Step-by-step explanation:
Hello,
First, there are 8 possible outcomes for the game spinner.
Second, the spinner is on 5, meaning that the outcome is 5.
Try to work with this, and if you need more help, I’ll answer back if I can.
Answer:
a.
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:

Answer:
x = 14
Step-by-step explanation:
In the triangle O is the centroid.
Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.
So, from the given diagram we can write
⇒ 3x = 4x - 14
⇒ x = 14 (Answer)
Answer:
x² - 64
Step-by-step explanation:
Given
(x + 8)(x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 8) + 8(x - 8) ← distribute both parenthesis
= x² - 8x + 8x - 64 ← collect like terms
= x² - 64
With replacement:
P(C,V)=(12/40)(28/40)
P(C,V)=336/1600
P(C,V)=21/100