All categories

4 years ago

Find the length of the missing side. Leave your answer in simplest radical form.

Mathematics

1 answer:

vichka [17]4 years ago

7 0

Answer:

the missing leg length is 2√70.

Step-by-step explanation:

This is a right triangle in which the hypotenuse is 19 ft and one of the legs is 9 ft. Using the Pythagorean Theorem, we find the length of the other leg:

x^2 = (19 ft)^2 - (9 ft)^2 = 361 - 81 = 280, or 4*70

Then the missing leg length is √4√70, or 2√70.

You might be interested in

Kim got a "40" in a class and I make a 70 on a test. How much does the grade goes up?

KATRIN_1 [288]

Answer:

30%

Step-by-step explanation:

7 0

3 years ago

Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra

katen-ka-za [31]

You made a mistake with the probability $p_{j}$ , which should be $p_{i}$ in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer $j$ , is given by:

(1) $\frac{p_{j} }{1-d_{i}p_{i} } , if j \neq i,$ and

(2) $\frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} } , if j = i.$

so we can say:

$A$ is the event that you search drawer $i$ and find nothing,

$B$ is the event that you search drawer $i$ and find the paper,

$C_{k}$ is the event that the paper is in drawer $k, k = 1, ..., n.$

this gives us:

$P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}$

$P(A) = 1 - P(B) = 1 - d_{i} p_{i}$

Solution to Part (1):

if $j \neq i$ , then $P(A \cap C_{j} ) = P(C_{j} )$ ,

this means that

$P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)} = \frac{P(C_{j} )}{P(A)} = \frac{p_{j} }{1-d_{i}p_{i} }$

as needed so part one is solved.

Solution to Part(2):

so we have now that if $j$ = $i$ , we get that:

$P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}$

remember that:

$P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}$

this implies that:

$P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )$

so we just need to combine the above relations to get:

$P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} }$

as needed so part two is solved.

8 0

4 years ago

The difference of a number and 2/3 is 3/8

nikitadnepr [17]

X-2/3=3/8 is the answer

7 0

3 years ago

Read 2 more answers

I will give brainliest + 50pts

nata0808 [166]

Answer:

During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched with an initial upward velocity of 78 feet per second. The hight of the t-shirt (h) in feet after t seconds is given by the function h=-16t^2+78t+5. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is its maximum height?

Step-by-step explanation:

cool

6 0

2 years ago

Natasha has four nickels to dimes and 6 quarters in her pocket what is a theological probability that she will randomly select a

My name is Ann [436]

Answer:

1/2

Step-by-step explanation:

There are 4 nickels, 2 dimes, and 6 quarters. That means a total of 12 coins, half of which are quarters.

(realistically, if she wanted to, she could probably get a quarter every time if she felt for the size)

4 0

3 years ago

Read 2 more answers