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2 years ago

2.At a local bank 7 out of 12 12 employees have a master's degree. If the bank has 100 employees,

Mathematics

1 answer:

Komok [63]2 years ago

4 0

The correct answer is 58

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You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre

natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

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

Let,

$Z(0, 5) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}$

$AB = \sqrt{(15)^2 + (0)^2}$

$AB = \sqrt{225 + 0} = \sqrt{225}$

$AB = 15$

Distance between X(15, 20) and Y(15, 5):

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

Let,

$X(15, 20) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}$

$XY = \sqrt{(0)^2 + (-15)^2}$

$XY = \sqrt{0 + 225} = \sqrt{225}$

$XY = 15$

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

4 0

2 years ago

Find the slope of the graph.

slavikrds [6]

Answer:

the slope is 4/3

Step-by-step explanation:

slope is also called rise over run you start at one point and count how many spaces it is up to the next point then across

8 0

2 years ago

Solve for a side in right triangles

elena55 [62]

Answer:

4.50 = ?

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite / hypotenuse

sin 40 = ? / 7

Multiply each side by 7

7 sin 40 = ?

4.499513268 = ?

To the nearest hundredth

4.50 = ?

5 0

3 years ago

If h(x) = −3x − 10, find h(−3). (1 point)

Ipatiy [6.2K]

Answer:

h(- 3) = - 1

Step-by-step explanation:

Substitute x = - 3 into h(x) , that is

h(- 3) = - 3(- 3) - 10 = 9 - 10 = - 1

8 0

2 years ago

The length of a rectangle is 6 inches longer than it’s width what are the possible widths if the area of the rectangle is at lea

stealth61 [152]

Let the width = x

length = x + 6

(x + 6) * x = 667

Simplify

x² + 6 = 667

x² + 6 (-6) = 667 (-6)

x² = 661

√x² = √661

x = √661

x = 25.71 (rounded)

25.71 in. is your width

hope this helps

6 0

2 years ago