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3 years ago

TIMED, 100 POINTS. What is the reciprocal of TanB in the triangle below?

Mathematics

2 answers:

faltersainse [42]3 years ago

5 0

Answer:

tanA

Step-by-step explanation:

Evgesh-ka [11]3 years ago

4 0

Answer:

b) tanA

Step-by-step explanation:

The tangent is the opposite side to the angle over the side next to it.

In the case of angle B, the tangent would be the opposite side, AC, over the adjacent side, BC.

tanB = opposite/adjacent = AC/BC

The reciprocal of this would be BC/AC (this is just the fraction flipped around)

The only one that equals this would be tanA since the opposite/adjacent of that one is BC/AC.

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The number math problems Michel can solve varies directly with the amount of time he spends solving math problems. Michel can so

Mama L [17]

Answer:

40 problems

Step-by-step explanation:

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3 years ago

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What is the the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120

dem82 [27]

Answer:

27π cm²

Step-by-step explanation:

step 1

Find the area of the complete circle

The area of the circle is equal to

A=πr²

we have

r=9 cm

substitute

A=π(9)²=81π cm²

step 2

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3 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

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

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

3 years ago

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What is the product of 4/5 × 2/5

gtnhenbr [62]

Answer:

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Step-by-step explanation:

4/5 *2/5

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3 years ago

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How many vertices does the following shape have?

Nina [5.8K]

Answer:

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Step-by-step explanation:

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