Answer:
84 :-)
Step-by-step explanation:
Answer: B and D are correct.
Step-by-step explanation:
A is wrong because they will eventually intersect (the arrows show that the line continues on).
B is correct; that is where they will intersect.
C is wrong because they only intersect at one point, and that's where the solution is.
D is correct because they intersect once and have only one solution.
<h3>Answer: Commutative Property (choice C)</h3>
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Explanation:
Here are all of the justifications for each step
- Step 1. None needed. This is the original expression
- Step 2. Distributive property
- Step 3. Multiply (the 3 and 5 multiply to 15)
- Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the -15 and 4x terms swap places.
- Step 5. Associative property. The parenthesis group the first two terms away from the third term.
- Step 6. Combine like terms. Both 3x and 4x have an x only so they are like terms that combine to 7x. You can think of it as 3+4 = 7, then you just tack an x onto everything to get 3x+4x = 7x.
Perimeter of Rectangle: 2W + 2L
One L is the river so we have 3 sides
420m/3 = 140m
Area of Rectangle is WL
140×140= 19,600 Sq meters
I'm assuming you may have another mathematical system the teacher wants you to use. Yet, I get Area is 19,600 Sq meters
<h3>
Answer: Choice A. 8pi feet</h3>
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Explanation:
The perimeter around the circle is known as the circumference
The full circumference of a circle with radius r is
C = 2*pi*r
In this case, r = 16 is the radius, so,
C = 2*pi*r
C = 2*pi*16
C = 2*16*pi
C = 32pi
is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get
(1/4)*32pi = (1/4*32)pi = 8pi
The arc length is exactly 8pi feet long
Approximately this is about 25.13274 feet
