(23 centimeters) x (10 millimeters/1 centimeter) = <em>230 millimeters</em>
m =(y2-y1)/(x2-x1)
m =(-2 + 3 )/(-3 -2)
m = 1/-5
m = -1/5
slope of the line that is perpendicular = 5
Answer: the length is 11 cm.
The width is 7 cm.
Step-by-step explanation:
Let L represent the length of the rectangular plastic box.
Let W represent the width of the rectangular plastic box.
The area of the rectangular top of the box is 77 square cm. This means that
LW = 77- - - - - - - ;- - - -1
The plastic box has a length 4 cm longer than its width. This means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
(W + 4)W = 77
W² + 4W = 77
W² + 4W - 77 = 0
W² + 11W - 7W - 77 = 0
W(W + 11) - 7(W + 11) = 0
W - 7 = 0 or W + 11 = 0
W = 7 or W = - 11
Since the width cannot be negative, then W = 7cm
L = 77/7 = 11 cm
Answer:

Step-by-step explanation:
First we need to find the total amount of apples in the crate:
Total = 10 + 14 + 4 + 18 = 46 apples
The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:


Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:


The final probability we want is the product of those two probabilities:

60° bc 25+35=60, 180-60=20, 180-20=60, 60+60+x=180; x=60