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TEA [102]
2 years ago
6

On Monday a team of street sweepers cleaned 1 1/3 city blocks. Tuesday, the team cleaned 1/5 as many blocks as on Monday. How ma

ny city blocks did the street sweepers clean on Tuesday?
Mathematics
1 answer:
valentina_108 [34]2 years ago
4 0

Answer: 4/15

Step-by-step explanation:
1. Change 1/3 to 4/3 by multiplying the numerator by 3 and adding one.

2. Multiple 4/3 by 1/5 to get 4/15.

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How would you find the slope of the line containing the points P(4, 9) and R(57, 73)?
nydimaria [60]

Answer:

Slope is defined as the difference in the vertical axis divided by the difference in the horizontal axis, going left to right (s = dy/dx).  P has a lesser x co-ordinate, so it will be R - P in this case, giving us (ry - py) / (rx - px):

s = \frac{{\Delta}y}{{\Delta}x}

s = \frac{73 - 9}{57 - 4}

s = 64/53

3 0
2 years ago
Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2
Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function \sin^2 x +\sinx-2

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

\sin^2 x +2\sinx-\sin x-2

Now, we group the first two terms and the last two terms

(\sin^2 x +2\sinx)+(-\sin x-2)

Now, we take GCF from each group

\sin x(\sin x +2)-1(\sin x+2)

Factor out (sinx+2)

(\sin x +2)(\sin x-1)

Therefore, the factored form is (sin x +2)(sin x-1)

7 0
3 years ago
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Find the distance between the points (1,3) and (5,0).
Irina18 [472]

distance between two points is [(x2-x1)^2 +(y2-y1)^2]^1/2

I.e,[{5-1)^2+(0-3)^2]^1/2

[16+9]^1/2

[25]^1/2

5

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Answer: I'm pretty sure its -0.74

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2 years ago
The following set of ordered pairs represent a function:
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