Answer:
Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.
In this case:
Open Bracket
Collect Like Terms
Solving using quadratic formula:
So:
or 
Since, x can't be negative, then:
One of the leg is:
Let
x,y, and z the long sides of the triangle
we know that
x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4
substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40
Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²
the answer is
26558.21 ft²
The solution to the linear equation is 2
<h3>How to solve the
linear equation?</h3>
The linear equation is given as:
3x - 1 upon 5 = x - 1 upon 3
Rewrite properly as
(3x - 1)/5 = (x - 1)/3
Cross multiply
9x - 3 = 5x- 5
Evaluate the like terms
4x = 8
Divide by 4
x = 2
Hence, the solution to the linear equation is 2
Read more about linear equations at:
brainly.com/question/14323743
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Because the movement of the minute han of a clock is clockwise ↓, then the angle of rotation will be negative.
1) we calculate the number of minutes from 6:10 to 7:00
number of minutes=7:00-6:10=6:60 - 6:10=50 minutes.
2)
We know that:
60 minutes of a clock have turned -360º
Then:
60 minutes of a clock------------------------- -360º
50 minutes of a clock------------------------- x
x=(50 minutes of a clock * (-360º))/60 minutes of a clock=-300º
Answer: A. -300º
Answer:
f(y) = 4y2 - 4v
f(y) = 4y² - 4(-4) = 4y² + 16
f(y) = 4y² - 4(-3) = 4y² + 12
f(y) = 4y² - 4(-2) =4y² + 8
f(y) = 4y² - 4(-1) = 4y² + 4
Step-by-step explanation:
