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2 years ago

Evaluate -Z + 7.49 for Z = -7.1

1 answer:

3 0

14.59

To solve, simply plug -7.1 into -Z. Since Z is negative in the equation, it will turn the Z that’s given to us into a negative. Since that Z is already negative, it will now become a positive since that’s what two negatives being multiplied make. This is what your problem will look like:

-(-7.1) + 7.49
7.1 + 7.49 = 14.59

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A rectangle has its vertices at (-4, -3), (-4,7), (1,7), (1, -3). What part, in percent, of the rectangle is located in Quadrant

Rasek [7]

Consider the attached figure. The whole rectangle is ABCD, while AEGF is the part located in the third quadrant. In fact, this quadrant is composed by all the points with both coordinates negative.

To answer the question, let's compute the area of the two rectangles and see what part of ABCD is AEGF.

A and B have the same x coordinate, so the length of AB is given by the absolute difference of their y coordinates:

$\overline{AB} = |A_y-B_y| = |-3-7| = |-10| = 10$

Similarly, but exchanging the role of x and y, we compute the length of BC:

$\overline{BC} = |B_x-C_x| = |-4-1| = |-5| = 5$

So, the area of the rectangle is $\overline{AB} \cdot \overline{BC} = 10\cdot 5 = 50$

The same procedure allows us to compute width and height of the sub-rectangle in the third quadrant:

$\overline{AE} = |A_y-E_y| = |-3-0| = |-3| = 3$

$\overline{EG} = |E_x-G_x| = |-4-0| = |-4| = 4$

So, the area of the portion located in the third quadrant is $\overline{AE} \cdot \overline{EG} = 3\cdot 4 = 12$

This means that the ratio between the two area is

$\cfrac{\text{area }AEGF}{\text{area }ABCD} = \cfrac{12}{50}$

If we want this ratio to be a percentage, just make sure that the denominator is 100:

$\cfrac{12}{50} = \cfrac{12}{50}\cdot \cfrac{2}{2} = \cfrac{24}{100} = 24\%$

3 0

2 years ago

How much fabric is required to cover x buttons in the shape of a circle whose radius is 3x ?

Leviafan [203]

Radius of 1 button = r = 3x

Fabric required to cover 1 button = Area of the circle

= $\pi r^{2}$

= $\pi (3x)^{2}$

= $9\pi x^{2}$

Total number of buttons = x

Fabric required to cover 1 button = $9\pi x^{2}$

Fabric required to cover x buttons = $x(9\pi x^{2} )$

$=9\pi x^{3}$

Hence, fabric required to cover x buttons $=9\pi x^{3}$ sq. units

3 0

3 years ago

Which angle is vertical to <br><br> (Will reward)

xenn [34]

The angle vertical to it is DF

3 0

2 years ago

The United States Census collects data on many variables about individuals and households.

Mrrafil [7]

Answer:

Years living in the U.S.

How many adults are registered to vote in the upcoming election?

Number of adults over 18

Number of minors in the household

Number of family members residing at the address

Zip code

Step-by-step explanation:

Given the following :

Select the variables which are quantitative :

Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.

Years living in the U.S. = quantitative

How many adults are registered to vote in the upcoming election? = quantitative

Number of adults over 18. = quantitative

Number of minors in the household = quantitative

Family role of respondent = not quantitative

Number of family members residing at the address = quantitative

Ethnicity = Not quantitative

Zip code = quantitative

6 0

3 years ago

3/4x + 2 = 3/8x - 4<br> X=<br> Please show how u got ur answer

ch4aika [34]

Answer:

Hope it helps u

Step-by-step explanation:

3/4x + 2 = 3/8x - 4

subtract 2 from both sides we get

(3/4)x=(3/8)x-6

subtract (3/8)x from both sides, we get

(3/4)x-(3/8)x= -6

now taking L.C.M we get

((6-3)/8)x= -6

(3/8)x= -6

x= -6*8/3

8 0

2 years ago