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NeTakaya
2 years ago
10

What are the exact values of x and y? x = y =

Mathematics
1 answer:
Mice21 [21]2 years ago
7 0

Answer:

see the attachment photo!

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Daniel and Hector both throw shot put for their school's track and field team.
tatyana61 [14]

Answer:

Option B : Hector by 3 feet is the correct answer.

Step-by-step explanation:

Given that:

Mean of Daniel = \frac{Sum\ of\ quantities}{Number\ of\ quantities}

Mean of Daniel = \frac{27+30+34+35+34}{5} = \frac{160}{5}

Mean of Daniel = 32 feet

Mean of Hector = \frac{38+24+38+40+35}{5} = \frac{175}{5}

Mean of Hector = 35 feet

Therefore,

Hector has a greater mean

Difference = Hector's Mean - Daniel's Mean

Difference = 35 - 32

Difference = 3 feet

Hence,

Option B : Hector by 3 feet is the correct answer.

3 0
3 years ago
Verify sin4 x- sin2x = cos4x – cos2x is an identity
Andrej [43]

Step-by-step explanation:

sin⁴ x − sin² x

Factor:

(sin² x) (sin² x − 1)

Pythagorean identity:

(1 − cos² x) (-cos² x)

Distribute:

-cos² x + cos⁴ x

cos⁴ x − cos² x

6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
Nadya [2.5K]

Answer: B

<u>Step-by-step explanation:</u>

  x³ - 3x²  + 16x - 48 = 0

→ x²(x - 3)   + 16(x - 3) = 0

→ (x² + 16) (x - 3) = 0

→ (x² - (-16)) (x - 3) = 0

→ (x - 4i)(x + 4i)(x - 3) = 0

→ x - 4i = 0    x + 4i = 0   x - 3 = 0

→  x = 4i          x = -4i        x = 3

2 imaginary roots         and 1 real root

6 0
3 years ago
Perimeter of a triangle is 27cm,if two sides measure 9cm and 7.8cm,find the measure of third side?
fredd [130]

Answer:

10.2cm

Step-by-step explanation:

Perimeter is the sum of the lengths of all sides.

1st side: 9cm

2nd side: 7.8cm

Perimeter: 27cm

Perimeter = 1st + 2nd +3rd side of a triangle

27cm = 9cm +7.8cm + 3rd side

3rd side = 27cm - 9cm -7.8cm

              = 10.2cm

8 0
3 years ago
Dean and his friends went to Aqua World Water Park, where they floated down the Lazy River for 1 2 of an hour. This was 1 4 of t
Kisachek [45]
1/2 of an hour is 30 minutes
That’s 1/4 of the total amount of time they spent in the park
So, 30 minutes x 4 would be 120 minutes or 2 hours which means they spent 2 hours at the water park
3 0
3 years ago
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