Answer:
W = 2 cm
L = 5 cm
Step-by-step explanation:
A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.
A = l*w
10 = (4w - 3)(w)
10 = 4w² - 3w
Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.
4w² - 3w - 10 = 0
Substitute a = 4, b = -3 and c = -10.
There are two possible solutions which can be found.
3 + 13 / 8 = 16/ 8 = 2
3 - 13 / 8 = -10/8 = -5/4
Since w is a side length or distance, it must be positive so w = 2 cm.
If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.
Answer:
13/102
Step-by-step explanation:
In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 <u>black </u>cards in the deck of 52 cards.
Probability of drawing a black card = 26/52 = 1/2
Suppose we drew the black card. There are now <u>only 51</u> cards left in the deck. ALL of the hearts are still there - <u>13</u> of them.
Probability of drawing a heart from this deck of 51 = 13/51
In general, for the probability of event A <u>and then</u> event B, we multiply.
1/2 x 13/51 = 13/102
Answer:
x = 335 - (6 * v)
Step-by-step explanation:
In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.
x = 335 - (6 * v)
Answer: 1.5
Step by step explain:
Answer:
The answer would be d
Step-by-step explanation:
10^0 would be 0 because multiplying anything by 0 would result in 0 and 10^1 would be 10 and 10^2 would be 100 so adding them together would be 110. Hope this helped :)
