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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

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the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the numbe

vaieri [72.5K]

Answer:

yn +y -xn

Step-by-step explanation:

Mean= sum of numbers ÷number of numbers

x= sum of n numbers ÷n

Multiply both sides by n:

xn= sum of n numbers

sum of n numbers= xn -----(1)

Let the number added be a.

After a has been added,

y= (sum of n numbers +a) ÷(n+1)

Multiply both sides by (n +1):

y(n +1)= sum of n numbers +a

sum of n numbers= y(n +1) -a -----(2)

Substitute (1) into (2):

xn= y(n +1) -a

Expand:

xn= yn +y -a

a= yn +y -xn

Let's check!

Let the numbers be 1, 2, 3 and 4.

mean, x= 10 ÷4= 2.5

n= 4

Let the new number added, a, be 7.

a= 7

mean, y= 17 ÷5= 3.4

a= yn +y -xn

a= 3.4(4) +3.4 -2.5(4)

a= 7

Thus, the expression is true.

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3 years ago

For right triangle ABC, find the sine ratio of angle θ.

Ket [755]

The sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle showing in a picture.

As we know, the sin is the ratio to opposite to the hypotenuse.

Sinθ = 4/5

Thus, the sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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2 years ago

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Sauron [17]

Answer:

Step-by-step explanation:

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$a_n}$ = a₁ + (n - 1)d

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Here a₁ = 1 and d = 3, thus

$a_{n}$ = 1 + 3(n - 1) = 1 + 3n - 3 = 3n - 2 → C

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3 years ago

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gulaghasi [49]

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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