Answer:
m∠a = 60°
Step-by-step explanation:
Hi there,
Before answering this question, you should know that the sum of all the angles in a triangle will always be 180°. Therefore, we can write this equation to find the value of ∠a :
70° + 50° + m∠a = 180°
Solve for m∠a
120° + m∠a = 180°
m∠a = 60°
Hope this answer helps. Cheers.
9514 1404 393
Answer:
(b) 10.5 in
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h . . . . . . for radius r and height h
Then the height is ...
h = 3V/(πr²)
Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...
h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in
The height of the cone is about 10.5 inches.
The formula for the area of a trapezoid is a=1/2(b1+b2)h
So 10*5 = 50 *4 = 200 then divided by 2 is 100 so the answer is 100
Answer: B(7,0)
Step-by-step explanation:
Since coordinate of A(3,8) and M(5,4), where M is the midpoint of AB.
Let the coordinate of B be (x,y)
Therefore, the distance AM is equal to distance MB.
Distance = sqrt{ (5 - 3)² + (4-8)² } =sqrt { (x-5)² + (y-4)²}
Comparing corresponding coordinates,
5-3 = x-5
x= 5+5-3 = 7
4-8 = y-4
y= 4-8+4= 0
Therefore, the coordinate of B is (7,0)
