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3 years ago

Someone please help me, this is dealing with the pythagorean theorem

Mathematics

1 answer:

Stella [2.4K]3 years ago

4 0

14. x ^2 = 12^2 + 7 ^2 = x = sqrt (12^2 + 7^2) = sqrt(193)

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A single die is rolled twice. Find the probability of rolling an

Nady [450]

Answer: 1/6

Step-by-step explanation:

A die has 6 numbers which are 1, 2, 3, 4, 5 and 6.

Odd numbers in a die = 1, 3 and 6

Numbers greater than 4 = 5 and 6

Probability of rolling an odd number = 3/6 = 1/2

Probability of rolling a number greater than 4 = 2/6 = 1/3

We then multiply both values gotten. This will be:

= 1/2 × 1/3

= 1/6

Therefore, the probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6.

6 0

3 years ago

A theatre has 15 seats in the first row, 20 seats in the second row, 25 seats in the third row, and so on. Write the linear equa

viktelen [127]

Answer: The answer is (n = 5r + 10).

Step-by-step explanation: Given that in a theatre, there are 15 seats in the first row, 20 seats in the second row, 25 seats in the third row, etc.

We are to write the linear equation that represents the number of seats 'n' in each row 'r'.

Now,

Number of seats in the 1st row = 15 = 5 × 3 = 5 × (1+2),

number of seats in the 2nd row = 20 = 5 × 4 = 5 × (2+2),

number of seats in the 3rd row = 25 = 5 × 5 = 5 × (3+2), etc...

Therefore, number of seats 'n' in the r-th row is given by the following linear equation -

n = 5 × (r+2), i.e., n = 5r + 10.

Thus, the required linear equation is n = 5r + 10.

7 0

3 years ago

Solve. 0 = × squared +3

Marta_Voda [28]

Answer:

± sqrt(3)i = x

Step-by-step explanation:

0 = x^2 +3

Subtract 3 from each side

-3 =x^2 +3-3

-3 =x^2

Take the square root of each side

±sqrt(-3) = sqrt(x^2)

±sqrt(-3) = x

We can split sqrt(-3) into sqrt(3) sqrt(-1) and we know that the sqrt(-1) is i

± sqrt(3)sqrt(-1) = x

± sqrt(3)i = x

3 0

3 years ago

5p−3p+9+p+3? pls im failingg

Triss [41]

Answer:

3p + 12

Step-by-step explanation:

5p -3p + 9 + p + 3

Move around the parts of the equation

5p -3p + p + 9 + 3

Add positive 9 to positive 3

5p -3p + p + 12

Add positive p to negative 3p

5p -2p + 12

Combine positive 5p and negative 2p together

3p + 12

I Hope That This Helps! :)

7 0

3 years ago

Rui is a professional deep water free diver.

Arada [10]

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

5 0

3 years ago

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