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2 years ago

Solve the linear equation 5x-10y=-5

Mathematics

1 answer:

Alexxx [7]2 years ago

7 0

ANSWER WITH STEPS:

Let's solve for x.

5x−10y=−5

Step 1: Add 10y to both sides.

5x−10y+10y=−5+10y

5x=10y−5

Step 2: Divide both sides by 5.

10y−5

x=2y−1

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The circle with center O has a minor arc BSA with a length of

tangare [24]

Answer:

D. $\frac{27\pi}{2}$ inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of $3\pi^{2}$ inches. The central angle is 40°.

To find the circumference of circle we will use formula:

$\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}$ , where $2\pi$ = measure of 360 degrees in radians and $2\pi r$ = circumference of circle.

Let us convert measure of central angle into radians.

$40^{o}=\frac{40*\pi}{180} =\frac{2\pi}{9}$

Upon substituting our given value in the formula we will get,

$\frac{\frac{2\pi}{9}}{2\pi}=\frac{\frac{3\pi}{2}}{2\pi r}$

$\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}$

$\frac{1}{9}=\frac{3}{4r}$

Cross multiplying we will get,

$4r=27$

$r=\frac{27}{4}$

Hence, the radius of our circle is 27/4 inches.

Since the circumference of circle is $2\pi r$ . Upon substituting $r=\frac{27}{4}$ we will get,

$2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}$

Therefore, circumference of our given circle will be $\frac{27\pi}{2}$ inches and option D is the correct choice.

6 0

2 years ago

Find the surface area of a solid cylinder with radius 2m and length 6m ( famula)π=3.14

Softa [21]

Answer:

100.544m

Step-by-step explanation:

Surface area of a cylinder = 2pie x rh + 2pie x r² where pie = 3.142

Therefore, (2x3.142x2x6) + (2x3.142x2²) =100.544m

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2 years ago

dennis ran a mile in 593.7 seconds.martina ran a mile in 573.36 seconds. what was the difference in their running times? A-5.14

Svetlanka [38]

subtract them

593.7-573.36 = 20.34seconds

so c is the answer

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3 years ago

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I need help answering the question

lesya [120]

Answer:

i hope its clear !

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2 years ago

What is the measure of angle X?<br> Enter your answer in the box

LuckyWell [14K]

So all angles within a triangle should add up to 180, 102+31= 133 then subtract. 180-133=47
X-47

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3 years ago