45=1145/x
x tan45/1=1145
x tan 45/ tan 45= 1145/ tan 45
x= 1145/ tan45= 1145... ≈1145
Y=2x-3 rise over run and then the y intercept
