Answer:
hope it helps :):):)
Step-by-step explanation:
you need to find the common number for both numerator and denominator to multiply to
the answer will be 72/27
where by multiplying 8 and 3 by 9 gives us 72/27
Answer:
The answer is
<h2>V = 198 in³</h2>
Step-by-step explanation:
Volume of a cylinder = πr²h
where
h is the height
r is the radius
From the question
h = 7 in
To calculate the radius from the diameter we use the formula
radius = diameter/2
From the question
diameter = 6
radius = 6/2 = 3 in
Volume of the cylinder is
(3)²(7)π
= 9(7)π
= 63π
= 197.9203
We have the final answer as
<h3>V = 198 in³ to the nearest cubic inch</h3>
Hope this helps you
<h3>
Answer: Trapezoid</h3>
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Explanation:
There are two ways to do this problem.
Method 1 involves listing out the terms until we reach the seventh one.
- square
- hexagon
- trapezoid
- triangle
- square
- hexagon
- trapezoid
- triangle
We see that the trapezoid is term 7.
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Method 2 is faster and the one I recommend.
Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.
7/4 = 1 remainder 3
The remainder 3 means that the answer is found in term 3, which is the trapezoid.
Hello
sin ..... | 0° |30°|45°|60°|90°|
...........| 0...| 1..| 2..| 3..| 4..| write numbers
...........| 0...| 1..|√2.| √3 | 2..| take root square
...........| 0...|1/2|√2/2|√3/2|1| divide by 2
...........| 0...|1/2|√2/2|√3/2|1| .....
cos.....| 90°|60°|45°|30°| 0°|
sin (75°)
=sin(30°+45°)=sin 30°*cos 45° +cos 30°*sin 45°
.................... =1/2*√2/2 + √3/2*√2/2
.................... = √2(1+√3)/4
cos 75°
=cos(30°+45°)=cos 30°*cos 45°-sin 30°*cos 45°
=√3/2*√2/2-1/2*√2/2
=√6/4-√2/4=√2/4*(√3 -1 )
Answer:
Step-by-step explanation:
We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.
<u>We can compare this with simple quadratic sequence </u>
<u>and find out that doubling each term gives us </u>
This is close to our sequence, write the terms as follows to find exact rule
<u>The first term: </u>
- a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1
<u>The second term</u>
- a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1
<u>The third term:</u>
- a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1
<u>The fourth term:</u>
- a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1
<u>The nth term as per observation above is:</u>