Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.
Step-by-step explanation:
I suppose that the "legs" of a triangle rectangle are the cathati.
if L is the length of the shorter leg, 2*L is the length of the longest leg.
Now you can remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then there is one acute angle calculated as:
Tan(θ) = (shorter leg)/(longer leg)
Tan(φ) = (longer leg)/(shorter leg)
And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.
Then we need to find θ and φ.
Tan(θ) = L/(2*L)
Tan(θ) = 1/2
θ = Atan(1/2) = 26.57°
Tan(φ) = (2*L)/L
Tan(φ) = 2
φ = Atan(2) = 63.43°
Then the ratio between the larger acute angle and the smaller acute angle is:
R = (63.43°)/(26.57°) = 2.39
This means that the larger acute angle is 2.39 times the smaller acute angle.
There are two sides in a coin so the chance of getting tails is 1/2, which would be 0.5.
I'm not sure tho.
Sue Brown owes $280.00 in state taxes for the month.
Step-by-step explanation:
Given,
Gross pay of Sue in June = $8000
Tax rate = 3.5%
As full amount is taxable; therefore
Amount of tax to be paid = 3.5% of pay of June
Amount of tax to be paid = 
Amount of tax to be paid = 0.035*8000
Amount of tax to be paid = $280.00
Sue Brown owes $280.00 in state taxes for the month.
Keywords: percentage, multiplication
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#LearnwithBrainly
You could use a method called cross products to solve this proportional equation. What you would do is multiply 3.4*7.7 =2.17*x
If multiplied correctly, your equation should be 26.18 = 2.17x
You are trying to get the variable alone on one side. To do this, you have to undo the multiplication of the coefficient. The opposite of multiplication is division, so you would divide both sides by 2.17.
If done correctly, your equation should now be x=<span>12.064516129
However, this can be rounded to x= approximately 12.066
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Answer:
We have the system:
x ≤ 7
x ≥ a
Now we want to find the possible values of a such that the system has, at least, one solution.
First, we should look at the value of a where the system has only one solution:
We can write the 2 sets as:
a ≤ x
x ≥ 7
So, writing both together:
a ≤ x ≤ 7
if a is larger than 7, we do not have solutions.
then a = 7 gives:
7 ≤ x ≤ 7
Here the only solution is 7.
Now, if a is smaller than 7, for example 5, we have:
5 ≤ x ≤ 7
Now x can take different values, so we have a lot of solutions.
Then the restrictions for a, such that the system has at least one solution, is:
a ≤ 7.
