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2 years ago

What is the equation of the graph below?

Mathematics

2 answers:

kherson [118]2 years ago

7 0

Answer:

A. y = sine (x + 90 degrees)

Step-by-step explanation:

y = cosine(x) is a curve that crosses the y-axis at y = 1 and completes one cycle at 360 degrees.

sine(x) have the same curve than cosine(x), but translated 90° to the right respect cosine(x)

f(x + c) translates f(x) horizontally c units to the left.

Then, sine(x + 90) is equivalent to cosine(x)

lianna [129]2 years ago

4 0

Answer:

Step-by-step explanation:

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A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire

anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So, 16 inches = $\frac{1}{12}$ ×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × $\pi$ × radius

where $\pi$ = 3.14

or, circumference = 2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed = circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0

2 years ago

4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p

cricket20 [7]

Answer:

Point E is given by $\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )$

Step-by-step explanation:

Let points C and D be $(x_0,y_0),\,(x_1,y_1)$ and let point E divides it in ratio $m:n$ .

Then coordinates of point E are given by $\left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )$

Put $m:n=3:4$

Point E is given by $\left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )$

Now plot point E.

Download pptx

3 0

2 years ago

The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard deviation of 4.5 inches. Enter t

Sauron [17]

The answer is -0.4....

7 0

2 years ago

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The transportation department has to put a railing along the outer curve of this road. The road is 20 feet wide. What is the len

Dovator [93]

From my research, the image attached supports the problem. Since only the outer curve is to be solved for, the formula for arcs can be used.

s = theta*radius

where s = arc length = outer curve

theta = 70 (pi/180)
radius = 70

s = 70 * (70*pi/180)
s = 85.52 feet

Therefore, the outer curve is 85.52 feet long

6 0

2 years ago

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in germany, VAT is at 19% Jeremy buys a calculator in germny for €58.31 This price includes VAT Find the amount of VAT paid by

Len [333]

We can use this equation to solve this problem:

t=p+(p⋅r)

Where:

t is the total price paid: 58.31 for this problem

p is the price before taxes: What we are solving for in this problem.

r is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as 19100 or 0.19.

Substituting and solving for p gives:

58.31=p+(p⋅0.19)

58.31=1p+0.19p

58.31=(1+0.19)p

58.31=1.19p

58.311.19=1.19p1.19

49=1.19p1.19

49=p

p=49

Now, we can find how much the VAT was by taking 19% of 49:

19%×49=0.19×49=9.31

Another was to solve this is to subtract the price without the tax or VAT from the total price giving:

58.31−49=9.31

4 0

2 years ago

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