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crimeas [40]
3 years ago
11

How do I solve a trigonometry problem if you only have one side(12) and two angles (54° and 90°)

Mathematics
1 answer:
Len [333]3 years ago
4 0
Hello Jade,

Great, now we can solve this problem. Since we are dealing with an opposite and adjacent angle, with regard to the 54 degree angle, this makes is a tangent ratio. SOH - CAH - TOA

We can set up and solve the following equation.

tan 54 = x/12  Use a calculator or chart to find the tangent of 54
1.37 = x/12     Multiply by 12
16.44 = x

The length of the missing side x is 16.44.

I hope this helps,
MrEQ
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Answer:

The area of a triangle can be found using:

a=1/2 bh

or

a=(bh)/2

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7 0
3 years ago
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Three consecutive even numbers add up to 36. Select all of the following equations that will find the lowest number of the three
Misha Larkins [42]

Equation A find the lowest number of the three. Equation A satisfies the given conditions.

<h3>What is even number? </h3>

If the number is divisible by 2 then the number will be an even number. Similarly, the number is not divisible by 2 then the number will be an odd number.

Assume the three consecutive integers are 2x,2x+2,2x+4

The sum of the three consecutive even numbers are 36;

x+x+2+x+4 = 36

3x+6=36

3x=30

x=10

The three integers are found as;

x =10

x+2 = 10+2 = 12

2x+4 =10+4=14

Hence, equation A find the lowest number of the three. Equation A satisfies the given conditions.

To learn more about the even number, refer to the link;

brainly.com/question/2289438

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5 0
2 years ago
A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of
Marizza181 [45]
The first car went through 32.5 gallons and the second car went through 37.14 gallons of gas.
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3 years ago
Select the correct answer.
EleoNora [17]

Answer:

Option (B)

Step-by-step explanation:

There are two lines on the graph representing the system of equations.

First line passes through two points (-3, 1) and (-2, 3).

Slope of the line = \frac{y_2-y_1}{x_2-x_1}

                           = \frac{3-1}{-2+3}

                       m = 2

Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

y - 1 = 2(x + 3)

y = 2x + 7 ----------(1)

Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = \frac{y_2-y_1}{x_2-x_1}

               = \frac{4-1}{-1-0}

               = -3

Here 'b' = 1

Therefore, equation of the line will be,

y = -3x + 1 ---------(2)

From equation (1) and (2),

2x + 7 = -3x + 1

5x = -6

x = -\frac{6}{5}

x = -1\frac{1}{5}

From equation (1),

y = 2x + 7

y = -\frac{12}{5}+7

  = \frac{-12+35}{5}

  = \frac{23}{5}

  = 4\frac{3}{5}

Therefore, exact solution of the system of equations is (-1\frac{1}{5},4\frac{3}{5}).

Option (B) will be the answer.

5 0
4 years ago
When completely factored, x^2 + x - 6 is equivalent to which of the following? A. (x + 1)(x – 6) B. (x + 3)(x – 2) C. (x + 6)(x
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X^2+x-6

x^2-2x+3x-6

x(x-2)+3(x-2)

(x+3)(x-2)

5 0
3 years ago
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