Answer:
$17.12
Step-by-step explanation:
2.14 · 8 = 17.12
For this, you have to understand the ratios of a 30,60,90 triangle. The ratio(in order) is x, x(sqrt 3), 2x (following the 30,60,90 pattern y'know). Well, we know the length of the hypotenuse, 4.2, so let's use ratios to figure the other sides out. The ratio of AC is x and the ratio of AB is 2x, so 2x/2=x=2.1. One side down. BC has a ratio of x(sqrt 3). We already know x so we can substitute it in. We get 2.1(sqrt 3). To calculate the area, use the formula 1/2(bh). Inputting the values in, we get 1/2(2.1*(2.1(sqrt 3)). This can be calculated to around 3.82. To calculate the perimeter, take the sum of the sides. By adding the sides together, we get about 9.98. Hope you can now understand how to do these kinds of questions.
6) 9/4 divided by 5/8
9/4x5/8
9x8/4x5
72/4/5
72/20
18/5
Answer: 18/5
7) 2 1/2 divided by 4 1/2
2x2+1/2 divided by 4 1/2
4+1/2 divided by 4 1/2
5/2 divided by 4 1/2
5/2 divided by 8+1/2
5/2 divided by 9/2
5/2x9/2
5/2x2/9
5x1/9
5/9
Answer: 5/9
Write and solve an equation, as follows:
-7y + 5(3+ny) = 3y + 15. We are to find the value of 'n.'
-7y + 15 + 5ny = 3y + 15.
Subtracting 15 from both sides, we get -7y + 5ny = 3y
Grouping like terms, we get 5ny = 3y + 7y = 10y
Dividing both sides by 5y, we get n = 2 (answer)
Answer:
49.5
Step-by-step explanation: