Answer:
Step-by-step explanation:
Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as
Hypotenuse² = one leg² + other leg²
Therefore,
h² = (3a)³ + (4a)³
h² = 27a³ + 64a³
h² = 91a³
Taking square root of both sides,
h = √91a³
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is
√91a³ + (3a)³ + (4a)³
= √91a³ + 91a³
Answer:
88
Step-by-step explanation:
First you must find the circumference of the entire circle and to do this you use 2πr. The radius in this case is PX=15. This means that the circumference is 30π. Now to find the arc length, we know that the measure of arc XY is 23 degrees, and since there are 360 total degrees in a circle, we must subtract 23 from 360 to get 337° as the measure of arc XQY. Now we have to find what portion of the circumference of the circle is in this arc, and to do this you divide the arc length (337°) by 360° and multiply by the circumference of the circle. Doing this would get you 
which equals ~28. Finally, you have to multiply this by the value of pi and get approximately 88, which is your answer.
So the answer would be 8+9n≥80. The reason why is because he has $80 and he saved $8 and he earned $9 for each hour but we do not know how many hours so that is why it is n. and it says minimum so u might think that it might be ≤ but my sister says to think the opposite so the symbol will be ≥.
<u>Check: </u> <u>IT SAYS THAT N IS GREATER THAN 8 SO CHOOSE A NUMBER GREATER THAN 8 WHICH CAN BE 9.</u><u>
</u>
8+9n≥80
8+9*9≥80
8+81≥80
90≥80, so this makes sense.
The answer you have selected is correct
Answer:
y^3/4x
Step-by-step explanation:
Given that the expression 6x^2/5y multiplied by some unknown gives answer as 3xy^2/10
We know that if ab = c, the b = c/a
Using the same principle, we have
unknown value = 3xy^2/10 divided by 6x^2/y
Use the fact that a/b divided by c/d = ad/bc
We get unknown = 5y(3xy^2)/6x^2 (10)
=15xy^3/60x^2
Simplify the constant part 15/60 as 1/4
xy^3 /x^2y
X term becomes x/x^2 = 1/x
so multiplying term =y^3/4x
