If the hypotenuse of a right triangle is 6m and one side is 4m, what is the length of the other side?

Answers

Answer 1
Answer: Use the Pythagorean Theorem: a^2 + b^2 = c^2 
a and b are the measures of the legs and c is the measure of the hypotenuse 

Let's solve for a (the length of the other leg) 
*I am hoping that m is not a variable and just an abbreviation for meters* 
b = 4 m 
c = 6 m

a^2 + 4^2 = 6^2
a^2 + 16 = 36
a^2 = 20
a = √(20)
after simplifying...
a = 2 √(5)

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Samples of size n = 600 are taken from a telephone survey, and the mean age is taken for each sample. What is the distribution of the sample means?A. skewed to the left
B. normal (approximately)
C. not enough information provided
D. skewed to the right

Answers

The answer in B. For complicated statistics reasons the Central Limit Theorem states that, for sample sizes of above 25 (or 30 depending on the text!), the distribution of sample means is approximately normal regardless of the distribution of the parent distribution

Answer:

B. normal (approximately)

Step-by-step explanation:

Which System of Equations represents the problem given?Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of
jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter.

answer choices in pic

Answers

Answer:

  see below

Step-by-step explanation:

If we let j represent the cost of a jar of jelly, and p represent the cost of a jar of peanut butter, then Erin's purchase has the dollar value ...

  4j +6p = 19.32

Only the answer choice shown below includes this equation.

True or False: A number is divisible by 6 if the last digit is even or the sum of all digits is divisible by 3.A
True

B
False

Answers

A number is divisible by 6 if the last digit is even or the sum of all digits is divisible by 3 the statement is true

A number is divisible by 6 if it is divisible by both 2 and 3.

The first condition states that if the last digit of the number is even (0, 2, 4, 6, or 8), then the number is divisible by 2, as even numbers are always divisible by 2.

The second condition states that if the sum of all the digits of the number is divisible by 3, then the number is divisible by 3. If a number's digits add up to a multiple of 3, then the number itself is divisible by 3.

Since a number that fulfills both conditions (divisible by 2 and divisible by 3) is also divisible by 6, the statement is true.

To know more about divisible click here :

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Not all even numbers are divisible by 6

Which of the following are useful ways of finding the value of a variable? Check all that applyA.Writing an equation
B.Drawing a graph
C.Reading a table
D.Drawing a diagram

Answers

Writing an equation and Drawing a graph are two ways or useful ways of finding the value of the variable. These two are the basic ways of solving the given variable equation. In mathematical ways, this is the most useful ways.
Drawing a graph as it shows the change in variables.

3b I don't get I know the answer is x=-2 and y=-3 I just can't get it

Answers

x+5y=-17\n3x-4y=6\n\nx=-17-5y\n3x-4y=6\n\n3(-17-5y)-4y=6\n-51-15y-4y=6\n-19y=57\ny=-3\n\nx+5\cdot(-3)=-17\nx-15=-17\nx=-2

determine the domain of the function. f(x) = sqrt 9 - x x ≤ 9 all real numbers except 9 all real numbers x > 9

Answers

f(x) = sqrt(9 - x)

Domain is x ≤ 9