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Effectus [21]
3 years ago
5

Solve for Theta in the interval...

Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer:

 θ=0,π/3,π,5π/3,2π

Step-by-step explanation:

cosθ sinθ-1/2 sinθ=0

sinθ(cos θ-1/2)=0

Either sin θ=0

θ=0,π,2π

or

cosθ-1/2=0

cos θ=1/2=cos π/3,cos(2π-π/3)

θ=π/3,5π/3

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Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to
MariettaO [177]

Answer:

A. $2,000

Step-by-step explanation:

<em>Assuming that the money in the savings account will be used to pay off for tractor.</em>

<em>let the number of months be m</em>

Savings after m months will be 500+ 150m

After m months the installments paid  will 200m

To find the months it will take to pay for the tractor in m months, savings and the installments will be the price of the tractor. As an equation it be represented as below:

500+150m +200m = 4000

150m + 200m = 4000-500  <em>(grouping like terms)</em>

350m = 3500  <em>(Making m the subject of the formula)</em>

350m/350  = 3500/350

m = 10

Substituting m into the equation of saving after m months

<em>Savings after m months will be</em> 500+ 150m

<em>Savings after m months will be</em> 500 + 150(10)

<em>Savings after m months will be</em> 500 + 1500

Savings after m months will be $2000

7 0
4 years ago
Read 2 more answers
Solve the system of linear equations given below.
charle [14.2K]

Answer: C

Steps:  4x + y = -4,    x + y = 2

Isolate the x for (x + y = 2):       x = 2 - y

Plug the value of x into the other equation:   4(2 - y) + y = -4

Simplify: -4y + 8 + y = -4

Combine like variables (letters): -4y + y = -3y

So -3y + 8  = -4

Subtract eight from both sides: -3y + 8 - 8 = -4 - 8

-3y = -12

Divide both sides by negative three: -3y ÷ -3  =  -12 ÷ -3

Simplify: y = 4

Plug the value of y into one of the original equations (I'll use  x + y = 2):  

So x + 4 = 2

Isolate the x variable: x = -2

8 0
3 years ago
There are (3^2)4 ⋅ 3^0bacteria in a petri dish. What is the total number of bacteria in the dish?
Rufina [12.5K]

Answer 36

Do the parentheses first (3^2)=9

(9)4•1

The 1 is because 3^0 is just 1

9•4 is 36 and 36•1 is 36.

3 0
3 years ago
What is the linear equation for slope= 5 (4,7)
Burka [1]

Answer:

23.5

Step-by-step explanation:

8 0
3 years ago
HELP WORTH 15 POINTS
Dafna1 [17]

Answer:

The total surface area is 140.4

Step-by-step explanation:

If we start with the larger surfaces on the top and bottom, we can find both of their surfaces by multiplying 4 by 6.5.

4*6.5=26. Since there are 2 of these surfaces, we can multiply 26 by 2 to get 52.

Then, we can find the surface area of the sides by multiplying 6.5 by 3.4.

6.5*3.4=22.1 Since there are four of these surfaces, we can multiply 22.1 by 4 to get 88.4.

Now, all we have to do is add them together.

52+88.4=140.4

The total surface area is 140.4

Hope this helps! :D

8 0
3 years ago
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