Answer:
RC = 40
Step-by-step explanation:
Note that the circumcentre is equally distant from the triangle's 3 vertices.
That is : PC = RC = QC
Equate any pair and solve for x
Using RC = PC, then
5x - 15 = 3x + 7 ( subtract 3x from both sides )
2x - 15 = 7 ( add 15 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Hence
RC = (5 × 11) - 15 = 55 - 15 = 40 units
Answer:
A total of 18 gallons of more gas
Step-by-step explanation:
7 gallons = 210 miles
750-210= 540
210*2 =420 miles 7*2=14 gallons
210/2= 105 7/2=3.5 gallons
525 miles 17.5 miles
210/14= 15 7/14=.5 gallons
540 miles 18 gallons
Answer:
$817.60
Step-by-step explanation:
Simple interest has the formula:
Simple Interest = Principal * rate * time
here,
Principal amount is $730
The rate of interest is 3%, which is 3/100 = 0.03
The time length in years is given as 4
We find the interest amount first:
SI = P * r * t
SI = 730 * 0.03 * 4
SI = 87.6
We are asked to find FINAL BALANCE, which is PRINCIPAL + INTEREST
So,
Final Balance = 730 + 87.6 = $817.60
Answer:
0.1137= 11.37%
Step-by-step explanation:
Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:
P(X>=1)= ~P(X=0) = 1
P(X>=1)=- P(X=0)
P(X>=1)=1 - (364/365)^44
P(X>=1)=1- 0.8862
P(X>=1)=11.37%
Answer:
Step-by-step explanation:
Given a circle centre J
Let the radius of the circle =r
LK is tangent to circle J at point K
From the diagram attached
Theorem: The angle between a tangent and a radius is 90 degrees.
By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.
Using Pythagoras Theorem:
The length of the radius, 
