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3 years ago

I got it wrong and I failed can someone plz help thxxx it be appreciated

Mathematics

2 answers:

disa [49]3 years ago

5 0

Answer:

Volume of the pyramid: 16 cubed inches

Volume of the cube: 64 cubed inches

Total volume: 80 cubed inches

Step-by-step explanation:

I used the formulas for the cube and square pyramid.

Formulas

Cube: a³

Square pyramid: a2 (h over 3)

Hope this helps!

Sholpan [36]3 years ago

4 0

Answer:

Volume of Figure; 80 cubic inches

Step-by-step explanation:

Calculate the volume of this square pyramid firstly, through the basic volume formula Base * height , but divide by 3 for it is a pyramid, one - third of a cube;

Base ⇒ length * width = 4 in * 4 in = 16 inches^2,

Volume of Square Pyramid ⇒ ( Base * height ) / 3, ( 16 inches^2 * height ) / 3, ( 16 * 3 ) / 3 = 48 / 3 ⇒ 16 cubic inches

Now let us compute the volume of this cube, dimensions 4 by 4 by 4 provided a formula Base * height;

Base ⇒ length * width = 4 in * 4 in = 16 inches^2,

Volume of Cube ⇒ ( Base * height ) = ( 16 inches^2 * 4 inches^2 ) = 16 * 4 ⇒ 64 cubic inches

The volume of this Composite Figure is thus; Volume of Pyramid + Volume of Cube = 16 in^3 + 64 in^3 = 80 cubic inches,

Volume of Figure; 80 cubic inches

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$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

forsale [732]

Answer:

$\$13,107.96$

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

$\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}$

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3 years ago

The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is

iren [92.7K]

Answer:

The temperature is increasing at the rate of 6.5 degree celcius per second.

Step-by-step explanation:

We are given the following information:

Temperature of a point is given by T(x,y)

After t seconds a bug reaches a point $x = \sqrt{2 + t}, y = 3 + \frac{1}{2}t$

At t = 2, x = 2, y = 4

The temperature function satisfies:

$T_x(2,4) = 8\\T_y(2,4) = 9$

We have to find:

$\displaystyle\frac{dT}{dt} = T_t(x(t), y(t))\\\\= T_x(x(t),y(t)).x'(t) + T_y(x(t),y(t)).y'(t) \\\\= T_x(x(t),y(t)).\displaystyle\frac{1}{2\sqrt{(t+2)}} + T_y(x(t),y(t)).\displaystyle\frac{1}{2} \\\\\displaystyle\frac{dT(x,y)}{dt}_{at~t=2} = \displaystyle\frac{dT(2,4)}{dt}_{at~t=2} = 8.\displaystyle\frac{1}{4} + 9.\displaystyle\frac{1}{2} = 2 + 4.5 = 6.5$

Hence, the temperature is increasing at the rate of 6.5 degree celcius per second.

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4 years ago

52 divided by what is 30

juin [17]

Answer:

x = 26/15

Step-by-step explanation:

is means equals

52 / x = 30

Multiply each side by x

52 = 30x

Divide each side by 30

52/30 = x

26/15 = x

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3 years ago

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Answer:

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Step-by-step explanation:

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