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Akimi4 [234]
3 years ago
7

Find the following values from the information given cot(theta°); tan(theta°) = −0.0005

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

cot(θ°) = 2000 radians

Step-by-step explanation:

Data provided in the question:

The value of tan(θ°) = −0.0005

To solve:

cot(θ°)

Now,

we know the relation between cot and tan function as:

cot(θ°) = \frac{1}{\tan\theta}

therefore on substituting the value of theta in the above relation, we can find the value of cot(θ°)

Thus,

cot(θ°) = \frac{1}{-0.0005}

or

cot(θ°) = 2000

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The midpoint of \overline{\text{AB}}
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Answer:

<em>The coordinates of b are: B=(-7,-8)</em>

Step-by-step explanation:

We are given the coordinates of the midpoint of \overline{\text{AB}} as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

\displaystyle x_m=\frac{x_a+x_b}{2}

\displaystyle y_m=\frac{y_a+y_b}{2}

We know xa=-3 and xm=-5. Solve the first equation for xb:

2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a

Substituting:

x_b=2\cdot (-5)-(-3)=-10+3

x_b=-7

We can solve the second equation for xb and get:

y_b=2y_m-y_a

Since ya=4 and ym=-2, then:

y_b=2\cdot (-2)-(4)=-4-4

y_b=-8

Thus, the coordinates of b are: B=(-7,-8)

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

The Answer Is:

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3 0
3 years ago
Read 2 more answers
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