B. 3 √3
The shortcuts for a 30 60 90 triangle is that the:
Hypotenuse is 2 times the short leg
The long leg is √3 times the short leg.
Making it 3 √3
Another way is by the Pythagorean Theorem.
a^2+b^2=c^2
3^2+b^2=6^2
9+b^2=36
Subtract 9 from both sides
b^2=27
Square root both sides
b=5.2 or the √27
√27 can be simplified more
An equation that equals to 27 that has a perfect square is 9*3
√9* √3
The perfect square of 9 equals to 3
So 3 √3
Answer:NO
Step-by-step explanation:
Let b= length and a=width
Area= a*b and the problem said b=2a+3 (the length is 3ft more than double the width)
Replace b into Area formula:
Area= a*(2a+3) and we know that Area=77ft from the problem, so:
77=2a^2+3a now order and equal to zero:
2a^2+3a=77 now solve this with quadratic formula and you will get so values for a: -7ft and 5.5ft as you know the dimensions could not be negative so the correct answer for "a" side is 5.5ft, for getting the b side you haeve to replace a=5.5 into b=2a+3 and you will get b=2*5.5+3= 14ft.
Finished.
1 equals 0.46 (make a line over the 6 to show it is repeated)
2 equals 0.4 (make a line over the 4 to show it is repeated)
3 equals -0.6 (make a line over the 6 to show it is repeated)
4 equals -0.857142 (make a line over all numbers past the decimal to show it is repeated)
5 equals 3.3409 (make a line over the 09 at the end to show it is repeated)
6 equals -1.7727 (make a line over the 27 at the end to show it is repeated)
7 equals 66.5%
8 equals 3.16 (make a line over the 6 to show it is repeated)
9 equals -9 over 10
10 equals -17 over 20
11 equals -3 and 4 over 5
This is volume of a sphere.
