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Tju [1.3M]
4 years ago
13

Richard mows 1/3 of his yard in 1/2 hour. How much of his yard would Richard mow in 1 hour?

Mathematics
2 answers:
LenaWriter [7]4 years ago
7 0
1/3 yard = 1/2 hr
  x  yard =  1 hr 

Okay, so if 1/3 of his yard is mowed in half an hour, "x" of his yard is mowed in an hour. 
1/3 yard is to 1/2 hr as "x" yard is to 1 hr 

Solve by cross multiplying: 
1/2x = 1/3 *1 
1/2x = 1/3
(divide both sides by 1/2) 
2/3 

Richard can mow 2/3 of his yard in one hour.

You can also figure this out by just realizing that 1/2 hr multiplied by 2 would give you 1 hr and then multiply 1/3 by 2 but it's good to get into the habit of solving things algebraically (or so I've been told).

Vlada [557]4 years ago
3 0
I hope this helps you




if he mows 1/3 yard in 1/2 hour


? yard in 1 hour



?.1/2=1.1/3


?=2/3 yard in 1 hour
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12

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4 years ago
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Mandarinka [93]
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keep in mind that the inverse cosine function has a range of [0, 180°], so any angles it will spit out, will be on either the I quadrant where cosine is positive or the II quadrant, where cosine is negative.

however, 45.6° has a twin, she's at the IV quadrant, where cosine is also positive, and that'd be 360° - 45.6°, or 314.4°.

now, those are the first two, but we have been only working on the [0, 360°] range.... but we can simply go around the circle many times over up to 720° or 72000000000° if we so wish, so let's go just one more time around the circle to find the other fellows.

360° + 45.6° is a full circle and 45.6° more, that will give us the other angle, also in the first quadrant, but after a full cycle, at 405.6°.

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6 0
3 years ago
Suppose f(x) = x^2 and g(x) = (1/4)^2. Which statement best compares the graph of g(x) with the graph of f(x)
hjlf

Answer:

g(x) is the image of f(x) after stretched horizontally by scale factor = 4

Step-by-step explanation:

The statement that best compares the graph of  g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:

Given the function

f(x) = x²  and g(x) = (1/4x)² the image of f(x) after one transformation.  

The transformation shows that g(x) stretches away from y-axis.  

Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).

Then we use the scale factor to divide g(x)

1 ÷ ¼ = 1 x 4/1 = 4  

So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4

8 0
4 years ago
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Answer:

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4 0
3 years ago
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