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iragen [17]
4 years ago
11

Clover the Clown charges $49.50 for a private party event and $55.25 for a community event. He did 4 private party events and 3

community events each week for 5 weeks.
How much money did Clover the Clown earn altogether?
Mathematics
1 answer:
goldenfox [79]4 years ago
6 0
$49.50 x 4 = 198
$55.25 x 3 = $165.75
All together it must be 1,818.75
Hopefully this was right
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3 years ago
Diagram shows the composite solid formed by a cuboid and a right prism. Trapezium LMNP is the uniform cross section of the prism
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Answer:

MN = 7 cm

Step-by-step explanation:

Well the volume we can separate into pieces

first the ABCDEFGH (? you know this cuboid)

which has a volume of

V = AB\cdot BC\cdot CH\\\\V = 3*6*(3+JY+4)

if you ask where does the 4 come from

it comes from LP = KB = YC and JY + YC =JC

so

V = 18(7+MX)

this is because JY = MX

the other volume is of BCNPKLXY (hope you understand which one)

and the volume is

V = BP*PN*NX\\\\V=8*6*4\\\\V = 192

and the last one is KYXLMJ (the top "triangle")

the volume is

V = \frac{LX*XM}{2}*LK\\\\V = \frac{6*MX}{2}*8\\\\V= 6*4*MX\\\\V=24MX

so now add them up

and has to equal 444

V_T = 18(7+MX)+192+24MX\\\\V_T = 126+18MX+192+24MX\\\\V_T = 318+42MX\\\\444=318+42MX\\\\444-318=42MX\\\\126=42MX\\\\MX = 3

and finally we know that MN = MX + XN = 3+4 = 7

so here is our answer MN = 7 cm

a couple of notes

1.\:\angle LXM = 90\\\\2.\:\angle KYX = 90

3. the units don't matter due to the fact that everything is in cm

4. see the picture below to get a better idea of which prism I am talking of

5. tell me if you have questions :D

8 0
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