90 degrees you are looking to your side
180 degrees you are looking behind you
around origin of 0,0
the image is flipped into the negative world if it is in posiitve or vice versa
Jude says that the volume of a square pyramid with base edges of 12 in and a height of 10 in is equal to the volume of a cylinde
r with a radius of 6.77 in and a height of 10 in. Jude rounded his answers to the nearest whole numbers. Examine Jude's calculations. Is he correct?
Volume of Square Pyramid Volume of Cylinder
V = one third B(h) V = one thirdπr2h
V = one third(144)(10) V = one thirdπ(6.772)(10)
V = one third(1440) one thirdπ(45.8329)(10)
V = 480 in3 V = one thirdπ(458.329)
V ≈ 480 in3
Yes, his calculations are correct and the volumes for figures are equal.
No, he made a mistake in solving for the volume of the cylinder.
Yes, but he made a mistake in solving for the volume of the square pyramid.
No, he made a mistake in solving for the volume of both figures.
Volume of Square Pyramid Volume of Cylinder
V = one third B(h) V = one thirdπr2h
V = one third(144)(10) V = one thirdπ(6.772)(10)
V = one third(1440) one thirdπ(45.8329)(10)
V = 480 in3 V = one thirdπ(458.329)
V ≈ 480 in3
Yes, his calculations are correct and the volumes for figures are equal.
No, he made a mistake in solving for the volume of the cylinder.
Yes, but he made a mistake in solving for the volume of the square pyramid.
No, he made a mistake in solving for the volume of both figures.
2 answers:
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Answer:
262 square feet of the ramp will be painted red.
Step-by-step explanation:
The lateral surface is surface area of the sides of the ramp without including the top and bottom faces
The ramp shown has three surfaces
The 2 sides are triangles with length 20 and height 8.5
The back is a rectangle shape with length 12 and height 8.5
Step 1: Finding the Area of triangle
The area of the triangle =
The area of the triangle =
The area of the triangle =
The area of the triangle = 85 square feet
Area of 2 triangles = = 170
Step 2: Finding the Area of Rectangle
Area of rectangle =
so,
Area of back rectangle = = 102 square feet
Step 3: Finding the total lateral surface area
Total Lateral Surface Area
= Area of triangle + Area of Rectangle
= 272 square feet
HIJK is a parallelogram because the midpoint of both diagonals is
(1 , 0), which means the diagonals bisect each other
Step-by-step explanation:
If (x , y) is the mid-point of a segment whose end points are and
then,
In a parallelogram, its diagonals intersect each other at their mid-points
that means its diagonals bisect each other
∵ HIJK is a quadrilateral
∵ HJ and IK are its diagonals
∵ H = (-2 , 2)
∵ J = (4 , -2)
- Find the mid point of HJ
∵
∴
∴
∴ The mid-point of HJ is (1 , 0)
∵ I = (4 , 3)
∵ K = (-2 , -3)
- Find the mid point of IK
∵
∴
∴
∴ The mid-point of IK is (1 , 0)
∵ The mid-points of HJ and IK are equal
∴ HJ and IK bisects each other
∴ HIJK is a parallelogram because its diagonals bisect each other
HIJK is a parallelogram because the midpoint of both diagonals is
(1 , 0), which means the diagonals bisect each other
Learn more:
You can learn more about parallelogram in brainly.com/question/6779145
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