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jeka57 [31]
3 years ago
8

Find the missing side. Round to the nearest tenth. Х 28° X 9 x = [?]

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

Step-by-step explanation:

<em>Note that all arguments of trig functions are in degrees.</em>

sin(28)=9/x -> x=9/sin(28)

From here just plug this into your calculator

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Find the function value. tan495°
inysia [295]

Answer: -1

Step-by-step explanation:

You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°

Tangent is equal to \frac{sin(theta)}{cos(theta)}, we already solved theta which was 135°

This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

sin135=\frac{\sqrt{2} }{2}

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

cos135=-\frac{\sqrt{2} }{2}

The final step is to divide them. They are both fractions so you should multiply by the reciprocal.

\frac{\sqrt{2} }{2} *-\frac{2}{\sqrt{2} } =-\frac{2\sqrt{2} }{2\sqrt{2} } =-1

7 0
4 years ago
Read 2 more answers
Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m= 1/2?
Taya2010 [7]

Incomplete Question the complete Qs is

Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?  

a: y=1/2x+2

b: y=-2x+1/2

c: x-2y=-4

d: y-1=1/2(x+2)

Answer:

The Correct option is c. x-2y=-4

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

Step-by-step explanation:

Given:

Slope = m =\dfrac{1}{2}

point A(x₁, y₁)=(-2,1)  

To Find:  

Equation of Line  =?  

Solution:  

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2 , 1) we get

(y-1)=\dfrac{1}{2}(x-(-2))\\\\2y-2=x+2\\x-2y=-2-2=-4\\x-2y=-4 As required

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

6 0
3 years ago
How many solutions does this system have? y=3/4x-5 -3x+4y=-20?
lisov135 [29]

Answer:

infinite

Step-by-step explanation:

If you multiply all factors in the secon eqation by 4, you will get the first eqation.

Therefore for any value of x you can find y, thus having an infinite number of x,y pairs

8 0
3 years ago
Dog's video shop rent games for 3 games for $9.99. What is
forsale [732]

Answer:$43.29

Step-by-step explanation:

3 0
3 years ago
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Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake she sells. Sandy wants to sell at least 5
Assoli18 [71]

Answer:

two possible combinations are

- 7 cups of lemonade and 11 cupcakes

- 10 cups of lemonade and 5 cupcakes

Step-by-step explanation:

5 0
3 years ago
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