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3 years ago

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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Write the expression in complete factored form. p(b + 9) - (b + 9) =

kvasek [131]

Answer:

(p-1)(b+9)

Step-by-step explanation: Both terms are a(b+9), but one term has a=p and the other is -1. So add them and get the answer

8 0

3 years ago

The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

creativ13 [48]

99.7%

This is because the likelihood of a point being within 2 SDs of the mean is 99.7%.

7 0

3 years ago

Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?

Vanyuwa [196]

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , to calculate the distance between (-3, 2) and (5, -4):

$d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2}$

$d = \sqrt{(8)^2 + (-6)^2}$

$d = \sqrt{64 + 36}$

$d = \sqrt{100} = 10$

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Plug in the values

$M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2})$

$M(\frac{2}{2}, \frac{-2}{2})$

$M(1, -1)$

✅The coordinate ofthe deli is (1, -1)

8 0

3 years ago

HELP PLZZ Select the correct answer.

stira [4]

Answer:

none

Step-by-step explanation:

There is not a given angle side angle or a side angle side (no two angles and no two sides) so no to the first two.

HL includes two given side, which one must be the hypotenuse, and a right angle so no to that one.

6 0

3 years ago

Assume the probability of having a boy or a girl is the same. What is the probability a family has three boys?

almond37 [142]

The probability of having a boy: 1/2

1/2(1/2)(1/2)=1/8

The probability of a family having three boys is 1/8.

Hope this helps!

3 0

3 years ago