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Pani-rosa [81]
3 years ago
12

Find the value of x for the right triangle. trigonometric ​

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Here's the solution,

The given triangle is a right angled triangle,

So, by Using Trigonometry :

=》

\sin(30)  =  \dfrac{x}{13}

=》

\dfrac{1}{2}  =  \dfrac{x}{13}

=》

x =  \dfrac{13}{2}

=》

x = 6.5

hence, value of x = 6.5 units

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If human height were quantized in one-foot increments, what would happen to the height of a child as she grows up?
agasfer [191]
I believe what the problem means is that the height of the child, if he/she grows in height, the mesurements are equal to 1 ft, 2 ft, 3 ft, 4 ft, etc only. and no decimals or fractions in between. it is also said that a human stops growing at the age of 20 naturally, hence with this increment, a child can grow incredibly very tall.
7 0
4 years ago
Fishermen fishing for spiny lobster are allowed to keep only lobsters with a carapace length of 3.25 inches or longer. (Than car
ser-zykov [4K]

Answer:

16%

Step-by-step explanation:

First we start by solving for the z score

We have the following information

x = 3.25

Standard deviation = sd = 2.25

Mean = 5.50

Z = (x - mean)/sd

z = 3.25 - 5.50/2 25

z = -1.00

If we look this up in the standard normal distribution table,

P(z<-1.00) = 0.1587

Which when approximated gives us

16%

Therefore approximately 16% of lobsters will have to be returned back to the sea.

4 0
3 years ago
If the graph of the function f(x) = x2 + 2 is translated right 5 units, what is the equation of the new function?
boyakko [2]
The answer should be B
5 0
3 years ago
The entertainment committee at Maplecrest Junior High School has narrowed down the theme of the Spring
Roman55 [17]

Answer:

Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those students whose numbers are selected.

Step-by-step explanation:

3 0
4 years ago
25% of American households have only dogs (one or more dogs) 15% of American households have only cats (one or more cats) 10% of
sergeinik [125]

Answer:

a) P=0.2503

b) P=0.2759

c) P=0.3874

d) P=0.2051

Step-by-step explanation:

We have this information:

25% of American households have only dogs (one or more dogs)

15% of American households have only cats (one or more cats)

10% of American households have dogs and cats (one or more of each)

50% of American households do not have any dogs or cats.

The sample is n=10

a) Probability that exactly 3 have only dogs (p=0.25)

P(x=3)=\binom{10}{3}0.25^30.75^7=120*0.01563*0.13348=0.25028

b) Probability that exactly 2 has only cats (p=0.15)

P(x=2)=\binom{10}{2}0.15^20.85^8=45*0.0225*0.27249=0.2759

c) Probability that exactly 1 has cats and dogs (p=0.1)

P(x=1)=\binom{10}{1}0.10^10.90^0=10*0.1*0.38742=0.38742

d) Probability that exactly 4 has neither cats or dogs (p=0.5)

P(x=4)=\binom{10}{4}0.50^40.50^6=210*0.0625*0.01563=0.20508

8 0
3 years ago
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