Answer:
10.05 units
Step-by-step explanation:
We can find the distance between these points using the distance formula. The distance formula is:
We know that x1 is 3, x2 is 4, y1 is 4, and y2 is -6, so we can substitute inside the equation.
Hope this helped!
Answer:
65 i believe
Step-by-step explanation:
first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
Answer:
x = 20
Step-by-step explanation:
There is a right angle which is 90 degrees. Part of the angle is 30 degrees, so the other measure is 60 degrees, which is the 3x.
Make an equation.
3x = 60
Divide both sides by 3
3x/3 = 60/3
x = 20
Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
Answer:
alternate angle to angle RUN is angle POU
Step-by-step explanation:
Alternate angles are defined as angles that are located in opposite positions when we look at them relative to a transverse line that intersects two horizontal lines.
Now, we want to find the alternate angle to angle RUN.
The same transverse line cuts the other horizontal line PQ at point O.
Therefore the alternate angle to angle RUN is angle POU
