Answer:
The length of NP is 2 units.
Step-by-step explanation:
Given the radius of 5 units and the length of MP is 4 units in the circle
we have to find the length of NP
OL=OM=5 units ( ∵ Radii of same circle)
In ΔOMP, by Pythagoras theorem




As we see



Hence, the length of NP is 2 units.
Option D is correct.
X/-9 ≥3 multiply both side by -9 to get rid of fraction
-9/1•x/-9 ≥-9•3
Cross cancel -9 on left side
x ≥ -27
Answer:

Step-by-step explanation:
Given
on solving this mixed fraction we get;

Now adding these fractions by same denominator method.
![-\frac{29\times3}{10\times3} +[-\frac{64\times2}{15\times2} ]\-\frac{87}{30} +[-\frac{128}{30}]\ = -\frac{215}{30}](https://tex.z-dn.net/?f=-%5Cfrac%7B29%5Ctimes3%7D%7B10%5Ctimes3%7D%20%2B%5B-%5Cfrac%7B64%5Ctimes2%7D%7B15%5Ctimes2%7D%20%5D%5C-%5Cfrac%7B87%7D%7B30%7D%20%2B%5B-%5Cfrac%7B128%7D%7B30%7D%5D%5C%20%3D%20-%5Cfrac%7B215%7D%7B30%7D)
Answer:
Bill's bar has 57.3 grams of cocoa.
Step-by-step explanation:
The math part that your question is asking is: What is 69% of 83?
In order to use the percent 69% in a calculation, you need to change it to a decimal.
69% is 0.69
You move the decimal to the left, two places.
69% is 69.% If you don't see a decimal to start with and it is a whole number, then the decimal is starting on the right.
Move it two places to the left, you get
.69
Now MULTIPLY.
.69 × 83
= 57.27
ROUND your answer to the nearest tenth. That means only one digit to the right of the decimal.
57.27 rounds to 57.3
Bill's bar has 57.3 grams of cocoa.