MATHEMATICS MIDDLE SCHOOL

How many square feet of outdoor carpet will we need for this hole?

Answers

Answer 1

Answer:

Answer:

6 square feet of outdoor carpet will be needed for the given hole.

Step-by-step explanation:

We need to find how many square feet of outdoor carpet will be needed for the hole.

So, to find the required outdoor carpet we need to calculate the area of the hole.

Now, from the diagram, the hole is in the shape of a rectangle.

So, Area or rectangle = Length × width

Length = 3 feet and Width = 2 feet

⇒ Area = 3 × 2 = 6 feet²

Hence, 6 square feet of outdoor carpet will be needed for the given hole.

Answer 2

Answer:

The area of the outdoor carpet given in the image is gotten as; 36 ft²

What is the required area of the shape?

We can see the shape of the outdoor carpet is a triangle. However, a rectangular shape is cut out of it. Thus;

Area of outdoor carpet = (Area of triangle) - Area of rectangle

Area of triangle = ½ × base × height

Area of triangle = ½ × 7 × 12

Area of triangle = 42 ft²

Area of rectangle = 3 * 2

Area of rectangle = 6 ft²

Thus;

Area of outdoor carpet = 42 - 6

Area of outdoor carpet = 36 ft²

Read more about Area of a triangle at; brainly.com/question/17335144

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Select all rational numbers I need help asap

Answers

the correct answers are a, c, & d. any numbers including a square root sign or pi are not rational numbers!

Your dog is 16 years old in dog years. Your cat is 28 years old in cat years. For every human year, your dog ages by 7 dog years and your cat ages by 4 cat years. In how many human years will both pets be the same age in their respective types of years?

Answers

This question is based on the concept of graphical method. Therefore, In 4 years, human years will both pets be the same age in their respective types of years.

Given:

Your dog is 16 years old in dog years.

Your cat is 28 years old in cat years.

For every human year, your dog ages by 7 dog years and your cat ages by 4 cat years.

Let x be the no. of human yrs.

We have to find x such that age is same for dog and cat in their respective year i.e.

16 + 7x = 28 + 4x

Write above equation as follows and solve it graphically,

y = 16 + 7x

y = 28 + 4x

From the graph, it is observe that. Attachment is below.

Point of intersection is (4, 44). Thus, solution of equation is x =4.

Now put the value x = 4 in equation 16 + 7x = 28 + 4x.

We get,

16 + 7(4) = 28 + 4(4)

44 = 44

Therefore, In 4 years, human years will both pets be the same age in their respective types of years.

For more details, prefer this link:

brainly.com/question/14792779

What is the value of (-5)^4?

Answers

Answer:

There you go mate!

Step-by-step explanation:

The answer to (-5)^4 is 625

8/9x=8+4/9x thank you!

Answers

x in (-oo:+oo)

(8/9)*x = (4/9)*x+8 // - (4/9)*x+8

(8/9)*x-((4/9)*x)-8 = 0

(8/9)*x+(-4/9)*x-8 = 0

4/9*x-8 = 0 // + 8

4/9*x = 8 // : 4/9

x = 8/4/9

x = 18

x = 18

x=18
steps:

subtract 4/9 from both sides and you have
4/9x=8

then divide 8 by 4/9 (or multiply by the reciprocal 9/4)

9x8= 72
4x1 =4

72/4 simplifies down to 18
x=18

Hope this Helped!!

A bicycle lock requires a two-digit code of numbers 1 through 9, and any digit may be used only once. Whichexpression would determine the probability that both digits are even?
P(both even) - POM).
P(both even) = 491)36)
.
P(both even) = (PGP).
5P2
P(both even) = 6)66).