Answer:
486
Step-by-step explanation:
9*9=81
81*6=486
The 9 is because of each side being 9 inches long and there are 6 sides.
Part A)<span>In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?
we know that
</span>cos 45°=√2/2
[he length of the hypotenuse]=11/cos 45-----------> 11/(√2/2)----> (11*2)/√2
=22/√2-------> 11√2 in
the answer Part A) is 11√2 in
Part B) <span>What is the exact value of sin 45° ?
</span>
we know that
sin 45°=11/(11√2)-------> 1/√2---------> (1/√2)*(√2/√2)-----> √2/2
the answer part b) is √2/2
Part C)
<span>What is the area of a regular hexagon with a side length of 4 m?
we know that
</span>In case of a regular hexagon <span> each of the six triangles that are formed by connecting its center with all six vertices is an equilateral triangle with a side equaled to 4 m.
The area of this hexagon is six times greater than the area of such a triangle
</span>
In an equilateral triangle with a side d<span>
the altitude </span>h can be calculate from the Pythagorean Theorem as
h²=d²−(d/2)²=(3/4)d²
<span>Therefore,
</span><span>h=d<span>√3/2
</span></span><span>Area of such a triangle is
</span>A=d*h/2------------> d²*√3/4
From this the area of the regular hexagon with a side d<span> is
</span>S=6*A----------> d²3√3/2
for d=4 m
S=4²3√3/2------> 24√3 m²------------> 41.57 m²
the answer Part C) is 41.57 m²
Part D) <span>In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
</span>[he length of the hypotenuse]=5/sin 30--------> 5/(1/2)---------> 10 cm
the answer part D) is 10 cm
Answer:
The answer is
Step-by-step explanation:
C. f(x) = 500(2)^x
2020
Answer:
1/3 chance
Step-by-step explanation: 2/6=1/3
Answer:
20%
Step-by-step explanation:
According to the Question,
Given that, The average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table.
Year Number of Subscribers Percentage increase(20%)
2010 320000
2011 384000 320000 × 1.20 = 384000
2012 460800 384000 × 1.20 = 460800
2013 552960 460800 × 1.20 = 552960
2014 663552 552960 × 1.20 = 663552
2015 796262 663552 × 1.20 = 796262
- The percent increase in the average number of subscribers each year since 2010 was 20% .
