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kicyunya [14]
3 years ago
9

Use the reference angles to find the exact value of the expression cot -11 pi/6. Do not use a calculator

Mathematics
1 answer:
laiz [17]3 years ago
7 0

Answer:

\sqrt{3}

Step-by-step explanation:

cot(-11pi/6)=cot(-pi-5pi/6)= -cot(5pi/6)=cot(pi/6)=\sqrt{3}≈1.73

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Need help using synthetic division! ​
viktelen [127]

Answer:

3x^{2} -3x+8-\frac{9}{x+1}

Step-by-step explanation:

Since we're dividing the polynomial by (x+1), we'll be using -1 to start the division.

Before setting the division up, let's list the coefficients of x from descending powers and the constant.

The coefficient of x^{3} is 3

Since we don't see an x^{2}, the coefficient will be 0.

The coefficient of x is 5.

Lastly, the constant, which is the term without the x is -1.

Refer to the attached picture before continuing.

After referring to the picture, we now have the coefficients for the quotient.

The coefficient of x^{2} is 3.

The coefficient of x is -3.

The constant is 8.

Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.

The remainder is actually \frac{-9}{x+1}.

Now putting all the pieces together, we get:

3x^{2} -3x+8-\frac{9}{x+1}

3 0
2 years ago
Find the mean, median, and mode of the data set. Round to the nearest tenth. test scores on a math exam:
irinina [24]

Answer:

Mean:\frac{89+93+76+89+68+80+89+83+88+87+63+86+73+74+67+93+68+95+66+99+78+100 }{22}

Median: 63, 66, 67, 68, 73, 74, 76, 78, 80, 83, 86, 87, 88, 89, 89, 89, 93, 93, 95, 99, 100

\frac{86+83}{2}= 169/2

Mode: 100

Step-by-step explanation:

8 0
2 years ago
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides
nikdorinn [45]

Answer:

Length~ 25,000 cm Width~ 15,000

3 0
3 years ago
Find the probability that a randomly selected point within the circle falls in the white area
MrMuchimi

Answer:

Step-by-step explanation:

The white area is the area of the circle minus the area of the triangle.

Aw=pr^2-hb/2

Aw=p4^2-6.5(6)/2

Aw=16p-19.5

The probability of selecting the white area is the white area divided by the area of the circle

P(W)=(16p-19.5)/(16p), p=3.14

P(W)=0.61

4 0
3 years ago
100 POINTS
weeeeeb [17]

The blanks are as follows:

  1. Angle addition postulate
  2. Subtraction property of equality
  3. Corresponding sides of similar triangles are proportional
  4. Multiplication property of equality
8 0
2 years ago
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