Answer:
x = 88.2
Step-by-step explanation:
The angle at the top of the triangle = 90° - 10° = 80°
and the left side of the triangle is x ( opposite sides of a rectangle )
Using the tangent ratio in the right triangle
tan80° =
= 
Multiply both sides by x
x × tan80° = 500 ( divide both sides by tan80° )
x =
≈ 88.2
Use photo-math or Gauth-math application can help u this
Given:

Let's evaluate and find the quotient.
We have:

SInce it is not a repeating decimal, we are asked to leave to answer as it is.
A repeating decimal is a decimal with digits or group of digits that repeats endlessly.
The decimal 5.937
ANSWER:
5.9375
Answer:

Step-by-step explanation:
First create an equation in slope-intercept form, y = mx + b. To do this, find the rate of change or slope (m), and the y-intercept (b).
Using two pairs, (-7, -3) and (-8, -4),

m = 1
To find b, substitute m = 1, x = -7 and y = -3 into y = mx + b.
Thus:
-3 = (1)(-7) + b
-3 = -7 + b
-3 + 7 = b
4 = b
b = 4.
Replace y with f(x), m with 1 and b with 4 in y = mx + b.
The function would be:

Answer:
11
Step-by-step explanation:
There are more than eleven cards in a deck but there can only be one outcome because there are only 11 letters in the word PERSONALITY.