Answer:
x = -4 y = -1
Step-by-step explanation:
x + 4y = -8
4y = -x - 8
y = -1/4x - 2
6x - 2(-1/4x - 2) = -22
6x + 1/2x + 4 = -22
13/2x + 4 = -22
13/2x = -26
x = -4
(-4) + 4y = -8
-4 + 4y = -8
4y = -4
y = -1
Answer:
1/625, or 0.0016 is the answer.
Answer:
9/2
Step-by-step explanation:
Answer:
<u>Longer leg = 5 feet</u>
<u>Shorter leg ≅ 2.89 feet</u>
<u>Hypotenuse ≅ 5.78 feet</u>
Step-by-step explanation:
Let's recall that this is a special type of triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the sides is 1: √3 :2. That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg.
Upon saying that, we can find the length of the legs of the triangle given:
Longer leg = 5 feet
Shorter leg * √3 = 5
Shorter leg = 5/√3 = 5√3/3 ≅ 2.89 feet
Hypotenuse = 2 * Shorter leg
Hypotenuse = 10√3/3 ≅ 5.78 feet
Answer:
The number of ways it could be done is:
720
Step-by-step explanation:
It is given that:
There are 10 cars in today’s Grand Prix race.
We have to find the different number of ways these three cars win first second and third places.
That is we have to choose the three cars and arrange them in ways as according to they obtain there ranks.
Hence, we will use the method of permutation since we have to choose three cars and also arrange them according to their order they finished the race and took first, second and third place.
Hence, the number of ways it could be done is:
Here we have n=10 and r=3.
Hence,
Hence, the number of ways it could be done is:
720