Answer:
[A] 18
Explanation:
[I'm assuming you want us to find the measure of ∠ABC]
∠ABC is a right angle, meaning ∠ABD and ∠DBC added together must equal 90°
2x° + 3x° = 90
2x + 3x = 5x
5x = 90
5x / 5 = 90 / 5
x = 18
Answer:
Diamonds is incorrect, because, the volume of the softball is 8 times the volume of the golf ball
Step-by-step explanation:
we know that
The volume of a sphere is equal to

where
r is the radius
step 1
Find the volume of the golf ball
we have

substitute

step 2
Find the volume of the the softball
we have

substitute

step 3
Find the ratio of volumes
Divide the volume of the softball by the volume of the golf ball

That means
Diamonds is incorrect, because, the volume of the softball is 8 times the volume of the golf ball
Answer:
B. 192.5 ft³
Step-by-step explanation:
To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).
(5 * 7 * 11)/2
Multiply 5 by 7 to get 35.
(35 * 11)/2
Multiply 35 by 11 to get 385.
385/2
192.5 ft³ is the volume of this triangluar prism.
Answer:
y = 384
Step-by-step explanation:
Find an equation that fits the graph
When the value varies directly, y = kx.
Find k by substituting x and y in the equation
y = kx
48 = 18k
k = 48/18
k = 8/3
To find the value of y when x= 144 by substituting x for 144
y = 8/3 x
y = 8/3 (144)
y = 1152/3
y = 384
y is 384 when x is 144.