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sladkih [1.3K]
3 years ago
8

A ramp was built by the loading dock. The height of the loading platform is 4 feey. Determine the length of the ramp if it makes

a 32° angle with the ground. .
Mathematics
1 answer:
Yanka [14]3 years ago
8 0
Length is then the hypotenuse of the triangle. So sin(32)=4/length. Then length=4/sin(32). use a calculator to solve
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If ABCDE is translated 7 units to the right and 2 units up, what will happen to the polygon?
Natali [406]
It will move but won't change shape or size.
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3 years ago
Determine, using the intermediate value theorem, if the function F(x)=x^3+2x-1 has a zero on the interval [0,1]. Justify your an
SSSSS [86.1K]

Plug x = 0 into the function

f(x) = x^3 + 2x - 1

f(0) = 0^3 + 2(0) - 1

f(0) = -1

Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.

Repeat for x = 1

f(x) = x^3 + 2x - 1

f(1) = 1^3 + 2(1) - 1

f(1) = 2

This result is positive.

---------------------------

We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.

To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515

7 0
3 years ago
There are 550 people at the school carnival.
Svet_ta [14]

Answer:

70% of the people at the fair are students

165 people are on the ride

Step-by-step explanation:

In order to find a percentage, take the fraction given, 385/550, and divide the numerator, 385, and divide it by the denominator, 550. Once completing this, we get 0.7

Next, we multiply the result by 100, and get 70, thus, 385 is 70% of 550.

To find how many people 30% of 550 is, we take the percentage and put it in a fraction with the denominator being 100(changes with size of fraction like a decimal, 300 would be over a denominator of 1000)

With 30/100, we then multiply by 550 with the equation looking like this:

30/100*550/1

Once we finish multiplying(typically using a calculator, although you can do it manually) we get 165, the value of how many people are on rides out of the total 550.

4 0
3 years ago
Delia drives 220 km in 2 hours. Calculate her average speed in km/hrs.
alexira [117]
110 because avg speed is total distance over total time
8 0
3 years ago
Select the quadratic function that corresponds to each graph below
ozzi
C B A are the orders of the answers
5 0
3 years ago
Read 2 more answers
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