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ArbitrLikvidat [17]
3 years ago
10

Item 11

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

Answer:

Amount\ of\ sales=\$ 6000

Step-by-step explanation:

Let\ total\ sales=x\\\\Commission=3\%\ of\ total\ sale\\\\Commission=3\%\ of\ x\\\\It\ is\ given\ that\ salesperson\ gets\ \$ 180\ as\ commission.\\\\3\%\ of\ x=180\\\\\frac{3}{100}x=180\\\\x=\frac{180\times 100}{3}\\\\x=60\times 100\\\\x=6000\$\\\\Amount\ of\ sales=\$ 6000

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(01.05) Use the graph below to answer this question: graph of line going through negative 1, 4 and 2, 0 Find the average rate of
dsp73

1) Find the graph of a line passing through (-1, 4) and (2, 0).

The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

\frac{4-0}{-1-2} =\frac{4}{-3}

The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

y=\frac{-4}{3} x+b

To find b, substitute x and y for one of the given coordinate pairs:

0 = (-4/3)(2) + b

0 = -8/3 + b

8/3 = b

Substitute the b value into the equation to finish the line:

y=\frac{-4}{3} x+\frac{8}{3}

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3 years ago
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The width of the rectangle is 75% of its length, the length is 24, what's the area?
lapo4ka [179]
S = a * b  where a - <span>length and b - width
a = 24
b = 0.75 * a
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3 years ago
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How do you find the percent to change of 86 to 150
bulgar [2K]

Answer:

57.3333333333

Step-by-step explanation:

you set up a equation that looks like this

                        86

___     =      ______

100                   150


you mutiply 100 by 86 and get 8600 then you divide that by 150 and get 57.333333333 as your finally answer.

4 0
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Find the area of the following circle. (Round answer to the nearest whole number.) Circumference = 280 cm. (Hint: Find r from C
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Find r :
C=2πr
280=2(3.14)r
r=280/2(3.14)
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4 0
3 years ago
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Geometry problem help!<br><br> Please refer to the image below...
Vinil7 [7]

Answer:

A. 1/3

B. √10

C. -1, 1

D. √8, 6

E. congruent and opposite pairs parallel

F. perpendicular, not congruent

G. rhombus, explanation below

Step-by-step explanation:

Hey there! I'm happy to help!

-----------------------------------------------------------------

A.

Slope is the rise over the run. Let's look at F to G.

We are going from -1 to 2 on our x-axis (run), so our run is 3 units.

Our rise is 1 unit as we go from 2 to 3 on the y-axis.

slope=\frac{rise}{run} =\frac{1}{3}

This slope is the same for all of the sides.

-----------------------------------------------------------------

B.

We will use the distance formula (which is basically just the Pythagorean Theorem) to calculate the length of each side. Let's go between F and G again, but this distance is the same for all the sides.

\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+1)^2+(3-2)^2 } \\\\\sqrt{(3)^2+(1)^2 }\\\\\sqrt{9+1 }\\\\\sqrt{10}

-----------------------------------------------------------------

C.

The diagonals are the lines that connect the non-adjacent vertices.

Our two diagonals are FH and GE.

-----------------------------

<u>FH</u>

We go from x-value -1 to 1 from F to H, so our run is 2.

We go from y-value 2 to 0. so our rise is -2.

slope=\frac{rise}{run} =-\frac{2}{2} =-1

-----------------------------

<u>GE</u>

We go from x-value -2 to 2 from E to G, so our run is 4.

We go from y-value -1 to 3. so our rise is 4.

slope=\frac{rise}{run} =\frac{4}{4} =1

-----------------------------------------------------------------

D.

Let's use the distance formula on each of our diagonals.

-----------------------------

<u>FH</u>

<u />\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(1,0)\\\\\\\sqrt{(1+1)^2+(0-2)^2 } \\\\\sqrt{(2)^2+(-2)^2 }\\\\\sqrt{4+4 }\\\\\sqrt{8}<u />

-----------------------------

<u>GE</u>

\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-2,-1)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+2)^2+(3+1)^2 } \\\\\sqrt{(4)^2+(4)^2 }\\\\\sqrt{16+16 }\\\\\sqrt{36}\\\\6

-----------------------------------------------------------------

E.

They are congruent as they all have the same length (√10) and the opposite sides are parallel as they have the same slope (1/3)

-----------------------------------------------------------------

F.

They are perpendicular diagonals as their slopes are negative reciprocals (1 and -1), and they are not congruent as they have different lengths (√8 and 6).

-----------------------------------------------------------------

G.

<u>Parallelogram-</u> quadrilateral with opposite pairs of parallel sides.

<u>Rhombus-</u> a parallelogram with four equal sides

<u>Square-</u> a rhombus with four right angles

We can see that this is a parallelogram as we saw that the opposite sides are parallel due to having the same slope, and the perpendicular diagonals show that as well. This is also a rhombus because if we use that distance formula on all the sides, it will be the same. It is not a square though because it does not have four right angles, so this is a rhombus.

-----------------------------------------------------------------

Have a wonderful day and keep on learning!

8 0
2 years ago
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