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erik [133]
2 years ago
10

Help me super duper dumb

Mathematics
2 answers:
MakcuM [25]2 years ago
8 0
I believer the answer is B!
igomit [66]2 years ago
8 0
I believe the answer is b
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Hey can you please help me posted picture of question
Elan Coil [88]
The correct answer is A.

Horizontal shift is obtained by addition/subtraction a number to every occurrence of x in the equation. Addition indicates a shift towards left and subtraction indicates a shift towards right.

So the correct answer is Subtract that number From.
4 0
3 years ago
For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va
Black_prince [1.1K]

Answer:

3 solutions:

\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is tan(\frac{\theta}{2}) so let's focus on that part of the equation first.

We know that:

tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}

therefore:

cos(\frac{\theta}{2})\neq0

so we need to find the angles that will make the cos function equal to zero. So we get:

cos(\frac{\theta}{2})=0

\frac{\theta}{2}=cos^{-1}(0)

\frac{\theta}{2}=\frac{\pi}{2}+\pi n

or

\theta=\pi+2\pi n

we can now start plugging values in for n:

\theta=\pi+2\pi (0)=\pi

if we plugged any value greater than 0, we would end up with an angle that is greater than 2\pi so,  that's the only angle we cannot include in our answer set, so:

\theta\neq \pi

having said this, we can now start solving the equation:

tan(\frac{\theta}{2})=sin(\theta)

we can start solving this equation by using the half angle formula, such a formula tells us the following:

tan(\frac{\theta}{2})=\frac{1-cos(\theta)}{sin(\theta)}

so we can substitute it into our equation:

\frac{1-cos(\theta)}{sin(\theta)}=sin(\theta)

we can now multiply both sides of the equation by sin(\theta)

so we get:

1-cos(\theta)=sin^{2}(\theta)

we can use the pythagorean identity to rewrite sin^{2}(\theta) in terms of cos:

sin^{2}(\theta)=1-cos^{2}(\theta)

so we get:

1-cos(\theta)=1-cos^{2}(\theta)

we can subtract a 1 from both sides of the equation so we end up with:

-cos(\theta)=-cos^{2}(\theta)

and we can now add cos^{2}(\theta)

to both sides of the equation so we get:

cos^{2}(\theta)-cos(\theta)=0

and we can solve this equation by factoring. We can factor cos(\theta) to get:

cos(\theta)(cos(\theta)-1)=0

and we can use the zero product property to solve this, so we get two equations:

Equation 1:

cos(\theta)=0

\theta=cos^{-1}(0)

\theta={\frac{\pi}{2}, \frac{3\pi}{2}}

Equation 2:

cos(\theta)-1=0

we add a 1 to both sides of the equation so we get:

cos(\theta)=1

\theta=cos^{-1}(1)

\theta=0

so we end up with three answers to this equation:

\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}

7 0
2 years ago
joe earns R25 per hour working at a pizza shop. How much will he earn over a weekend of two shifts, each six hours long​
NeX [460]

Answer:

R300

Step-by-step explanation:

<u>To solve:</u>

  • Multiply 25 by 6 to represent the earnings of a shift.
  • Multiply the shift earnings by 2 to represent how much he earned over the weekend.

<u>Multiply</u><u> </u><u>25 by 6:</u>

25 \times 6 = 150

<u>Multiply 150 by 2:</u>

<u>150 \times 2 = 300</u>

Joe will earn R300 over the weekend,

6 0
2 years ago
What is the quotient? 2 1/5/1-/10​
Mariana [72]

the answer is -0.22

5 0
2 years ago
Read 2 more answers
Help me please I need help :((((((
serg [7]
Flour: 2 3/4 cups = 11/4

11/4 * 2 = 22/4 = 5 2/4 cups

Sugar: 1 1/2 cups = 3/2

3/2 = 6/4 = 1 2/4 cups

1 2/4 * 2 = 3 cups

So it *should* be 8 1/2 cups.


3 0
2 years ago
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