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sesenic [268]
2 years ago
6

https://brainly.com/question/23910386 go here and make it blow up share this to and who ever dose it gets brainlest so you have

to say thanks and give me 5 stars and u have to comment so i know u did it
Mathematics
1 answer:
lutik1710 [3]2 years ago
3 0

Answer:

lol ok

have a good day :)

Step-by-step explanation:

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A shed has dimensions of 12m in length and 5 m in width. Both the length and width are increased by the same amount in order to
mestny [16]

The amount by which the length and width of a shed can be increased to

more than double the area, depends on the initial dimensions.

  • The amount that can be added to both the length and the width to increase the floor area by more than double the original area is more than <u>3 meters</u>.

Reasons:

The given parameters of the shed are;

The length of the shed = 12 m

Width of the shed = 5 m

The amount by which the length and the width are increased = The same amount

The new area after the increase in the length and width of the shed = More than double the initial area

Required:

The amount of increase in the length.

Solution:

Let the amount by which the length and width are increased = x

We have;

Initial area of the shed = 12 m × 5 m = 60 m²

The new area = (12 + x) × (5 + x) > 2 × 60

By multiplication, we get;

(12 + x) × (5 + x) = x² + 17·x + 60 > 2 × 60 = 120

x² + 17·x + 60 - 120 > 120 - 120 = 0

x² + 17·x - 60 > 0

By factorization, we get;

(x + 20)·(x - 3) > 0

x > -20, or x > 3

The increase (positive) amount of the solution is x > 3

Therefore, <u>the amount by which both the length and the width can be increased to more than double the area is x > 3 meters</u>

Learn more about the area of a rectangle here:

brainly.com/question/16410706

7 0
2 years ago
The crayon balloon is made up of a cone and a cylinder. What is the volume, in cubic inches, of the crayon balloon?
gavmur [86]

Answer:

A. 69.12 in.³

Step-by-step explanation:

Volume of the crayon balloon = volume of the cone + volume of the cylinder

= ⅓πr²h + πr²h

✔️Volume of Cone = ⅓πr²h

r = ½(2) = 1 in.

h = 3 in.

Volume of cone = ⅓*π*1²*3 = 3.142 in.³

✔️Volume of Cylinder = πr²h

r = ½(2) = 1 in.

h = 21 in.

Volume of Cylinder = π*1²*21 = 65.97 in.³

✅Volume of the crayon balloon = 3.14 + 65.973 = 69.115

= 69.12 in.³ (nearest hundredth)

6 0
3 years ago
Can someone help me with this math hw ​
AveGali [126]

Answer:

Step-by-step explanation:

F(x) = x² - 2x + 1

      = (x - 1)²

By comparing this equation with the vertex form of the quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex

Vertex of the parabola → (1, 0)

x-intercepts → (x - 1)² = 0

                       x = 1

y-intercepts → y = (0 - 1)²

                       y = 1

Now we can draw the graph of the given function,

From this graph,

As x → 0,

\lim_{x \to 0^{-}} (x-1)^2=1

\lim_{x \to 0^{+}} (x-1)^2=1

f(0) = (0 - 1)²

     = 1

Since, \lim_{x \to 0^{-}} (x-1)^2=\lim_{x \to 0^{+}} (x-1)^2=1

Therefore, given function is continuous at x = 0.

8 0
2 years ago
Pleaseeee helpp answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Pavel [41]

Answer:

x = 87º

Step-by-step explanation:

opposing angles in quadrilaterals are equal, so x = 87º

5 0
3 years ago
Read 2 more answers
QUESTION 9 of 10: You are considering leasing a store site that has 1,800 square feet. The landlord is asking for rent of $55 pe
algol [13]
B) $8,250

explanation: since you have a total of 1800 sq ft and it’s $55 dollars per sq ft for the yr, you would start by finding how much it would cost for a year by taking $55 x 1800 sq ft= $99,000 then since you are trying to find the rent for a month you would take the yr value ($99,000) and divide it by 12 since there are 12 months in a yr
99,000/12 = $8,250
6 0
3 years ago
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