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DedPeter [7]
3 years ago
5

If polygon ABCD is translated 4 units to the right, in which quadrant will vertex C be?

Mathematics
2 answers:
Stella [2.4K]3 years ago
8 0
Original position:
A-(-8,-4)
B-(-6,3)
C-(-3,7)
D-(-2,-2)
Translation:
A'-(-4,-4)
B'-(-2,3)
C'-(1,7)
D'-(2,-2)
Vertex C will be in quadrant 1 (+,+) after being translated 4 unites to the right.
emmainna [20.7K]3 years ago
4 0
It would be in Quadrant 1.
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You can use a number line to compare values by on the line say that 4 is before 5 so it is saying that 4 is less than 5.
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Six sandwiches are being divided evenly by 4 friends.how many sandwiches will each friend get.
Ira Lisetskai [31]
6 divided by 4 is 1.5 each person will get 1 and a half sandwiches
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Read 2 more answers
How to do this question plz answer my question ​
Degger [83]

Answer:

$121.82

Step-by-step explanation:

Okay, this is kind of complex, so let's go step by step.

First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so 45\cdot100=4500 m² is the area of the rectangle.

However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).

The area of a circle is represented by the formula \pi r^2

The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.

First circle's radius: 20\div2=10

Second circle's radius: 10\div2=5

Third circle's radius: 5\div2=2.5

Now let's find the area of each circle.

<em>First Circle</em>: \pi \cdot10^2 = \pi\cdot100=3.14\cdot100=314

<em>Second Circle</em>: \pi\cdot5^2 = \pi \cdot25 = 3.14\cdot25=78.5

<em>Third Circle:</em> \pi \cdot 2.5^2 = \pi \cdot6.25 = 3.14\cdot6.25=19.625

Adding all of these values gets us 412.125.

Now we can subtract from this from 4500 to get us 4087.875

If the grass seeds that cost £1.49 cover 50m² each, then we need 4087.875\div50=81.7575 bags.

Each bag costs £1.49, so the total cost is 81.7575\cdot1.49\approx121.82

Hope this helped!!

5 0
3 years ago
For dinner last night, Vinnie ordered a large supreme pizza with extra anchovies. The regular price of the pizza is $24 but Vinn
MaRussiya [10]

Answer:

$20.94

Step-by-step explanation:

8 0
3 years ago
A researcher is concerned that graduate students get less than the recommended 8 hours of sleep a night. She selects a random sa
dsp73

Answer:

H0 : μ = 8

H1 : μ < 8

Test statistic = - 7.51

conclude that there is statistical significance that student at the school get less than 8 hours of sleep on average.

Step-by-step explanation:

The hypothesis :

H0 : μ = 8

H1 : μ < 8

The test statistic :

(xbar - μ) ÷ (s/√(n))

Sample data :

1.75, 2, 2.25, 2.25, 2.5, 3, 3.5, 3.5, 3.5, 3.75, 4, 4.25, 4.5, 4.5, 4.5, 4.75, 5.25, 5.5, 5.75, 5.75, 5.75, 6, 6, 6, 6.25, 6.25, 6.25, 6.5, 6.5, 6.5, 6.75, 7, 7, 7, 7.5, 7.5, 7.75, 8, 8.25, 8.25, 8.25, 8.5, 8.75, 9, 9

Using calculator :

Sample mean, xbar = 5.71666

Sample standard deviation, s = 2.04

The test statistic :

(5.7166 - 8) ÷ (2.04/√(45))

-2.28 / 0.3041052

= - 7.5085

= - 7.51

Degree of freedom = 45 - 1 = 44

Pvalue(-7.51, 44) = 0.00001

α = 1% = 0.01

Since Pvalue < α ; we reject H0 and conclude that there is statistical significance that student at the school get less than 8 hours of sleep on average.

4 0
3 years ago
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