Answers:
x = 3
y = 9
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Explanation:
We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.
Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.
Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.
Answer:
A
Step-by-step explanation:
you have to times the number number of discs a box holds by the number of boxes
Here you go -12.4 - 5.75 x is your Answer
Step-by-step explanation:
it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).
we only need to calculate all 3 areas and add them up for the total.
the area of a rectangle is
length × width
so, in our 2 cases we have
6 × 2 = 12 km²
5 × (3 + 2 + 3) = 5×8 = 40 km²
the area of a triangle is
baseline × height / 2
in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.
so, in our case
6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²
in total, the whole area is
12 + 40 + 39 = 91 km²
Answer:
- B. The probability that the student received a grade better than C is 0.45
Step-by-step explanation:
<u>Total number of students:</u>
- 15 + 30 + 35 + 16 + 4 = 100
<h3>Statements</h3>
A.
- p(<D) = 4/100 = 0.04
- 0.04 ≠ 0.2
- Incorrect
B.
- p(>C) = (30 + 15)/100 = 45/100 = 0.45
- 0.45 = 0.45
- Correct
C.
- p(not A or B) = (100 - 15 - 30)/100 = 55/100 = 0.55
- 0.55 ≠ 0.45
- Incorrect
D.
- p(B or C) = (30 + 35)/100 = 65/100 = 0.65
- 0.65 ≠ 0.35
- Incorrect
