Answer:
281.25 cm^2
Step-by-step explanation:
Given that,
The scale factor of Two similar triangles = 5:2
Area of the smaller rectangle = 45 cm^2
To find,
The Area of the larger rectangle = ?
Procedure:
As we know, similar triangles have similar ratios of sides. Thus, this can be written in proportion with the sides' ratio to the left while ratio of areas on the right.
(5)^2/(2)^2 = a/45
∵ The area of the larger rectangle = 25/4 * 45
= 281.25 cm^2
Answer:
The radius is 5 in
Step-by-step explanation:
The area of a circle is given by the formula
A = pi *r^2
We know the area = 78.5 in^2 (volume would be in^3 area is in^2)
78.5 = 3.14*r^2
Divide each side by 3.14
78.5/3.14 = 3.14/3.14*r^2
25 = r^2
Take the square root of each side
sqrt(25) sqrt(r^2)
5 =r
Answer:
C. Positive Correlation
Step-by-Step explanation
Because a positive correlation is a relationship between two variables that move in tandem—that is, in the same direction.
26+30+45+43+26+14+28+33+56+29 = 330
330/10 (numbers) = 33!
Answer:
{x,y} = {3/7,-43/7}
Step-by-step explanation:
System of Linear Equations entered :
[1] x + 3y = -18
[2] -x + 4y = -25
Graphic Representation of the Equations :
3y + x = -18 4y - x = -25
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -3y - 18
// Plug this in for variable x in equation [2]
[2] -(-3y-18) + 4y = -25
[2] 7y = -43
// Solve equation [2] for the variable y
[2] 7y = - 43
[2] y = - 43/7
// By now we know this much :
x = -3y-18
y = -43/7
// Use the y value to solve for x
x = -3(-43/7)-18 = 3/7
Solution :
{x,y} = {3/7,-43/7}
