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harina [27]
3 years ago
7

Simplify the identity: tan cos/sin

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0
I am going to simplify the top before simplifying the rest.

tan = sin/cos, so tan * cos simplifies down to sin in the numerator. which leaves sin/sin which equals 1.

to make a long story short the answer is 1
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Which linear inequality represents the graph below?
Y_Kistochka [10]

Given:

The graph of an inequality.

To find:

The inequality.

Solution:

In the given graph, the boundary line passes through the points (-3,3) and (0,1).

So, the equation of the boundary line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-3=\dfrac{1-3}{0-(-3)}(x-(-3))

y-3=\dfrac{-2}{3}(x+3)

y-3=-\dfrac{2}{3}(x)-\dfrac{2}{3}(3)

Adding 3 on both sides, we get

y=-\dfrac{2}{3}(x)-2+3

y=-\dfrac{2}{3}(x)+1

The boundary line is a solid line and the shaded region is above the boundary line. So, the sign of inequality must be \geq and the required inequality is:

y\geq -\dfrac{2}{3}(x)+1

Therefore, the correct option is B.

8 0
3 years ago
Which expression can be used to determine the reference angle for an angle, x, measuing 150 degrees
Sliva [168]

Answer:

see explanation

Step-by-step explanation:

150° is in the second quadrant.

To find the reference angle in the first quadrant subtract from 180°

reference angle = 180° - 150° = 30°

3 0
3 years ago
Solve please and explain
Lana71 [14]

Answer:

The length of one of it's sides is 4

Step-by-step explanation:

4 x = 16 x 4 = 64

A cube is a 3 dimensonal square, meaning the lenght, widith, and height of the cube are all going to be teh same.

8 0
3 years ago
Read 2 more answers
Find the standard deviation. Round to the nearest tenth when necessary.
stepladder [879]

Answer:

d.    S.D=      7.3

Step-by-step explanation:

x                       f                   f(x)                    x²                  f(x²)

75                     2                  150                 5625             11250

80                     3                  240                6400              19200

85                     2                  170                 7225               14450

90                     2                   180                8100               16200

95                      0                    0                 9025                  0

100                    1                     100             10000              10000

Sum               f=   10           fx=  840                             f(x²) = 71,100

Standard Deviation = √Sum fx² - (Sum f(x))²/sum f/ f

S.D= √71,100- (840)²/10/10

S.D= √71,100- 70560/10

S.D= √540/10

S.D= √54

S.D= 7.348 ≅7.3

4 0
3 years ago
Leon goes to Mexico with $40. If $1 = 12 pesos, how many pesos will he get with his $40?
lara [203]
He would have 480 pesos
8 0
4 years ago
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