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GREYUIT [131]
2 years ago
8

What is the value of the hypotenus?

Mathematics
2 answers:
Harman [31]2 years ago
7 0
Pythagorean theorem
a^2 + b^2 = hypothenuse^2
2^2 + 5^2 = hypothenuse^2
4 + 25 = hypothenuse^2
29 = hypothenuse^2
Hypothenuse = squareroot 29
Hypothenuse = 5.38516480713

Solution: hypothenuse = 5.4
tia_tia [17]2 years ago
7 0

Answer:

Step-by-step explanation:

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X
AURORKA [14]

Answer:

\theta \approx 1.23^\circ

Step-by-step explanation:

The expression has been given as:

tan(\theta) = \frac{50}{18}

Required: Find \theta

Simplify the fraction

tan(\theta) = 2.7778

Take arc tan of both sides

\theta = tan^{-1}(2.7778)

\theta \approx 1.23^\circ

8 0
2 years ago
La circunferencia C está centrada en P(6;0) Y su radio es r=3. Calcular:
Luda [366]

Answer:

the answer is easy.

Step-by-step explanation:

4 0
3 years ago
Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of
Naddik [55]

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so n = 50

4% of the U.S population has blood type AB, so p = 0.04.

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

5 0
3 years ago
Sheila bought several bags of balloons and boxes of candles. The candles cost $15 per bix, and the balloons cowt $8 per bag. She
snow_tiger [21]

Answer:

balloons= 9

candles= 8

Step-by-step explanation:

let the number of balloons be x

and candles be y

So

15x+8y=192----------1

x+y=17--------------2

from 2, x= 17-y

put x= 17-y in 1

15( 17-y)+8y=192

255-15y+8y=192

solve for y

-7y=192-255

-7y=-63

x=63/7

x=9

put x= 9 in 1

9+y=17

y= 17-9

y=8.

7 0
3 years ago
The graph shows a line and two similar triangles.
Zina [86]

Answer:

a y=3/2× Pls help me do me one

a

4 0
2 years ago
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