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umka2103 [35]
3 years ago
9

In June, a runner ran a mile in 7:45. In September, the runner ran a mile in 5:51. what is the percent of change

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0
100 / 7.45 = 13.422818791... (7.45 x that number = 100)
13.422818791... x 5.51 = 73.9597315436... (makes 5.51 equal to 7.45, if you know what I mean)
100 - 73.9597315436 = 26.040268456...% (difference between 100(7.45) and 73.95...(5.51)) 
Answer - 26.040268456%
This is my answer. I THINK it is correct but I do not guarantee it. enjoy! 
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Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)
Natasha_Volkova [10]

Answer:

\sin(\frac{\pi}{7}+x)

Step-by-step explanation:

We are going to use the identity

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)

because this identities right hand side matches your expression where

a=\frac{\pi}{7} and b=x.

So we have that \sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x) is equal to \sin(\frac{\pi}{7}+x).

5 0
3 years ago
Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $800. The store has a sale
klio [65]

Answer:

700 dollars.

Step-by-step explanation:

The sale price is basically the new price of the bycicle. Therefore, is all bycicles cost 7/8 of their normal value, \frac{7}{8} (800)=700. So during this sale at the sporting goods store, the bycicle would cost 700 dollars.

7 0
2 years ago
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borishaifa [10]

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6 0
2 years ago
*PLEASE ANSWER* What is the area of minor sector AOB?
scoray [572]
<h3>Answer: Approximately 13 square units (choice B)</h3>

===========================================================

Explanation:

The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB

angle AOB = 360 - 215 = 145

angle AOB = 145 degrees

We'll use this later.

Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.

The area of the circle is

A = pi*r^2

A = pi*(sqrt(10))^2

A = 10pi

This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB

area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)

area of sector AOB = (145/360)*10pi

area of sector AOB = 145pi/36

area of sector AOB = 145*3.14/36

area of sector AOB = 12.647 approximately

area of sector AOB = 13 square units approximately, after rounding to the nearest whole number

3 0
3 years ago
What is the polynomial of 3,4
Sav [38]

The degree of a polynomial is the highest power of x in its expression. Constant (non-zero) polynomials, linear polynomials, quadratics, cubics and quartics are polynomials of degree 0, 1, 2 , 3 and 4 respectively. The function f(x)=0 is also a polynomial, but we say that its degree is 'undefined'.



7 0
3 years ago
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