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Shalnov [3]
2 years ago
10

shawn is shoppping for a rug for his dinning room. the rectangular sug he likes measures 5 feat by 7 feet. what is the area of t

he rug?
Mathematics
1 answer:
Ganezh [65]2 years ago
3 0

Answer:

<u>35 square feet</u>

Step-by-step explanation:

Area of the rug :

  • Length x width
  • 7 x 5
  • <u>35 square feet</u>
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A rectangle park measures 300 ft by 400 ft. A sidewalk runs diagonally from one comer to the opposite corner. Find the length o
DochEvi [55]

The length of side walk is 500 feet

<em><u>Solution:</u></em>

Given that, A rectangle park measures 300 ft by 400 ft

Length = 300 feet

Width = 400 feet

A sidewalk runs diagonally from one comer to the opposite corner

We have to find the length of side walk

Which means, we have to find the length of diagonal of rectangle

<em><u>The diagonal of rectangle is given by formula:</u></em>

d = \sqrt{w^2+l^2}

Where,

d is the length of diagonal

w is the width and l is the length of rectangle

<em><u>Substituting the values in formula, we get</u></em>

d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500

Thus length of side walk is 500 feet

5 0
3 years ago
Without using a calculator, determine the number of real zeros of the function
kumpel [21]

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

<h3>How to determine the number of real zeros?</h3>

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

f(x) = (x + 3)(x + 2)(x- 1)

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

Read more about functions at:

brainly.com/question/7784687

#SPJ1

3 0
2 years ago
Explain why (a+b)^2 = a^2+b^2 if and only if a=0 or b=0
const2013 [10]

Hope this helps! Because when you would fill in the variables 0=0 which which make the expression too that they’d equal the same.

7 0
2 years ago
The volume of a sphere is increased by 6%. Calculate the corresponding percentage increased in it area.
lions [1.4K]

Answer:

The new volume will be V + 0.06V or 1.06V

Step-by-step explanation:

The volume of the sphere increased by 6% or 0.06V. This means the total volume of the sphere will be V + 0.06V or 1.06V.


3 0
3 years ago
WORD PROBLEMS
kotegsom [21]

Answer:

The answer is

Step-by-step explanation:

Step by step

3 0
2 years ago
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