Answer:
29.3 cm
Step-by-step explanation:
converting 70 degrees into radians, we get=(7/18)×π
now we know,
length of the arc= {(7/18)×π} × 24 (radius of the circle)
= 29.3 cm
Answer: The correct answer is B; 10,240π in³
Step-by-step explanation: To calculate the volume of a cylinder, the given formular is
Volume = π r² h, where
radius (r) = 16
height (h) = 40
Pi (π) = 3.14
It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.
Therefore, inserting the values of radius, height and pi into our formular, we now have;
Volume = π r² h
Volume = π x 16² x 40
Volume = π x 256 x 40
Volume = π x 10,240
Therefore the exact volume of the cylinder = 10,240π in³
Answer:
4
Step-by-step explanation:
4 is one term, 6c is one term, 14 is one term, and 1 is a term. total=4.
Answer:
It is C. with love, with patience and with faith
she'll make her way
Step-by-step explanation:
Because i got it right on edge
Answer:
Stock A
Stock B
Step-by-step explanation:
When we say something is increased (or decreased) by a percentage, we mean that the percentage of the original amount is added to (or subtracted from) the original amount.
Of course, you know that 5% = 5/100 = 0.05, so that an increase of 5% in d would be ...
d + 0.05d . . . . . 5% of the original amount (d), added to d
Factoring out d gives another version of this expression:
d(1 +0.05)
and combining the numbers gives yet another version of the same expression:
1.05d
These are the ways that the increase in Stock A can be expressed:
d +0.05d
d(1 +0.05)
1.05d
__
Similarly, if the "increase" is negative, as for Stock B, we can use the same sorts of expressions. +0.05 gets replaced by -0.05, but the form of the expression is the same.
d - 0.05d . . . . . the original amount decreased by 5%
d(1 -0.05) . . . . .d factored out
0.95d . . . . . . . . the numerical coefficient simplified
