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tatiyna
3 years ago
14

A rectangular box has a height of 10 cm. If the width is 1.5 times the height and the depth is the length of the width, what is

the surface area of the rectangular box in square centimeters?
Mathematics
2 answers:
Ludmilka [50]3 years ago
5 0
Surface area = 2 * ( height*width  +    height * length   +   width * length )
PolarNik [594]3 years ago
5 0
Width: 1.5×10=15
depth: width=15
height: 10
2(10×15+15×15+15×15)
=2(150+225+225)
=2(600)
=1200
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What value for C will make the expression a perfect square trinomial x2-7x+c
Tom [10]

Answer:

The value of c is 12.25

Step-by-step explanation:

we know that

A perfect square trinomial is of the form

(x-a)^{2}=x^{2}-2ax+a^{2}

In this problem we have

x^{2}-7x+c

so

equate the equations

x^{2}-7x+c=x^{2}-2ax+a^{2}

we have

the following equations

-7x=-2ax -----> equation A

and

c=a^{2} -----> equation B

<u>Solve the equation A</u>

-7x=-2ax

7=2a

a=3.5

<u>Solve the equation B</u>

c=a^{2}

c=3.5^{2}=12.25

therefore

(x-3.5)^{2}=x^{2}-7x+12.25

The value of c is 12.25

7 0
3 years ago
Read 2 more answers
Evaluate the variable expression x + y for the given values of x and y . X=43.37 ; Y=18.24
cupoosta [38]

Answer:

61.61

Step-by-step explanation:

In the expression now that we know the value of x and y, we can replace it with its values. So it would look like this.... 43.37 + 18.24. This equals 61.61.

Hope this helps!

4 0
3 years ago
A gas pump measures volume of gas to the nearest 0.01 gallon. Which measurement shows an appropriate level of precision for the
PSYCHO15rus [73]

Answer:

12.3 Gallons

Step-by-step explanation:

Options of the question:-

Option A. 12.33 gallons

Option B. 10 gallons

Option C. 12 gallons

Option D. 12.3 gallons

Option D is the answer :-

As the least count or zero error is 0.1 so it can measure only upto one decimal place so answer will be 12.3

5 0
3 years ago
Events A and B are mutually exclusive. Also P(A) =0.2 and P(B) = 0.37. What is P(A or B)
Alchen [17]

Answer:

0.074

Step-by-step explanation:

cause in probability when two events are exclusive we use multiplication rule

7 0
3 years ago
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim
pogonyaev

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by \alpha=1-0.80=0.20 and \alpha/2 =0.10. And the critical value would be given by:

z_{\alpha/2}=\pm 1.28

Solution to the problem

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

Since we don't have prior info for the proportion of interest we can use \hat p=0.5 as estimator. And on this case we have that ME =\pm 0.025 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

5 0
3 years ago
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