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kirill [66]
3 years ago
13

Find the surface area of the following triangular prisms

Mathematics
1 answer:
TEA [102]3 years ago
5 0
Just press this into your calculator

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y= 2.50

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Convert 315 degrees to radian
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5.49779

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Which statement is true about the solutions for the equation 3y + 4 = −2?
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A: I think it only has 1 solution because y=-2

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Diagram shows the composite solid formed by a cuboid and a right prism. Trapezium LMNP is the uniform cross section of the prism
kherson [118]

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
3 years ago
May someone help, please ? Thank you ♥️
xeze [42]
The answer is c. A right triangle is one where a^2 + b^2 = c^2, where c is the longest side.
4 0
3 years ago
Read 2 more answers
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