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tatuchka [14]
3 years ago
13

Kiran has 10 1/2 feet of lumber and wants to make a bookshelfKiran needs two side panels that are each 5 2/3 feet. How much more

lumber does Kiran need in order to make the side panels?
Mathematics
1 answer:
eimsori [14]3 years ago
4 0

Total height of lumber, H = 10 1/2 feet = 21/2 feet .

Height of side panel, h = 5 2/3 feet = 17/3 feet .

Now,

Extra lumber required, L = 2 × Height of side panel - Total height of lumber

L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet

Therefore, extra lumber required is \dfrac{5}{6} feet.

Hence, this is the required solution.

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Casey bought 9 tickets to a concert. After a $5 service charge, the total cost was $131. Write and solve an equation to find the
Inessa05 [86]

Answer: 14

Step-by-step explanation:

131 (total cost of tickets)- 5 (service charge) = 126 cost of tickets

126/9= 14 dollars a ticket

(c= cost)

131-5=c

126/9=14

Hope this helped

3 0
3 years ago
What is the volume of a cone with a radius of 12 and a height of 8?
nadya68 [22]

Answer:

Volume of a cone= \frac{1}{3} \pi r^{2}h

=\frac{1}{3}×\frac{22}{7}×144×8

=\frac{22}{21}×144×8

=1206.86cm^{2}

Step-by-step explanation:

8 0
3 years ago
The average customer at Longhorn Steakhouse spends $26.00 per meal with a
ElenaW [278]
Key details

$26.00 per meal

You and your date = two people

10%

Work:
26.00 x 2 =52

52 x 10% = 5.2

52 + 5.2 =

$57.20

I hope this helped and was right, have a nice day.
7 0
3 years ago
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
8. How long will it take Seb to run 4000 m at an average speed of 5 m/s?
meriva

Answer:

Seb will take 13 minutes and 20 seconds  to run 4000 m at an average speed of 5 m/s

Step-by-step explanation:

time taken = distance / speed

time taken = 4000/5

time taken = 800 seconds

time taken = 13 minutes and 20 seconds

5 0
2 years ago
Read 2 more answers
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