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2 years ago

In circle C with m BCD = 62 and BC = 12 units find area of sector BCD.

Mathematics

1 answer:

Valentin [98]2 years ago

5 0

Answer:

a = 77.91 units²

Step-by-step explanation:

a = (∅/360) * πr²

a = (62/360) * π(12²)

a = (62/360) * 3.14159(144)

a = 77.91 units²

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What is the solution for the equation StartFraction 5 Over 3 b cubed minus 2 b squared minus 5 EndFraction = StartFraction 2 Ove

wolverine [178]

Answer:

The solutions are:

$b=0,\:b=4$

Step-by-step explanation:

Considering the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

Solving the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

$\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$5\left(b^3-2\right)=\left(3b^3-2b^2-5\right)\cdot \:2$

$5b^3-10=6b^3-4b^2-10$

$\mathrm{Switch\:sides}$

$6b^3-4b^2-10=5b^3-10$

$6b^3-4b^2-10+10=5b^3-10+10$

$6b^3-4b^2=5b^3$

$\mathrm{Subtract\:}5b^3\mathrm{\:from\:both\:sides}$

$6b^3-4b^2-5b^3=5b^3-5b^3$

$b^3-4b^2=0$

$Using\:the\:Zero\:Factor\:Principle:$ $if\:\mathrm ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

So,

$b=0,b-4=0$

$b=0,b=4$

Therefore, the solutions are:

$b=0,\:b=4$

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3 years ago

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3 years ago

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Olegator [25]

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3 years ago

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Reil [10]

Answer: 1/5
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3 years ago

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From a distance of 42 feet from the base of a building, the angle of elevation to the top of the building is 67 degrees. Estimat

Nataliya [291]

A diagram would surely help here. But imagine that you stand at spot A and someone finds that your distance from the base of the building is 42 feet. Call this point B.

Imagine a vertical line from that spot, straight up. Label the top of this line C.

The acute angle at A is 67 degrees. You want to find the height of the building, which would be the length of the "opposite side of triangle ABC."
The length of the "adjacent side of triangle ABC" would be 42 feet.

We don't know the length of the hypotenuse, altho' we could easilyl calculate it using the Pyth. Them.

We choose the tangent function to solve for the height of the building (which is the length of the opposite side.

height
By definition, tangent (67 degrees) = -------------------------------------
42 feet

Find tan 67. Multiply your result by 42 feet. This product is the height of the building.

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3 years ago