Answer:
Width = 12 feet
Length = 20 feet
Step-by-step explanation:
The area of a rectangle is A = l*w. Here the length is 8 feet more than the width or 8 + w and the width is w. So the area is A = w(8+w) = 8w + w²
If the dimensions are changed then the expressions will change. The width is increased by 4 feet. This means the width w becomes w + 4. The length is decreased by 5 feet. This means the length becomes 8 + w - 5 = 3 + w. So the area of the new triangle is A = (w+4)(3+w) = w² + 7w + 12.
Since the areas are the same, set them equal to each other and solve for w.
w² + 7w + 12 = 8w + w² Subtract w² from both sides.
7w + 12 = 8w Subtract 7w from both sides.
12 = w
The original width w is 12 feet. This means the original length which was 8 + w = 8 + 12 = 20 feet.
K easy 1 change 10 to -10 add it to -30 and get -40 divid -40 by 3.5 and get
x<-11 (if im worng sorry i am in pre algebra not algebra but i am good at math not fractions wet)
The answer is x^2 + y^2 = 49
Answer:
9.76 years turns 900 dollars into 1200 dollars.
Step-by-step explanation:
A(t) = 900*(1.03)^t
1200 = 900 * (1.03)^t Divide by 900
1200/900 = (1.03)^t
1.333 = 1.03^t Take the log of both sides.
- log(1.3333) = t * log(1.03)
- log 1.3333 = .1249
- log 1.03 = .0128
1.249 = 0.0128*t
1.249/0.0128 t = 9.76 years.
If you would like to know if Miles is going to spend more or fewer hours bicycling this week than last week, you can calculate this using the following steps:
2/3 as many hours:
2/3 * x hours
Because 2/3 is less than 3/3 = 1, this means that Miles is going to spend fewer hours bicycling this week than last week.