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2 years ago

The radius of circle O is 28, and OC =9. What is the length of AB?

1 answer:

7 0

The answer:
the complement of the question proposed one of the choices given beneath:
a) 58.8
b) 53.0
c) 29.4
d) 26.5

as we observe at the figure, AOB an isosceles triangle, and OCB is a right triangle

consider OCB
OC =9, OB= radius = 28
the problem is how to find the length of CA, for that C is a midpoint of segment AB, so AC=BC

BC can be found by using pythagorean theorem
OB²= OC² + CB², this implies CB² = OB² - OC²

CB² = 28² - 9² = 784 - 81=703, therefore CB= sqrt (703)=26.51

CB=26.51, since CB= AC, so AC=CB= 26.51

finally the <span>the length of AB is AB = 2 x CB = 2x AC= 2x 26.51= 53.0
</span>
the answer is b) 53.0

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Which equation represents a line which is parallel to the line x-8y=48 x−8y=48?

Daniel [21]

When the slopes of two lines are equal,they are parallel.
$x - 8y = 48 \\ - 8y = - 1x + 48 \\ y = \frac{1}{8}x + 6$
so the equation of the parallel line to this one is :
$y = \frac{1}{8} x$
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3 years ago

What are the solutions to the quadratic equation (5y + 6)2 = 24? y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 End

Paladinen [302]

Answer:

there are two solutions:

a) $y=\frac{-6+2\sqrt{6} }{5}$ , and

b) $y=\frac{-6-2\sqrt{6} }{5}$

Step-by-step explanation:

In the equation: $(5y+6)^2=24$ , since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:

$(5y+6)^2=24\\\sqrt{(5y+6)^2} =+/-\sqrt{24} \\(5y+6)=+/-\sqrt{6*4} \\(5y+6)=+/-2\sqrt{6}\\5y=-6+/-2\sqrt{6}\\y=\frac{-6+/-2\sqrt{6} }{5}$

Therefore there are two solutions:

a) $y=\frac{-6+2\sqrt{6} }{5}$ , and

b) $y=\frac{-6-2\sqrt{6} }{5}$

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2 years ago

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Jenny uses 2 cups of paint in 4 hours to paint a portrait. How many cups does she use in 30 minutes?

n200080 [17]

Answer: 0.25 Cups. Step-by-step explanation: First divide. 4/4 and 2/4. So now you have that she used 0.5 cups in an hour. Now divide it in half. 0.5/2 which is 0.25.

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2 years ago

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Using the segment addition postulate find the length of segment EF

olga55 [171]

Answer:

Step-by-step explanation:

DE+EF=DF

Subsitue thise x values for DE, and DF

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2 years ago

The product of -8 and x is -96.

velikii [3]

-96 divided by -8 = 12
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Since you're looking for the product, you divide the two numbers you have.

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3 years ago