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3 years ago

Find the volume of the pyramid. I will ONLY give you a brainliest if your answer is CORRECT!

Mathematics

1 answer:

mojhsa [17]3 years ago

5 0

Answer:

72 cm³

Step-by-step explanation:

Volume of a triangular pyramid = a*(h/3), where a is the area of the base triangle and h is the height from the base to the highest point.

We need to first find a, the area of the bas triangle:

Area of triangle = (1/2)bh, where b is the length of the base and h is the perpendicular height.

a = (1/2)12*4

a = 6*4

a = 24 cm²

Knowing a, we can know find the volume:

Volume = a*(h/3)

= 24*(9/3)

= 24*3

= 72 cm³

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Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

Alenkasestr [34]

Answer:

The money each boy had after buying his ticket is $2.50.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be $x.$

Total number of boys = 4.

Total money they had = $40.

Money each boy spent = $7.50.

Now, to write an equation:

$4(x+7.50)=40$

Now, to solve the equation for getting the money each boy had after buying his ticket:

$4(x+7.50)=40$

$4x+30=40$

Subtracting both sides by 30 we get:

$4x=10$

Dividing both sides by 4 we get:

$x=\$2.50.$

Therefore, the money each boy had after buying his ticket is $2.50.

3 0

3 years ago

Evaluate the line integral, where c is the given curve. c y3 ds,

postnew [5]

Parameterizing $\mathcal C$ by

$\mathbf r(t)=(t^3,t)$

with $0\le t\le2$ , we have

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt=\sqrt{(3t^2)^2+1^2}\,\mathrm dt=\sqrt{9t^4+1}\,\mathrm dt$

So

$\displaystyle\int_{\mathcal C}y^3\,\mathrm ds=\int_{t=0}^{t=2}t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_0^236t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_{u=1}^{u=145}\sqrt u\,\mathrm du$
$=\dfrac{145^{3/2}-1}{54}$

5 0

3 years ago

Need help ASAP! Due in 15 minutes

liberstina [14]

Answer:

The first one.

Step-by-step explanation:

7 0

2 years ago

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What does 58x9234=????

Troyanec [42]