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3 years ago

Roman stands across from a flag pole.

2 answers:

3 0

The answer is 13.2 m.
Because we are only given the hypotenuse, adjacent, and theta measurements.
the opposite side is always opposite theta. In this case, theta is 39 degrees. The hypotenuse is always the slant of the triangle, so it is 17 m. And adjacent is obviously the only one left, in this case, it is x.

You have to use sin, cos, or tan for this problem. You would use cos because cos = adjacent /hypotenuse (x/17)

so you would do cos(39) times 17
x = cos(39) * 17
x = .777 * 17
x = 13.21

And it says round to the nearest tenth, so it is 13.2 m.
Hope this helps.

iris [78.8K]3 years ago

3 0

Answer:13.2

Step-by-step explanation: Took the test can say it is coorect..100%

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A right triangle has two shorter sides that differ in length by 7cm. The length of the

Naily [24]

Answer:

a = 5

b = 12

c = 13

Step-by-step explanation:

a^2+b^2=c^2

b-a=7(b=a+7)

c=a+8

Then, substitute

a^2+((a+7)*(a+7))=c^2

a^2+a^2+7a+7a+49=c^2

2a^2+14a+49=c^2

Because c = a+8

2a^2+14a+49=(a+8)(a+8)

2a^2+14a+49=a^2+16a+64

a^2-2a=15

a^2-2a-15=0

(a-5)(a+3)=0

a = 5,-3

a = 5(a side cannot be negative)

Plug in a=5 to the other equations to get

a = 5, b = 12, c = 13

Hope it helps <3

4 0

3 years ago

Read 2 more answers

Graph the following: y = -4x – 1.

Zina [86]

This is a line portrayed in point-slope form.

First, put a point at (0, -1). This is your y-intercept.

Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).

Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).

Finally, draw a line connecting all your points.

8 0

3 years ago

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What is w(53)is equal to

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

The question is slightly ambiguous. The problem is, do you find the first 40 hours using 10x and then the second equation using x >40. I don't think so, but it should be made clear. It turns out that the first 40 hours does equal 400 so that you can use the second expression with no worries.

w(53) = 15(53 - 40) + 400

w(53) = 15(13) + 400

w(53) = 195 + 400

w(53) = 595

5 0

2 years ago

Write a word problem for 35 divides into 490

mrs_skeptik [129]

Answer:

Step-by-step explanation:

Nancy had 490 apples. She split her apples with a class of 35 students equally. How many apples does each student get?

6 0

4 years ago

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You are playing a game called Tsunami Duck Pond. In Tsunami Duck Pond there are 100 ducks that get pummeled by tidal waves. You

lilavasa [31]

Answer:

a) W is a binomial random variable because in each trial there are only two possible outcomes, and the probability of a success is always the same.

b) 0.2013 = 20.13% probability that you win exactly 3 times.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

a. Explain why W is a binomial random variable.

For each time a duck is selected, there are only two possible outcomes. Either it has a star, or it does not. Also, after a duck is selected, it is placed back in the water which means that in each trial, the probability of finding a duck with star is the same. This is why W is a binomial random variable.

b. Find the probability that you win exactly 3 times.

Let W=the number of times you win if you play this game 10 times.

This means that $n = 10$

The game claims to have 20 ducks with stars among the 100 ducks.

This means that $p = \frac{20}{100} = 0.2$

We have to find P(X = 3). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013$

0.2013 = 20.13% probability that you win exactly 3 times.

7 0

3 years ago