A bike ramp has a slope of 1/4. What is the angle the ramps makes with the ground to the nearest degree?

Answers

Answer 1

Answer:

The slope is equivalent to the rise over run. Since the slope of the bike ramp is ¼, the rise is equivalent to 1 and the run is equivalent to 4. To get the angle of the bike ramp make with the ground, let us use the equation tanθ= rise/run.

Therefore, tanθ= ¼.

Θ=tan-1 (1/4)

So the angle of the bike ramp is Θ= 14degrees

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Compute the permutations and combinations.From a committee consisting of 5 men and 6 women, a sub-committee is formed consisting of 4 men and 3 women. How many different subcommittees are possible?

100
360
600

Answers

100

From 5 men you can form 5x4x3x2 /(4!) different committes of 4 men = 5 different committes.

From 6 women, you can form 6x5x4 / (3!) different committes of 3 women = 20 different committes.

Total combinations: 5 x 20 = 100.

If prizes for a carnival are priced at 5 for 80 cents. how much would 250 prices cost?

Answers

ratio and proprtion
number of prized to price is 5 to 80 or 5/80 which can be simplified to 1/16
1 price to 16 cents equals 250 prizes to x cents
1/16=250/x
times both sides by 16x aka cross multiply
x=250*16
x=4000 cents or $40 for 250 prizes

0.3125 can be written in the form p/q as

Answers

We need to write 0.3125 in fraction form

First we remove the decimal

WE have 4 numbers after the decimal so we divide by 10000

$0.3125 = (0.3125* 10000)/(1*10000) = (3125)/(10000)$

Both numerator and denominator ends at 0 and 5

so we divide both top and bottom by 5

$(3125)/(10000) = ( (3125)/(5))/((1000)/(5)) = (625)/(2000)$

Again divide both numerator and denominator by 5

$(625)/(2000) = ( (625)/(5))/((2000)/(5)) = (125)/(400)$

Again divide by 5

$(125)/(400) = ( (125)/(5))/((400)/(5)) = (25)/(80)$

Again divide by 5

$(25)/(80) = ( (25)/(5))/((80)/(5)) = (5)/(16)$

$0.3125 = (5)/(16)$

$0.3125 = (3125)/(10000) = (3125 / 625 )/(10000 / 625) = (5)/(16)$

Solve this problem using estimation.The Cimarron Middle School orchestra sold $8720.00 worth of candy bars in 28 days. About how much did they make each day?

Answers

If they sold $8,720.00 worth of candy bars in just 28 days, that means they have approximately sold $311.43 worth of candy bars each day.

What is the range of the function below in set builder notation? y=|x-3|

Answers

Answer: $\{y | \ y \in \mathbb{R}, \ y \ge 0\}$

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.

Cos theta = -5/6
180° <0<270°

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Answer:choccy milk solve all yo problems

pop a choccy milk

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