URGENT HELP (picture says everything you need to know)

A punter kicks a football upward with an initial speed of 48 feet per second. After how many seconds does the ball hit the groun

lana [24]

Substituting the given information into the formula gives
0 = 48t - 16t²
Factoring, this becomes
0 = 16t(3-t)
The ball is at ground level when t=0 or t=3.

The ball hits the ground after 3 seconds.

4 0

3 years ago

Solve the question below. A. 3 B. 7.5 C. 4.5 D. 6

Otrada [13]

Answer:

3

Step-by-step explanation:

Triangle ABO is a right triangle, and so we can use the Pythagorean Theorem to find the radius, r:

r² + 6² = 7.5², or r² = 56.25 - 36 = 20.25

Taking the square root of both sides yields r = √20.25 = 4.5.

If the radius is 4.5, then subtracting this from 7.5 yields 3, the distance between point A and the rim of the circle.

The desired distance is 3 (Answer A).

4 0

4 years ago

What is a sextant and how is it used?

Elan Coil [88]

A sextant is a doubly reflecting navigation instrument that measures the angular distance between two visible objects. The primary use of a sextant is to measure the angle between an astronomical object and the horizon for the purposes of celestial navigation.

The estimation of this angle, the altitude, is known as sighting or shooting the object, or taking a sight. The angle and the time when it was measured, can be used to calculate a position line on a nautical or aeronautical chart. For example; sighting the Sun at noon or Polaris at night (in the Northern Hemisphere) to estimate latitude. Sighting the height of a landmark can give a measure of distance off and held horizontally.

A sextant can measure angles between objects for a position on a chart. A sextant can also be used to measure the lunar distance between the moon and another celestial object (such as a star or planet) in order to determine Greenwich Mean Time and hence longitude.

Hope this helps!

~ ShadowXReaper069

7 0

3 years ago

Which of the following statements have the same result? Explain each step in solving each one.. . I f(3) when f(x) = 2x + 2. II

zhuklara [117]

F(x) = 2x + 2.....find f(3)
f(3) = 2(3) + 2
f(3) = 6 + 2
f(3) = 8

f(x) = (3x - 4)/5....find f^-1(4)
y = (3x - 4)/5...swap the variables
x = (3y - 4)/5 ...solve for y
5x = 3y - 4
5x + 4 = 3y
(5x + 4)/3 = y
f^-1(x) = (5x + 4)/3.....for f(4)
f(4) = (5(4) + 4)/3
f(4) = (20 + 4)/3
f(4) = 24/3
f(4) = 8

y + 10 = 2y + 1
y - 2y = 1 - 10
-y = -9
y = 9

so 1 and 2 have the same result...8

8 0

4 years ago

A croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccol

slamgirl [31]

Answer:

A. 6 188

B. 749 398

C. 6 188

D. 52 975

E. 20 349

F. 11 316

Explanation:

(a) The shop has 6 types of croissants of which a dozen(12) has to be selected

Therefore n=6, r=12

Repetition of croissants is permitted

And C(n+r-1, r)

C(6+12-1, 12) = C(17, 12) = 17!÷ 12!(17-12)! = 17!÷12! 5! =6 188

(b) The shop has 6 types of croissants of which three dozen(36) has to be selected

Therefore n=6, r=36

Repetition of croissants is permitted

And C(n+r-1, r)

C(6+36-1, 12) = C(41, 36) = 41!÷ 36!(41-36)! = 41!÷36! 5! = 749 398

(c) The shop has 6 types of croissants of which two dozen(24) has to be selected

Let us first select 2 of each kind which 12 croissants in total. Then we still need to select the remaining 12 croissants

Therefore n=6, r=12

Repetition of croissants is permitted

And C(n+r-1, r)

C(6+12-1, 12) = C(17, 12) = 17!÷ 12!(17-12)! = 17!÷12! 5! =6 188

(d) The shop has 5 types of croissants of which two dozen(24) has to be selected

Therefore n=5, r=24

Repetition of croissants is permitted

And C(n+r-1, r)

C(5+24-1, 24) = C(28, 24) = 28!÷ 24!(28-24)! = 28!÷24! 4! = 20 475

5 0

4 years ago