Using pythagorean's theorem
a^2+b^2=c^2
a being 3
b being 4
we'll get
9+16=25
where 5 is the hypotenuse and also c.
c^2 = 5^2
First you need to solve for angle F then you can use 1/2acSinB. If you haven't done this you can also use the Pythagoras theorem and solve for the unknown side once you do that you can just use 1/2 b*h
Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m =
= 
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m = 
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
m =
= 
Simplify,
⇒ 
Therefore, the Equation of the line is y = 0.5x + 5.
Answer:
333 meters per second
Step-by-step explanation:
Answer:
5.6, 21.3
Step-by-step explanation:
Let x be the width.
We know that the length is 10+2x. The area of a rectangle is length times width, so substitute the values.
x*(10+2x)=120
10x+2x^2=120
Divide both sides by 2.
x^2+5x=60
Add 25/4 to both sides so we can make a square.
x^2+5x+
25/4=
60+25/4=265
/4
Factor the left side.
(x+
5
/2
)^2=
265
/4
x+2.5=(positive or negative) sqrt(265/4)
x=(positive or negative) sqrt(265/4)-2.5
But, we know that if the equation is negative, the width of the rectangle would be negative. Therefore, x=positive sqrt(265/4)-2.5
Then, we will find the sides.
sqrt66.25-2.5=5.63941, or about 5.6
10+(2(sqrt66.25-2.5))= 21.278821, or about 21.3