Answer:
Option B). 10 cm
Step-by-step explanation:
Distance between center and the focus of an ellipse is given by the formula,
c² = a² - b²
where, a = length of the major axis
b = length of the minor axis
and c = distance between focus and center
If c = 6 cm, b = 8 cm,
6² = a² - 8²
a² = 6² + 8²
a² = 36 + 64
a² = 100
a = 10 cm
Therefore, length of the major axis is 10 cm.
Option (B) is the answer.
See, pls, the offered decision:
1. this ratio has another form: 2x/3x/4x;
2. the difference between the largest and the smallest is 4x-2x=10.
Then x=5, and the sequence of numbers is 10/15/20, where 15 is the middle number.
Answer: 15.
Answer:
c
Step-by-step explanation:
Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
__
Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
__
The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
Answer:
Step-by-step explanation:
<u>In right triangle sum of two angles is 90°</u>
- 4x + x = 90°
- 5x = 90°
- x = 90°/5
- x = 18°
<u>Angle y is exterior angle and equals non-adjacent interior angles</u>
- y = 4x + 95° =
- 4*18° + 95° =
- 72° + 95° =
- 167°