Answer:

Step-by-step explanation:

Convert both fractions to improper fractions

To subtract, find a common denominator of 3 and 5.



Answer:
x = 65.03°
Step-by-step explanation:
To solve for x, we have to apply trigonometric ratio.
Recall: SOH CAH TOA
From the diagram, we know the following:
Reference angle = x
Hypotenuse = 45
Adjacent = 19
Since we know the Hyp and Adj, we would apply CAH, which is:
Cos x = Adj/Hyp
Plug in the values


x = 65.0250346°
x = 65.03° (nearest hundredth)
Answer: He needs 1456 feet of wood to complete his home project.
Step-by-step explanation:
1. You know that he needs 13 pieces of wood to complete his home project. Each one of the pieces is 112 feet long.
2. Therefore, to calculate the quantity of wood he need to complete the project (which you can call
), you need to multiply 13 pieces by the the lenght of each one of them (12 feet), as you can see below:

3. Therefore, he needs 1456 feet of wood.
Answer:
66.04
Step-by-step explanation:
26 x 2.54 =
= 66.04
Answer:
d. i and iii
Step-by-step explanation:
Notice that the definition provided states that the outcome needs to be numerical in order for a variable to be deemed a random variable:
i. The amount of rain is described in inches (i.e. 1.5 in; 2.0 in) and thus may be considered a random variable
ii. The major of a student is not quantitative as it is a descriptive variable (i.e. Arts; Psychology) and thus is not a random variable
iii. The number of books purchased is a numeric quantity (i.e. 15 books) and may be considered a random variable
Therefore, the answer is d. i and iii