Hey!
First, let's write the problem.
Multiply
with
.
Subtract
from both sides.
Divide both sides by
.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
The distance of the boat on the right to the finish line is 297.29 m and the distance of the boat on the left to the finish is 294.11 m, so the boat on the left will reach the finish line faster.
<h3>How do you know which boat will reach the finish line faster?
</h3>
The image shows two triangles of which we know an angle and the value of the opposite leg. Therefore, we can perform a mathematical operation to know the value of the hypotenuse of these triangles, which would be the distance of the boats to the goal as shown below.
h = hypotenuse
Sen 22° = 
h = 
h = 
h = 297,29 m
Sen 20° = 
h = 
h = 
h = 294,11 m
According to the above, the distance of the boat on the left is less, so it can be inferred that this boat will reach the finish line faster.
Learn more about triangles in: brainly.com/question/2269348
Use the rational roots test. The possible roots are: plus/minus 6,3,2,1
Use synthetic division and you will see that 3 is a root:
3 | 1 -3 -3 11 -6
| 3 0 -9 6
____________
1 0 -3 2 0
Use rational root again, to see that possible roots are: plus/minus 2,1
Try 2:
2 | 1 0 -3 -2
| 2 4 2
_____________
1 2 1 0
The above is x^2+2x+1 which is a perfect square: (x+1)^2
So we have the final factorization: (x-3)(x-2)(x+1)^2
So the roots are: 3, 2, -1
Where -1 is a double zero.
Answer:
x = 5
Step-by-step explanation:
Answer:
1/30 = 3.33%
Step-by-step explanation:
There are 3 different flavors available and the favorable outcome is only strawberry flavor. There are 10 toppings and the favorable outcome is sprinkle. To calculate the probability for the two events, you just need to multiply both. The calculation will be:
P(strawberry) * P(sprinkle) = 1/3 * 1/10= 1/30
