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:
4
Step-by-step explanation:
√250=√(25*10)
5√10
15.8 to nearest tenth
Answer:
Step-by-step explanation:
The cylindrical basin has a height of 2 ft and a diameter of 5 ft.
To find the amount of water that will completely fill up the basin, we simply need to find the volume of the basin.
The volume of a cylinder is given as:
where r = radius of the basin (half the diameter) = 2.5 ft
h = height of the basin
Hence, the volume is:
≅
The cylindrical basin can hold up to of water.
Step 1:<span>Simplify both sides of the equation.</span><span><span>2<span>(<span><span>3x</span>+1</span>)</span></span>=<span>3<span>(<span>2−x</span>)</span></span></span><span><span><span><span>(2)</span><span>(<span>3x</span>)</span></span>+<span><span>(2)</span><span>(1)</span></span></span>=<span><span><span>(3)</span><span>(2)</span></span>+<span><span>(3)</span><span>(<span>−x</span>)</span></span></span></span>(Distribute)<span><span><span>6x</span>+2</span>=<span><span>6+</span>−<span>3x</span></span></span><span><span><span>6x</span>+2</span>=<span><span>−<span>3x</span></span>+6</span></span>
Step 2: Add 3x to both sides.<span><span><span><span>6x</span>+2</span>+<span>3x</span></span>=<span><span><span>−<span>3x</span></span>+6</span>+<span>3x</span></span></span><span><span><span>9x</span>+2</span>=6</span>
Step 3:Subtract 2 from both sides.<span><span><span><span>9x</span>+2</span>−2</span>=<span>6−2</span></span><span><span>9x</span>=4</span>
Step 4:Divide both sides by 9.<span><span><span>9x</span>9</span>=49
hope it helps :)
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