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mart [117]
3 years ago
6

Find the length of the highlighted arc. Round your answer to the nearest tenth. *

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

Answer:

Approximately 23.6

Step-by-step explanation:

So first find the fraction of the whole circumference the arc is.

270 ÷ 360 = 0.75

The circumference is 10π

0.75 * 10π = 7.5π

7.5π = 23.5619449019 ≈ 23.6

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Combine the like terms to create an equivalent expression.<br> 4r+14−r−6
Maksim231197 [3]

Answer:

3r+8

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Both lines pass through the point (-3,-4). one has a slope of 4 and the other has a slope of -1/4
Alchen [17]
If the question is to find the slope-intercept form of both lines, here's the answer:
Both lines pass through the point (-3,-4), so we can use these coordinates in both equations. The slope-intercept form is represented by y=mx+b, with m the slope, b the intersection of the line with Y'Y for x=0, y and x the coordinates of a point.
Let's first apply all these for the first line, with a slope of 4.
y = mx + b
y=-3; x=-4; m=4. All we need to do is find b.
-3 = 4(-4) + b
-3 = -16 + b
b=13
So the equation of the first line is y= 4x + 13.

Now, we'll do the same thing but for the second line:
y=-3; x=-4; m=-1/4, and we need to find b.
-3 = (-1/4)(-4) + b
-3 = 1 + b
b= -4
So the equation of the second line is y=(-1/4)x - 4

Hope this Helps! :)
3 0
3 years ago
Please Help!!
expeople1 [14]

A = P(1 + rt)

Where:

<span>·         </span>A = Total Accrued Amount (principal + interest)

<span>·         </span>P = Principal Amount

<span>·         </span>I = Interest Amount

<span>·         </span>r = Rate of Interest per year in decimal; r = R/100

<span>·         </span>R = Rate of Interest per year as a percent; R = r * 100

<span>·         </span>t = Time Period involved in months or years

A = 15,000(1+ 0.07(5))

A = 20,250 they acquired in total for 5 years

The yearly amount the get is 15,000 xx 0.07 = $ 1050 per year

So in the next 25 years addition of 1050x25 = $26250 they will get

7 0
3 years ago
What is the solution of log4(2x-6)=2
Flauer [41]

Answer: x=11

Step-by-step explanation:

Remembert that, by definition:

log_b(x)=y → b^y=x

Then, you can rewrite log_4(2x-6)=2 in exponential form:

4^2=2x-6

Now you can solve for the variable "x":

Add 6 to both sides of the equation:

4^2+6=2x-6+6

22=2x

And finally you must divide both sides of the equation by 2, then:

\frac{22}{2}=\frac{2x}{2}\\\\x=11

3 0
3 years ago
You are paid 1.5 times your normal hourly rate for each hour you work over 30 hours in a week. You work 33 hours this week and e
erma4kov [3.2K]

The normal hourly rate is <u>$17.24</u>.

In the question, we are given that we are paid 1.5 times our normal hourly rate for each hour we work over 30 hours in a week.

We are asked to find the normal hourly rate if we work for 33 hours this week and earned $594.78.

We assume the normal hourly rate to be $x.

While working for 33 hours, we work 33 - 30 = 3 extra hours.

Thus, we are paid at the normal hourly rate of $x for 30 hours and at 1.5 times the normal hourly rate, which is $1.5x for the additional 3 hours.

Thus, the total earning can be shown as $x*30 + $1.5x*3 = $(30x + 4.5x) = $34.5x.

But, we are given that the total earnings for the week after working for 33 hours is $594.78.

Thus, we can equate the two to get an equation, 34.5x = 594.78, which on solving gives us x = 17.24.

Thus, the normal hourly rate is <u>$17.24</u>.

Learn more about the normal hourly rate at

brainly.com/question/18800313

#SPJ9

6 0
1 year ago
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