V = 
r^2h/3
V = 3.14 x 4^2 x 6/3 (remember r is 1/2 of the diameter)
V = 3.14 x 16 x 2
V = 100.5
V = 3.14 x 4^2 x 6/3 (remember r is 1/2 of the diameter)
V = 3.14 x 16 x 2
V = 100.5
Sk
1 answer:
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Answer:
The correct answer is 25
Step-by-step explanation:
See the attached figure.
SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.
So, if ΔONM similar ΔSRQ by the SAS similarity theorem
∴∠N = ∠R
And
given that NM = 10 , NO = 8 , QR = x , RS = 20
∴
∴
So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25
The GCF of 18 and 36 is 18. To solve this, use the picture attached. After creating the boxes, find a number that both 18 and 36 can be divided by, for example, 9. Now that you have 9, divide both 18 and 36 by 9. That equals 2 and 4. Place the numbers underneath the boxes you made previously and find another number that both 2 and 4 are divisible by. 2 and 4 are both able to be divided into 2. Do 2 divided by 2 and 4 divided by 2. Now you have the numbers 1 and 2. There aren't any numbers that can be divided into 1 and 2, so now you are left with the numbers 9 and 2. Multiply the numbers together to get a GCF of 18. Hope this helped!
Answer:
m∠8 = 49°
Step-by-step explanation:
∠7 and ∠8 are same-side interior angles.
Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.
Let's use the variable 'x' to represent the unknown measure of angle ∠8.
(cancels itself out)
Therefore, the measure of ∠8 is 49°.
Given: 3y cos x = x² + y²
Define
Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)
Answer:
Define
Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
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Answer: