The reference triangle is a right triangle and therefore, the properties of
the reference triangle are similar to right triangle properties.
The correct options are as follows;
- The reference triangle always have a leg perpendicular to the <u>x-axis</u>, the hypotenuse is positive, and θ is the angle adjacent to the <u>x-axis and hypotenuse</u>.
<h3>Reasons</h3>
The reference triangle is formed by the construction of a perpendicular
to the x-axis from the terminal side of an angle, oriented in the standard
position.
Therefore;
- The reference triangle is a right triangle that always has a leg perpendicular to the x-axis.
- The hypotenuse is taken as positive, given that the magnitude of the hypotenuse is the square root of the sum of the squares of the legs.
- In the first quadrant, the reference angle, θ, is the same as the standard position angle and it is given by the angle formed between the x-axis and the hypotenuse side.
The correct options are therefore;
In Trigonometry it is important that the right triangle (reference triangles)
have a consistent orientation. The reference triangles always have a leg
perpendicular to the <u>x-axis</u>, the hypotenuse <u>positive</u> and the θ is
adjacent to the <u>x-axis and hypotenuse</u>.
Learn more about reference angles and right triangles here:
brainly.com/question/10657736
brainly.com/question/1593685
Answer:
The answer is C.
Step-by-step explanation:
It was right on ed20
Answer:
1 Superscript 13 and 1 Superscript 15
Step-by-step explanation:
The process of exponentiation can be mathematically written as:
a^b
where a is called the base, and b is called the exponent.
Basically it means that we have to multiply the base with itself as many times as the value of the exponent.
For example 2^4 is 2•2•2•2
Having this in mind, 1^13 and 1^15 have equivalent values, because no matter how many times we multiply 1 with itself it will always be equal to 1.
In order to solve this, all you have to do is divide 35 by 1.4 (because you need to move the decimal places over to the left two places when changing from a percentage to a decimal.) When you do that, you get 25, so 35 is 140% of 25. I hope this helps! :)
Answer:
Volume of the frustum = 225.0952
Surface area = 274
Step-by-step explanation:
The volume can be calculated as the difference of the complete pyramid and the tip of the pyramid.
To find the height of the frustum, we can use pythagoras theorem in the following triangle:
first side: 9 - 5 = 4
second side h (height)
hypotenusa: slang = 6
6^2 = h^2 + 4^2
h^2 = 36 - 16 = 20
h = 4.4721
To find the height of the complete pyramid (H), we can use the following rule of three:
H / 9 = (H - 4.4721) / 5
5H = 9H - 40.2489
4H = 40.2489
H = 10.0622
Volume of complete pyramid:
V_complete = (1/3)*9^2*10.0622 = 271.6794
Volume of the tip:
V_tip = (1/3)*5^2*(10.0622 - 4.4721) = 46.5842
Volume of the frustum:
V_frustum = V_complete - V_tip = 225.0952
The surface area is the bigger base area + smaller base area + four side areas.
Bigger base area = 9^2 = 81
Smaller base area = 5^2 = 25
Side area = (9+5)*6/2 = 42
Total surface area: 81 + 25 + 4*42 = 274
