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Ludmilka [50]
2 years ago
10

Let x=33/65 be the x-coordinate of the point P(x,y), where the terminal side of angle theta (in standard position) meets the uni

t circle. If P is in Quadrant IV, what is sin theta?
Mathematics
1 answer:
ololo11 [35]2 years ago
5 0
Cos theta = adj / hyp = (33/65) / 1 = 33/65
sin^2 theta = 1 = cos^2 theta = 1 - (33/65)^2 = 3136/4225
sin theta = sqrt(3136 / 4225) = 56/65

Therefore, sin theta = -56/65  (4th quadrant)
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Alex, an eighth grader, and Eric, a seventh grader, need to determine who came closer to their grade’s state record for the trip
4vir4ik [10]

Answer:

alex

Step-by-step explanation:Because 39.85>37

4 0
2 years ago
Loretta is trying to build the largest taco in the world . she use 2000 pound of ground beef one tenth as many pound of cheese a
Veseljchak [2.6K]
1/10 of 2000 is 200 pounds. so 200 pounds of cheese

i guess you mean 100 times more lettuce than beef so that would be 200,000 pounds of lettuce

200+200,000=200,200 final answer
3 0
2 years ago
Read 2 more answers
Suppose students' ages follow a skewed right distribution with a mean of 24 years old and a standard deviation of 3 years. If we
natta225 [31]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Mean of students' age = 24 years

Standard deviation of students' age = 3 years

Sample size = number of students = 350

So, according to options,

a. The shape of the sampling distribution is approximately normal.

It is true as n >30, we will use normal.

b. The mean of the sampling distribution is approximately 24-years old.

It is true as it is given.

c. The standard deviation of the sampling distribution is equal to 5 years.

It is not true as it is given 3 years.

Hence, Option 'c' is correct.

8 0
2 years ago
The graph of f(x) = StartRoot x EndRoot is reflected over the y-axis. Use the graphing calculator to graph this reflection. Whic
labwork [276]

Answer:

<em>(–81, 9), (–36, 6), (–1, 1) </em> are the correct three points.

Step-by-step explanation:

Given the function:

f(x) =\sqrt x

Please refer to the attached image.

The green line shows the graph of actual function.

It is reflected over y axis.

The reflected graph is shown in black color in attached image.

When reflected over y axis, the sign of variable x changes from Positive to Negative.

So, the resultant function becomes:

f(x)=\sqrt{-x}

i.e. we will have to give the values of x as negative now.

so, the options in which value of x is negative are the possible answers only.

The possible answers are:

(–81, 9), (–36, 6), (–1, 1) and

(–49, 7), (–18, 9), (–1, 1)

Now, we will check the square root function condition.

In the 2nd option, (–18, 9) does not satisfy the condition.

So, the correct answer is:

<em>(–81, 9), (–36, 6), (–1, 1)</em>

7 0
2 years ago
Emery looks out their apartment window to the building across the way. The building isknown to be 42 feet tall. The angle of dep
Amanda [17]

Answer:

x=44.5ft

Step-by-step explanation:

From the question we are told that:

Height h=42ft

Angle of depression \theta=27\textdegree

Angle of Elevation \alpha=23 \textdegree

Generally the equation for the vertical distance between Emery's distance x and the bottom of the building  is mathematically given by

Since the angle of depression and elevation are given as

27 and 23 respectively

Therefore

Emery's view of the 42 ft building is

\gamma=23+27

\gamma=50  \textdegree

Therefore Emery's distance x to the base of the building h' is

h'=\frac{27}{50}*42

h'=22.68ft

Generally the Trigonometric equation for Emery's distance x is mathematically given by

x=\frac{h'}{tan\theta}

x=\frac{22.68}{tan 27}

x=44.5ft

6 0
1 year ago
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