For the original cone:
V = pi*h*r^2 = x
The upper half of the cone has half the height and half the radius of the original cone of volume x, so its volume is calculated as:
V = pi*(h/2)*(r/2)^2 = (1/8)*pi*h*r^2 = x/8
Therefore the volume of the other piece (the frustum) is x - (x/8) = 7x/8 cubic centimeters.
<span>y − 1 = 4(x + 3)
y - 1 = 4x + 12
y = 4x + 13, slope = 4
parallel lines, slope is the same so slope = 4
</span><span>passes through the point (4, 32)
</span>y = mx+b
b = y - mx
b = 32 - 4(4)
b = 32 - 16
b = 16
equation
y = 4x + 16
the perimeter of quadrilateral ABED is 36.
<h3 /><h3>What is circumference?</h3>
A circumference is the total distance around a plane shape. Another name for circumference is called perimeter
To calculate the circumference of the quadrilateral, we use the formula below.
Formula:
- Peri. of ABED = /AB/+/BE/+/ED/+/DA/............. Equation 1
From the Diagram,
Given:
- /AB/ = /DC/ = 8 cm,
- /BE/ = 2×/DA/ = 2×6 = 12 cm
- /ED/ = √(6²+8²) = √(36+64) = √100 = 10 cm
- /DA/ = 6 cm
Substitute these values into equation 1
- Peri. of quadrilateral ABED = 8+12+10+6
- Peri. of quadrilateral ABED = 36 cm
Hence, the perimeter of quadrilateral ABED is 36.
Learn more about circumference here: brainly.com/question/20489969
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I have always followed an easy rule: "five or more raises the score". What it means is if the number is 5 or more, it goes to the next whole. Make sense?
Answer:
3:1
Step-by-step explanation:
We know that the number of students who prefer cheese AND vegetable pizza is 16 cheese + 2 vegetable = 18 combined
We also know that the number of students who prefer sausage AND pepperoni pizza is 3 sausage + 3 pepperoni = 6 combined
If we take the ratio between these figures, this ratio would be 18:6 (read as 18 to 6) which simplifies to 3:1 (read as 3 to 1).
