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2 years ago

A right triangle (90) has a one angle that measures 55 degrees. What is the measure of the third angle?

Mathematics

2 answers:

Lilit [14]2 years ago

8 0

Yep it is 180 the answer

Arturiano [62]2 years ago

4 0

Answer:

c or 35

Step-by-step explanation:

subtractoin because all angles in a triangle = 180

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Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

2 years ago

F(x)=x2+5x-1 is shifted 3 units left the result is g(x) what is g(x)?

Len [333]

Replace the x in x^2 + 5x - 1 by x+3:-

g(x) =
(x+3)^2 + 5(x+3) - 1

= x^2 + 6x + 9 + 5x + 15 - 1

= x^2 + 11x + 23

- thats g(x)

6 0

2 years ago

Suppose you have $245. If you decide to spend it all on ice cream, you can buy 70 pints. If the price of a glass of lemonade is

guajiro [1.7K]

Answer:

198

Step-by-step explanation:

7 0

2 years ago

A fruit seller purchased 20 kg of apples at Rs 80 per kg and sold them at Rs 85 per kg. find profit and profit percent

viktelen [127]

Answer:

Profit = Rs 100

Profit %age = 6.25%

Step-by-step explanation:

Cost Price = Rs 80

Cost Price for 20 kg = Rs 1600

Selling Price = Rs 85

Profit for 1 kg = Rs 85 - Rs 80

=> Rs 5 (For 1 Kg)

Profit for 20 kg:

=> Rs 5*20

=> Rs 100

Now Profit %age:

=> $\frac{100}{1600}* 100$

=> 0.0625 * 100

=> 6.25%

7 0

3 years ago

Read 2 more answers

Any number multiplied by (A) 5 (B) 6 (C) 7 (D) 9 has only even products.

yaroslaw [1]

Answer:

c 6

Step-by-step explanation:

6,12,18,24,39,36,42,48

7 0

2 years ago

Read 2 more answers