3 9
_ * _
15 6
Compare diagonally to see if they the 2 numbers simplify.
Ex:
3 and 6 Simplify to 1 and 2 because they are both multiples of 3.
9 and 15 Simplify to 3 and 5 because they are both multiples of 3 as well.
Now our fractions are
1 3
_ * _
5 2
Now multiply across to get your final fraction/answer
3
_
10
A=49.44
B=232.91
C=-283.29
(49.44-232.91)+(-283.29)=-466.76
-283-(232.91+49.44)=-565.35
Answer:
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.
We also know we are using 3.14 for pi. Substitute it in for pi.
Multiply.
The circumference of the circle is 69.08 centimeters.
Answer:
9.233 ft, 23.233 ft
Step-by-step explanation:
If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...
x^2 + (x +14)^2 = 25^2
2x^2 +28x +196 = 625
x^2 +14x = 214.5
x^2 +14x +49 = 263.5
(x +7)^2 = 263.5
x = -7 +√263.5 ≈ 9.23268
The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
