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.
He bought 3 scoops, each costing $1.19
The cost of the three scoops= 3*1.19= $3.57
Total cost of scoops and toppings is $4.55
Cost of toppings only= 4.55-3.57= $0.98
Each topping costs $0.49
Therefore number of toppings bought= 0.98/0.49= 2
Answer: 2 toppings
Answer: 1.2703
Step-by-step explanation:
Given : Sample size : n= 17, which is a small sample (n<30), so we use t-test.
Significance level : 
Then , Critical value : 
Standard deviation: 
The formula to find the margin of error : -
Hence, the error bound (EBM) of the confidence interval with a 90% confidence level.=1.2703
15 is the GCF of 15 and 30, as 15 is the largest factor of 15 and 30.
