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geniusboy [140]
2 years ago
4

Find m/_1 and m/_2. Justify each answer​

Mathematics
1 answer:
mafiozo [28]2 years ago
8 0
For the first one;
angle 1 is 50° and angle 2 is 130°

for the second one;
angle 1 is 79° and angle 2 is 101°
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Leslye is a salesperson at a home improvement center. She is paid a monthly commission that is 7.5% of her first $1,000 in sales
Inga [223]

Answer:

She sold for $4683.33

Step-by-step explanation:

For a sales of $1000 she is paid 7.5% which is equivalent to $75.

Since she earned $517 , her total sales was more than $1000.

Let she had a sales of $(1000+x).

Then her commission would be $75 + 12% of $x .

But her total commission was $517.

Then commission from sales after she sold for $1000 = $(517 - 75)

                                         = $442

This is also equal to 12% of x.

0.12 \times x[\tex] = $442x = [tex] \frac{442}{0.12}

x = $3683.33

Hence she sold for $4683.33

7 0
3 years ago
I need Help ! I don't understand this question
astra-53 [7]
Rate of change = difference in y values / corresponding difference in x values

For the first function it is  (7-6) / (3 - 0) = 1/3

For the second function its the slope of the line  rise / run  = 2/6  = 1/3

So they are the same  
Option C
7 0
3 years ago
Read 2 more answers
DONT SKIP HELP PLZZZZZZZZZZZZZ
ycow [4]

Option D: The distance between the two points is 13 units

Explanation:

It is given that the two points are (-5,-2) and (8,-3)

We need to determine the distance between the two points.

It is also given that the distance between the two points can be determined using the formula,

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substituting the points (-5,-2) and (8,-3) for the coordinates (x_1,y_1) and (x_2,y_2)

Thus, we get,

d=\sqrt{(8-(-5))^2+(-3-(-2))^2}

Simplifying, we have,

d=\sqrt{(8+5)^2+(-3+2)^2}

Adding the terms, we get,

d=\sqrt{(13)^2+(-1)^2}

Squaring the terms, we have,

d=\sqrt{169+1}

Adding the terms, we get,

d=\sqrt{170}

Simplifying and rounding off the value to the nearest tenth, we have,

d=13.0 \ units

Hence, the distance between the two points is 13 units.

Therefore, Option D is the correct answer.

6 0
3 years ago
Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 288 cub
ratelena [41]

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

V = 288 --- Volume

C_1 = 0.06 --- cost of wall paint

C_2 = 0.16 ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

V =xyz

Substitute 288 for V

288 =xyz

Make z the subject

z = \frac{288}{xy}

The surface area is calculated as:

Area = 2(yz + xz) + xy

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

C = 0.06 * 2(yz + xz) + 0.16 * xy

Substitute z = \frac{288}{xy}

C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy

C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy

C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy

C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy

C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy

Differentiate w.r.t x and y

C_x = -\frac{34.56}{x^2} + 0.16y

C_y = -\frac{34.56}{y^2} + 0.16x

By comparison: x = y

Set them equal to 0

C_y = -\frac{34.56}{y^2} + 0.16x=0

-\frac{34.56}{y^2} + 0.16x=0\\

Substitute x for y

-\frac{34.56}{x^2} + 0.16x=0

0.16x=\frac{34.56}{x^2}

Cross multiply

0.16x^3 = 34.56

x^3 = \frac{34.56}{0.16}

x^3 = 216

Take the cube root of both sides

x = \sqrt[3]{216}

x = 6

x=y= 6

Substitute 6 for x and for y in C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy

C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6

C = (\frac{2*34.56}{6}) + 5.76

C = 11.52 + 5.76

C = 17.28

C = 17.3 --- approximated

8 0
3 years ago
Solve the system by addition/subtraction: <br><br> 3x - 2y = -11 and 3x - 4y = -19
34kurt

Answer for this system: (-1, 4)

8 0
3 years ago
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