Answer:
Step-by-step explanation:
Remark
The editor must have brackets put around the denominator when there are 2 terms.
That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.
To rationalize the denominator, you must multiply numerator and denominator by the conjugate (√8 + √3).
Solution
√5 * (√8 - √3) / ( (√8 - √3) * (√8 + √3) )
I don't think there is any point in removing the brackets in the numerator. Just leave it.
The denominator is a different matter.
denominator = ( (√8 - √3) * (√8 + √3) )
√8 * √8 = 8
√8 * √3 = √24
- √3 * √8 = - √24
-√3 * √3 = - 3
Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.
What you are left with is 8 - 3 = 5
So the final answer is
√5 * (√8 - √3)
=============
5
Answer:
3 / 8 litres
Step-by-step explanation:
Total soup broth = 6 liters
Vegetable soup = 3 3/3 litres = 3 + 1 = 4 litres
Beef soup = 1 5/8 litres
Fraction of soup left :
Total - (vegetable + beef)
6 - (4 + 1 5/8)
6 - 5 5/8
6 - 5 - 5 /8
1 - 5/8
(8 - 5) / 8
= 3 / 8 litres
The length of the cable will be 6 feet which can be installed 120-volt/15-amp circuit.
<h3>What is an ampere circuit?</h3>
Ampere's circuital law states that “the line integral of the magnetic field surrounding closed-loop equals to the number of times the algebraic sum of currents passing through the loop.”
Here we have a cable rating of 120-volt/15-amp so if the 1-ampere circuit means 1 watt per foot cable will be used for the 1-ampere circuit.
A Total of the 15-ampere circuit means 15 watts needed so we are using 2.5 watts per foot.
Hence the length of the cable will be 6 feet which can be installed 120-volt/15-amp circuit.
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Answer:
Step-by-step explanation:
(12)*(0,75) = 9 inches
The width of the copy will be 9 inches
Best regards
The length of the leg 's' will be equal to 5 units so the correct answer is option A.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
Given that the triangle is having two angles of 45 and the hypotenuse is 5√2.
The value of leg s will be calculated as follows:-
Sin 45 = Perpendicular / Hypotenuse
Sin 45 = s / 5√2
s =
s = 5
Therefore the length of the leg 's' will be equal to 5 units so the correct answer is option A.
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