If she picks 2/4 in half an hour she must pick 1.5 in an hour (2/4 x 2) so times that by 2 then its 3
Multiplying a fraction by a repeating decimal since a fraction is rational and a repeating decimal is rational (repeating numbers will always be rational). Rational number time rational number=rational Pi is an irrational number since the numbers are not repeating (3.1415926535 no repeating numbers as opposed to 0.3333333333333333333 or 0.1919191919)
Let x represent the length of the shorter leg.
Longer leg: 5x +19
Hypotenuse: 5x +20
Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive
The side length of the triangle are 13, 84, 85 feet.
Answer:
108 in
Step-by-step explanation:
The figures are similar, so if we find a relation of the area and the diagonal in rectangle 1 we can apply it to rectangle 2.
rectangle 1 :
72/x=12
x=6
therefore
72/6=12
rectangle 2:
A/x=18
A/6=18
6*18=108
A=108 in
Hope this helps
~Lalagrl
Find the lateral area of a cylinder with the given measurements. Use 3.14 for pi and round your answer to the nearest tenth.
height: 15 centimeters
radius: 9 centimeters
Question 11 options:
787.3 cm2
1356.5 cm2
847.8 cm2
889.9 cm2
So we know the formula for the lateral area of a cylinder is:
AL=2πrh
now all we have to do is put the given value in place of the correct variable then solve like so:
AL=2*3.14*9*15
AL= 847.8 cm2
so the answer is the third option
hope this helps
~Lalagrl
