Answer:
-5
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
-35 = -(7×5) = 7×(-5)
Then comparing to the given equation, you realize ...
t = -5
_____
Or, you can recognize 7 as the coefficient of t and divide both sides of the equation by that:
-35/7 = (7t)/7
-5 = t
Sin(angle) = Opposite leg / Hypotenuse
Angle = 8 degrees
Opposite leg = 2.3 feet
Sin (8) = 2.3 ft. / Z
Z = 2.3 / sin(8)
Z = 16.5 feet
Answer:
2.65
Step-by-step explanation:
Using a calculator's square root key, we get √7 = 2.64575....
To the nearest hundredth, that'd be √7 = 2.65.
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.
Answer:
30th term of the sequence is -19
Step-by-step explanation:
first term = 10
common difference = 9- 10 = -1
so, nth term = a + (n-1) d
( where n is number of term, a = first term ,
d = common difference. )
- 30th term = 10 + (30-1) × -1
- 30th term = 10 - 29
- 30th term = -19
<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em>
