Perimeter is the sum of the lengths of all sides on any given shape. In this case, we know that since the triangle is isosceles, two sides must be the same (in a triangle, two of the same angles will produce two of the same sides opposite of the angles). However, there can not be two 2 inch long sides. Think of this logically; If you had two sides of 2 inches connected to a 5 inch long side, no matter what angle you pull those 2 inch sides down, the maximum it could reach is close to their cumulative sum, or around 4 inches. Since 4 inches isn't long enough to reach above 5 inches, then the only possibility for the side lengths is 5 inches + 5 inches + 2 inches. Thus, the perimeter is 12 inches.
Answer:
You can view a kite as 4 triangles
Step-by-step explanation:
A geometric kite can easily be viewed as 4 triangles. The formula to calculate the area of a kite (width x height)/2 is very similar to the one of a triangle (base x height)/2.
According to the formula to calculate the area of a kite, we would get:
(36 x 30)/2 = 540.
If we take the approach of using 4 triangles, we could imagine a shape formed by 4 triangles measuring 18 inches wide with a height of 15.
The area of each triangle would then be: (18 x 15)/2 = 135
If we multiply this 135 by 4... we get 540.
Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
Answer:
Option (1)
Step-by-step explanation:
Fastest time recorded = 50 yards dash is 5.2 seconds.
To convert this time into the rate of miles per hour, expression to be used will be,
By cancelling common term in the numerator and denominator in the given expression we will get the answer in miles per hour.
Therefore, Option (1) will be the correct option.
Answer:
3xy2
Step-by-step explanation:
GCF is the largest factors which are common in two or more numbers.
We find the GCF of two or more number number by breaking each number into their factor and then observe which factors are common in the group and then we multiple the common number to get the GCF.
Lets understand this by an example
GCF of 24 and 36
factors of 12 = 2*2*2*3 , factors of 36 = 2*2*3*3
hence we see that 2,2 and 3 are common in 12 and 36 hence
GCF will be 2*2*3 = 12
Coming back to problem
given
Expression 1 is 3xy^2
factor of 3xy^2 = 3*x*y*y
Expression 2 is 42xy4
factor of 42xy4 = 2*3*7*x*y*y*y*y
common factor between the two expressions are
3, x, y , y
hence GCF will be = 3*x*y*y =3xy2 Answer
