Answer:
(√2 − √6) / 4
Step-by-step explanation:
Rewrite using special angles.
sin(-11π/12)
sin((4−15)π/12)
sin(4π/12 − 15π/12)
sin(π/3 − 5π/4)
Use angle difference formula:
sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
Evaluate:
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 + √2/4
(√2 − √6) / 4
The volume of the cylinder with a height of 9 cm and a radius of 5 cm is 706.9 cm³, if the radius is doubled, the volume would be 2827.4 cm³ (4 times)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Volume of cylinder = π * radius² * height = π * 5² * 9 = 706.9 cm³
If the radius is doubled:
Volume of cylinder = π * (2 * 5)² * 9 = 2827.4 cm³
The volume of the cylinder with a height of 9 cm and a radius of 5 cm is 706.9 cm³, if the radius is doubled, the volume would be 2827.4 cm³ (4 times)
Find out more on equation at: brainly.com/question/2972832
#SPJ4
Answer:
<h2>The angle ABC is 70°.</h2>
Step-by-step explanation:
You can observe a representation of the problem in the image attached.
According to the inscribed angle theorem, the angle created by two chords is half of its subtended arc, that means

Now, observe that the arc AC has as central angle the angle ABC, according to the theorem, the subtended arc and its central are congruent.

Therefore, the angle ABC is 70°.
Answer:
Option B
Step-by-step explanation:
<u>Step 1: Determine the range and domain</u>
Range is asking for what y values are being used. We can see that the vertex of the parabola is at y = 4 so we know that anything equal or above 4 would be included in the range.
Domain is asking for what x values are being used. We can see that the parabola is pointing in both the negative and positive x direction which means that it will go to infinity on both sides. This gives us the answer that the domain is all real numbers.
Looking at the given options, options C and D are automatically removed because the range is incorrect. Next looking at the domain we see that option A is incorrect which leaves us with option B.
Answer: Option B
(X (Fiona) + Y (Gary))/20 (10 days for each of them so it’s 20)
(x+y)/6