<h3>
Answer: C) 12</h3>
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Explanation:
There are 3 colors of sweaters {red, green, purple} and 2 colors of skirts {tan, black}
So far there are 3*2 = 6 different outfit combinations. Imagine a table with 3 rows representing the sweater colors and 2 columns representing the skirt colors. There would be 6 cells in the table representing each possible combination. One cell would have (red sweater, tan skirt) for instance.
For each of those 6 combinations, we also have 2 shoe colors. So overall we have 6*2 = 12 outfit combinations
The tree diagram is shown below. Note how there are 3*2*2 = 12 different paths to follow.
Answer:
The answer is in the explaination
Step-by-step explanation:
A + B = 180 degrees
14x - 72 = 180
14x = 108
x = 8
A = 5 times 8 plus 20
A = 60
The answer is 53/6 in fraction form
Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
answer:
x < 44
step-by-step explanation:
- solve this like an equation
<u>3/4x < 33</u>
- in order to solve this we can multiply this with the denominator first to cross out the fraction and be left with a whole number
3/4x < 33
3/4x(4) < 33(4)
3x < 132
x < 44
