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astra-53 [7]
3 years ago
11

If a 100 pound weight is lifted 5 feet off the ground, how much work is done?

Mathematics
1 answer:
IgorC [24]3 years ago
4 0
Isn’t it B 500 foot pounds
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1. Consider the figure below.
Illusion [34]

Answer:

  • A triangle sums to 180
  • x-48+2x-164+x= 180
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  • x= 90
  1. m<A= 16
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7 0
2 years ago
Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D
Andrei [34K]

Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points (-4,4),(12,4),(12,-4),(-4,-4)

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image)  are the following:

A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image)  that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

7 0
3 years ago
Read 2 more answers
Trisha's garden is 9.87 m long and 1.09 m wide what is the area of her garden
Allushta [10]
10.7583 is the area of the garden

7 0
3 years ago
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A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue,
NNADVOKAT [17]

Complete question :

A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was x = 8.2. Which of the following represents the p-value for the test?

A) P(x2 ≥ 8.2) = 0.08

B) P(x2 ≥ 8.2) = 0.04

C) P(x2 ≤ 8.2) = 0.96

D) P (x2 = 8.2) = 0.00

E) The p-value cannot be calculated because the sample size is not given.

Answer:

P(χ² ≥ 8.2) = 0.04

Step-by-step explanation:

We need to obtain the degree of freedom ;

Number of levels, k - 1

k = (white, blue, red, black) = 4

df = k - 1= 4 - 1 = 3

The test statistic, χ² = 8.2

The Pvalue is the probability of a Chisquare statistic with 3 degree of freedom is equal to or more extreme than the statistic value, 8.2

Using the Pvalue for calculator from Chisquare statistic, at 3 degree of freedom

Pvalue(8.2, 3) = 0.042

Hence,

P(χ² ≥ 8.2) = 0.04

5 0
3 years ago
Marcus nan and olive each have 1.65 in their pockets they decide to combine the money how much how much money do they have altog
erica [24]
If Marcus has $1.65 and Olive has $1.65, in total they have $3.30. So, if they combine their money they would have $3.30. 
6 0
3 years ago
Read 2 more answers
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