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yarga [219]
3 years ago
5

Using complete sentences, compare the key features and graphs of sine and cosine. What are their similarities and differences?.

.
Using these similarities and differences, how would you transform f(x) = 2 sin(2x - π) + 3 into a cosine function in the form f(x) = a cos(bx - c) + d?
Mathematics
1 answer:
jasenka [17]3 years ago
5 0
So the functions are simply the same but the only different among them is when sin x and cos x is shifted by pi/2 as compared to cos x. I hope you are satisfied with my answer and feel free to ask for more if you have questions and clarifications 
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A number is taken away from 40 and the result is 45 What is the number?​
hammer [34]

Answer:

-5

Step-by-step explanation:

<u>Given that , </u>

  • A number is taken away from 40 and the result is 45 .

<u>L</u><u>et </u><u>:</u><u>-</u><u> </u>

  • The required number be x .

<u>According</u><u> to</u><u> Question</u><u> </u><u>:</u><u>-</u><u> </u>

:\implies 40 - x = 45

:\implies - x = 45 - 40

:\implies - x = 5

:\implies x = -5

<h3>Hence the required answer is -5 .</h3>
7 0
3 years ago
Solve equation a+6a-9=30
joja [24]
To solve any equation, we have to get the variables and the constants (numbers) on opposite sides of the equals sign.  

First, we have to combine the like terms on the left side of the equation, resulting in

7a - 9 = 30

Then, because we want the constants on the right side of the equation, we have to +9 to cancel out the -9 on the left side.

7a=39

Next, the a has a coefficient of 7, which it is multiplied by.  To undo multiplication, you have to divide.  Therefore, we should divide both sides by 7.

a= 5 4/7 or 5.57142857143

In improper fraction form, a = 39/7, as this fraction cannot be simplified any farther.
3 0
3 years ago
Which expression is equal to 5/(sqrt)11?
horrorfan [7]

Answer:

Option A is correct

the expression is equal to \frac{5}{ \sqrt{11}} is \frac{5\sqrt{11}} {11}

Explanation:

Given expression is, \frac{5}{ \sqrt{11}}

Multiply and divide by the denominator by \sqrt{11} in the given expression, we have,

\frac{5}{\sqrt{11}} \times \frac{\sqrt{11}} { \sqrt{11}}

or

\frac{5 \cdot \sqrt{11}} {\sqrt{11} \cdot \sqrt{11}}

use : \sqrt{a}\cdot\sqrt{a}=(\sqrt{a} )^2 = a

then;

\frac{5\sqrt{11}} { (\sqrt{11})^2} =\frac{5\sqrt{11}} {11}

Therefore, the expression is equal to \frac{5}{ \sqrt{11}} is, \frac{5\sqrt{11}} {11}


8 0
3 years ago
Read 2 more answers
The length of a rectangle is twice its width. if the perimeter of the rectangle is 48 yd , find its area.
Katarina [22]
X = width
2x = length

2x + 4x = 48
6x = 48
x = 8
2x = 16

8*16 = 128

Your answer should be that the area is 128 square yards. Hope this helps!
7 0
3 years ago
Consider the NASCAR race, the Indianapolis 500. Its name refers to the total race distance of 500 miles. There are 44 cars are r
lukranit [14]

Answer: $5289.35

Step-by-step explanation:

Since the cars have an average mileage of 6.78 miles per gallon and the race is 500 miles, the number of gallons each car will take will be:

= 500/6.78

= 73.75 gallons

Since they're 44 cars, the total gallons of fuel will be:

= 44 × 73.75

= 3245 gallons

Since the fuel cost is $1.63 per gallon, the total fuel cost, will be:

= $1.63 × 3245

= $5289.35

8 0
3 years ago
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