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dem82 [27]
2 years ago
7

The length of each side of a square prism is ten feet. Find the total surface area of this

Mathematics
1 answer:
finlep [7]2 years ago
3 0

Answer: 600 Feet squared

Step-by-step explanation:

Front + Back sides= 2 x 10 x 10=200

Left + Right sides= 2 x 10 x 10=200

Top + Bottom sides= 2 x 10 x 10=200

200+200+200=600

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Perform the indicated operation: (x 2 -5x+2)+( x 2 +4x+5)-( x 2 -6x-42)
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Stefan spent half of his weekly allowance on clothes. To earn more money his parents let him wash the car for $5
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Candidates running for office are handing out items to voters. Every 6th voter gets a button. Every 7th voter gets a sticker.
e-lub [12.9K]

The computation shows that the voter is the first to receive both items is A. the 42nd voter.

<h3>How to compute the value?</h3>

From the information, the candidates running for office are handing out items to voters as every 6th voter gets a button while every 7th voter gets a sticker.

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6 0
1 year ago
What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the
kirza4 [7]

<u>ANSWER</u>: The centroid is (1,3)


<u>Explanation:</u>

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.


Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.


We find the midpoint of AC using the formula;

N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})



N=(\frac{-3+5}{2}, \frac{1+2}{2})


N=(\frac{2}{2}, \frac{3}{2})


N=(1, \frac{3}{2})


The equation of the median passes through B(1,6) and N=(1, \frac{3}{2}).


This line is parallel to the y-axis hence has equation

x=1-------first median.



We also find the midpoint M of BC.

M=(\frac{1+5}{2}, \frac{6+2}{2})


M=(\frac{6}{2}, \frac{8}{2})


M=(3, 4)


The slope of the median, AM is


Slope_{AM}=\frac{4-1}{3--3}


Slope_{AM}=\frac{3}{6}


Slope_{AM}=\frac{1}{2}


The equation of the median AM is given by;


y-y_1=m(x-x_1)


We use the point M and the slope of AM.


y-4=\frac{1}{2}(x-3)


2y-8=(x-3)


2y-x=-3+8


2y-x=5-------Second median

We now solve the equation of the two medians simultaneously by putting x=1 in to the equation of the second median.


2y-1=5


2y=5+1


2y=6


y=3


Hence the centroid has coordinates (1,3)























7 0
3 years ago
Read 2 more answers
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