We are told in the question that 1 carat is equal to 200 mg.
The Hope Diamond is 44.5 carats. Let's multiply the weight of 1 carat by 44.5 to get the weight of the Hope Diamond in mg:
The total weight of the Hope Diamond is 8,900 mg. However the question asks for the weight in grams. There are 1000 mg in 1 gram, so let's divide the known weight of the Hope Diamond in mg by 1000 to get the weight converted to grams:
Now we know that
the weight of the Hope Diamond is equal to 8.9 grams.
The sum of polynomials involves adding the polynomials
The other polynomial is 
The sum of the polynomials is given as:
One of the polynomials is given as:
Represent the other polynomial with Q.
So, we have:
Substitute the expressions for P and Sum
Make Q the subject
Evaluate like terms
Hence, the other polynomial is
Read more about polynomials at:
brainly.com/question/1487158
Answer:
Total bill = $88.50
Step-by-step explanation:
Amount of bill = $75
Tip = 18%
Amount of tip = 
Amount of tip = 
Amount of tip = $13.50
Total bill = Bill + Tip
Total bill = 75 + 13.50
Total bill = $88.50
Answer:
You can use either of the following to find "a":
- Pythagorean theorem
- Law of Cosines
Step-by-step explanation:
It looks like you have an isosceles trapezoid with one base 12.6 ft and a height of 15 ft.
I find it reasonably convenient to find the length of x using the sine of the 70° angle:
x = (15 ft)/sin(70°)
x ≈ 15.96 ft
That is not what you asked, but this value is sufficiently different from what is marked on your diagram, that I thought it might be helpful.
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Consider the diagram below. The relation between DE and AE can be written as ...
DE/AE = tan(70°)
AE = DE/tan(70°) = DE·tan(20°)
AE = 15·tan(20°) ≈ 5.459554
Then the length EC is ...
EC = AC - AE
EC = 6.3 - DE·tan(20°) ≈ 0.840446
Now, we can find DC using the Pythagorean theorem:
DC² = DE² + EC²
DC = √(15² +0.840446²) ≈ 15.023527
a ≈ 15.02 ft
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You can also make use of the Law of Cosines and the lengths x=AD and AC to find "a". (Do not round intermediate values from calculations.)
DC² = AD² + AC² - 2·AD·AC·cos(A)
a² = x² +6.3² -2·6.3x·cos(70°) ≈ 225.70635
a = √225.70635 ≈ 15.0235 . . . feet
Answer:
for rock it is 0.29 and for country it is. 25
Step-by-step explanation:
5/ 17=.29
4/16=.25
