Answer:
Width = 7units
Step-by-step explanation:
The area of a rectangle
A = h * w
A - area of a rectangle
h - height of a rectangle
w - width of a rectangle
Or
A = length * breadth
It's all the same
Given :
h = 1 + w
w = w
A = 56
56 = ( 1 + w) * w
56 = ( 1 + w)w
56 = w + w^2
56 = w^2 + w
w^2 + w - 56 = 0
Find a factor that can be multiplied to give -56
and added to give + 1
The factor is 8 and -7
Substitute 8w - 7w for w
w^2 + 8w - 7w - 56 = 0
( w^2 + 8w) - (7w - 56) = 0
w( w + 8) - 7( w + 8) = 0
( w - 7) = 0
( w + 8) =0
w - 7 = 0
w = 7
w + 8 = 0
w = -8
Since a side of any rectangle can not be negative
w = 7
The width of the rectangle is 7units
The length of the rectangle is 1 + w = 1 + 7 = 8units
Answer:
17
Step-by-step explanation:
Remark
In this formation, the chords cut each other so that
Equation
(3x - 1) * 3 = 12*(x -2) Remove the brackets.
Solution
9x - 3 = 12x - 24 Add 24 to both sides.
9x - 3 + 24 = 12x - 24 + 24 Combine
9x + 21 = 12x Subtract 9x from both sides
9x - 9x +21 = 12x - 9x
21 = 3x Divide by 3
21/2 = 3x/3
7 = x
Find QR
QR = 12 + x - 2
QR = 10 + 7
QR = 17
Answer:
149.86 cm
Step-by-step explanation:
4 ft 11 in = 59 inches
2.54(59) = 149.86
It's the group of correct solutions to a given problem.
Imagine you have apples, pears and peaches you're asked <em>"what fruits do you have"</em>? Your solution set would be {apple, pear, peach}.
Answer:

Step-by-step explanation:
Given: Nicole is rolling a dice for a probability project
To find: theoretical probability that she will roll a 1 or a 4
Solution:
Theoretical probability expresses the chances that something will occur. It is equal to the number of favorable outcomes divided by the total number of outcomes.
Total number of outcomes = 6
Theoretical probability that she will roll a 1 or a 4 = 