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
Anettt [7]
3 years ago
8

Linda shoots an arrow at a target in an archery competition. The arc of the arrow can be modeled by the equation y= -0.02x to th

e power of 2 + 0.65+4 where x is the horizontal distance (in meters) from Linda and y is the height (in meters) of the arrow. How far from Linda does the arrow hit the ground? Round to the nearest tenth.
Mathematics
2 answers:
rusak2 [61]3 years ago
7 0

Answer:

37.8metres

Step-by-step explanation:

The arc of the arrow can be modeled by the equation:

y=-0.02x²+0.65x+4

Where x is the horizontal distance (in meters) from Linda and y is the height (in meters) of the arrow.

The arrow hits the ground when its height (y) is zero.

Therefore, we determine the value(s) of x for which:

y=-0.02x²+0.65x+4=0

Using a calculator to solve the quadratic equation:

x=37.79 or -5.29

Since the distance cannot be a negative value, we ignore -5.29.

The distance from Linda when the arrow hits the ground is 37.8metres (to the nearest tenth)

KIM [24]3 years ago
4 0

Answer:

37.8 m

Step-by-step explanation:

Given:-

- The arc trajectory of the arrow is modeled by:

                    y = -0.02x^2 + 0.65x + 4

Where, x is the horizontal distance (in meters) from Linda

            y is the height (in meters) of the arrow

Find:-

How far from Linda does the arrow hit the ground? Round to the nearest tenth.

Solution:-

- We are to determine the range of the projectile trajectory of the arrow. The maximum distance "x_max" occurs when the arrow hits the ground.

- Set the trajectory height of arrow from linda , y = 0:

                   0 = -0.02x^2 + 0.65x + 4

- Solve the quadratic equation:

                   x = -5.29 m , x = 37.8 m

- The negative distance x lies at the back of Linda and hence can be ignored. The maximum distance travelled by the arrow would be = 37.8 m

                   

You might be interested in
How do I simplify 5 3/2
Volgvan

Note the improper fraction. Change it into a mixed fraction

3/2 = 2/2 + 1/2

2/2 = 1

5 + 1 1/2

Simplify.

5 + 1 = 6

6 1/2 is your answer

hope this helps

5 0
3 years ago
Read 2 more answers
In a mathematics test given to 15 students, the following marks (out of 100) se recorded. Find the mean 41,39,48,52,46,62,54,40,
fgiga [73]

Answer:

54.8

Step-by-step explanation:

41+39+48+52+46+62+54+40+96+52+98+40+42+52+60 = 822

822/15= 54.8

Please mark this as Brainliest if it helped you

8 0
3 years ago
Read 2 more answers
Dan drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at incremen
Anit [1.1K]
     0, 3
-   10, 15
= -10, -12
therefore, the slope is 6/5, and the intercept (c) is as supplied, 3.
the equation, y=mx+c or y = a + bx, can be applied here where m or b = 6/5, and a or c = 3.

therefore the equation is y=6/5x+3.

To test this, you can put in y = 10(6/5)+3, which spits out y = 15. This way we know it *should* work.

3 0
3 years ago
Sarah has 284 coins in a piggy bank with a total value of $22.78. Sarah has 173 pennies, 5 more dimes than nickels, the rest are
pickupchik [31]
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)

a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1)  N + D + Q = 111 coins

b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins

c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:

(1)  N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78




7 0
3 years ago
The length of a 1-inch paperclip is about 1.6 x 10−5 miles. It takes about 1.5 x 1010 paperclips linked together to reach the mo
son4ous [18]

Answer:

Distance from the moon is 2.4 × 10⁵ miles

Step-by-step explanation:

Length of 1-inch paperclip = 1.6\times 10^{-5} miles

Number of paperclips used to reach the moon = 1.5 × 10¹⁰

Total distance from the moon = Number of paper clips used × Length of one clip

= (1.5 × 10¹⁰) × (1.6 × 10⁻5)

= (1.5 × 1.6) (10¹⁰× 10⁻⁵)

= 2.4 × 10⁽¹⁰⁻⁵⁾ miles

= 2.4 × 10⁵ miles

Distance from the moon is 2.4 × 10⁵ miles.

5 0
3 years ago
Other questions:
  • Let x represent any year. Write an inequality in terms of x and 1610
    10·1 answer
  • The Mathematics Department at Sun Tan University is sending a delegation of mathematicians and graduate students to a conference
    7·1 answer
  • How do you find the cost of 4 2/8 with 64 cents each piece
    7·1 answer
  • What is the domain of the function y=2x-6?<br> -00 O 0 o 3 O 6<br><br><br> help
    12·2 answers
  • A triangle has side lengths of (2.4k-7.4) centimeters, (6.3k-2.2) centimeters and (6.8m+2.4) centimeters. which expression repre
    5·1 answer
  • What equations are equivalent to -4+(4+5)?
    14·1 answer
  • Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    13·1 answer
  • Kaden says the number 13 is an irrational number. Which statement best explains whether Kaden is correct?
    11·2 answers
  • When Maureen had one cat, she needed to serve 1/8 of a can of cat food each day. Now that Maureen has adopted a second cat, she
    8·1 answer
  • Write 110% as a mixed number in simplest form.<br><br> 110% = $$
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!