Answer:
Step-by-step explanation:
<u>Paul used the following identities:</u>
<u>Anthony used the identity:</u>
Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
The answer to your question is 3. 0
Step-by-step explanation:
For an angle of 180°:
- hypotenuse = 1
- Adjacent side = 1
- Opposite side = 0
Then, sin Ф = 
sin 180° = 
sin 180° = 0
Answer:
Volume of the box = x^3 - 4x^2
Step-by-step explanation:
V = L × W × H
Where,
V = volume of the rectangular prism
L= Length
W = Width
H = Height
volume of the rectangular prism = length × width × height
Length = x
Width= length = x
Height = x - 4
V = L × W × H
= x * x * (x - 4)
= x^2 (x - 4)
= x^3 - 4x^2
V = x^3 - 4x^2
Volume of the box = x^3 - 4x^2
Have a great day as well! sending good vibes your way <3
