Answer:
h=6 feet
Step-by-step explanation:
Given: 1. The base of a rectangle is three feet longer than its height.
2.Are of the rectangle=54 square meters
Let us say the rectangle has height h and base(breadth) b.
Since, the base of the rectangle is three feet longer than the height, we have b=h+3.
Also, Area of the Rectangle= hb
therefore, 54=h(h+3)
54= h2+ 3h
h2+3h-54=0 (Subtract 54 from both the sides)
To find the value of h we have to solve the quadratic equation.
[We have the equation in the form ax2+bx+c=0, to factorise the equation-
Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.
Step2. Replace b with these numbers.
Step3. Simplify the equation]
So, h2+3h-54=0
h2+9h-6h-54=0
h(h+9)-6(h+9)=0
(h+9)(h-6)=0
Which gives-
h= -9 or h= 6
As h is the height of the rectangle, h can not be -9.
so h=6 feet
and b=h+3=9 feet
So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.
The answer is d x 15 =100
In order to get the value of d, you must transpose the constant 15 to the left side of the equation.
It can also be written like this:
15d = 100
Divide both sides by 15:
15d / 15 =100/15
d = 6.667 meters per second
11x+2 = 9x+6. Subtract 2 from both sides. 11x = 9x+6. subtract 9x from both sides. 2x = 4, divide both sides by 2. x = 2. Substitute the x with 2 and check to see it it works. The numbers should equal each other.
Answer:
Step-by-step explanation:
- Two triangular ends
- Area of one = 1/2 b * h
- b =1.2
- h =0.9
- Area = 1/2 * 1.2 * 0.9 = 0.54 sq meters
- Area of 2 = 2 * 0.54 1.08
Area bottom
- L = 3.5 m
- w = 1.2
- Area = L * W
- Area = 3.5 * 1.2
- Area = 4.2
Area Back
- L = 3.5
- W = 0.9
- Area = 3.5 * 0.9
- Area = 3.15
Area Slanted piece
- L = 3.5
- w = 1.5
- Area = L * W
- Area = 3.5 * 1.5 = <u> 5.25</u>
Total = 5.25 + 3.15 + 4.2 + 1.08 = 13.68
Answer:
Percentage of votes in favour of new speed limit=50%
Step-by-step explanation:
There was a voting in Molly's town to set a new limit for the speed attained by a vehicle.
In Molly's town,
- Number of votes recorded=38
- Number of votes in favour of the new speed limit=19
We have to find the percentage of votes in favour of the new speed limit.
For that,the percentage of votes in favour=
Percentage of votes in favour=
Percentage of votes in favour=50%
