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Scorpion4ik [409]

3 years ago

9

A ski patrol unit has seven members available for duty, and two of them are to be sent to rescue an injured skier. In how many w

ays can two of these seven members be selected?

1 answer:

ikadub [295]3 years ago

6 0

Answer:

21

Step-by-step explanation:

7C2 = 21

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Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle

Nina [5.8K]

The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as $x$ .
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
$cos(59)= \frac{19}{h}$
$h= \frac{19}{cos(59)}$
$h=36.9$
Now we can use the law of sines to find the distance $x$ between Paul and Jose:
$\frac{sin(43)}{36.9} = \frac{sin(16)}{x}$
$x= \frac{36.9sin(16)}{sin(43)}$
$x=14.9$

Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
$19m+14.9=33.9m$

We can conclude that Jose is 33.9m from the base of the tree.

3 0

3 years ago

A probability experiment will consist of selecting one of two stacks of cards, and then choosing a card at random from the stack

postnew [5]

Answer:

The probability that the red card came from the first stack is:

40%

Step-by-step explanation:

a) Data and Calculations:

Stack Red Blue Total

First 6 5 11

Second 9 0 9

Total 15 5 20

The probability of selecting from the first stack = 50% since equal opportunity is given to the two sacks.

The probability of red card from the first stack = 6/15 = 0.4 = 40%.

b) The probability that the red card came from the first stack is given by the number of red cards in the first stack divided by the number or red cards in the two stacks. This is equal to 6/15 = 0.4 or 40%.

4 0

3 years ago

31. Jamie works at pizza hut. She makes $30 a day, plus $2 for each pizza she delivers. She earned $50

Mashcka [7]

Answer:

10

Step-by-step explanation:

30+2+2+2+2+2+2+2+2+2+2

Hope this helps!!

Can you tell me if it's right or not? And can you give me brainliest?!!

6 0

3 years ago

HELP HELP HELP HELP<br> HELP HELP HELP

I am Lyosha [343]

A) 3x (you substitute the g equation into the f one by putting it in the x value for f)

b) x (do the same thing, but switch the letters)

4 0

2 years ago

When determining if you have a perfect square trinomial, what must the first and third term be?

cricket20 [7]

The expansion of a perfect square is

$(a+b)^2 = a^2+2ab+b^2$

In words, the square of a sum of two terms is the sum of the squares of the two terms ( $a^2$ and $b^2$ ), plus twice the product of the two terms ( $2ab$ )

So, when determining if you have a perfect square trinomial, you should have two perfect squares. Note that they don't have to be the first and third term, since you can rearrange terms as you prefer.

8 0

3 years ago