To solve this, we need to set up two different equations, then use them to find what we are looking for.
First, we need to change the words in the problem into variables and numbers. "The length of a rectangle is 3mm less than four times the width." This translates into: L=4W-3
Now, we are given the area and are told to solve for the dimensions (meaning the height and width. We need to use the area equation for a rectangle to finish the problem. A=L x W
Substitute the equation we created for the length into the area equation and we can solve for the width.
A= L x W --> 1387=(4W-3) x W --> 1387=4W^2-3W --> 0=4W^2-3W-1387
0=4(W-19)(W+18.25)
So our width either equals 19 or -18.25, and since a distance can't really be negative, our width is 19mm. Now we can use this to solve for length.
L=4W-3 --> L=4(19)-3 --> L=76-3 --> L=73
Our length is 73 mm.
Check: We can check this answer by multiplying the two numbers to see if they provide the area given in the problem. A=73x19=1387mm^2
A card is drawn from a well shuffled deck of 52 cards
Probability of (drawing a card) = 
Total number of cards = 52
Number of spade = 13
Number of heart = 13
Probability ( drawing a spade) = 
Probability ( drawing a heart) =
probability of drawing a spade or a heart = 
= 
= 
-89.78 or 68.4
I’m not sure sorry I tried my hardest
Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165
Step-by-step explanation: sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .
