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3 years ago

If a= 2ft and c= 11ft. Find the missing side of the right triangle

Mathematics

1 answer:

dlinn [17]3 years ago

6 0

Answer:

$\sqrt{117}$ or $3\sqrt{13}$

Step-by-step explanation:

The formula for finding the any side of the triangle is

$a^{2}+b^{2} =c^{2}$

We know that a=2 and c=11, so we can go ahead and plug those into the formula.

$2^{2}+b^{2} =11^{2}$

$4+b^{2} =121$

To find side b, we have to make it alone on one side. Subtract 4 on both side.

$b^{2} =117$

Now square root both sides, and that leaves us with:

$b=\sqrt{117}$ or $3\sqrt{13}$

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The sum of two numbers is

Artyom0805 [142]

8 &16 have good luck .

3 0

3 years ago

Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th

butalik [34]

Answer:

a). The mean = 1000

The variance = 999,000

The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

= 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean = $\mu = \frac{1}{p}$

= $\mu = \frac{1}{0.001}$

= 1000

Variance = $\sigma ^2=\frac{1-p}{p^2}$

= $\sigma ^2=\frac{1-0.001}{0.001^2}$

= 999,000

The standard deviation is determined by the root of the variance.

$\sigma = \sqrt{\sigma^2}$

= $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

= $ 0.50

Since the answer is negative, we are expected to make a loss.

4 0

3 years ago

(2x + 3)" and solve for x

Novosadov [1.4K]

Answer:

2x−3=x

Move all terms containing x

to the left side of the equation.

Subtract x

from both sides of the equation.

2x−3−x=0

Subtract x

from 2x

x−3=0

Add 3

to both sides of the equation.

x=3

7 0

3 years ago

Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes of equal weight. Drew lifted 14 boxes, but Drew's boxes of equal w

elixir [45]

Answer:

Marco's boxes weigh 15 lbs.

Step-by-step explanation:

9x + 14(x - 8) = 233

9x + 14x - 112 = 233

23x = 345

x = 15

6 0

3 years ago

Evaluate each function in the table for f(3)

kogti [31]

Answer:

Function 1:

We have 3x + 5, so we plug in 3 for x to get 9 + 5 = $\boxed{14}$

Function 2:

We have $\frac{1}{2}x^{2} - 1.5$ so we have 4.5 - 1.5 = $\boxed{3}$

Function 3:

We have $\frac{3}{2x}$ which becomes $\frac{3}{6} = \boxed{\frac{1}{2}}$ .

6 0

3 years ago