Answer:
There are 8 granola bars in a pack and 12 fruit rolls in a pack.
Step-by-step explanation:
10x+6y=152
5x+3y=76
7x+12y=200
-20x-12y=-304
-13x=-104
x=8
40+3y=76
3y=36
y=12
The answer to the question is b ok buy
We know that
• The total is nine starters.
,
• The coach wants to choose three.
Given that the player cannot include repetition, we solve this problem as a combination because the order does not matter.
Where n = 9, and r = 3. Let's replace these values.
<h2>Hence, there are 84 different ways to choose the first three.</h2>
Answer:
Height of Flagpole: 24.03 feet
Length between tip of flagpole and tip of shadow: 46.67 feet
Step-by-step explanation:
So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):
tanθ = opposite/adjacent
tan(31°) = h/40
40tan(31°) = h
24.03442476 = h
h ≈ 24.03
Therefore, the height of the flagpole is about 24.03 ft.
As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):
a² + b² = c²
(40tan(31))² + (40)² = c²
577.6535736 + 1600 = c²
2177.6535736 = c²
46.66533589 = c
c ≈ 46.67
Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.
If the ratio of Geometric is 1.
The value of each term is the same.
E.g a, a, a, a, a, ....
So the sum of first n terms would be n multiplied by each term = na
