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pav-90 [236]
3 years ago
5

Tawnee is designing a playground in the shape of a rectangle. If Tawnee increases the length and width of the playground by a sc

ale factor of 2
what will be the resulting effect on the perimeter of the new playground?
The perimeter of the new playground will be half the perimeter of the original playground
The perimeter of the new playground will be 1/4 the perimeter of the original playground
The perimeter of the new playground will be twice the perimeter of the original playground
O The perimeter of the new playground will be four times the perimeter of the original playground
Mathematics
2 answers:
Sphinxa [80]3 years ago
5 0

Answer:

I think it is the 3rd one The perimeter of the new playground will be twice the perimeter of the original playground

Step-by-step explanation:

give brainliest plz

svetlana [45]3 years ago
4 0

Answer:

We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

Step-by-step explanation:

We know that the perimeter of a rectangle = 2(l+w)

i.e.

P = 2(l+w)

Here

  • 'l' is the length
  • 'w' is the width

Given that the length and width of the playground by a scale factor of 2

A scale factor of 2 means we need to multiply both length and width by 2.

i.e

P = 2× 2(l+w)

P' = 2 (2(l+w))

    = 2P      ∵ P = 2(l+w)

Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

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Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144
Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Read more about polynomials at:

brainly.com/question/20896994

5 0
2 years ago
What is the sum of the first 75 even numbers starting with 2? Enter your answer in the box.
vova2212 [387]

Answer:

5700

Step-by-step explanation:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The number series 2, 4, 6, 8, 10, 12, .  .  .  .  , 150.

The first term a = 2

The common difference d = 2

Total number of terms n = 75

step 2 apply the input parameter values in the AP formula

Sum = n/2 x (a + Tn)

= 75/2 x (2 + 150)

= (75 x 152)/ 2

= 11400/2

2 + 4 + 6 + 8 + 10 + 12 + .  .  .  .   + 150 = 5700

Therefore, 5700 is the sum of first 75 even numbers.

6 0
3 years ago
Read 2 more answers
Can someone solve for x
melisa1 [442]

Answer:

x=7 because 25-4=21 and 21 ÷3=7

4 0
3 years ago
Read 2 more answers
Can some one help me on this
Vilka [71]
28 divided by 4 = 7
so do 7 * 5 which is 35 so they make 35 cookies in 5 seconds
4 0
2 years ago
Find the area of the circle. Round your answer to the nearest hundredth 3in
FrozenT [24]

Answer:

28.26 square inches

Step-by-step explanation:

Formula for area of a circle:

A=\pi r^2

Radius is 3.

A= \pi (3)^2\\A=\pi 9

Use 3.14 for pi:

A = 3.14 * 9 = 28.26\\A=28.26

The area should be 28.26 square inches.

4 0
3 years ago
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