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Dafna11 [192]
3 years ago
5

Find cos x if sin x cot x = 0.5.

Mathematics
2 answers:
I am Lyosha [343]3 years ago
8 0

Answer:

Choice A is correct.

Step-by-step explanation:

We have given that:

sin x cot x = 0.5.

We have to find the value of cos x .

As we know that cot x is the ratio of cos x and sin x.

cot x = cos x / sin x.

We have,

sin x (cos x / sin x) = 0.5.

cos x = 0.5

cos x = 0.5 is the answer.

sergiy2304 [10]3 years ago
4 0

Answer:

Choice A

Step-by-step explanation:

We are given;

sinxcotx=0.5

but we know that;

cotx=\frac{1}{tanx}=\frac{cosx}{sinx}

Substituting the last expression in place cot x yields;

sinx*\frac{cosx}{sinx}=0.5\\ cosx=0.5

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Write the Slope- Intercept equation of the line that passes through the given point and is perpendicular to the given line (0, -
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y+4=-3(x+0) or y=-3x-4

Step-by-step explanation:

so you have to make it in form y=mx+b

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3 years ago
At a certain time of day, a 30-foot building casts a 10 foot shadow. How tall is a person who casts a 2 foot shadow?
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Answer:

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47. A car travels at a constant speed of 50 miles per hour.
SIZIF [17.4K]

Answer:

The inverse of the given function is $t(d)=\frac{d}{50}$. The time taken to travel 180 miles is 3.6 hours.

Step-by-step explanation:

It is given that a car travels at a constant speed of 50 miles per hour. A function for distance traveled is also given as d(t)=50t.

It is required to find the inverse of the function by expressing the time travel in terms of distance traveled and also find t(180).

To find the inverse, express time traveled in terms of distance traveled using normal algebraic methods and then substitute 180 for t and explain its results.

Step 1 of 2

The given function is d(t)=50t.

Consider d(t) as d and t as t(d) and rewrite the equation.

The rewritten function is d=50 t(d)

Divide by 50 on both sides of the equation.

$$\begin{aligned}&d=50 t(d) \\&\frac{d}{50}=\frac{50 t(d)}{50} \\&t(d)=\frac{d}{50}\end{aligned}$$

Step 2 of 2

Substitute 180 for $t$ in the simplified expression and interpret the results.

$$\begin{aligned}&t(d)=\frac{d}{50} \\&t(d)=\frac{180}{50} \\&t(d)=3.6\end{aligned}$$

The time taken to travel 180 miles is 3.6 hours.

3 0
2 years ago
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