Answer:
A) CUB
Step-by-step explanation:
Of the suggested planes, only CUB contains both points C and T.
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<em>Comments on the other answer choices</em>
BED contains point T, but not C
ACE contains point C, but not T
ABE contains neither C nor T
Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
Answer: I and II.
Step-by-step explanation:
By definition, two solids are similar if their corresponding sides are in the same ratio.
Knowing this, let's find which solids are similar:
Corresponding sides ratio of solids I and II:
Corresponding sides ratio of solids I and III:
Corresponding sides ratio of solids II and III:
You can observe that the solids I and II are similar.
1 mile is equal to 5280 feet
Answer:
169.56
Step-by-step explanation:
The formula for finding the volume of a cylinder is: πr²h
First step: Plug in the radius and height: π•3²•6
Second step: Plug 3.14 for π: 3.14•3²•6
Third step: Simplify the equation: 3.14•9•6
Fourth step: Multiple to get your final answer: 3.14•9=28.26•6= 169.56