Answer:
x = 20
Step-by-step explanation:
Given the triangles are congruent then corresponding angles are congruent, so
∠ N = ∠ E
To calculate ∠ E subtract the sum of the 2 given angles from 180
∠ E = 180 - (x - 5 + 4x - 10)
= 180 - (5x - 15)
Equate ∠ N and ∠ E
5x - 5 = 180 - 5x + 15 ( add 5x to both sides )
10x - 5 = 195 ( add 5 to both sides )
10x = 200 ( divide both sides by 10 )
x = 20
Answer:
t=3.5 seconds
Step-by-step explanation:
Given
h(t) = −16t^2 + 111t + 0
h'(t)= -32t + 111
Maximum height occurs when h(t) = 0 and the ball begins to fall
h(t)= -32t + 111=0
-32t + 111=0
-32t=-111
Divide both sides by -32
t=3.46872
Approximately, t=3.5 seconds
Recall,
Maximum height occurs when h(t) = 0
h(t)= -32t + 111=0
= -32(3.46872)+111
= -110.99904+111
= 0.00096 ft
Answer:
She did not qualify the exam.
Step-by-step explanation:
Given data
Total no of question in a test = 20
No. of question answered correctly = 16
Percentage of question answered correctly
But in order to get in the exam the student must have to score at least 90 %. But she got only 80 % so she did not qualify the exam.
Answer:
4 million a day, 28 million a week, 145,600,000 a year.
Step-by-step explanation:
6 million times 4 is 24 million. Which explains 4 million daily.
4 million times 7 days a week is 28 million weekly.
28 million times 52 weeks a year is 145,600,000.
