Answer:
15 degrees
Step-by-step explanation:
Since ABD is a right angle it equals 90 degrees
ABC is 75 degrees
ABC + CBD = ABD
75 + CDB = 90
Subtract 75 from each side
75-75 + CDB = 90-75
CDB = 15
The other angle is 15 degrees
From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;
F = ma
In this case, m = 5kg, a = 6m/s^2 and we want to find F
F = 5 x 6
F = 30N
Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.
Answer:
Difference between high and low temperatures: 12°F
Average change in temperature per hour: 2°F
Step-by-step explanation:
The difference between high and low temperatures was: 7 - (-5) = 12 (°F)
Midnight is 12am, so 6pm to midnight is 6 hours.
The average change in temperature per hour is: 12 / 6 = 2 (°F)
Answer:
$18,726.11
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First lets change 9% into a decimal:
9% -> 
-> 0.09
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
<u>The balance after 5 years is $18,726.11</u>
Answer:
10
Step-by-step explanation:
the lowest number that 5 and 2 go into is 10 a quick way to find LCD is just to multiply the denominators and that just see if there is any smaller numbers
