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Shtirlitz [24]
3 years ago
10

A roof in the shape of a half-cylinder covers the a local soccer field so kids can play soccer

Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer:

6,280 ft³

Step-by-step explanation:

To find lateral surface area, use the formula L = 2\pirh, then plug in the values:

L = 2(3.14)(25)(80)

L = 12,560 ft³

Since its a half cylinder, we have to divide this by 2:

12,560/2 = 6,280

So, the lateral area of the roof is 6,280 ft³

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Abbi has $400 in $5 bills. If she has 38 bills, how many of them are $20?
Sergio039 [100]
F=5 dollar bills
t=twent dollar bills

38 total bills
f+t=38

400 in bills
400=5f+20t

we have
f+t=38
5f+20t=400
multipy first equation by -5 and add to second equation

-5f-5t=-190
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3 0
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A line is defined by the equation 2x+y -4. Which shows the graph of this line?
Nitella [24]

Answer:

Not sure if you mean 2x+y=-4 or 2x+y=4

either way put it in y=mx + b form (slope intercept)

Step-by-step explanation:

so for 2x+y = -4 first move everything away from the side with "y" by -2x from each side you get y= -2x+ -4 so m= -2/1 (slope) and b= -4 the place the line crosses the y axis

so for 2x+y = 4 first move everything away from the side with "y" by -2x from each side you get y= -2x+ 4 so m= -2/1 (slope) and b= 4 the place the line crosses the y axis

3 0
3 years ago
Find the distance between two points: (5,3),(8,5)​
kozerog [31]

Answer:

\displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}}

<em>OR </em><em>in </em><em>Decimal</em>,

\boxed{\rm \: Distance=\underline{\underline{3.605}}}

Step-by-step explanation:

<u>Given:</u>

Two points, that is (5,3) & (8,5)

<u>To Find:</u>

The Distance of the two given points

<u>Solution:</u>

To Find the distance between two points, we will use the <u>distance</u> <u>formula</u>, i.e. :

\boxed{ \rm \: Distance =  \sqrt{(x_2 - x_1) {}^{2}  + (y_2 - y_1) {}^{2} } }

According to the Question,

\rightarrow \:  \rm \: x_2 = 8

\rightarrow \:  \rm \: x_1 = 5

\rightarrow \:  \rm \: y_2 = 5

\rightarrow \:  \rm \: y_1 = 3

Now Substitute the values on the formula of Distance and then Simplify:

\rm \: Distance= \sqrt{(8 - 5 )^{2}  + (5 - 3) {}^{2} }

<em>[Follow PEMDAS rule while simplifying]</em>

\rm \: Distance= \sqrt{3 {}^{2}  + 2 {}^{2} }

\rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)}

\rm \:  Distance= \sqrt{9 + 4}

\rm \: Distance= \sqrt{13}

\rm \: Distance= {3.605}

Hence, the distance between the two given points would be \sqrt{13} or 3.605.

\rule{225pt}{2pt}

I hope this helps!

Have a good day! :)

<em>[Desmos Graph solution is attached]</em>

5 0
2 years ago
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