To solve this problem, let us first assign some variables.
Let us say that:
v1 = velocity of airplane = 180 mph
t1 = time travelled by airplane
v2 = velocity of jet = 330 mph
t2 = time travelled by jet
Since we know that distance is the product of velocity and
time, and that the distance travelled by the two must be equal for the jet to
catch up to the plane, hence:
v1 * t1 = v2 * t2
But we know that:
t1 = t2 + 1
Therefore:
180 (t2 + 1) = 330 t2
180 t2 + 180 = 330 t2
150 t2 = 180
t2 = 1.2 hours
<span>Therefore the jet can catch up to the plane after 1.2
hours it takes off.</span>
1. What are the coordinates of the circumcenter of a triangle with vertices A(0,1), B(2, 1) , and C(2, 5) ?
2. What are the coordinates of the centroid of a triangle with vertices A(−6, 0) , B(−4, 4) , and C(0, 2) ?
The probability is .919
I used normCdf(1.48,15.56,8,4).
Or
normCdf(-1.63,1.89,0,1) if you standardize your numbers
Answer:
E. 36
Step-by-step explanation:
You have to do a² + b² = c²
Plug in
15² + b² = 39²
225 + b² = 1521 (subtract 225 on both sides)
√b² = √1296 (square root on both sides)
b = 36
Hope this helps ya!
Answer: 22 small snow cones and 34 large snow cones were sold.
Step-by-step explanation:
Let x represent the number of small snow cones that were sold.
Let y represent the number of large snow cones that were sold.
Selena's snow cone stand sells small snow cones for $2 and large snow cones for $3.50. One summer day, she sold $163 worth of snow cones. This means that
2x + 3.5y = 163 - - - - - - - - - - 1
If the number of large snow cones sold was 12 more than the number of smalls snow cones, it means that
y = x + 12
Substituting y = x + 12 into equation 1, it becomes
2x + 3.5(x + 12) = 163
2x + 3.5x + 42 = 163
5.5x = 163 - 42
5.5x = 121
x = 121/.5 = 22
y = x + 12 = 22 + 12
y = 34
