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nevsk [136]
3 years ago
10

Write cot(t) in terms of sin(t) if the terminal point determined by t is in the fourth quadrant. do not leave a fraction inside

a radical or use absolute value.
Mathematics
1 answer:
Leona [35]3 years ago
8 0
Cot(t)= cos(t) / sin(t)
Cos(t) = sqrt(1 - sin^2(t) )  But this is in quad 4, so  sin(t) <0
cot(t) = sqrt(1 -sin^2(t)) /  - sint(t)
cot(t) = - sqrt( 1 - sin^2(t) ) / sin(t)
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Please help and answer the question properly.
RUDIKE [14]

Answer:

x = 15.65 and y = 5√2

Step-by-step explanation:

To get x and y we will use the Pythagoras theorem as shown

hyp^2 = adj^2 + opp^2

x^2 = 14^2+7^2

x^2 = 196 + 49

x^2 = 245

x = √245

x = 15.65

Similarly for y;

y2 = 5^2 + 5^2

y^2 = 25 + 25

y^2 = 50

y = √2*25

y = 5√2

Hence x = 15.65 and y = 5√2

6 0
2 years ago
Read 2 more answers
a. Fill in the midpoint of each class in the column provided. b. Enter the midpoints in L1 and the frequencies in L2, and use 1-
Tresset [83]

Answer:

\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & {64} & {63-65} & {1}  & {67} & {66-68} & {11} & {70} & {69-71} & {8} &{73} & {72-74} & {7}  & {76} & {75-77} & {3} & {79} & {78-80} & {1}\ \end{array}

Using the frequency distribution, I found the mean height to be 70.2903 with a standard deviation of 3.5795

Step-by-step explanation:

Given

See attachment for class

Solving (a): Fill the midpoint of each class.

Midpoint (M) is calculated as:

M = \frac{1}{2}(Lower + Upper)

Where

Lower \to Lower class interval

Upper \to Upper class interval

So, we have:

Class 63-65:

M = \frac{1}{2}(63 + 65) = 64

Class 66 - 68:

M = \frac{1}{2}(66 + 68) = 67

When the computation is completed, the frequency distribution will be:

\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & {64} & {63-65} & {1}  & {67} & {66-68} & {11} & {70} & {69-71} & {8} &{73} & {72-74} & {7}  & {76} & {75-77} & {3} & {79} & {78-80} & {1}\ \end{array}

Solving (b): Mean and standard deviation using 1-VarStats

Using 1-VarStats, the solution is:

\bar x = 70.2903

\sigma = 3.5795

<em>See attachment for result of 1-VarStats</em>

8 0
3 years ago
If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?
alexandr1967 [171]

Answer:

Is important to remember that the reflection of the point (a,b) across  the y-axis is the point (-a,b).

Our original equation is y= (x+2)^2

And after the reflection respect x we got:

y= (-x+2)^2

Step-by-step explanation:

Is important to remember that the reflection of the point (a,b) across  the y-axis is the point (-a,b).

Our original equation is y= (x+2)^2

And after the reflection respect x we got:

y= (-x+2)^2

7 0
3 years ago
SOMEONE HELP ITS DUE TONIGHT
il63 [147K]

Answer:

n=27 degrees

m=36 degrees

Step-by-step explanation:

So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.

so it is: 180-126/2 which gives you 27 degrees.

this means the n value is 27.

to find m, you have to take away 90 degrees and the n value from 180.

so it is: 180-90-27 which gives you 63 degrees.

now you must take the smaller angle from 63 degrees to find m.

so it is: 63-27 which gives you 36

therefore...

n=27 degrees

m=36 degrees

8 0
3 years ago
Which shows the correct order of steps in the formation of coal​
just olya [345]

D: Dead plants fall in swamp...

This is the answer because the plants must begin to accumulate in a location, then continue to build tall enough for the rest of the process to continue.

A is incorrect because the plants must die before piling up

B is incorrect because the plants must die and accumulate before compressing

C is incorrect because plants must die before being buried.

5 0
3 years ago
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