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3 years ago

A sector of a circle has central angle θ=5π/6 and area 15π ft2. Find the radius of this circle.

Mathematics

1 answer:

Natali [406]3 years ago

6 0

5pi/6 r^2 = 15pi

R^2 = 18

R= 3sqrt(3)

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One ounce is approximately 28.3 grams. Write a direct variation equation that relates x ounces to y grams.

Dmitry_Shevchenko [17]

Answer:

15 oz

Step-by-step explanation:

5 0

3 years ago

What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

The correct question is

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

Verify

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

5 0

3 years ago

Find the 4th term Thank you in advance

shepuryov [24]

B1 = 2
b2 = (b1)^2 + 1 = 2^2 + 1 = 5
b3 = (b2)^2 + 1 = 5^2 + 1 = 26

b4 = (b3)^2 + 1 = 26^2 + 1 = 676+1=677

7 0

3 years ago

Read 2 more answers

Perform the indicated operation. (-50) ÷ (-2) 48 -48 -25 25

mezya [45]

Answer:

Step-by-step explanation:

Remember that multiplication and division will result in a positive number if no or two negative signs are present. So here, you ignore the negative signs.

All you really have to do is divide 50 by 2, which results in 25.

7 0

3 years ago

Read 2 more answers

Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew

Elena L [17]

Answer:

Simple, Her Pentagon is not straight

Step-by-step explanation:

Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.

Hope this helps ^

7 0

3 years ago