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EastWind [94]
3 years ago
10

For an angle Θ with the point (12, −5) on its terminating side, what is the value of cosine?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0
Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13

Answer is option . D
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Brian is traveling at a rate of 72.0 meters/second. What speed would he be traveling in miles/hour?
Korvikt [17]

Answer:

we know that, 1miles/hour = 0.45m/s

or, 1meters/second = 1/0.45

1m/s = 2.22222222222

Step-by-step explanation:

Then,

72.0 meters/second = 72.0*2.22222222222

                                  =160 miles per hour.

7 0
3 years ago
.<br> Evaluate ƒ(x) = 3x + 8 for x = 1.<br><br><br> 3<br><br><br> 5<br><br><br> 11<br><br><br> –11
rodikova [14]

Answer:

11

Step-by-step explanation:

Replace the variable xx with −1-1 in the expression.

f(−1)=−3⋅−1+8f(-1)=-3⋅-1+8

Simplify the result.

Tap for fewer steps...

Multiply −3-3 by −1-1.

f(−1)=3+8f(-1)=3+8

Add 33 and 88.

f(−1)=11f(-1)=11

The final answer is 1111.

=11

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8 0
2 years ago
Ten increased by 6 times a number is the same as 4 less than 4 times the number
Gelneren [198K]
Express into algebraic form
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3 years ago
A long solenoid with radius r = 7 cm and n = 3,170 turns/m carries a current i = 6. 7 a. What is the magnitude of the magnetic f
kondaur [170]

The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

<h3>Magnetic field inside solenoid</h3>

The magnetic field inside the central area of the solenoid is given by B = μ₀ni where

  • μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A,
  • n = number of turns per unit length = 3,170 turns/m and
  • i = current in solenoid = 6.7 A

Since B = μ₀ni

Substituting the values of the variables into the equation, we have

B = μ₀ni

B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A

B = 4π × 10⁻⁷ Tm/A × 21239 A-turns/m

B = 84956π × 10⁻⁷ T

B = 266897.15 × 10⁻⁷ T

B = 0.026689715 T

B ≅ 0.0267 T

So, the magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

Learn more about magnetic field inside a solenoid here:

brainly.com/question/25562052

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Kelly practiced her flute for 30 minutes a day for 9 days. How many total minutes did she practice?
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