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andriy [413]
4 years ago
8

Find the lengths of the sides of this rectangle

Mathematics
1 answer:
Dmitriy789 [7]4 years ago
3 0
P=2(L+W)
114=2(2x-3+x)
114=4x-6+2x
114=6x-6
120=6x
x=20
width=20
L=2x-3
L=2(20)-3
L=40-3
L=37
length=37

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4 0
4 years ago
***WILL MAKE BRAINLIEST***
charle [14.2K]

The value of x is 3.

Solution:

Length of the top rectangle = x ft

Width of the top rectangle = x ft

Height of the top rectangle = 3x ft

Volume of the top rectangle =x \times x\times 3x

                                               =3x^{1+1+1}

Volume of the top rectangle =3x^3 cubic feet

Length of the bottom rectangle = x\sqrt{2} ft

Width of the bottom rectangle = x\sqrt{2} ft

Height of the bottom rectangle = 0.5 ft

Volume of the bottom rectangle =x\sqrt{2}  \times x\sqrt{2} \times 0.5

                                                      =2x^{1+1}\times 0.5

Volume of the bottom rectangle =x^2 cubic feet

Total concrete for both pieces = 90 cubic feet.

Volume of top + volume of bottom = 90 cubic feet

3 x^{3}+x^{2}=90

3 x^{3}+x^{2}-90=0

Solve by factoring.

(x-3)\left(3 x^{2}+10 x+30\right)=0

x = 3, \left(3 x^{2}+10 x+30\right)=0

Solve using quadratic formula,

x=3, x=-\frac{5}{3}+i \frac{\sqrt{65}}{3}, x=-\frac{5}{3}-i \frac{\sqrt{65}}{3}

Ignore the complex roots.

The value of x is 3.

6 0
4 years ago
Given the replacement set { 0, 1, 2, 3, 4 }, solve 7x – 3 = 18.
finlep [7]
B
7(3)-3=18
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3 0
3 years ago
Put these points into an equation IN STANDARD FORM!!!!!!<br><br>(0,2) and (8,0)
zubka84 [21]

The equation of the line in standard form is x + 4y = 8

<h3>How to determine the line equation?</h3>

From the question, the points are given as

(0, 2) and (8, 0)

To start with, we must calculate the slope of the line

This is calculated using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 2) and (8, 0)

Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

Slope = (0 - 2)/(8 - 0)

Evaluate

Slope = -1/4

The equation of the line can be calculated using as

y - y₁ = m(x + x₁)

Where

(x₁, y₁) = (0, 2)

and

m = slope = -1/4

Substitute the known values in the above equation

So, we have the following equation

y - 2 = -1/4(x - 0)

This gives

y - 2 = -1/4x

Rewrite as

1/4x + y = 2

Multiply by 4

x + 4y = 8

Hence, the line has an equation of x + 4y = 8

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

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1 year ago
68 page in 34 minutes how many pages can read in one min
Vsevolod [243]

Answer:

2

Step-by-step explanation:

3 0
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