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Ede4ka [16]
2 years ago
14

Find the volume of the prism.

Mathematics
1 answer:
Rudik [331]2 years ago
6 0

Answer:

216 cubic meters

Step-by-step explanation:

to find the volume of any prism the equation is bh or base times height

the base is a triangle so you find the triangles area and multiply it by the height

8 * 6 * 1/2 = 24

24 * 9 = 216

216 cubic meters

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(b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution. y =
frutty [35]

Answer:

Check attachment for complete question

Step-by-step explanation:

Given that,

y=Coskt

We are looking for value of k, that satisfies 4y''=-25y

Let find y' and y''

y=Coskt

y'=-kSinkt

y''=-k²Coskt

Then, applying this 4y'"=-25y

4(-k²Coskt)=-25Coskt

-4k²Coskt=-25Coskt

Divide through by Coskt and we assume Coskt is not equal to zero

-4k²=-25

k²=-25/-4

k²=25/4

Then, k=√(25/4)

k= ± 5/2

b. Let assume we want to use this

y=ASinkt+BCoskt

Since k= ± 5/2

y=A•Sin(±5/2t)+ B •Cos(±5/2t)

y'=±5/2ACos(±5/2t)-±5/2BSin(±5/2t)

y''=-25/4ASin(±5/2t)-25/4BCos(±5/2t

Then, inserting this to our equation given to check if it a solution to y=ASinkt+BCoskt

4y''=-25y

For 4y''

4(-25/4ASin(±5/2t)-25/4BCos(±5/2t))

-25A•Sin(±5/2t)-25B•Cos(±5/2t).

Then,

-25y

-25(A•Sin(±5/2t)+ B •Cos(±5/2t))

-25A•Sin(±5/2t) - 25B •Cos(±5/2t)

Then, we notice that, 4y'' is equal to -25y, then we can say that y=Coskt is a solution to y=ASinkt+BCoskt

4 0
3 years ago
Choose the equation for the graph
DIA [1.3K]
Look up on desmos it will give the correct answer
6 0
2 years ago
Two athletic shoe brands were studied to see which brand was manufactured with the least amount of defects. Brand A was found to
avanturin [10]

Answer:

21

Step-by-step explanation:

We need to determine the percentage of defects of shoes for brand A

Percentage of shoes that have defect = (5/600) x 100 = 0.83%

shoes that would have defects when 2500 shoes are manufactured = 0.83% x 2500 = 0.0083 x 2500 = 20.75

rounding off to the nearest whole number gives 21 shoes

3 0
2 years ago
Is this right. If it is thanks
Natali [406]

Answer:

yes

Step-by-step explanation:

yes

4 0
3 years ago
Which of the following equations represents a line with a negative slope and a negative y-intercept?
Luden [163]
The answer is A because u can subtract the 3x to get 2y by itself then divide by 2 to completely get y by itself and it would be y=-3/2x - 9/2
5 0
3 years ago
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