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CaHeK987 [17]
2 years ago
7

In the diagram below, tan e = 3. What is the value of m?

Mathematics
2 answers:
pychu [463]2 years ago
8 0
I would recommend asking a tutor
pantera1 [17]2 years ago
6 0
<h3>Answer:  sqrt(3)/2</h3>

Only the 3 is inside the square root.

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

Explanation:

Tangent is the ratio of opposite over adjacent.

We can express tan(theta) as y/x because of this. The point (1/2, m) shows that x = 1/2 and y = m.

So,

tan(theta) = y/x = m/(1/2) = 2m

If we're told that tan(theta) = sqrt(3), then we need to solve the equation below for m

2m = sqrt(3)

m = sqrt(3)/2

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the function f(x) is g(x)=-3(x+2)^2 after a translation 3 units up and 1 unit right write f(x) in vertex and in standard form
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3 years ago
Solve this equation. <br> Leave the answer as an improper fraction. <br> 3x^2 + 2 = 11 - x^2
Nikolay [14]

Answer:

x = \frac{3}{2}orx=-\frac{3}{2}

Step-by-step explanation:

The given Equation is

3x^{2} + 2 = 11-x^{2}   .................(i)

Adding ( x^{2} -11 ) on both sides of  (i)

3x^{2}+2+x^{2}-11 = 11-x^{2}+x^{2}-11

solving and cancelling out the terms will give

⇒ 4x^{2} -9=0  

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Now we Know that

(a)^{2} -(b)^{2} = (a-b)(a+b)  

Applying this on equation (ii)

(2x-3)(2x+3)=0

This will lead us to

Either 2x-3 =0    .......(iii)        or     2x+3=0   ..........(iv)

Solving equation (iii) for value of x

2x - 3 =0

adding 3 on both sides

2x -3 +3 = 0+ 3

2x = 3

Cross multiplying gives

x=\frac{3}{2}

Solving equation (iv) for value of x

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adding -3 on both sides

2x -3 +3 = 0- 3

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7 0
3 years ago
1. 4/5 - (-3/10)=
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Answer:

Step-by-step explanation:

4/5-(-3/10)=4/5+3/10=8/10+3/10=11/10

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-5-5/3=-15/3-5/3=-20/3

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8 0
3 years ago
Read 2 more answers
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