All categories

3 years ago

This Question: 1 pt

Mathematics

1 answer:

horrorfan [7]3 years ago

8 0

Answer: the length of the field is 70 yards. The width of the field is 35 yards

Step-by-step explanation:

Let L represent the length of the rectangular athletic field.

Let W represent the width of the rectangular athletic field.

A rectangular athletic field is twice as long as it is wide. This means that

L = 2W

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

If the perimeter of the athletic field is 210 yards, it means that

210 = 2(L + W)

L + W = 210/2 = 105

Substituting L = 2W into L + W = 105, it becomes

2W + W = 105

3W = 105

W = 105/3 = 35

L = 2W = 2 × 35

L = 70

You might be interested in

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

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. If c represents the cost

amm1812

The original price is c. Then the grocery bill will be: c - 0.05c = 0.95 c. You can also say since the beggining that 5% disscount implies 0.95 factor, which leads to c * 0.95 = 0.95c. Sorry if it’s wrong

3 0

2 years ago

6th grade math help me plzzz

Brut [27]

Answer:

a summary is an average and an average is mean

Step-by-step explanation:

to get the mean add all the cakes sold together then divide by number of years

21+28+19+26+21=115

115/5=23

so....

first one: mean