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4 years ago

Please help thank you very much

Mathematics

1 answer:

Pie4 years ago

3 0

Answer:

x. a.

y. b

z. c.

Step-by-step explanation:

So from the middle column, we know that each row or colum must be -12 because 1 - 8 - 5. x + 1 - 12 should be = - 12, so x -11 = 12, so x = -1

For z, - 12 + 3 + z = -12, so z = -3

For y, y - 5 + z = -12, but we know z so we can plug in -3:

y - 5 - 3 = - 12

y - 8 = -12

so y must be -4

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AlekseyPX

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3 years ago

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You deposit $1200 in an account. What is the balance of the account after 3 months?

levacccp [35]

Answer:

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Step-by-step explanation:

Since the type of account isn't specified, we assume you deposit the money in a current account. When you deposit in such an account, you receive no interest. Also, assuming that you don't make additional deposit and don't withdraw, the balance will remain as it was. Lastly, we assume that when you made the deposit, the account balance was initially zero. Therefore, there will be no change in your account balance after 3 months.

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3 years ago

Find the volume of the largest circular cone that can beinscribed in a shpere of radius 3.

Aleksandr [31]

Answer:

$V =\dfrac{32}{3}\pi$

Step-by-step explanation:

given,

radius of sphere = 3

volume of cone:

$V = \dfrac{1}{3}\pi r^2h$

r is the radius of circular base

h is the height of the cone

here r = x and h = 3 + y

now, volume in term of x and y

$V = \dfrac{1}{3}\pi x^2(3+y)$

Applying Pythagoras theorem

x² + y² = 3²

$x = \sqrt{9-y^2}$

$V = \dfrac{1}{3}\pi ( \sqrt{9-y^2})^2(3+y)$

$V = \dfrac{1}{3}\pi ( 9-y^2)(3+y)$

$V = \dfrac{1}{3}\pi (27 + 9 y - 3 y^2-y^3)$

differentiating both side

$\dfrac{dV}{dy} =\dfrac{1}{3}\pi ( 9-6y- 3y^2)$

for maxima $\dfrac{dV}{dy} = 0$

$\pi ( 3-2 y - y^2)=0$

y² + 2 y - 3 = 0

(y+3)(y-1)=0

y = 1,-3

y cannot be negative so, volume at y = 1

$V = \dfrac{1}{3}\pi (27 + 9 (1)- 3(1)^2-(1)^3)$

$V =\dfrac{32}{3}\pi$

Hence, the largest cone which can be inscribed in the spheres of the radius 3 has volume $V =\dfrac{32}{3}\pi$

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3 years ago

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STatiana [176]

Answer:

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Step-by-step explanation:

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3 years ago

Sam opened a money-market account that pays 2% simple interest. He started the account with $7,000 and made no further deposits.

Pavlova-9 [17]

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3 years ago