Answer:
11/18
Step-by-step explanation:
divide the numerator and denomonater by the GCD, whic is 6.
then you would get the reduced fraction of 11/18
Answer:
219.91 meters
Step-by-step explanation:
Answer:
B. 150 yards
Step-by-step explanation:
Area of a Triangle = .5 * Base * height
So we need the height of the triangle, or the missing side.
We have to use Pythagorean Theorem to solve this:
A^2 + B^2 = C^2
15 ^ 2 + B ^ 2 = 25 ^2
b^2 = 25^2 - 15 ^ 2
b^2 = 625 - 225
b^2 = 400
sqrt (400) = 20
The missing height is 20. Now we plug it into 1/2 * b * H
.5 * 15 * 20
7.5 * 20 = 150
150 Yds
You ANSWER : x=10 Let's solve !
Explanation : Let's solve your equation step-by-step.
1
3
(
2
x
−
8
)
=
4
Step 1: Simplify both sides of the equation.
1
3
(
2
x
−
8
)
=
4
(
1
3
)
(
2
x
)
+
(
1
3
)
(
−
8
)
=
4
(Distribute)
2
3
x
+
−
8
3
=
4
Step 2: Add 8/3 to both sides.
2
3
x
+
−
8
3
+
8
3
=
4
+
8
3
2
3
x
=
20
3
Step 3: Multiply both sides by 3/2.
(
3
2
)
*
(
2
3
x
)
=
(
3
2
)
*
(
20
3
)
x
=
1
It is not recommended that points be marked with X, let's marked with C(6,6)=(Xc,Yc)
The coordinates of the point C(Xc,Yc) which belongs to the line AB and divides line AB in a ratio m : n = 1 : 2 or m/n=1/2 are get it with following formula
Xc=(Xa+(m/n)Xb) / (1+(m/n)) and Yc=(Ya+(m/n)Yb) / (1+(m/n))
We have A(2,2)=(Xa,Ya) and B(14,14)=(Xb,Yb)
When we replace given coordinates we get
Xc=(2+(1/2)*14) / (1+(1/2)) = (2+7) /(3/2) = 9/(3/2) = (9*2)/3 = 3*2 =6 => Xc=6
Yc=(2+(1/2)*14) / (1+(1/2)) = (2+7) / (3/2) = 9/(3/2) = (9*2)/3 = 3*2 =6 => Yc=6
C(Xc,Yc)=(6,6)
Good luck!!!
