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IrinaVladis [17]
2 years ago
9

Find two consecutive positive integers such that the square of the first decreased by

Mathematics
1 answer:
dsp732 years ago
7 0

Answer:

2 is the answer

Step-by-step explanation:

hope it helps

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Please i need help asap
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You would have to divide the categories over the budget. after you divide, you would end up with a decimal, so you to convert it into a percentage, you would simply multiply it by 100.

clothing: 6%
housing: 22%
insurance: 8%
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2 years ago
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Which best describes reduced fractions that will always terminate?
lesya692 [45]

Answer:Which fraction is a terminating decimal when written in decimal form?

Step-by-step explanation:1+1=2

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2 years ago
The three angles of a triangle are in the ratio 5:4:1. Find all the angles of the triangle.
solniwko [45]

Answer:

Step-by-step explanation:

let the first angle be 5x

second be 4x

and third be 1x

as we know that by adding all the sides of triangle we get 180°

therefore  ,

5x+4x+1x=180°

10x=180°

hence ,  

x=18°

first angle - 18*5 = 90°

second angle - 18*4=72°

third angle - 18°

HOPE THIS HELPS YOU !!!

6 0
3 years ago
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A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner
algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by  using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

V=x(216-24x-36x+4x^{2})

V=x(4x^{2}-60x+216)

V=4x^{3}-60x^{2}+216x

So now we can find the derivative of the volume:

V'=12x^{2}-120x+216

and set it equal to zero, so we get:

12x^{2}-120x+216=0

and now we can solve. We can start by factoring the left side of the equation, so we get:

12(x^{2}-10x+18)=0

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}

so we substitute the corresponding values:

x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

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3 years ago
Solve the quadratic equation<br> (x+2)^2=1
bagirrra123 [75]

Answer: x = -1, -3

Step-by-step explanation:

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2 years ago
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