Answer:
b = 6 sqrt(2)
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + b^2 = 9^2
9+b^2 = 81
b^2 = 81-9
b^2 = 72
Take the square root of each side
sqrt(b^2) = sqrt(72)
b = sqrt(36*2)
b = 6 sqrt(2)
Answer:
<h2>
43°</h2>
Step-by-step explanation:
In a cyclic quadrilateral, the sum of two opposite angles are equal.
m<R + m<P = 180°
plugging the values:
3y + 8 + y = 180°
Combine the like terms:
4y + 8 = 180°
Subtract 8 on both sides
4y + 8 - 8 = 180 - 8
Calculate the difference
4y = 172
divide both sides of the equation by 4
4y/4 = 172/4
calculate
y = 43°
Hope this helps...
If there are 8 pints in a gallon there are 4 gallons
32(pints) divided by 8 is 4
Answer: 7/3
Step-by-step explanation:
R-P= (3,-7). the displacement vector.
P+x(R-P) moves to x times distance between
P+(R-P) = R moves to 100% of the distance.
Q = P+2/3(R-P)
= (-2,7)+2/3(3,-7)
= (-2,7)+(2,-14/3)
= (0,7-14/3)
= (0,7/3)
= (0,2.3333...)
Answer:
x=2,y=2
Step-by-step explanation:
This question is a simultaneous equation
So let's solve
3x+y=8...(1)
2x+2y=8....(2)
Multiply (1) by 2
6x+2y=16...(3)
Substrate (2) From (3)
4x=8
Let's make x the subject of formula by dividing both sides by 4
x=2
So let's substitute the value of x into (1)
3x+y=8
3(2)+y=8
6+y=8
y=8-6
y=2
Therefore x is 2,y is 2
