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Marina86 [1]
3 years ago
13

What is cos θ if sec θ = 2?

Mathematics
2 answers:
Mars2501 [29]3 years ago
7 0
\bf cos(\theta)=\cfrac{1}{sec(\theta)}\qquad \qquad \boxed{sec(\theta )=2}\implies cos(\theta)=\cfrac{1}{\boxed{2}}
irina1246 [14]3 years ago
4 0

Answer:

the value of cos θ is \frac{1}{2}.

Step-by-step explanation:

Since, cos\theta=\frac{1}{sec\theta}

we are given with sec θ = 2

To find the value of cos θ , we use this fact cos\theta=\frac{1}{sec\theta}

put sec θ = 2 in cos\theta=\frac{1}{sec\theta}

cos\theta=\frac{1}{2}

Therefore, the value of cos θ is \frac{1}{2}.

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Could somebody help me with Geometry? THANKS!!!!!!!!!!!!!!!!!!!!!
Vedmedyk [2.9K]

I'll do problem 1 to get you started.

The answer to problem 1 is <u>3400 miles</u>

============================================================

Explanation for problem 1:

We're asked to find the perimeter, which is the total distance around the exterior or outside. In other words, we need to add up the four side lengths of this quadrilateral.

We'll need the distance formula to find the lengths of the slanted sides AB and BC

----------------------------------------

Let's first find the length of segment AB

A = (x1,y1) = (0,0)

B = (x2,y2) = (400,300)

d = Length of AB

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-400)^2 + (0-300)^2}\\\\d = \sqrt{(-400)^2 + (-300)^2}\\\\d = \sqrt{160000 + 90000}\\\\d = \sqrt{250000}\\\\d = 500\\\\

The distance from A to B is 500 miles. This is the same as saying segment AB is 500 miles long.

----------------------------------------

Now find the length of segment BC

B = (x1,y1) = (400,300)

C = (x2,y2) = (-800,800)

d = length of BC

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(400-(-800))^2 + (300-800)^2}\\\\d = \sqrt{(400+800)^2 + (300-800)^2}\\\\d = \sqrt{(1200)^2 + (-500)^2}\\\\d = \sqrt{1440000 + 250000}\\\\d = \sqrt{1690000}\\\\d = 1300\\\\

----------------------------------------

The length of CD is fairly easy to find without needing the distance formula. This is because it is a vertical line. We subtract the y coordinates of C and D to get 800-0 = 800. So CD is 800 miles long.

Segment DA is a similar story. But we subtract the x coordinates. This only works for horizontal lines. DA is 800 miles long because |-800-0| = 800. Absolute value is used to make sure the distance is never negative.

----------------------------------------

To summarize everything so far, we found these four side lengths

  • AB = 500
  • BC = 1300
  • CD = 800
  • DA = 800

The perimeter is going to be the sum of those four sides, leading to...

perimeter = sum of sides

perimeter = AB+BC+CD+DA

perimeter = 500+1300+800+800

perimeter = 3400 miles

This is the total distance traveled if you started at city A, went to B, then to C, then to D, and then finally went back to A.

5 0
3 years ago
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Add 5 to both sides The Addition Property of Equality
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4 years ago
WILL GIVE BRAINLIEST simplify square root of 2 over 3 square root of 2
Dovator [93]

Answer:

Option A, 2^(1/6)

Step-by-step explanation:

\sqrt{2}<u> is same as 2^(1/2)</u>

<u />\sqrt[3]{2}<u> is same as 2^(1/3)</u>

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Answer:  Option A, 2^(1/6)

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3 years ago
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Help please! I need this question answered!
Pavel [41]

Answer:

1)  f(g(-2))=-3,      2) g(f(0))=5

Step-by-step explanation:

1)f(g(-2))

First, g(-2) means that x=-2. Hence, you must find the value of g(x) in the table when x=-2. You can see that, when x=-2, g(-2) = -3.

Next, you must find f(-3) in the graph, where x=-3. You can see in the graph that, when x=-3, f(-3) = -2.

Therefore, f(g(-2))=-3

2) g(f(0))

In the case, we must apply the inverse procedure. First, check in the graph that, when x=0, f(0) =1.

Next, we must look at the table and see that, when x=1, g(1)=5. Hence,

g(f(0))=5

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Without calculating, is the equation (1.8 times 3) times 2.1 = ( 1.8 times 2.1 ) true or false? Explain your reasoning.
Paladinen [302]
It is true due to the commutative property of multiplication. If all of your operations are multiplication, then the integers can move around and you can still get the same answer. 
^This is only true if you meant to type (1.8x3)x2.1=(1.8x2.1)x3

If you meant what you typed, then the equation is false. The left side would be 3 times the value of the right side due to the 3 being on the left side and not the right side while without the 3 the two sides would be equal.
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