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Vilka [71]
3 years ago
12

Identify the system of equations that is satisfied by the given ordered pair.

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Answer:

the answer is B

Step-by-step explanation:

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Find cotθ, cosθ, and secθ, where θ is the angle shown in the figure.
Darina [25.2K]

Answer:

\cos( \theta)  =  \frac{5}{8}  \\  {8}^{2}  =  {5}^{2}  +  {opp}^{2}  \\ {opp}^{2}  = 64 - 25 = 39 \\ opp =  \sqrt{39}  \\  \sin(\theta)  =  \frac{\sqrt{39}}{8}  \\  \tan(\theta)  =  \frac{ \sqrt{39} }{5}  \\  \cot(\theta)  =  \frac{1}{\tan(\theta)}  =  \frac{1}{\frac{ \sqrt{39} }{5}}  \\ \cot(\theta)  =  \frac{5}{ \sqrt{39} }  \\  \csc( \theta) =  \frac{1}{\sin(\theta)}  =  \frac{1}{\frac{\sqrt{39}}{8}}   \\ \csc( \theta) = \frac{8}{ \sqrt{39} }  \\  \sec( \theta) =  \frac{1}{\cos( \theta) }  =  \frac{1}{ \frac{5}{8} }  \\ \sec( \theta) =  \frac{8}{5}

5 0
2 years ago
The senior class at Northwest High School needed to raise money for the yearbook. A local sporting goods store donated hats and
GarryVolchara [31]

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13,23

Step-by-step explanation:

8 0
3 years ago
Write a expression that is equivalent of 4+3(5+x)
stepladder [879]

Answer: 19 + 3x

Step-by-step explanation:

Given : 4 + 3(5+x)

expanding , we have

4 + 15 + 3x

= 19 + 3x

Therefore :

4 + 3 ( 5 + x ) = 19 + 3x

3 0
3 years ago
What are the x and y-intercepts of the line described by the equation?
KiRa [710]

Answer:

x-int (6.2, 0)

y-int (0, 3.1)

Step-by-step explanation:

x-intercept is found when y = 0.

y-intercept is found when x = 0.

Step 1: Define equation

2x + 4y = 12.4

Step 2: Find x-intercept

<em>Substitute y for 0.</em>

2x + 4(0) = 12.4

2x = 12.4

x = 6.2

(6.2, 0)

Step 3: Find y-intercept

<em>Substitute x for 0.</em>

2(0) + 4y = 12.4

4y = 12.4

y = 3.1

(0, 3.1)

6 0
3 years ago
Solve the inqualities 3x-3&lt;9
pentagon [3]

Answer: x < 4

Step-by-step explanation: When solving the inequality 3x - 3 < 9, just like an equation our first step is to isolate the <em>x</em> term which is 3x by adding 3 to both sides of the inequality.

On the left, -3 + 3 cancels and we have 3x.

Make sure to bring down the < sign.

On the right, 9 + 3 simplifies to 12.

So we have 3x < 12.

Now, divide both sides of the inequality by 3 to isolate <em>x</em>.

When we do that we get <em>x < 4</em>

So our answer is x < 4.

8 0
3 years ago
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