For this case, we know that:
Then, by Pythagorean theorem (right triangle on the right) we have:
So, again using the Pythagorean theorem (right triangle on the left) we have:
Substituting values:
Rewriting:
Answer:
The value of CA is given by:
Answer:
The correct options are;
1) The shape maps unto itself after a rotation of 270 degrees
2) The smallest angle of rotational symmetry is 90 degrees
3) The shape maps unto itself after a rotation of 180 degrees
Step-by-step explanation:
We note that the shape of a cross which consists of two equal members (segments) bisecting each other at right angles such that when a member is placed vertically upright, the other member will be horizontal, therefore we have;
After rotation by 90 degrees, the vertical member will become horizontal and vice versa
After rotation by 180 degrees, the vertical member will become horizontal and vice versa again
Similarly, after rotation by 270 degrees, the once vertical member will become horizontal and the horizontal member will become vertical
Answer:
Answer:
5x + 6
Step-by-step explanation:
(f-g)(x) is nothing but f(x) - g(x)
f(x) is |5x + 1| - 3 and g(x) is 4 so the equation is [|5x+1| - 3] - [4]
Once this is solved, the answer is 5x - 6. Since there's absolute value, remove the negative and change it to a positive to get the answer 5x + 6.
Answer: You do not need calculus for this problem, as it is currently stated. Is something missing from the problem statement? If not, then just find the difference between the volumes. That will be the additional air required to inflate from the lower volume to the higher volume. For r in inches and V(r) in inches cubed,
V1(r) = (4/3)πr3
V2(2) = (4/3)π(r + 1)3
V2(r) - V1(r) = (4/3)π[(r + 1)3 - r3]
That is your function. You can simplify it further if you wish.
brainliest answer plz
hope this helps BTW
Step-by-step explanation:
Whenever you divide any number with 10,100,1000,10000 ....
then move the decimal point of the given number toward left side as the number of zero in dividing number,
1.4/100
here in 100 there is 2 zeros , so we should shift the decimal 2 point left of 1.4
