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Hunter-Best [27]
3 years ago
9

3. A jogger runs 4 miles on Monday, 5 miles on

Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

17 miles

Step-by-step explanation:

4+5+5+3=17

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8. diameter = 4 cm, height = 3.6 cm<br> T2
gayaneshka [121]

I don't know the answer because i don't know the question

if you can simplify the question

5 0
3 years ago
Let f(x) be a polynomial such that f(cos θ) = cos(4) θ for all θ. Find f(x). (This is essentially the same as finding cos(4) θ i
Galina-37 [17]

Answer:

f(x) = 8x⁴-8x²+1

Step-by-step explanation:

I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties

  • cos(2a) = cos²(a) - sin²(b)
  • sin(2a) = 2sin(a)cos(a)
  • sin²(a) = 1-cos²(a)

cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1

Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result

f(x) = 8x⁴-8x²+1.

5 0
3 years ago
A cone-shaped water tank is completely filled. The tank has a depth of 12 feet and a radius of 29 feet. A pump removes water fro
Sauron [17]

Answer:

Volume = 10562.96  cu ft

10.56 hr. to drain all the water

Step-by-step explanation:

V = 1/3Bh        B = area of the base           h = height

The base is a circle, so B = \pi r^{2}

V = \frac{1}{3} (3.14) (29^{2})(12) = 10562.96  cu ft

10562.96/1000  = 10.56 hr.

7 0
3 years ago
Need help ASAP trigonometry
Morgarella [4.7K]

Answer: 11: tan Z = 7/24. tan X = 24/7

12: 23.1324 round to whatever

13: 14.5409 feet

Step-by-step explanation:

Dude trust me

5 0
3 years ago
Evaluate x + sq root(yz) when x = 3, y = 2, and z = –8.
Alex_Xolod [135]
Just remember  \sqrt{-1} = i

Sub in the numbers:
3 + \sqrt{-16} = 3+  \sqrt{16}\sqrt{-1} = 3 + 4i
7 0
4 years ago
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