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

Answer:
5 and 1 over 6
Step-by-step explanation:
<u>Simplifying the given:</u>
- Negative 2 and 1 over 6 – negative 7 and 1 over 3 ⇒ <em>translated as</em>:
- - 2 1/6 - (-7 1/3) = ⇒ <em>cancelling negatives and changing mixed fractions to improper fractions</em>
- - 13/6 + 22/3 = ⇒ <em>bringing to same denominator</em>
- - 13/6 + 44/6 = ⇒ calculating the numerator
- 31/6 = ⇒ making mixed fraction
- 5 1/6 ⇒ answer
<u>Correct choice is the last one: </u>5 and 1 over 6
<em>Hi</em><em>!</em>
<em>Answer</em><em>:</em>
<em>6</em><em> </em><em>+</em><em> </em><em>(</em><em>-9</em><em>)</em><em> </em><em>-</em><em> </em><em>(</em><em>-4</em><em>)</em><em> </em><em>-</em><em> </em><em>3</em><em> </em><em>=</em>
<em>=</em><em> </em><em>6</em><em> </em><em>-</em><em> </em><em>9</em><em> </em><em>-</em><em> </em><em>b</em><em> </em><em>(</em><em>-4</em><em>)</em><em> </em><em>-</em><em> </em><em>3</em>
<em>=</em><em> </em><em>6</em><em> </em><em>-</em><em> </em><em>9</em><em> </em><em>+</em><em> </em><em>4b</em><em> </em><em>-</em><em> </em><em>3</em>
<em>=</em><em> </em><em>-6</em><em> </em><em>+</em><em> </em><em>4b</em>
<em>=</em><em> </em><em>4b</em><em> </em><em>-</em><em> </em><em>6</em>
<em>I hope I helped you! Good luck at school! </em>
Answer: 22 minutes
Step-by-step explanation: 500-170 means that he drained 330 gallons of water so 330 divided by 15 gallons a minute so you get 22 so it takes 22 minutes to have 170 gallons left in the pool
Answer: 18
Step-by-step explanation: 6 x 3 = 18, 18 x 1 = 18