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Andreas93 [3]
3 years ago
6

Evaluate 2 tan 45 - tan 60​

Mathematics
1 answer:
Neko [114]3 years ago
4 0

Answer:

2-\sqrt{3} \\

Step-by-step explanation:

2-\sqrt{3} \\

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"Find the point at which the line touches the circle" I really need help no one helped last time...
Troyanec [42]
The solution for a system of equations will be when the graphs touch each other, or intersect, and that happens when both equations equate each other, so, let's do so,

\bf \begin{cases}
\boxed{y}=3x+10\\
-------\\
x^2+y^2=10\\
y^2=10-x^2\\
y=\sqrt{10-x^2}
\end{cases}\qquad \qquad \boxed{3x+10}=\sqrt{10-x^2}
\\\\\\
\textit{now we square both sides}\qquad (3x+10)^2=(\sqrt{10-x^2})^2
\\\\\\
(3x+10)^2=10-x^2\implies 9x^2+60x+100=10-x^2
\\\\\\
10x^2+60x-90=0\implies x^2+6x-9=0\implies (x+3)(x+3)=0
\\\\\\
x=
\begin{cases}
-3\\
-3
\end{cases}\qquad thus\qquad \boxed{x=-3}

\bf -------------------------------\\\\
\textit{now, when x = -3, what is \underline{y}?}\qquad y=3x+10\implies y=3(-3)+10
\\\\\\
y=-9+10\implies \boxed{y=1}\qquad \qquad therefore\qquad (\stackrel{x}{-3}~,~\stackrel{y}{1})
6 0
3 years ago
There are 1,200 students at roosevelt middle school. There are 700 boys at the school. What percentage of the students at roosev
Scilla [17]

Answer:

x=175/3

Step-by-step explanation:

700/1200=x/100

Simplify to 7/12

7/12=x/100

Multiply both sides by 100

7/12×100=x

Simplify 7/12 ×100 to 700/12

700/12=x

Simplify 700/12 to 175/3

175/3=x

Switch Sides x=175/3

hope that helps you


7 0
3 years ago
A satellite is 6,000 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate distance the sat
bonufazy [111]

Answer:

I believe it’s 2,000 miles because you subtract I think

Step-by-step explanation:

4 0
3 years ago
Charles decided that his old car could not make a 1200 mile trip; it might break down. Rather than take a chance on a big repair
evablogger [386]

Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

In this problem, the total cost is composed by:

  • The rental fee of $99.
  • The gasoline cost, of $3.85 per gallon, considering that 1200/30 = 40 gallons were used.

Hence, the total cost is given by:

C = $3.85 x 40 + $99 = $253.

More can be learned about proportions at brainly.com/question/24372153

5 0
2 years ago
The cost of packing a box of chocolates is given by 1/4x^2, where x is the number of chocolates (a box can never have fewer than
77julia77 [94]

The cost of packaging the box of chocolates per weight unit is;  ¹/₄x²/(x + 2)

<h3></h3><h3>How to Solve Algebra problems?</h3>

We are given the cost of packing the box as;

C(x) = ¹/₄x²

where;

x is the number of chocolates

We are told that a box can never have fewer than 3 chocolates.

Now, the weight of a box of chocolates is given by; W(x) = x + 2

Thus, cost per unit weight is;

C(x)/W(x) = ¹/₄x²/(x + 2)

Read more about Algebra Problems at; brainly.com/question/723406

#SPJ1

7 0
2 years ago
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