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KiRa [710]
2 years ago
11

If the circumference of the circle below is 90, what is the length of the minor arc)? 609 A. 90 B. 15 C. 30 D. 10

Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0

Answer:

arc XY = 15 units

Step-by-step explanation:

<u>GIVEN :-</u>

  • Angle subtended by arc XY at center = 60°
  • Circumference of the circle = 90 units.

<u>TO FIND :-</u>

  • Length of XY

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

Length of arc of the sector = \frac{\theta}{360} \times (Circumference \: of \: the \: circle) where θ is the angle subtended by arc of the sector at the center of the circle.

<u>SOLUTION :-</u>

XY = \frac{60}{360} \times 90 = \frac{90}{6} = 15

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Answer:

x = -4/45

Step-by-step explanation:

180x=2(30÷3)+17-5•11+2÷1

We need to simplify the right hand side.  The first step is the parentheses

180x=2(10)+17-5•11+2÷1

Then multiply and divide, working left to right from the equals sign.

180x=20+17-5•11+2÷1

180x=20+17-55+2÷1

180x=20+17-55+2

Now we add and subtract  working left to right from the equals sign.

180x=37-55+2

180x =-18+2

180x = -16

Divide each side by 180

180x/180 = -16/180

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3 years ago
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2 years ago
In the year 2000,there were 8.7 deaths per 1000 reidents in the United States.If there were 281,421,906 residents in the U.S.dur
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serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

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