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timurjin [86]
3 years ago
13

In circle Y, what is mTU?

Mathematics
2 answers:
Dima020 [189]3 years ago
7 0

Answer:

The measure of the arc TU will be equal to 71°.

Step-by-step explanation:

We know that the measure of the interior angle is half the sum of the arcs that comprise it and is opposite to it, therefore

63=\frac{1}{2}(arcSR+arcTU)

⇒126=55+arcTU

⇒126-55=arcTU

⇒arcTU=71°

Therefore,the measure of the arc TU will be equal to 71°.

Marat540 [252]3 years ago
4 0

we know that

The measure of the interior angle is the half-summit of the arcs that comprise it and its opposite

so

63=\frac{1}{2} *(arc \ SR+arc\ TU)\\ \\ 126=55+arc\ TU\\ \\ arc\ TU=126-55\\ arc\ TU=71\ degrees

therefore

the answer is

the measure of arc TU is equal to 71\ degrees

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If the area of a circle is 20.4 units squared, what is the radius?
dmitriy555 [2]

Answer:

r = 2.55

Step-by-step explanation:

The formula for finding the radius of a circle using the area is r = √A/π

with the r being the radius. the A being the area, and the π being pi (we'll use 3.14).

So the equation should look like this:

r = √(20.4/3.14)

Find the quotient of 20.4/3.14 and round to the nearest tenth

r = √6.5

Find the square root and round to the nearest hundredth

r = 2.55

6 0
3 years ago
Write the equation for the line whose slope is -1/4 and goes through the point (-2,6)​
Kryger [21]

Answer:

y = -\frac{1}{4} + \frac{11}{2}

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

6 = -\frac{1}{4}(-2) + b               multiply -\frac{1}{4} and 2

6 = \frac{1}{2} + b                         subtract \frac{1}{2} from both sides

b = \frac{11}{2}

now we plug m and b into the equation and leave x and y as variables to get the final equation:

y = -\frac{1}{4} + \frac{11}{2}

8 0
3 years ago
PLEASE HELP 30 POINTS!!!!!!!!!!!!!!!!!!!!!!!
Anettt [7]

Since you know the value of "x", you can plug in the value for "x" in the equation.

[When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.]

For example:

x^{-2}  or  \frac{x^{-2}}{1} =\frac{1}{x^2}

\frac{1}{y^{-3}} =\frac{y^3}{1}  or  y³


x = -2

f(x) = 9x + 7

f(-2) = 9(-2) + 7 = -18 + 7 = -11


g(x)=5^x

g(-2)=5^{-2}=\frac{1}{5^2}=\frac{1}{25}   (idk if you should have it as a decimal or a fraction)



x = -1

f(x) = 9x + 7

f(-1) = 9(-1) + 7 = -9 + 7 = -2


g(x)=5^x

g(-1)=5^{-1}=\frac{1}{5}



x = 0

f(x) = 9x + 7

f(0) = 9(0) + 7 = 7


g(x)=5^x

g(0)=5^0=1



x = 1

f(x) = 9x + 7

f(1) = 9(1) + 7 = 9 + 7 = 16


g(x)=5^x

g(1)=5^1=5



x = 2

f(x) = 9x + 7

f(2) = 9(2) + 7 = 18 + 7 = 25


g(x)=5^x

g(2)=5^2=25



You need to determine the solution of f(x) = g(x)

Since you know f(x) = 9x + 7 and g(x)=5^x, you can plug in (9x + 7) for f(x), and (5^x) into g(x)


f(x) = g(x)

9x+7=5^x   You can plug in each value of x into the equation


Your answer is x = 2 because when you plug in 2 for x in the equation, you get 25 = 25

5 0
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A farmer plants 0.6 of a field with peanuts. The field is 5.6 acres in size. How many acres are planted with peanuts?
dsp73

Answer:

3.36 acres

Step-by-step explanation:

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3 years ago
8. Amada buys 4 cans of paint and
notka56 [123]

Answer:

can i see a picture to understand it better then step by step it out to you? thank you ~shay

Step-by-step explanation:

4 0
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