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Lemur [1.5K]
2 years ago
13

A runner runs 8 miles in 92 minutes what is the runner’s unit rate?

Mathematics
1 answer:
nikitadnepr [17]2 years ago
8 0

Answer:

The runner's unit rate is 0.09 miles/minute.

Step-by-step explanation:

Given:

Distance cover by runner = 8 miles and the time taken = 92 minutes.

Now, to calculate the runner's unit rate.

We put the formula to get the unit rate:

Velocity = distance/time

v=\frac{d}{t}

v=\frac{8}{92}

v=0.0869

v = 0.09 miles/minute (approximately)

Therefore, the runner's unit rate is 0.09 miles/minute.

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3 years ago
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Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)
Fantom [35]

Answer:

Given: \sin(x) = (4/5).

Assuming that 0 < x < 90^{\circ}, \cos(x) = (3/5) while \tan(x) = (4/3).

Step-by-step explanation:

By the Pythagorean identity \sin^{2}(x) + \cos^{2}(x) = 1.

Assuming that 0 < x < 90^{\circ}, 0 < \cos(x) < 1.

Rearrange the Pythagorean identity to find an expression for \cos(x).

\cos^{2}(x) = 1 - \sin^{2}(x).

Given that 0 < \cos(x) < 1:

\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}.

Hence, \tan(x) would be:

\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}.

7 0
2 years ago
9. Ellie is making a batch of pancakes
Vikki [24]

Answer:

Step-by-step explanation:

Maybe your questions has some wrong numbers in it?  but, going by what's in your questions ,  just  1 cup of flour   :/   seems too easy

4 0
2 years ago
How do you find surface area of a triangular prism ?
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<span>(base)*(height)/2

</span>So, basically you take the face of the triangle that your trying to find the surface area of and plug in your values for the base length and height, multiply them together, hen divide that product by 2 to find your surface area :)


Thank you for the question! I hope this helped! Have an amazing day!! :D



5 0
3 years ago
How many 5-digit numbers can be formed from the integers 1, 2, ... , 9 if no digit can appear more than twice?
elena-14-01-66 [18.8K]
5 digit number with no repeats
1st digit has 9 possibilities
2nd digit has 8 possibilities
3rd digit has 7 possibilities
4th digit has 6 possibilities
5th fight has 5 possibilities
Therefore the answer is:
9 x 8 x 7 x 6 x 5 = 72 x 210 = 15,120
6 0
3 years ago
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