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3 years ago

HELP PLS. solve the triangle shown in the figure. LC=90 degrees, BC=7.50mi, AC=11.43mi

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

Answer: C

Step by step:

Use the pythagoras' theorem ( c² = a² + b² ) to find the length of AB.
Use trigonometry to find the 2 missing angles of the triangle.

That's all!

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What is the mid-point of the two co-ordinates (-2,5) and (4,9)

yarga [219]

Answer:

1,7.5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve tan x=sin x giving all possible solutions

ZanzabumX [31]

Answer:

x = 2 π n_1 for n_1 element Z

or x = π n_2 for n_2 element Z

Step-by-step explanation:

Solve for x:

tan(x) = sin(x)

Subtract sin(x) from both sides:

tan(x) - sin(x) = 0

Factor sin(x) from the left hand side:

sin(x) (sec(x) - 1) = 0

Split sin(x) (sec(x) - 1) into separate parts with additional assumptions.

Assume cos(x)!=0 from sec(x):

sec(x) - 1 = 0 or sin(x) = 0 for cos(x)!=0

Add 1 to both sides:

sec(x) = 1 or sin(x) = 0 for cos(x)!=0

Take the reciprocal of both sides:

cos(x) = 1 or sin(x) = 0 for cos(x)!=0

Take the inverse cosine of both sides:

x = 2 π n_1 for n_1 element Z

or sin(x) = 0 for cos(x)!=0

Take the inverse sine of both sides:

x = 2 π n_1 for n_1 element Z

or x = π n_2 for cos(x)!=0 and n_2 element Z

The roots x = π n_2 never violate cos(x)!=0, which means this assumption can be omitted:

Answer: x = 2 π n_1 for n_1 element Z

or x = π n_2 for n_2 element Z

3 0

3 years ago

12 times x plus 3 equals negative 8 x

lesya [120]

Answer:

-3/20

Step-by-step explanation:

12 * x + 3 = -8x

Make sure to use PEMDAS.

12x + 3 = -8x

Add 8x to both sides of the equation.

20x + 3 = 0

Subtract 3 to get 20x alone.

20x = -3

Divide both sides by 20.

x = $\frac{-3}{20}$

6 0

3 years ago

10% of an amount is 6.2 . Wirk out the original account<br>

lesantik [10]

Answer:

the original amount was 62

Step-by-step explanation:

You can use the part over whole formula like this:

$\frac{part}{whole} = ( \frac{6.2}{?} * \frac{10}{100})\\ ? = 62$

why?

because we know that 10% = 10/100, we can easily find out the answer by cross multiplying

? * 10 (let's use x, instead of ?)

=10x

6.2 * 100

= 620

Now we have an equation that looks like this: 10x = 620

By using the inverse operation tool (dividing each side by 10 to isolate x) we have:

x (or ?) = 62

5 0

2 years ago

Find tan A<br><br> Help please

madam [21]

Answer: B.

Using trigonometric ratios, we know that:

tan x = opp/adj

Plug in the values.

tan A = 20/48

The side opposite to angle A is 20, and the adjacent side is 48.

Simplify the fraction.

tan A = 5/12

4 0

3 years ago