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Dvinal [7]
3 years ago
7

Please Help

Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

23

Step-by-step explanation:

-The length of the cubes side is (x-5) and the total surface area is 1944 sq units.

-We apply the formula for surface area and equate to solve for x:

A=6s^2\\\\1944=6(x-5)^2\\\\324=(x-5)^2\\\\324=x^2-10x+25

#Equate to zero as below:

324=x^2-10x+25\\\\x^2-10x+25-324=0\\\\x^2-10x-299=0\\\\\# Quadratic \ Formula:\\\\x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\=\frac{10\pm\sqrt{(-10)^2-4(1\times-299)}}{2\times1}\\\\x_1=23, \ \ \ x_2=-13

length dimensions are always positive.

Hence, the value of x is 23

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What is the equation, in slope-intercept form, of the line that is perpendicular to the line
Len [333]

Answer:

y = x - 1 (third answer choice)

Step-by-step explanation:

From the given we see immediately that the slope of this line is -1.  The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1.  The slope-intercept form is y = mx + b.  To find b, the y-intercept, we make the following substitutions:  m = -1, y = -2, x = -2:

-2 = +1(-2) + b, or +1 = 2 + b, or b = -1

and so the desired equation is y = x - 1 (third answer choice)

4 0
3 years ago
A business was valued at £17000 at the start of 2011. In 6 years, the value of this business was raised to £186000. This is equi
NemiM [27]

The business was valued at £17000 at the start of 2011. In 6 years, the value of this business was raised to £186000. This is equivalent to a yearly increase of 49.0%.

Given that, A=£17000, P=£186000, r=x%, t=6 years

<h3>What is compound interest?</h3>

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

We know that, A=P(1+\frac{r}{100} )^{n}

Wow, 186000=17000(1+\frac{x}{100} )^{6}

⇒10.94=(1+\frac{x}{100} )^{6}

⇒1.4891=1+\frac{x}{100}

⇒0.4891=\frac{x}{100}

⇒x=48.91%~49.0%

Therefore, the value of x is 49.0%.

To learn more about compound interest visit:

brainly.com/question/13001287

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7 0
1 year ago
HELPPPOPP giving braniliest again and again!!
djyliett [7]

Answer:

6 and 48

Step-by-step explanation:

when t=1, the expression is 6

when t=4, the expression is 48

:)

8 0
1 year ago
Read 2 more answers
To make lemonade, Andy adds
JulsSmile [24]

Answer:

64/3 tablespoons of sugar for 32 ounces of water

Step-by-step explanation:

In these kinds of questions it is nice to find how muc of 1 thing there is for every ONE of another.  so 8 tablespoons of sugar for 12 ouncesof water you can divide both sides by 8 or 12.

Dividing it by 8 gets 8/8 = 1 tablespoon of sugar for 12/8 = 1.5 ounces of water.

Dividing by 12 gets 8/12 = 2/3 tablespoon of sugar for 12/12 = 1 ounce of water.

Now you can take one or the other and multiply it to fit whichever you want to fit a ratio.

It asks what happens if you use 32 ounces of water, so lets use the ratio where we hae 1 ounce, then multiply everything by 32.

2/3 tablespoon of sugar for 1 ounce of water

Multiply by 32 and you get 32*(2/3) = 64/3 tablespoons of sugar for 32 ounces of water

3 0
3 years ago
If 1/2 equals .5 what does it equal as a percentage
Dmitriy789 [7]
To convert decimal over to percent, we move the decimal place two places to the right. So 0.5 becomes 50%.
6 0
3 years ago
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