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bonufazy [111]
3 years ago
5

Cos t(sec t - cos t) simplify the expression

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0
Remember:
sec t=1/cos t
sin²t+cos²t=1            ⇒sin²t=1-cos² t

Therefore: 
cos t(sec t- cost)=(cos t* sec t)- cos² t=(cos t * 1/cos t)-cos² t=1-cos²t=sin² t

Answer: cos t(sec t-cos t)=sin² t

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Put them in order then find the median and if there are two or more divided by how many are in the middle
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3 years ago
Juanita usually spends $3 more than twice her transportation costs on groceries. if x is the amount she spends on transportation
ruslelena [56]
<h3>Answer: It's a linear equation.</h3><h3>It's not a proportional relationship.</h3><h3>Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

Step-by-step explanation: Given equation y=2x+3.

Where x is the amount she spends on transportation, and y is the amount she spends on groceries.

<em>We can see that given equation is in slope-intercept form y=mx+b.</em>

So, it's a linear equation and y=2x+3 is the relationship between x and y linear.

<em>Also, a linear linear equation represents a proportion relationship if y-intercept is 0.</em>

But for the given equation y=2x+3, y-intercept is 3.

Therefore, it's not a proportional relationship.

Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.

Therefore,

y = 2(30) +3 = 60+3 = 63.

<h3>So, Juanita spend $63 on groceries if she spent $30 on transportation.</h3>
7 0
3 years ago
Solve 3(x+1)=7(x-2)-3
tia_tia [17]

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x = 5

Step-by-step explanation:

To solve this, we just have to the multiplication and do the simplification (adding up the similar terms) afterwards:

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3x + 3 = 7x - 14 - 3

3x + 3 = 7x -17

Then we move all x's on one side and all plain numbers on the other side, we'll move the x's to the right since there's a bigger value there, and will move the plain numbers on the left side, by subtracting 3x and by adding 17 on both sides

3x + 3 - 3x + 17 = 7x -17 + 17 - 3x

20 = 4x

If we isolate x alone we have:

20/4 = x or x = 5

7 0
3 years ago
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deff fn [24]

Answer:

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Step-by-step explanation:

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With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

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h = 1.732050808

6 0
3 years ago
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Please help this is due in 10 minutes!!!!!!
Sergio039 [100]

Answer:

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