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4 years ago

Use the graph to answer the questions

Mathematics

2 answers:

Crank4 years ago

8 0

Julio began at a 4 mile elevation. Kathy began at 0 elevation. Kathy made it to 8 miles first. Kathy experienced a greater elevation change. Hope that helps :)

blsea [12.9K]4 years ago

8 0

Answer:

Julio began at a 4 mile elevation. Kathy began at 0 elevation. Kathy made it to 8 miles first. Kathy experienced a greater elevation change

Step-by-step explanation:

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From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is

goldfiish [28.3K]

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

8 0

3 years ago

What is the range of f(x)=1/7(9)^x

Phantasy [73]

The Rnge of f(x)=1/7(9)^x is 0 to infinty
y|y>0

4 0

3 years ago

given: sin theta= 2/3 and theta is in the second quadrant; evaluate the following expression. sin2theta

andre [41]

The value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

<h3>Sine ratio </h3>

The sine ratio is given as:

$\sin(\theta) = \frac23$

<h3>Trigonometry</h3>

In trigonometry, we have the following ratio

$\sin^2(\theta) + \cos^2(\theta) = 1$

Substitute $\sin(\theta) = \frac23$ in the above equation

$\frac 23 + \cos^2(\theta) = 1$

Collect like terms

$\cos^2(\theta) = 1 -\frac 23$

Evaluate

$\cos^2(\theta) =\frac 13$

Take square roots

$\cos(\theta) =\pm\frac 1{\sqrt 3 }$

Rationalize

$\cos(\theta) =\pm\frac {\sqrt 3 }3$

From the question, $\theta$ is in the second quadrant, and cosine is negative.

So, we have:

$\cos(\theta) =-\frac {\sqrt 3 }3$

In trigonometry, we have:

$\sin(2\theta) = 2\sin(\theta)\cos(\theta)$

So, we have:

$\sin(2\theta) = 2\times \frac 23 \times -\frac {\sqrt 3 }3$

$\sin(2\theta) = -\frac {-4\sqrt 3 }9$

Hence, the value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

Read more about trigonometry ratios at:

brainly.com/question/10417664

7 0

2 years ago

Which expression is equivalent to

Pachacha [2.7K]

Answer:

5(9x+23)

Step-by-step explanation:

45x+115

5(9x+23)

7 0

3 years ago

Wayne Webster is a teacher who makes $45,500 per year. His school district must pay FICA tax in the amount of 7.65% of his pay.

rusak2 [61]

7.2% is the answer i got this one right

6 0

4 years ago