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arlik [135]
3 years ago
15

Rui is a professional deep water free diver.

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer:

10 took khan

Step-by-step explanation:

Arada [10]3 years ago
5 0

Answer:

Rui will reach his lowest altitude after diving for 10 seconds

Step-by-step explanation:

In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where

  • h = \frac{-b}{2a} and k = y at x = h

In the given question

∵ d(x) = \frac{1}{2} x² - 10 x

∵ d represents his altitude in meters after x seconds

→ Compare it with the form above to find a and b

∴ a =  \frac{1}{2} and b = -10

∵ h = \frac{-b}{2a}

→ Substitute the values of a and b in the rule to find h

∴ h = \frac{--10}{2.\frac{1}{2}} = 10

∴ h = 10

∵ h is the x-coordinate of the lowest point

∴ The time of the lowest altitude is 10 seconds

∴ Rui will reach his lowest altitude after diving for 10 seconds

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UNO [17]

Based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

<h3>The SSS Similarity Theorem</h3>

Two triangles having three pairs of sides that are proportional can be proven to be similar by the SSS similarity theorem.

If the triangle ABC and triangle PQR are similar, their corresponding sides will be proportional, meaning that: AB/PQ = BC/QR = CA/RP.

Therefore, using the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, the sides of each triangle is found.

Therefore, it shows that:

AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5

Therefore, based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

Learn more about the SSS similarity theorem on:

brainly.com/question/4163594

7 0
3 years ago
700 is 35% of what number??
harina [27]

Answer:

245

Step-by-step explanation:

35                    x

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100               700

then you cross multipy and you get

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------------------

100

cross out the zeros

and get 245

8 0
3 years ago
Mr. Crosby's is driving jack, cassidy, and victor to the library. Jake lives 1/4 miles from the library, cassidy lives 1)3 mile
irakobra [83]

Answer:

5/8, 1/3, 1/4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following i
lubasha [3.4K]
<span>The sum of two numbers is 48.
a + b = 48
;
If one third of one number is 5 greater than one sixth of another number,
a = b + 5
multiply both sides by 6, cancel the fractions
2a = b + 30
2a - b = 30
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a + b = 48
2a - b =30
-------------Addition eliminates b, find a
3a = 78
a = 
a = 26
then
26 + b = 48
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b = 22</span>
5 0
3 years ago
Credo collects state quarters. He has 42 out of 50 available quarters. What 42 out of 50. What is 42 out of 50 as a percent
Aleks04 [339]

Answer:

The answer is 84%

Step-by-step explanation:

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By multiplying the numerator and denominator by 2, you get 84/100


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3 0
3 years ago
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