Find tan x if sec x = sort 37/6 and sin x <0

Answers

Answer 1

Answer:

Answer:

tan(x) = -1/6

Step-by-step explanation:

We can use the relation between tan and sec:

$\displaystyletan(x)=\pm\sqrt{\sec^2{x}-1}\n\ntan(x)=-\sqrt{\left((√(37))/(6)\right)^2-1}\quad\text{negative because sine is negative}\n\n=-\sqrt{(37-36)/(36)}=\boxed{-(1)/(6)}$

The tangent of x is -1/6.

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A steep mountain road has a grade of 8%, which means that the road rises 8 feet vertically for every 100 feet it travels horizontally. write the grade as a ratio in simplest form.

A equal t added to 258

write the sentence as an equal

Answers

Answer:

A=t+258

Step-by-step explanation:

The difference between a number x and 12 is 16?

Answers

Answer:

x equals 28

Step-by-step explanation:

16 + 12 = x because

casey has n nickels.meghan has 4 times as many nickels as casey has.write an expression for the total number of nickels casey and meghan have.then simplify the expression.

Answers

Answer:

Step-by-step explanation:

Summarizing what we know:

Casey has n nickels, and Meghan 4 times as many: 4n

Then the total number of nickets these two people have is n + 4n, or 5n.

Cost of a dozen pens is ₹ 180 and cost of 8 ball pens is ₹ 56. Find the ratio of the cost of a pen to the cost of a ball pen. [1 ½ m]

Answers

Answer:

Ratio of cost of a pen to cost of a ball pen is 15:7

Step-by-step explanation:

Given that:

Cost of dozen pens = ₹180

Unit rate = $(180)/(12)$

Unit rate = ₹ 15 per pen

Cost of 8 ball pens = ₹ 56

Unit rate = $(56)/(8)$

Unit rate = ₹7 per ball pen

Ratio of cost of a pen to cost of a ball pen,

15 : 7

Hence,

Ratio of cost of a pen to cost of a ball pen is 15:7

To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water. How do their two mixtures compare in taste?

Answers

Answer:

Noah's mixture will taste more like orange, than Andre's mixture.

Step-by-step explanation:

Given:

Noah mixes 4 scoops of powder with 6 cups of water.

Means Noah ratio will be or 0.67

Andre mixes 5 scoops of powder with 8 cups of water

Means Andre ratio will be or 0.62

As,

0.66 > 0.62

We can say that content of orange powder will be more in Noah mixture than in Andre's Mixture.

Hence, Noah's mixture will taste more like orange, than Andre's mixture.

1. Find the value of 3x -2x^2 ; when x = -3. ^ means "power of" *

Answers

Answer:

Step-by-step explanation:

3x - 2x²

3 × -3 = -9

2 × -3 = -6

-9 - (-6²)

-9 - (-36)

-9 + 36

36 - 9

36 - 9 = 27

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