Answers:
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Explanation:
Part (a)
Lines LN and PN have the point N in common. This is the intersection point.
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Part (b)
To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.
I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.
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Part (c)
Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K
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Part (d)
Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.
We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.
Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.
Answer:
2^36 3^48 is the correct answer
Answer: The garden has dimensions 30 ft wide X 60 ft long
Step-by-step explanation:
Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.
L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.
We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.
1) Volume = L × W × H = 8 × 3 × 5 = <u>120 m³</u>
2) Volume = s³ = 17³ = 17 × 17 × 17 = <u>4913 cm³</u>
3) Volume = s³ = 30³ = 30 × 30 × 30 = <u>27000 cm³</u>
4) Volume = L × W × H = 13 × 5 × 7 = <u>455 cm³</u>
5) Volume = s³ = 15³ = 15 × 15 × 15 = <u>3375 cm³</u>
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Formula's applied:
(a) Volume of rectangle: Length × Width × Height
(b) Volume of Cube: (side)³
Answer:
1/9 use inverse.
Step-by-step explanation:
this is because you can use inversem since the word "of" indicates multiplication divide 1/27 and 1/3 and you get 1/3