All categories

3 years ago

What is the tangent of angle Z?

Mathematics

1 answer:

iragen [17]3 years ago

8 0

Answer:

C) 12/5

Step-by-step explanation:

Tan = Opposite / Adjacent

Tan(Z) = YX /YZ

Given: YZ = 5 and XZ = 13

(YZ)^2 = (XZ)^2 - (YZ)^2

= 13^2 - 5^2

= 169 - 25

= 144

YZ = 12

Tan(Z) = YX /YZ

Tan(Z) = 12/5

You might be interested in

Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Anna007 [38]

Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

6 0

2 years ago

When x = -3, then y = ___

Finger [1]

Answer

answer is y=3

y=3

6 0

3 years ago

Read 2 more answers

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

hammer [34]

Information:

Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.

Define x:

Let x be the number of books sold.

Construct Equation:

For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x

Solve x:

24.5x = 32634 + 8.75x

Take away 8.75x from both sides:
15.75x = 32634

Divide both sides by 15.75:
x = 2072

Answer: The publisher must sell 2072 books.

6 0

3 years ago

Please help its hard btw

Rudiy27

Answer:

4213

Step-by-step explanation:

go to the numbers that pop out and do it backwards.

7 0

3 years ago

150 is 100% of what number?

andriy [413]

Answer:

150 is 100% of 150

Steps to solve "150 is 100 percent of what number?"

We have, 100% × x = 150

or,

100

× x = 150

Multiplying both sides by 100 and dividing both sides by 100,

we have x = 150 ×

100

x = 150

If you are using a calculator, simply enter 150×100÷100, which will give you the answer.

3 0

2 years ago