Answer:
19.24 cm
Step-by-step explanation:
Square the outsides of the triangle. 8 squared is 64 and 5 squared is 25.
A^2+B^2=C^2
c^2 is always the diagonal line.
a^2=25
c^2=64
Subtract 25 from 64 to find b^2
64-25= 39
Add all three together to get your perimeter.
The square root of 64 is 8, the square root of 25 is 5 and the square root of 39 is 6.24. Add 8, 5 and 6.24 together and you get the perimeter.
5+8+6.24= 19.24
Answer:
Greatest possible number of solutions of these set of equations are 2
Step-by-step explanation:
We have been given two functions in the question.
x² + y² = 9
9x + 2y = 16
We know that the equation of circle is given by:
(x - h)² + (y - k)² = r²
However, if (h, k) is equals to (0, 0), the equation of circle becomes:
x² + y² = r²
Which is similar to the fist equation
x² + y² = 3²
Hence first equation is a circle.
As the second equation is a linear equation, it is simply a line.
We know that a line passing through the circle can intersect it at only 2 points.
Where points of intersection between both circle and line shows the solution.
So.
There are 2 possible solution to this set of equations
Answer:
(1,-1)
Step-by-step explanation:
7% of 18 = (7/100)*18 = 0.07*18 = 1.26
The amount of sales tax to be paid is $1.26
Add this onto the original amount of $18 to get 18+1.26 = 19.26
So she will have enough money (since 19.26 is smaller than 20). The amount of change Torri will get is 74 cents (20-19.26 = 0.74 dollars = 74 cents)
Answer:
(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
Step-by-step explanation:
Given the rectangular coordinate
(2√3,-2)
x = 2√3
y = 2
For polar coordinate;
x =r cos theta
y = rsin theta
r = √x²+y²
r = √(2√3)²+(-2)²
r = √4(3) + 4
r = √12+4
r = 4
theta = arctan(y/x)
theta = arctan(-2/2√3)
theta = arctan(-1/√3)
theta = -30
theta = 180 - 30
theta = 150degrees
x = 4cos 150
y = 4sin150
The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
The polar coordinates of the point are