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2 years ago

Kesha needs to save $11 per hour. Write two estimates Kesha could use to determine how

Mathematics

1 answer:

kotegsom [21]2 years ago

7 0

She had $10 dollars and the 15 is far so you need to have only one estimate.

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The set of data in the table below represents a linear function.

Vinil7 [7]

Answer:

y = 2x - 19

Step-by-step explanation:

Graph the points on the table and you'll be able to see the answer. That's how I went about it.

or use m = y^2 - y^1 divided by x^2 - x^1 to find the slope, then solve for the initial value from there

8 0

8 months ago

Determine what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact value and ro

Helga [31]

Answer:

Part 1) The shape is a trapezoid

Part 2) The perimeter is $25(4+\sqrt{2})\ units$ or approximately $135.4\ units$

Part 3) The area is $937.5\ units^2$

Step-by-step explanation:

step 1

Plot the figure to better understand the problem

we have

A(-28,2),B(-21,-22),C(27,-8),D(-4,9)

using a graphing tool

The shape is a trapezoid

see the attached figure

step 2

Find the perimeter

we know that

The perimeter of the trapezoid is equal to

$P=AB+BC+CD+AD$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

we have

A(-28,2),B(-21,-22)

substitute in the formula

$d=\sqrt{(-22-2)^{2}+(-21+28)^{2}}$

$d=\sqrt{(-24)^{2}+(7)^{2}}$

$d=\sqrt{625}$

$d_A_B=25\ units$

Find the distance BC

we have

B(-21,-22),C(27,-8)

substitute in the formula

$d=\sqrt{(-8+22)^{2}+(27+21)^{2}}$

$d=\sqrt{(14)^{2}+(48)^{2}}$

$d=\sqrt{2,500}$

$d_B_C=50\ units$

Find the distance CD

we have

C(27,-8),D(-4,9)

substitute in the formula

$d=\sqrt{(9+8)^{2}+(-4-27)^{2}}$

$d=\sqrt{(17)^{2}+(-31)^{2}}$

$d=\sqrt{1,250}$

$d_C_D=25\sqrt{2}\ units$

Find the distance AD

we have

A(-28,2),D(-4,9)

substitute in the formula

$d=\sqrt{(9-2)^{2}+(-4+28)^{2}}$

$d=\sqrt{(7)^{2}+(24)^{2}}$

$d=\sqrt{625}$

$d_A_D=25\ units$

Find the perimeter

$P=25+50+25\sqrt{2}+25$

$P=(100+25\sqrt{2})\ units$

simplify

$P=25(4+\sqrt{2})\ units$ ----> exact value

$P=135.4\ units$

therefore

The perimeter is $25(4+\sqrt{2})\ units$ or approximately $135.4\ units$

step 3

Find the area

The area of trapezoid is equal to

$A=\frac{1}{2}[BC+AD]AB$

substitute the given values

$A=\frac{1}{2}[50+25]25=937.5\ units^2$

4 0

3 years ago

A right rectangular prism is 101/2 m wide, 15 1/2 m long and 3 m tall

gizmo_the_mogwai [7]

Answer:

2348.25 m or 2348 1/4

Step-by-step explanation:

101/2 x 15 1/2 x 3 = 2348.25

8 0

2 years ago

David waits by the crosswalk sign on his way to school. The angle outlined on the sign turns through 50 one-degree angles. Find

mamaluj [8]

Answer:

7 $\frac{1}{5}$ th turns

Step-by-step explanation:

An angle that turn through n one-degrees is said to have an angle measure of n degree. An angle that turns through 1/360 of a circle is called a one degree angle, this is used to measure angles

:. measure of the angle turns through 50 one degree angles

= $\frac{360}{50}$ = 7 $\frac{1}{5}$ th turns.

4 0

3 years ago

Solve the following system of equations:

Akimi4 [234]

It would have no solutions that's your answer.

6 0

2 years ago