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4 years ago

2. A manager used a coordinate grid to place her employees in the office.

Mathematics

1 answer:

MissTica4 years ago

3 0

Idk if this is what you're looking for but...
Wendy's desk is at (-3,0)
Abu's desk is at (2,0)
Trey's desk is at (0,-4)
The Manager's desk is at (0,0) also known as the origin
Abu's desk is closest to the manager's desk because his desk is only 2 paces away from the managers on the x line

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Three semicircles are placed in a rectangle, as shown below. The length of the rectangle is 30 m . Find the area of the shaded r

Anuta_ua [19.1K]

Answer:

The area of the shaded region is: 32.25m^2

Step-by-step explanation:

Given

See attachment for rectangle and semicircles

Required

The shaded region

We have:

$l =30$ --- length of the rectangle

This means that the diameters of the three circles add up to 30m.

So, the diameter of 1 is:

$d = l/3$

$d = 30/3$

$d = 10$

The area of one circle is:

$A_1 = \pi * \frac{d^2}{8}$

$A_1 = 3.14 * \frac{10^2}{8}$

$A_1 = 3.14 * \frac{100}{8}$

$A_1 = 39.25m^2$

The area of the three circles is:

$A_2 = 3 * A_1$

$A_2 = 3 *39.25m^2$

$A_2 = 117.75m^2$

The area of the rectangle is:

$A_3 = 30 * r$

Where r is the radius of the circle

And

$r =d/2$

$r =10/2$

$r =5$

So, we have:

$A_3 = 30 * r$

$A_3 = 30 * 5$

$A_3 = 150$

So, the shaded region is:

$A_4 = A_3 - A_2$

$A_4 = 150 - 117.75$

$A_4 = 32.25m^2$

8 0

3 years ago

What is the equation, in slope-intercept form, of the line

Serga [27]

Answer: y=3x-7

Step-by-step explanation:

(2,2) and (-1,3) lie on the given line, so its slope is $\frac{3-2}{-1-2}=-\frac{1}{3}$

Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.

Substituting into point slope form,

$y+1=3(x-2)\\y+1=3x-6\\\boxed{y=3x-7}$

3 0

2 years ago

What is the ratio of chicks to dogs? Answer in fraction form.

Georgia [21]

Answer:

The ratio of cats to dogs is 2:1 The ratio of dogs to cats is 1:2 or half as many dogs as cats. There are six cats and three dogs.

Step-by-step explanation:

one and two

4 0

2 years ago

Ted borrowed $100 from 2 years at a 10% interest rate. How much interest will he pay on the loan? What will be the total amount

mr_godi [17]

Answer:

Interest = $20

Amount due = $120

Step-by-step explanation:

This is a Simple Interest problem. Simple interest is given as:

I = (P * R * T) / 100

Where I = interest

P = principal or amount loaned

R = rate of interest

T = time elapsed

Ted borrowed $100 from 2 years at a 10% interest rate.

This means that P = $100, R = 10%, T = 2 years.

Hence, the interest will be:

I = (100 * 10 * 2) / 100

I = 2000 / 100

I = $20

The interest after two years will be $20.

Therefore, the total amount due at the end of the loan is:

A = P + I

A = 100 + 20 = $120

The amount due is $120.

5 0

4 years ago

Round 1.5 to one decimal place

xxMikexx [17]

If the last digit in 1.50 is less than 5, then remove the last digit.

If the last digit in 1.50 is 5 or more and the second to the last digit in 1.50 is less than 9, then remove the last digit and add 1 to the second to the last digit.

If the last digit in 1.50 is 5 or more and the second to the last digit in 1.50 is 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the left of the decimal place.

When rounding 1.50 to one decimal place we use One Decimal Place Rule #1. Therefore, the answer to "What is 1.50 rounded to 1 decimal place?" is:

1.5

3 0

3 years ago

Read 2 more answers