Answer:
Acute Triangle
Step-by-step explanation:
<u><em>Angles in a triangle add up to 180 degrees.</em></u>
So,
x+2x+2x = 180
=> 5x = 180
Dividing both sides by 5
=> x = 36
<u><em>So, The lengths are:</em></u>
=> 36
=> 72
=> 72
<em><u>Since all the angles are less than 90 degrees, It is an acute triangle.</u></em>
I would convert from feet to inches and say an 9 in long board is cut.
Now just divide 9 by 6
9/6=1.5 inches
Answer:
if the 3 is an exponent, then it is 4 bc 4 to the power of 3 is 64
Step-by-step explanation:
x3=64
Step 1: Take cube root.
x=(64)(13)
x=4
Answer:
x=4
The answer is 8
Here's why:

The exponents are subtracted one from another when divided.

We can look at the problem this way:

Since we have the power of -1 on the 3, we apply this rule:

Also this rule because we have the power of 1 on the 6:

Then we get this:

We apply the rule:

We get this:
Answer:
23.52 miles
Step-by-step explanation:
Let us find the number of miles that they would have run.
Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.
Let the time she has spent so far be t.
Speed is given as:
s = d / t
where d = distance and t = time
=> d = s * t
Therefore, for Kana:
d = 7 * t = 7t _____________(1)
Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.
25 minutes = 25/60 hour = 0.42 hour
So, his time (compared to Kana's) is t - 0.42.
therefore, for Ji-Hun:
d = 8 * (t - 0.42)
=> d = 8t - 3.36 ____________(2)
Equating (1) and (2):
7t = 8t - 3.36
=> 8t - 7t = 3.36
t = 3.36 hours
Therefore, let us find d:
d = 7 * 3.36 = 23.52 miles
So, Ji-Hun will catch up to Kana after 23.52 miles.