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alina1380 [7]
2 years ago
13

24 cm

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
8 0

Answer:

74cm

Step-by-step explanation:

If 24cm and 70cm are given sides of a right triangle, we can use the pythagorean theorem to find out the hypotenuse.

a^{2} +b^{2} =c^{2} where a and b are sides of the right triangle and c is the longest side, or hypotenuse, of the right triangle.

Let's plug both 24 and 70 into the equation.

24^2+70^2=c^2

5476=c^2

To get c alone by itself, we have to square root both sides.

\sqrt{5476}=\sqrt{c^2 }

74=c

The longest side, or the hypotenuse, length, is 74cm.

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Write Y=5/3 x - 6/8 in standard form
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Answer:

standard form is Ax + By = C where A, B and C are all integers.

 

y=5/3x-6/8  First, multiply by LCD 24:

 

24y = 40x -18

 

40x - 24y = 18

 

Division by 2 is recommended (this is because 6/8 should have been reduced to 24, making LCD just 12):

20x - 12y = 9

 

Step-by-step explanation:

3 0
4 years ago
Diversifying means _____. withdrawing money from a retirement account. investing in a variety of types of investments to minimiz
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Choices to this question are:

a. withdrawing money from a retirement account.
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The answer is letter d.
5 0
4 years ago
Read 2 more answers
3 of 8<br> The area of a circle is 16.71cm2.<br> Find the length of the radius rounded to 2 DP.
Cerrena [4.2K]

Answer:

Radius = 2.31 cm

Step-by-step explanation:

Area of circle = 16.71 square centimeters

\pi r^2 = 16.71 \\3.14r^2=16.71\\r^2=\frac{16.71}{3.14}\\r^2=5.32\\\sqrt{r^2}=\sqrt{5.32}\\r=2.306

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6 0
3 years ago
Need math help please
GREYUIT [131]

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Step-by-step explanation:

7 0
2 years ago
Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born
NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

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.

Probability of a person being in May:

May has 31 days in a year of 365. So

p = \frac{31}{365} = 0.0849

Group of 20 friends:

This means that n = 20

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This is P(X = 2).

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

P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0
3 years ago
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