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3 years ago

Find the altitude of a regular tetrahedron whose volume is 486 square root of 2 cm^3.

1 answer:

6 0

Using the formula:
V = a^3 / 6 square root of 2
h = square root 2/3 x a

h = 2/3 x 3%
V^1/3 = 2/3 x 3% x 486^2/3 = 13.09348

I hope this answer helps. Looking forward to help you again. Have a great day!

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Ms. Ortiz is painting her canoe. Two-fifths of gallon of paint covers ¼ of the canoe.

madreJ [45]

Answer: 8/5 or 1 3/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 + 2/5

8/5 which is 1 3/5

6 0

3 years ago

P1=(-1,3) and P2=(5,-1) Find the distance from p1 to P2

LenaWriter [7]

Answer:

7.21

Step-by-step explanation:

Given that:

P1=(-1,3) and P2=(5,-1)

Distance between two points :

d = Sqrt[(x2 - x1)² + (y2 - y1)²]

x1 = - 1 ; y1 = 3

x2 = 5 ; y2 = - 1

d = Sqrt[(5 - (-1))² + ((-1) - 3)²]

d = Sqrt[(5 + 1)² + (-1 - 3)²]

d = sqrt[(6)^2 + (-4)^2]

d = sqrt(36 + 16)

d = sqrt(52)

d = 7.21

3 0

3 years ago

Partial fraction decomposition 20x+9/25x^2+20x+4

ozzi

Step-by-step explanation:

We have

$\frac{20x + 9}{25 {x}^{2} + 20x + 4 }$

Let's factor the denomiator first,

the denomaitor is a perfect square so we get

$\frac{20x + 9}{(5x + 2) {}^{2} }$

Now, we must think of two fractions that

$\frac{a}{(5x + 2) {}^{2} } + \frac{b}{5x + 2}$

We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.

So right now, we have

$\frac{a}{(5x + 2) { }^{2} } + \frac{b}{5x + 2} = \frac{20x +9 }{25 {x}^{2} + 20x + 4 }$

$a + (5x + 2)b = 20x + 9$

$5b (x)= 20$

$a + 2b = 9$

$b = 4$

so that means that a is

$a + (2)(4) = 9$

$a + 8 = 9$

$a = 1$

So our equation is

$\frac{1}{(5x + 2) {}^{2} } + \frac{4}{5x + 2}$

6 0

3 years ago

Help me out please!!!!

Citrus2011 [14]

Answer : y - 1 = 1/2 (x-3)

The formula for point slope is y - y1 = m (x - x1)
M is the slope of the line. The nine and three come from the point given. I used the point (3, 1). Hope this helps !

3 0

3 years ago

Select ALL the correct answers.

skelet666 [1.2K]

Answer:

The statements that are true are:

1.575 was the coffee yield , in thousands of kilograms,before the honeybees were introduced.

1.16 represents the growth factor that reveals the rate at which the coffee yield increases.

2 is the number of times the coffee yield was compounded per year.

Step-by-step explanation:

We are given a function that models The coffee yield, in thousands of kilograms, t years after the introduction of the honeybees.

Also, the coffee yield increases according to a model where the exponential change is compounded semiannually .

The function is given by:

$f(t)=1.575(1.16)^{2t}$

Here when t=0, i.e. before the honeybees were introduced we have:

$f(0)=1.575$

Also, the rate of increase i.e. the growth rate is denoted by : 1.16

Also, 2 represents the number of times the coffee yield is compounded per year.

8 0

3 years ago