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Damm [24]
3 years ago
7

What is the value of x? sin(x+34)°=cos(2x+20)° Enter your answer in the box. x =

Mathematics
1 answer:
masha68 [24]3 years ago
4 0

Answer:

The correct answer is -9.73°.

Step-by-step explanation:

The procedure is:

sin(x + 34)°=cos(2x+20)°

⇒ tan\frac{x+34}{2x+20} = 1 ; [assuming cos (2x+20)° \neq0]

⇒ x + 34 = 45 × ( 2x +20)

⇒ x + 34 = 90x + 900

⇒ 89x = -866

⇒ x = -9.73

and also 2x + 20 = 90° ⇒ x = 35°; but this does not satisfy the given equation.

Therefore the value of x is given by -9.73°.

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Use implicit differentiation to find y^1 for the equation y^2-y-4x=0
Rudik [331]

Answer:

Step-by-step explanation:

y²-y-4x=0

differentiate w.r.t. x

2y*y^1-y^1-4=0

(2y-1)y^1=4

y^1=4/(2y-1)

3 0
3 years ago
The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 75 mi
jeka57 [31]

Answer:

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

Uniformly distributed over the interval 40 to 75 minutes.

This means that a = 40, b = 75

It is known that the cycle time exceeds 45 minutes

This means that we can use a = 45

What is the probability that the cycle time exceeds 50 minutes?

P(X > 50) = \frac{75 - 50}{75 - 45} = 0.8333

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

8 0
3 years ago
Round to the nearest thousand . Use the number line to model your thinking
ivolga24 [154]

Answer:

Step-by-step explanation:

the line grath is your answer

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8 0
3 years ago
How do I find the indicated derivative?
sergey [27]
Multiply the fraction by both things in the parenthesis.
8 0
3 years ago
Solve:<br>3 = -2v - V<br>V=​
Y_Kistochka [10]

Answer:

V = −1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3=−2v−v

3=−2v+−v

3=(−2v+−v)(Combine Like Terms)

3=−3v

3=−3v

Step 2: Flip the equation.

−3v=3

Step 3: Divide both sides by -3.

<u>−3v</u>  = <u>3</u>

-3     -3

v=−1

4 0
3 years ago
Read 2 more answers
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