You can solve this problem by folllowing the steps below:
1. Draw a segment from the point C to the line AE, as you can see in the figure attached.
2. You have now two equal right trapezoids, then: m∠ABG=m∠EDG.
3. m∠ACE=m∠EDG
3. The sum of the interior angles of the trapezoid is 360º.
4. Then, you have:
m∠EDG+m∠D+m∠G+m∠F=360º
m∠D=115º
m∠G=90º
m∠F=90º
5. When you clear m∠EDG, you obtain:
m∠EDG=360º-m∠D-m∠G-m∠F
m∠EDG=360º-115º-90º-90º
m∠EDG=65º
6. Therefore:
m∠ACE=m∠EDG
m∠ACE=65º
The answer is: C.65º
Answer: Factor the numerator and denominator and cancel the common factors.
7x/6+5/6
Step-by-step explanation:
Answer:
A. 16.8 in³
B. 28.3 m³
C. 65.4 in³
Step-by-step explanation:
The volume of a cone is given as:
V = ⅓ * pi * r² * h
Where r = radius of base of cone
h = height of cone
A. Radius = 2 inches, height = 4 inches
It's volume is:
V = ⅓ * pi * 2² * 4
V = 16.8 in³
B. Diameter of 6 m, and a height of 3 m
It's diameter is 6 m, therefore, it's radius is:
r = d / 2 = 6 / 2 = 3 m
It's volume is:
V = ⅓ * pi * 3² * 3
V = 28.3 m³
C. Diameter of 5 in, and a height of 10 in
It's diameter is 5 in, therefore, it's radius is:
r = d / 2 = 5 / 2 = 2.5 m
It's volume is:
V = ⅓ * pi * 2.5² * 10
V = 65.4 in³
Hey there!
6n^2 - 15
= 6(5)^2 - 15
= 6(5^2) - 15
= 6(5 * 5) - 15
= 6(25) - 15
= 150 - 15
= 135
Therefore, your answer is: 135
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)