Answer:
Step-by-step explanation:
The two acute angles add up to 90 degrees. That's because every triangle has 180 degrees and a right angle is 90 degrees.
<m1 + <m2 + 90 = 180 Subtract 90 from both sides.
<m1 + <m2 + 90 - 90 = 180 - 90 Combine
<m1 + <m2 = 90
Let m1 = 9*m2 Substitute.
9m2 + m2 = 90 Combine
10 m2 = 90 Divide by 10
10m2/10 = 90/10
m2 = 9
m1 = 9*m2
m1 = 9 * 9
m1 = 81
The right angle = 90
m1 = 81
m2 = 9
Answer:
0.5798 or 57.98%
Step-by-step explanation:
The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).
Therefore, the probability that two particular people A and B will be on the same team is:

The probability is 0.5798 or 57.98%.
Answer:
-2
Step-by-step explanation:
add 3 to 11 and then divide 14 by -7
Answer:
Time(t) = 11.61 hours (Rounded to two decimal place)
Step-by-step explanation:
Given: The antibiotic clarithromycin is eliminated from the body according to the formula:
......[1]
where;
A - Amount remaining in the body(in milligram)
t - time in hours after the drug reaches peak concentration.
Given: Amount of drug in the body is reduced to 100 milligrams.
then,
Substitute the value of A = 100 milligrams in [1] we get;

Divide both sides by 500 we get;

Simplify:

Taking logarithm both sides with base e, then we have;

[ Using
]
or

[using value of
]
then;

Simplify:
t ≈11.61 hours.
Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams
Answer:
she would need 7 ounces
Step-by-step explanation: