Answer:
Base of triangle = 2.4 Feet and Height of triangle = 10 feet.
Step-by-step explanation:
This problem can be solved by using formula to calculate area of triangle.
<u>Area of triangle = 1/2*(base*height)</u>
given
Let base of triangle B
height if triangle H
according to problem
The height of a triangle is 2 less than 5 times its base
mathematically it can be expressed as
H = 5*B - 2
Given area of triangle= 12 sq feet
Area of triangle = 1/2*(base*height)
=> 12 = 1/2* {B*(5*B-2)}
=> 24 = 5B^2 - 2B
which is a quadratic equation
It can be solved as given below
Since for side of triangle B cannot be negative number hence B= 12/5 = 2.4
Therefore height of triangle = 5*B - 2 = 5*2.4 - 2 = 12 - 2 = 10
Base of triangle = 2.4 Feet and Height of triangle = 10 feet.
Equation which models this situation is
400 miles per hour is a rate. For every hour, the airplane travels four hundred miles.
Knowing this, If the plane travels for three hours, we use a simple multiplication equation to represent this problem.
400 x 3 = 1200
The plane traveled 1200 miles, if it traveled at a speed of four hundred miles for three hours.
Q4) x+4 = 15
15-4 = x
x = 11
Q5)
18 + 12 = x
x - 12 = 18
30 - 12 = 18
x = 30
I hope this helped, please give this the Brainliest answer! :3
Since we know that a square has all equal sides, we can simply divide the perimeter by 4 to get each side length.
Using the information above, we can see that each side is
3x+13 units.
We can manipulate the arithmetic sequence formula to solve this problem.
Let's look at
where
is the
term,
is the first term,
is the number of terms, and
is the common difference. We already know that
is equal to
,
is equal to
, and
is equal to
. This therefore leave us with only the common difference to solve.
Manipulating the formula we can arrive at the answer:
ANSWER: The common difference is 8.
