1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fomenos
3 years ago
15

4. A rock is thrown with a height equation of h = -16t2 + 64t + 5 (where h is the height of the rock in feet at any given time o

f t in seconds). Will it reach a height of 50 feet? Explain your answer.
Mathematics
1 answer:
boyakko [2]3 years ago
6 0

Answer:

Yes,  see below.

Step-by-step explanation:

Convert the equation to vertex form to find the maximum height:

h = -16t2 + 64t + 5

= -16(t^2 - 4t) + 5

= -16 [(t - 2)^2 - 4] + 5

= -16( t - 2)^2  + 64 + 6

= -16(t - 2)^2 + 69.

So the maximum height the rock reaches is 69 feet.

This height is reached at 2 time seconds.

You might be interested in
Can some help me with this
Oksana_A [137]
  1. 8^3+ 5^5 = 537
  2. 3^3 * 9^2 = 2,187
  3. 7^2 + 8^3 - 4^2 = 545
  4. 8^3 * 5^3 / 5^2 = 2,560

5 0
3 years ago
In 3/4 pound of cake mix, there are 2/5 cups of flour. How much flour does the cake mix contain per pound?
Firdavs [7]

Answer:

5/9

Step-by-step explanation:

5 0
3 years ago
Can someone help me I’m having trouble finding the area of the shaded region in each figure and round the answer to two decimal
stellarik [79]

Answer:

Step-by-step explanation:

Area of a Semi Circle

Area = 1/2 pi r^2

r = d/2

r = 3/2

r = 1.5

Area = 1/2 3.14 * 1.5^2

Area = 1/2 * 3.14 * 2.25

Area =                                                           3.5325

Area of Rectangle

L = 12 Yd

W = 4 Yd

Area = L * W

Area = 12 * 4<u>  =                                          48 </u>

Total Area =                                               51.5325

5 0
3 years ago
A pizza slice is in the shape of a circular sector OAB, with the central angle 0 = 50 deg and a radius of 7cm. 0 A B В Find the
Goryan [66]

Answer:

<em>The perimeter of the pizza slice is 20.1 cm</em>

Step-by-step explanation:

<u>Perimeter of a Sector of a Circle</u>

The arc length of a sector of a circle of radius r and angle θ is given by:

L = rθ

The angle must be expressed in radians.

The total perimeter of the circular sector, including the two radii, is:

P = rθ + 2r

The pizza slice has a radius of r=7 cm and a central angle of θ=50°

Converting to radians:

\theta=50*\frac{\pi}{180}=\frac{5\pi}{18}

The perimeter is:

P = 7*\frac{5\pi}{18} + 2*7

Calculating:

P = 20.1 cm

The perimeter of the pizza slice is 20.1 cm

6 0
2 years ago
Assalaamu alaikum...,
aleksandr82 [10.1K]

Answer:

see below

Step-by-step explanation:

alaikum salam.

<u>2. </u><u>find</u><u> </u><u>cos Ф,   sin Ф,  tan Ф</u>

cos Ф = 5 / 13

Ф = 67.38

sin Ф = 12 / 13

Ф = 67.38

tan Ф = 12 / 5

Ф = 67.38

-----------------------

<u>3. find sin β,  cos β,  tan β</u>

sin <u>β</u> = 4 / 5

<u>β</u> = 53.13

cos <u>β</u> = 3 / 5

<u>β</u> = 53.13

tan <u>β</u> = 4 / 3

<u>β</u> = 53.13

4 0
3 years ago
Read 2 more answers
Other questions:
  • A truck rental company charges $50 plus $10 per hour. Identify a function that represents the total charge for renting a truck f
    6·1 answer
  • What are the solutions to the following system?
    5·2 answers
  • Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 15 hours and traveled 1,005 miles. At
    9·2 answers
  • A sample in which every person object or event has a equal chance of being selected
    11·1 answer
  • F(x) = -2x + 5<br> f ( ) = 13
    6·1 answer
  • usain bolt, a Jamaica retired sprinter and world record holder in the 100 meters, 200 meters and 4 × 100 meters relay, has an av
    8·1 answer
  • Plz help me ! axdmdd dldbs​
    6·1 answer
  • A company that produces DVD drives has a 12% defective rate. Let X represent the number of defectives in a random sample of 55 o
    14·1 answer
  • What is the correct answer?​
    11·2 answers
  • Bags of nails weigh 200 grams each.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!