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natita [175]
3 years ago
13

Find the orthocenter of ABC

Mathematics
1 answer:
Tresset [83]3 years ago
5 0
(6,4)
This website helps 
https://www.mathportal.org/calculators/analytic-geometry/triangle-calculator.php
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Find sin(2x), cos(2x) and tan (2x) from the given information. cot(x)=2/3, x in quadrant I
Usimov [2.4K]

Answer:

1.) 6√13/13

2.) 4√13/13

3.) 3

Step-by-step explanation:

given that cot(x) = 2/3

But cot(x) = 1/tan(x)

Substitutes 1/tan(x) for cot(x)

1/tan(x) = 2/3

Reciprocate both sides

Tan(x) = 3/2 = opposite/adjacent

Use pythagorean theorem to find the hypothenus.

Hypothenus = sqrt ( 3^2 + 2^2 )

Hypothenus = sqrt ( 9 + 4 )

Hypothenus = sqrt (13)

Hypothenus = √13

1.) Sin(x) = opposite/hypothenus = 3/√13

Rationalise

3/√13 × √13/√13

3√13/13

Sin(2x) = 2 × 3√13/13

Sin(2x) = 6√13/13

2.) Cos( x ) = adjacent/hypothenus

Cos (x) = 2/√13

Rationalise

2/√13 × √13 /√13

2√13/13

Cos(2x) = 2 × 2√13/13

Cos(2x) = 4√13/13

3.) Tan (x) = 3/2

tan (2x) = 2 × 3/2

Tan(2x) = 3

4 0
3 years ago
Joel sells ice cream cones at the country fair. he has to rent the equipment for $36 and spend $0.52 on ingredients for each con
svlad2 [7]
$1.4-0.52=$0.88


So, Joel makes $0.88 profits for every sales.


To overcome rent fee, We need $36.

36/0.88= 40.90909....


So, Joel needs to sell at least 41 iceCream on country fair to make profits.


4 0
3 years ago
If f (x) = 2x2 +5/(x-2), complete the following statement:<br> f(6) =
Tems11 [23]

Answer:

6.25

Step-by-step explanation:

Putting 6 in place of x we get the answer

4x + 5 \div (x - 2) \\ 24 + 5 \div 4 \\ 27 \div 4 = 6.25

<em>Hope</em><em> </em><em>it</em><em> </em><em>Helps</em><em> you</em><em>.</em><em>.</em><em>.</em><em>☺</em>

7 0
3 years ago
What does the "y" mean in a slope intercept form equation (y=mx+b)?
slava [35]
"y" means the intercept or the y axis.
7 0
3 years ago
Which expression correctly uses commutative properties to rewrite the expression above?
Anuta_ua [19.1K]
Theirs no picture it’s a black screen
8 0
3 years ago
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