Answer:
22 grams
Step-by-step explanation:
loses 50% of it's mass per 22 years
so after 22 years the mass would be 44 grams
22 years later would leave 50% of 44 grams = 22 grams
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:
4.80
Step-by-step explanation:
17+5.50h=11+6.75h
- subtract 11 from both sides
-subtract 5.50 from both sides
-divide to get h alone
Answer:
4
Step-by-step explanation:
h(k(3))=
=4
Your answer would be C and D, the domain for this function is all real numbers, and the range for this function is the set {-5}.
C is correct: The domain of a function is the amount of x values. For example, if you had a line going from an x value of 1 to an x value of 3, the domain would be {1<x<3}.
In this case, C is stating the domain of this function is all real numbers. This is true, because the straight line will continue for all values of x, so therefore the domain is all values of x, or all real numbers.
D is correct: The range is the exact opposite of a domain of a function. It is the number of y values the function covers.
In this case, D is stating the range is {-5}. This is correct, because the straight line only covers the y value of -5, so therefore that is the range.
A is therefore incorrect because the domain has already been established as all real numbers. B is incorrect because a horizontal line is a function, and one value of y can have multiple values of x. E is incorrect because the range has already been established as only one number.
Good luck!
