Answer:
Step-by-step explanation:
<u>Use the law of cosines:</u>
- cos C = (25² + 27² - 28²)/(2*25*27)
- cos C = 0.4222
- m∠C = arccos 0.4222
- m∠C = 65°
Answer:Step-by-step explanation:
so if you buy 2 jumpers it will be the cost of 1
and 30% of 50 is 15 so 15 + 15 = 30 plus 45 =
75
Answer:
Step-by-step explanation:
Let the sides be a, b and c.
<h3>Given</h3>
The length of one side of a triangle is 2 feet less than three times the length of its second side
The length of the third side is 3/4 of the sum of the lengths of the first two sides:
The perimeter of the triangle is 17.5 feet:
<h3>Solution</h3>
Substitute a with b in the second equation:
- c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5
Now substitute a and c with b in the third equation and solve for b:
- 3b - 2 + b + 3b - 1.5 = 17.5
- 7b - 3.5 = 17.5
- 7b = 17.5 + 3.5
- 7b = 21
- b = 3
Find the value of a:
- a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7
Find the value of c:
- c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5
The sides of the triangle are:
- a = 7 feet, b = 3 feet, c = 7.5 feet
Answer:
The answer is "Population: All artifacts discovered in the dig. Sample: The selected 2% of the artifacts".
Step-by-step explanation:
The sampling procedure is just the structure or road map towards choosing a sample, and it influences several other important elements of a survey. It provides a fundamental plan including technique for sample selection, and in this, question community of all the items found throughout the dug, and the population of the Sample is 2% of the objects picked.
Answer:
A.102%
Step-by-step explanation:
Let cost price of painting=$100
In first year price increased 20%
Then , the price=
$120
In second year
Price decreased 15%
Then , the price of painting=
The price of painting=$102
Percent =
By using this formula
Then, we get
Percent of the original price=
Percent of the original price=102%
Option A is true.