The perimeter of a rectangular field is 344 yards. If the width of the field is 74 yards, what is its length

Answers

Answer 1

Answer: The perimeter of a rectangle is the length of two widths plus two lengths. You have the width as 74 yard so your formula is 2(74) + 2L = 344. 2x74=148 so 148 + 2L=344. Subtract 148 from both sides and get 196. 2L=196. Divide both sides by 2 and you get L= 98

Answer 2

Answer:

P = 2L + 2w

344 = 2L + 2·74

344 - 148 = 2L

2L = 196

L = 196 : 2

L = 98 yards

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the sun is about 93x10 to the power of 6 miles from earth what this distance written as a whole number?

Answers

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A satellite television company charges a one-time installation fee anda monthly service charge. The total cost is modeled by the function
y = 40 + 90x. Which statement represents the meaning of each part
of the function?
(1) y is the total cost, x is the number of months of service,
$90 is the installation fee, and $40 is the service charge per
month.
(2) y is the total cost, x is the number of months of service,
$40 is the installation fee, and $90 is the service charge per
month.
(3) x is the total cost, y is the number of months of service,
$40 is the installation fee, and $90 is the service charge per
month.
(4) x is the total cost, y is the number of months of service,
$90 is the installation fee, and $40 is the service charge per
month.

Answers

Answer:

Option (2).

Step-by-step explanation:

A satellite T.V. company charges one time installation fees along with monthly service charge.

Total cost is modeled by the function y = 40 + 90x

Here y = Total cost charged by the company

A one time installation charges = $40

Service charge for a month = $90

and number of months for which service was used = x months

Therefore, Option (2) explains the function well.

the answer is 2 y= total installation cost. x is the variable representing the number of months of service and $40 is the fixed price while $90 is dependent on the xvalue

What is 5 1/2% tax on $20?

Answers

5.5 move decimal place over twice 20*.055 =$1.1 in sales tax

5 1/2 percent must be converted to decimal form first to calculate immediately the value of 5 1/2 percent of $20. 5 1/2 percent over 100 percent is equal to 0.055. The product therefore is equal to 0.055*$20 equal to $1.1. The final answer is $1.1. The unit $ remains the same

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2).Which expression can be used to find the area of triangle RST?

(8 ∙ 4) - One-half (10 + 12 + 16)
(8 ∙ 4) - (10 + 12 + 16)
(8 ∙ 4) - One-half (5 + 6 + 8)
(8 ∙ 4) - (5 - 6 - 8)

Answers

Based on the coordinate plane, a mathematical expression which can be used to find the area of triangle RST is: A. [(8 × 4) - 1/2 × (10 + 12 + 16)].

What is a triangle?

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

How to calculate the area of a triangle?

Mathematically, the area of the triangle is given by the formula:

$Area = (1)/(2)* base * height$

In this scenario, the mathematical expressions that would be used to find the area of triangle RST with points (-5, 6), (3, 4) and (-2, 2) are given by:

Area of rectangle = LW = 8 × 4

Area of triangle 1 = 1/2 × (2 × 5) = 1/2 × 10

Area of triangle 2 = 1/2 × (3 × 4) = 1/2 × 12

Area of triangle 3 = 1/2 × (2 × 8) = 1/2 × 16

The area of triangle RST = [(Area of rectangle) - 1/2 × (Area of triangle 1 + Area of triangle 2 + Area of triangle 3)].

Substituting the parameters into the formula, we have;

The area of triangle RST = [(8 × 4) - 1/2 × (10 + 12 + 16)]

Read more on area of triangle here: brainly.com/question/21917592

Answer:

(8 ∙ 4) - One-half (10 + 12 + 16)

Step-by-step explanation:

Find z

Help me please

Answers

Answer: z=56

Step-by-step explanation:

Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.

3y+8=68 [subtract both sides by 8]

3y=60 [divide both sides by 3]

y=20

We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.

360-68-68=224

Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.

Equation 1: 4x=2z

Equation 2: 4x+2z=224

We can manipulate Equation 1 to be $x=(1)/(2)z$ . Once we plug that into Equation 2, we can find the value of z.