Which answer would be correct

Can anyone explain how to do this? The answer isn't as important as the explanation. My teacher gave us a video w/o an example l

solong [7]

Answer:

x = 182.53

Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

Let's solve.

✍️Finding the whole side length adjacent to 20°:

Opp = 87

Adjacent length = ? = a

$\theta = 20$

Thus,

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(20) = \frac{87}{a}$

Multiply both sides by a

$tan(20) \times a = \frac{87}{a} \times a$

$tan(20) \times a = 87$

Divide both sides by tan(20)

$\frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)}$

$a = \frac{87}{tan(20)}$

$a = 239.03$

Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

$\theta = 57$

Thus,

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(57) = \frac{87}{b}$

Multiply both sides by b

$tan(57) \times b = \frac{87}{b} \times b$

$tan(57) \times b = 87$

Divide both sides by tan(57)

$\frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)}$

$b = \frac{87}{tan(57)}$

$b = 56.50$

Therefore:

x = a - b

x = 239.03 - 56.50

x = 182.53

4 0

3 years ago

Which is the slope of the line that passes through the points (4, 2) and (6, 7)?

denis23 [38]

Answer:

$\displaystyle m = 5$

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Coordinate (x, y)

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

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (4, 2)

Point (6, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]: $\displaystyle m = \frac{7 - 2}{6 - 4}$
[Evaluations] Simplify: $\displaystyle m = \frac{5}{1}$
[Evaluations] Simplify: $\displaystyle m = 5$

7 0

3 years ago

Read 2 more answers

Can u help me i dont get it pleas ur the best thank u soo much

ozzi

To find out how many pages she needs to read everyday, you have to divide.

128.5/4.5 = 28.55

So your answer is B) 28.55

Hope this Helps!!

8 0

3 years ago

Read 2 more answers

What's the distributive property of 30+75

uysha [10]

The answer is 30+70+5 and that is distributive property. Good Luck! Brainly Team

6 0

3 years ago

Jack added 6.5 sales tax to the price, , of a new cell phone. What is another way to find the total cost of the cell phone?

stich3 [128]

Anwser:

Well first of all, I would need the original price of the cell phone to calculate this, so yeah

4 0

3 years ago