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vova2212 [387]
3 years ago
14

A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angle of 20° above the horizontal. How far does the ju

mper jump?
Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

x = 9.5 m

Step-by-step explanation:

Given:

This problem is based on 2D motion kinematics equations:

V_0 = 12 m/s

\theta = 20^0

g=9.8 m/s^2

At maximum height:

V_y = 0

Components of initial velocity:

V_0x = V_0 cos (\theta) =(12 )(cos (20^0)) = 11.3 m/s

V_0x = V_0 sin (\theta) = (12)(sin (20^0)) = 4.10 m/s

To find time to reach maximum height:

V_y = V_0y -gt

Plugging in the known values:

0 = 4.10 - 9.8t

t = \frac{-4.10}{-9.8}

t = 0.418 s

Total time = 2t = 2(0.418) = 0.836 s

to find horizontal distance covered:

x = (V_0x)(t)\\x = (11.3)(0.836)\\x = 9.5 m

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Write an equation for each problem. Then solve.
Nana76 [90]

Answer:

<em>The price is the same at both stores for 2 prints.</em>

Step-by-step explanation:

<u>Equations</u>

Let's set the variable

x = number of photo prints

Company Photo Plus charges $2 for each print and $6 for a processing fee, thus the total charges are:

PP = 6 + 2x

Company Picture Time charges $3 for each print and $4 for a processing fee, thus it charges a total of:

PT = 4 + 3x

It's required to find the number of prints that make both stores charge the same. Equating both functions:

6 + 2x = 4 + 3x

Subtracting 2x and 4:

x = 2

The price is the same at both stores for 2 prints.

4 0
3 years ago
How to answer the question
tatyana61 [14]
5/60 = 12
12 x 3 =36
J
4 0
3 years ago
Read 2 more answers
1/4 (-12+3) -8/3<br> Simplified
labwork [276]

Answer:

-59/12

Step-by-step explanation:

finish whats inSide brackets first

so -12+3 =-9

-9*1/4 will be next and = -9/4

9/4+8/3 =. 59 /12

6 0
2 years ago
Madison is making party flavors she wants to make enough flavors so each guest gets the same number of flavors she knows there w
bazaltina [42]

Answer:


Step-by-step explanation:

To find the least number of party favors, we have to consider the number of guests.


In this case, there are two possibilities—6 or 8.


For 6: 6, 12, 18, 24 (Add 6 to each number)

For 8: 8, 16, 24 (Add 8 to each number)


Now in both series, the least number (that is in common) is 24. Hence, Madison should make at least 24 party favors.




7 0
2 years ago
POSSIBLE POINTS: 5.88
Bess [88]

The function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)

<h3>How to write a function of the length z in meters of the side parallel to the wall?</h3>

The given parameters are:

Perimeter = 210 meters

Let the length parallel to the wall be represented as z and the width be x

So, the perimeter of the fence is

P = 2x + z

This gives

210 = 2x + z

Make x the subject

x = 1/2(210 - z)

The area of the wall is calculated as

A = xz

So, we have

A = 1/2(210 - z) * z

This gives

A = z/2(210 - z)

Rewrite as

A(z) = z/2(210 - z)

Hence, the function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)

Read more about functions at

brainly.com/question/1415456

#SPJ1

5 0
1 year ago
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