14. The distance between the two points is 14.866.
Distance can be calculated with the following formula:
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(12-2)²+(5-(-6))²
d=√10²+11²
d=√100+121
d=√221
d=14.866
15. The distance between the two points is 20.248.
Use the same formula to find the distance.
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(4-(-3))²+(12-(-7))²
d=√7²+19²
d=√49+361
d=√410
d=20.248
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
Answer: the amount of interest after 3 years is $60
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount of money deposited.
P represents the principal or amount of money deposited.
R represents interest rate on the deposit.
T represents the duration of the deposit in years.
From the information given,
P = $500
R = 4%
T = 3 years
Therefore,
I = (500 × 4 × 3)/100
I = $60
In 371 ways Mrs. Sullivan choose two students from 27 to help put away calculators at the end of class
Step-by-step explanation:
let us assume that Mrs.Sullivan wants to choose 2 students from a group of 27 students
So ,in the first choice we have 27 students
In the second choice we have 26 choices
So Mrs.Sullivan has = 27 × 26 = 702 ways
But each group repeated twice,in order to avoid that we will divide the answer by 2
so we will write
= 702 ÷ 2 =<u> 351 ways</u>
<u>This method of calculation is called Combination</u>
