3
- x 6 = 4
4
Mary has 6 cakes, she gives 3/4 of the cakes away. How many cakes does Mary have?
Answer:
1.8 units.
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:
b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).
Simplifying gives:
b^2 = 3.25.
Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).
This means that the length of the third side is 1.8 units!!!
Answer:
a. 
b. 
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width
a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:
Therefore, substituting these values into the formula, we get that the area of the kitchen is:
b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:
Therefore, the total of the living room and the kitchen is:
Answer:
go up 1 from 9x and left 2
Step-by-step explanation:
-1/2 is the slope of the line
up means pos
right means pos
down means neg
left means neg
Answer:
x = 200
Step-by-step explanation:
Multiply by 4:
x + 120 + 2x = 720
3x = 600 . . . . . . collect terms, subtract 120
x = 200 . . . . . . . divide by 3
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<em>Check</em>
(200/4 +30) +(200/2) = 180
(50 +30) + 100 = 180
80 + 100 = 180 . . . . . true
_____ _____
<em>Alternate solution</em>
If you like, you can simply work with the equation given.
(3/4)x + 30 = 180 . . . . collect terms
(3/4)x = 150 . . . . . . . . . subtract 30
x = 200 . . . . . . . . . . . . multiply by 4/3
