Warning: This might be rough...
First draw it out. Label the angles at the corners of the triangle 60 (definition of equilateral triangles). Now draw a line from the center of the circle to the corner, splitting the corner in half. Label this line R and a corner as 30 degrees. No to find the height of this triangle, you do rsin(30). The base of this triangle is 2rcos(30). Now find the area of this mini triangle (rsin(30)*2rcos(30)/2=r/2*rsqrt(3)/2=r^2sqrt(3)/4). Now multiply this by 3 because you have 3 mini triangles... to get...
<span>r^2 3sqrt(3)/4</span>
Answer:
y intercept=3/2
Step-by-step explanation:
First of all, write it in slope intercept form
y=-1/6x+3/2
y=mx+b
b=y-intercept
y intercept=3/2
Answer:
1. 16 cups
2. 8 pints
Step-by-step explanation:
In this question, we are asked to calculate the amount of cups of juice made from a certain gallon and the amount left in pints after some certain amount of the juice was consumed.
To solve this problem, we need to know the amount of cups present in a gallon of juice.
Mathematically, there are 16 cups present in a gallon. Now since she made two gallons, the amount of cups present is thus 16 * 2 = 32 cups of juice
2. 16 cups was consumed by the family. The amount of cups left is thus 32 - 16 = 16 cups of juice
We need our answer in pints however.
Mathematically, 1 pint is composed of 2 cups.
This means 16 cups would be composed of 16/2 pints = 8 pints
Answer:
2 Liters
Step-by-step explanation:
.25 liters=1/8 fish aquarium
.25x8=2
Answer:
Population is 34000 students
Sample is 770 students
Step-by-step explanation:
Population :In statistics, a population is the entire pool from which a statistical sample is drawn.
Sample: A sample refers to a set of observations drawn from a population.
We are given that 34,000 students attended the university.
Out of which a random sample of 370 male students and 400 female students was selected
So, Total students selected = 370+400=770
So, Population is 34000 students
Sample is 770 students
So, Option C is true.
