All categories

2 years ago

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

You might be interested in

Find the slope of a line that passes through the points (2,-1) and (4,7)

MrRa [10]

Answer:

if I did it correctly then it is y= 1/4x-9/4

Step-by-step explanation:

5 0

2 years ago

PLEASE SOMEONE HELP ME I WILL GIVE YOU EVERY POINT POSSIBLE

Sidana [21]

Answer:

$log_{b}( {m}^{p} ) = p \: log_{b}(m)$

8 0

3 years ago

a baker starts with 4/10 kilogram. of flour to make bread he adds 3/100 kilogram of flour to his bread mixture how much total fl

Alecsey [184]

43/100 kilograms of flour.

4 0

2 years ago

Read 2 more answers

I NEED HELP FAST what is y+1=5/6(x-2) in standard form?

Irina18 [472]

Answer:

$\large\boxed{5x-6y=16}$

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

We have the equation in the point-slope form. Convert:

$y+1=\dfrac{5}{6}(x-2)\qquad\text{multiply both sides by 6}\\\\6y+6=6\!\!\!\!\diagup^1\cdot\dfrac{5}{6\!\!\!\!\diagup_1}(x-2)\\\\6y+6=5(x-2)\qquad\text{use the distributive property}\\\\6y+6=(5)(x)+(5)(-2)\\\\6y+6=5x-10\qquad\text{subtract 6 from both sides}\\\\6y+6-6=5x-10-6\\\\6y=5x-16\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+6y=5x-5x-16\\\\-5x+6y=-16\qquad\text{change the signs}\\\\\boxed{5x-6y=16}$

6 0

2 years ago

When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is a

Lyrx [107]

Answer:

A) 0

Step-by-step explanation:

When x is divided by 11, we have a quotient of y and a remainder of 3

x/11 = y + 3

x = 11y + 3 ........(1)

When x is divided by 19, we have a remainder of 3 also

x/19 = p + 3 (p = quotient)

x = 19p + 3 ..........(2)

Equate (1) and (2)

x = 11y + 3 = 19p + 3

11y + 3 = 19p + 3

11y = 19p + 3 -3

11y = 19p

Divide both sides by 11

11y/11 = 19p/11

y = 19p/11

y and p are integers. 19 is a prime number. P/11 is also an integer

y = 19(integer)

This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0

8 0

3 years ago