Answer:
x = 50 in
Step-by-step explanation:
Since it is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2
14^2 + 48^2 = x^2
196 + 2304 = x^2
2500 = x^2
Take the square root of each side
sqrt(2500) = sqrt(x^2)
50 =x
x = 50 in
Answer:
8th: 23
11th: 32
15th: 44
22nd: 65
18th: 53
Step-by-step explanation:
The pattern is adding 3 each time:
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65
Hope it helps!
Part 1:
For this case we must see in the graph the axis of symmetry of the given parabola.
We have then that the axis of symmetry is the vertical line t = 2.
Answer:
The height of the javelin above the ground is symmetric about the line t = 2 seconds:
Part 2:
For this case, we must see the time t for which the javelin reaches a height of 20 feet for the first time.
We then have that when evaluating t = 1, the function is h (1) = 20. To do this, just look at the graph.
Then, we must observe the moment when it returns to be 20 feet above the ground.
For this, observing the graph we see that:
h (3) = 20 feet
Therefore, a height of 20 feet is again reached in 3 seconds.
Answer:
The javelin is 20 feet above the ground for the first time at t = 1 second and again at t = 3 seconds
Answer:
Whether you're teaching the meaning of fractions or fraction operations, visual models can help students connect fractions to what they already know. Division is an essential foundation for fractions. Once students can divide objects into equal groups, they can begin to grasp dividing a whole into equal parts.
Step-by-step explanation:
Answer:
A = $56,740
Step-by-step explanation:
Use the Compound Amount formula A = P(1 + r)^t. Substitute 0.05 for r and $40,000 for P:
A = $40,000(1 + 0.05)^6
A = $56,740.26, or, rounded off to the nearest dollar,
A = $56,740
