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Bond [772]
3 years ago
10

Find the missing side of the triangle

Mathematics
1 answer:
Leona [35]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Using Pythagoras theorem, we have

x^2+11^2=15^2, x^2=104, x=2*sqrt(26)

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If nick did 112 push-ups in 2 weeks, how many push-ups would nick do in 18 days?
kap26 [50]

Answer:

144 push-ups

Step-by-step explanation:

hii

assuming they did the same amount of pushups every day:

112 pushups in 14 days

112p : 14d

xp : 18d

14 ÷ 7 =2

2 × 9 = 18

do the same do the pushups ( ÷7 and ×9)

112 ÷ 7 = 16

16 ×9 = 144

should be 144 pushups

hope this helps :)

3 0
2 years ago
Read 2 more answers
What are ratios and rate?
lana66690 [7]
Search it up on google

Hope this helps
4 0
3 years ago
Please help im new and i need help!<br> Please help me if you onlw the answers please!!
kirza4 [7]

9514 1404 393

Answer:

  a) 2.038 seconds

  b) 5.918 meters

  c) 1.076 seconds

Step-by-step explanation:

For the purpose of answering these questions, it is convenient to put the given equation into vertex form.

  h = -4.9t² +9.2t +1.6

  = -4.9(t² -(9.2/4.9)t) +1.6

  = -4.9(t² -(9.2/4.9)t +(4.6/4.9)²) +1.6 +4.9(4.6/4.9)²

  = -4.9(t -46/49)² +290/49

__

a) To find h = 0, we solve ...

  0 = -4.9(t -46/49)² +290/49

  290/240.1 = (t -46/49)² . . . . subtract 290/49 and divide by -4.9

  √(2900/2401) +46/49 = t ≈ 2.0378 . . . . seconds

The ball takes about 2.038 seconds to fall to the ground.

__

b) The maximum height is the h value at the vertex of the function. It is the value of h when the squared term is zero:

  290/49 m ≈ 5.918 m

The maximum height of the ball is about 5.918 m.

__

c) We want to find t for h ≥ 4.5.

  h ≥ 4.5

  -4.9(t -46/49)² +290/49 ≥ 4.5

Subtracting 290/49 and dividing by -4.9, we have ...

  (t -46/49)² ≥ 695/2401

Taking the square root, and adding 46/49, we find the time interval to be ...

  -√(695/2401) +46/49 ≤ t ≤ √(695/2401) +46/49

The difference between the interval end points is the time above 4.5 meters. That difference is ...

  2√(695/2401) ≈ 1.076 . . . . seconds

The ball is at or above 4.5 meters for about 1.076 seconds.

__

I like a graphing calculator for its ability to answer these questions quickly and easily. The essentials for answering this question involve typing a couple of equations and highlighting a few points on the graph.

_____

<em>Additional comment</em>

I have a preference for "exact" answers where possible, so have used fractions, rather than their rounded decimal equivalents. The calculator I use deals with these fairly nicely. Unfortunately, the mess of numbers can tend to obscure the working.

"Vertex form" for a quadratic is ...

  y = a(x -h)² +k . . . .  where the vertex is (h, k) and 'a' is a vertical scale factor.

In the above, we have 'a' = -4.9, and (h, k) = (46/49, 290/49) ≈ (0.939, 5.918)

4 0
3 years ago
30/75 = x/100. What is the unknown quantity? Restate and answer the question.
kvasek [131]

30 *100 = 3000

3000 / 75 = 40

x = 40

8 0
3 years ago
Can somebody plz help answer these questions correctly (only if u know how to do this) thanks :D!
nignag [31]
14. Range=22 Mean= 31.2
15. Range=33 Mean= 88.2
16. Range= 81 Mean= 161.3
To find range you take the smallest number and the largest number and subtract them. To find mean you add all of the totals together and then divide by how many numbers are given.
4 0
3 years ago
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