<h3>
Answer: Choice B</h3><h3>
x = 9*sqrt(3) and y = 18</h3>
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Explanation:
The short leg is given to be 9 units long. This side is opposite the smallest angle. The rule is that smallest side is opposite the smallest angle. The hypotenuse is twice as long as the short leg in a 30-60-90 triangle, so 2*9 = 18 is the hypotenuse.
The long leg is equal to sqrt(3) times the short leg
long leg = (short leg)*sqrt(3)
long leg = 9*sqrt(3)
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You can use the pythagorean theorem with a = 9 and c = 18 to solve for b
a^2 + b^2 = c^2
9^2 + b^2 = 18^2
81 + b^2 = 324
b^2 = 324 - 81
b^2 = 243
b = sqrt(243)
b = sqrt(81*3)
b = sqrt(81)*sqrt(3)
b = 9*sqrt(3)
It's a longer way to get the same answer as above for the length of the long leg.
Answer:
129.25
Step-by-step explanation:
Area of the rectangle
Area = L * W
L = 10
W = 9
Area = 9 * 10 = 90
Area of the1/2 circle
Area of a whole circle = pi * r^2
Area of a 1/2 circle = pi * r^2 /2
d = 10
r = d/2
r = 10/2
r = 5
Area of the 1/2 circle = 3.14 * 5^2 /2 = <u> 39.25</u>
Total 129.25
Answer:
x=5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
1⅗
Step-by-step explanation:
=44/5÷11/2
when two fractions are dividing,turn the division sign into multiplication sign and take the reciprocal of one fraction.That is,in one fraction let the numerator become the denominator and the denominator become the numerator
=44/5×2/11
then 11 goes into forty-four. 4
therefore
=4/5×2/1
=8/5
=1⅗
Answer:
B
Step-by-step explanation:
f(x)=6^x has a full, positive number that is greater than one. The others are all fractions, and either are almost straight or decrease. If you graph all four, you can also see that f(x)=6^x is the only function that is increasing.
Hope this helped.