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9966 [12]
4 years ago
11

To win the long jump, you need to jump a distance greater than 2.25 m. Your personal best jump is 2.1 m. How much do you need to

increase your personal best by to win?
Mathematics
2 answers:
DiKsa [7]4 years ago
5 0
Find the difference of both numbers: 0.15
Since it has to be greater, any number larger than 0.15 will work.
atroni [7]4 years ago
3 0
U would need 0.25  yeah this is corect
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3 0
3 years ago
In five minutes, you observe that the angle of elevation of a hot air balloon, climbing vertically, changes from 25° to 60°. If
Anna71 [15]

Answer:

379.72 meters

Step-by-step explanation:

At first, the balloon was 300 m away at 25°, so its height can be determined as:

H_{1} = 300*tg(25)\\H_{1} = 139.89 m

After 5 minutes, the balloon was at 60°, so its height can be determined as:

H_{2} = 300*tg(60)\\H_{1} = 519.61 m

To find the distance traveled by the balloon during that period, simply subtract the second height by the first one:

d= H_{2} -H_{1} \\D= 519.61 - 139.89 \\D=379.72

The balloon traveled 379.72 meters in that time.

5 0
3 years ago
I need help answering questions like this can someone help
Leviafan [203]

Answer:

300 in.³

Step-by-step explanation:

We find the volume of 1 prism and multiply it by 2.

V = BH

where V = volume of prism, B = area of the base of the prism, H = height of the prism

V = ½bh × H

V = ½(5 in.)(6 in.) × 10 in.

V = 150 in.³

That is the volume of one triangular prism. Now we multiply it by 2.

volume = 2 × 150 in.³ = 300 in.³

4 0
3 years ago
Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and
zhannawk [14.2K]

Answer:

There's no direct variation

Step-by-step explanation:

Required

Determine if there's a direct variation between the number and its position

I'll start by giving an illustration of how the triangle is represented using stars (*)

*

**

***

****

*****

Represent the line number with y and it's position with x

On line 1:

y = 1, x = 1

On line 2:

y = 2, x = 3

On line 3:

y = 3, x = 6

On line 4:

y = 4, x = 10

On line 5:

y = 5, x = 15

Note that, x is gotten by calculating the accumulated number of stars while y is the line number.

Direct variation is represented by

y = kx

Or

kx = y

Where k is the constant of variation

For line 1:

Substitute 1 for y and 1 for x

k * 1 = 1

k = 1

For line 2:

Substitute 2 for y and 3 for x

k * 3 = 2

Divide through by 3

k = ⅔

Note that the values of k in both computations differ.

This implies that there's no direct variation and there's no need to check further.

3 0
3 years ago
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