Answer:
h=7.5 in
Step-by-step explanation:
see the attached figure with letters to better understand the problem
In the right triangle ABC
sin(CAB)=15/18 ----> opposite side divided by the hypotenuse
In the right triangle CDE
sin(DCE)=h/9 ----> opposite side divided by the hypotenuse
In this problem
∠CAB=∠DCE ------> by corresponding angles
therefore
sin(CAB)=sin(DCE)
15/18=h/9
solve for h
h=15*9/18
h=7.5 in
Answer:
666.4 dollars per day
Step-by-step explanation:
Total milk farmer has is 490 gallons
He keeps 1/35 of 490 gallons
so he keeps = 1/35*490= 14 gallons
He sells remaining milk.
Remaining milk = 490-14 = 476 gallons
1 gallon = 4 quart (conversion formula)
so 476 gallon = 4 * 476 = 1904 quart
selling price of 1 quart = 35 cents = 0.35 dollars
so selling price of 1904 quart = 0.35*1904 = 666.4 dollars
So he makes 666.4 dollars per day.
Answer:
At x= 20.10723974, both f(x)=g(x)
Step-by-step explanation:
f(x) = 300(1-0.04)^x = 300(0.96)^x
g(x) = 60(1+0.04)^x = 60(1.04)^x
now equate both of them and calculate x
300(0.96)^x = 60(1.04)^x
5(0.96)^x = (1.04)^x
ln(5) + x ln(0.96) = x ln(1.04)
x={ln(5)}/{ln(1.04)-ln(0.96)}
x= 20.10723974
There is no restrictions for x for f(x) =3✓x because you can take the cube root of any real numbers. Therefore, the domain is infinity she. dealing with the set of real numbers.
You can't take the square root of negative numbers. So, x values are restricted for f(x) = ✓x for real numbers and the domain is (0, infinity).
<h3>How to explain the domain?</h3>
It should be noted that since x cannot take negative values in the question, the square root he undefined. Hence it is an imaginary value.
Also, You can't take the square root of negative numbers. So, x values are restricted for f(x) = ✓x for real numbers and the domain is (0, infinity).
The complete question is attached.
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A type Ia supernova is a type of supernova that occurs in binary systems (two stars orbiting one another) in which one of the stars is a white dwarf. The other star can be anything from a giant star to an even smaller white dwarf<span>.
I hope my answer has come to your help. God bless and have a nice day ahead!
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