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Hatshy [7]
3 years ago
9

Define amplitude, period, and frequency for trig functions.

Mathematics
1 answer:
uysha [10]3 years ago
7 0
Amplitude - It is the magnitude of an oscillation. In addition, it is also used to refer to Jacobi amplitude. 

Period - The intervals where the periodic function recur.

Frequency - The number of occurrences within the given period of time.

Good luck :)
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At a school carnival, the diameter of the mat of a trampoline is 12 feet and the diameter of its metal frame is 14 feet. What is
bulgar [2K]
Find the circumference of the metal frame?

C = pi * d

Where 'd' is the diameter.

In this case, the diameter is 14, because that is the given information from the question.

Plug it in along with 3.14 for pi:

C = 3.14 * 14

C = 43.96

So it's approximately 44
5 0
3 years ago
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A new building is being constructed at UT Austin. It is 200 feet tall, and has a
Mariana [72]

Answer:

Walkway is 3 feet wide.

Step-by-step explanation:

Given:

Length of the building is 150 ft

width of the building is 100 ft

walkway is x ft wide.

Total area(around and including the building) = 16536 square feet

Solution:

Length of the total area will be = length of the building + width of walkway from 2 sides = 150 +2x

Width of the total area will be = width of the building + width of walkway from 2 sides = 100 +2x

Now Total area(around and including the building) = Length of the total area\times Width of the total area

(150+2x)\times(100+2x)=16536\\15000+300x+200x+4x^2=16536\\500x+4x^2=16536-15000\\4(125x+x^2)=1536\\125x+x^2= \frac{1536}{4}=384\\

x^2+125x-384=0\\x^2-3x+128x-384=0\\x(x-3)+128(x-3)=0\\(x-3)(x+128)=0\\

Now solving for both equation we get.

x+128=0\\x=-128\\x-3=0\\x=3

Now, We get 2 values for x which -128 and 3 but the width of the building can't be in negative value hence we will consider value of x be 3.

∴ Width of the walkway is 3 ft.

4 0
3 years ago
Read 2 more answers
Javon needs two 5 foot pieces of rope for the sides of the ladder. She needs 7 pieces of rope each 18 inches long for the steps.
garik1379 [7]

Answer:

  20 1/2 feet

Step-by-step explanation:

18 inches is 1 1/2 feet. We can add up the lengths. Remember that multiplication is used to simplify repeated addition.

  rope needed = 2×(5 ft) +7×(1 1/2) ft

  = 10 ft + 10 1/2 ft

  = 20 1/2 ft

_____

<em>Comment on the solution</em>

There are many ways you can go at the solution of this. The one you choose may depend on the kind of aritmetic you're comfortable with.

Since one of the dimensions is given in inches, and the result is required in feet, at some point you need to convert from inches to feet. It is useful to know that 12 inches equal 1 foot. That tells you that you can divide the number of inches by 12 to get the number of feet. (18 inches = 18/12 feet = 3/2 feet = 1 1/2 feet)

You can add the step lengths in inches (18 inches × 7 = 126 inches = 10 1/2 feet) or in feet (1 1/2 feet × 7 = 10 1/2 feet).

___

Since one of the dimensions involves a fraction of a foot, at some point you have to deal with arithmetic involving fractions. Here, we have assumed you know how to do that (this is college math, after all).

Modern calculators are quite versatile in the sorts of expressions they can evaluate. For mine, it would be convenient to write it as ...

  2×5+7×(18/12) . . . . would give 20 1/2

The Google search box is also a very good calculator for a variety of problems. Its use is shown below.

8 0
3 years ago
Sally was shopping for a turkey tree for Thanksgiving she looked at 48 trees. Of those she found that 7/8 of them were too small
VikaD [51]

Answer: 7 of them were too small.

Step-by-step explanation: The ratio of the amount of trees is given to help figure this out. 7 out of 8 trees were too small.

4 0
4 years ago
What percent of 45 is 135? explain your reasoning
densk [106]
X/100=135/45

x=300

The reasoning:
x represents the unknown present, which is over 100. 45 represents the whole, where as 135 is the part. Therefore, if you solve this proportion, x will equal 300%.
4 0
4 years ago
Read 2 more answers
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