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
lions [1.4K]
3 years ago
9

If a certain cannon is fired from a height of 9.8 meters above the​ ground, at a certain​ angle, the height of the cannonball ab

ove the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.
Mathematics
1 answer:
ladessa [460]3 years ago
4 0

Answer:

6.53 s

Step-by-step explanation:

The height of the cannon ball is represented by a quadratic function as:

h(t) = -4.9t² + 30.5t +9.8.

At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8

That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:

h(t) = -4.9t² + 30.5t +9.8

It touches the ground when h(t) = 0. Hence:

0 = -4.9t² + 30.5t + 9.8

Solving the above quadratic equation gives:

t = 6.53 s and t = -0.31 s

Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.

You might be interested in
Simplify the expression by combining like
MatroZZZ [7]

Answer:

Step-by-step explanation:

2m^2-m+4m^2+8m combine like terms

6m^2+7m

3 0
3 years ago
Read 2 more answers
Find the area of the shape shown below.
hichkok12 [17]

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.

Hope this helps

6 0
3 years ago
bookstore carries 20 magazines. 90% of the magazines are women's. how many magazines does the store carry
Nat2105 [25]
The store carries 20 magazines but if you are asking how many many magazines are women's the answer is 18
8 0
3 years ago
Need Help ASAP WILL MARK YOU BRAINLYEST
Dima020 [189]

he divided by 2 instead of taking the square root so the actual answer should be 26 and for the second the 20 is across from the  90 so its suppose to be c

the answer should be 16

5 0
3 years ago
What's the reciprocal of 5/18 please help :/
Alex_Xolod [135]

Answer:

Reciprocal of 5/18 is 18/5.

5/18 x 18/5 = 90/90

                  = 1

8 0
3 years ago
Read 2 more answers
Other questions:
  • Picturing the way a volcano erupts to remember how a volcano functions is called
    8·2 answers
  • How many people are on earth ?
    9·1 answer
  • What are the exact values of the x-intercepts of the function f(x)=x2-8x-6
    6·1 answer
  • Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this
    15·1 answer
  • Steve borrows $20,000 for a car at an annual interest rate of 8.5% for 5 years. What is the balance of his loan?
    9·1 answer
  • I don’t know how to solve this
    10·1 answer
  • Members of a park-walking club were asked how often do they visit a gym or other exercise facility outside their home. The follo
    10·1 answer
  • A circle has a diameter of 6, an area of b square units, and a circumference of c units. What is the value of b + c ?
    15·2 answers
  • IS IT CORRECT ??? PLS
    8·1 answer
  • You are remodeling your kitchen. You have contacted 2 tiling companies who gladly told you how long it took their workers to til
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!