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fomenos
3 years ago
5

A lawn had a length of 10 feet and a width

Mathematics
1 answer:
BigorU [14]3 years ago
5 0
36 square feet
10 plus 10 is 20 plus 8 plus 8 is 16
so 20+16 =36
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A box witxh a height (x+5) cm has a square base with side x com. A second box with height (x+2) com has a square base with side
Eva8 [605]

Answer:

x=5.37 cm

Step-by-step explanation:

we know that

The volume of the box is

V=Bh

where

B is the area of the base of the box

h is the height of the box

<em>Box 1</em>

we have that

The area of the base is

B=x^2\ cm^2

h=(x+5)\ cm

The volume of the Box 1

is equal to

V_1=x^2(x+5)\ cm^3

V_1=(x^3+5x^2)\ cm^3

<em>Box 2</em>

we have that

The area of the base is

B=(x+1)^2\ cm^2

h=(x+2)\ cm

The volume of the Box 2

is equal to

V_2=[(x+1)^2(x+2)]\ cm^3

V_2=[(x^2+2x+1)(x+2)]\ cm^3

V_2=(x^3+2x^2+x+2x^2+4x+2)\ cm^3

V_2=(x^3+4x^2+5x+2)\ cm^3

Equate the equation of Volume 1 to the equation of Volume 2

(x^3+5x^2)=(x^3+4x^2+5x+2)

(5x^2)=(4x^2+5x+2)

5x^2-4x^2-5x-2=0

x^2-5x-2=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=5.37 cm

see the attached figure

8 0
4 years ago
school district ordered 247 boxes of pencils. Each box coA school district ordered 247 boxes of pencils.Each box contains 100 pe
exis [7]

Step-by-step explanation:

2,470 pencils each class room gets

247 * 100 = 24,700

24,700 / 10 = 2470

3 0
3 years ago
Janaina is trying to solve the following equation by completing the square: x^2+18x-9 = 0.She successfully rewrites the above eq
valentinak56 [21]
The Answer Is :
c = x^2 + 2bx + b^2
3 0
4 years ago
Whoever answers first will get brainiest!
Semenov [28]
Possibly I believe 14
8 0
3 years ago
Read 2 more answers
need this answered asap Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x
torisob [31]

The function that has a minimum and is transformed to the right and down from the parent function is; g(x) = 8(x² - 3²) - 5

<h3>How to Interpret Functions?</h3>

By inspection, only Functions B) and D) have a minimum.

For the first function in option B, we have:

g(x) = 4(x²- 6x + 9) + 1

This can be simplified to;

g(x) = 4( x - 3 )² + 1

Thus, we can say that this first function is transformed to the right and up from the parent function.

For the second function in option D, we have;

g(x) = 8(x² - 6x + 9 ) - 5

The function can be simplified to get;

g(x) = 8( x - 3 )² - 5

Thus, we can say that it is transformed to the right and down.

The function that has a minimum and is transformed to the right and down from the parent function is D

Learn more about Functions on;

brainly.com/question/13136492

#SPJ1

6 0
2 years ago
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