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.
Answer:
Step-by-step explanation:
this is a simultaneous equation question
f(1)=8 so a(1) + b = 8
f(4)=17 so a(4) + b = 17
can you figure this out from here ???
if you can't below is how to solve it
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a + b = 8
4a+b=17
multiply the top equation by 4 and then subtract the bottom one from the top
4a+4b = 32
-(4a +b = 17)
3b = 15
b=5
now plug 5 into the first equation
a + 5 = 8
a=3
there you go :)
Answer:
b. $35.61
Step-by-step explanation:
First, convert the 25% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 25%) by 100%.So, the conversational term "25%" becomes 25% / 100% = 0.25 in terms of a real mathematical number.
Second, you need to find out what 25% of your $28.49 meal cost is.This is always done by multiplying 0.25 by $28.49, or
<h2> 0.25 x $28.49=$7.12.
</h2>
So, the amount of tip you are going to leave is $7.12.
This makes the total cost of your meal (to write on your charge slip or other payment)
<h2>
$28.49 + $7.12 = $35.61.
</h2>
Answer:
it will take him 12 days to exercise for 576 minutes
Step-by-step explanation:
48x12=576
If the fraction is for example 1/4, try to graph it at before the half by a little.
