Answer:
Divide the numerator by the denominator. Your answer would be the whole number, and the remainder would be your fraction.
I have also clipped a picture from fractionfun.com to make it more clear.
Answer:
Step-by-step explanation:
a) circumference = diameter*pi
so, pi in circle A =25.12/8=3.14
pi in circle B = 9.42/3 =3.14
b) area of the circle =(diameter/2)^2*pi
so pi in circle A = 50.24/(8/2)^2=3.14
pi in circle B = 3.14
C) both the value of circle A and B are equivalent
Answer:
Step-by-step explanation:
A rectangle has 4 sides.
2 of them are lengths and 3 of them are widths.
We can simply use coordinate geometry (without graphing) to find side lengths of the rectangle. We will use Distance Formula.
We can find all the 4 lengths by using Distance Formula from points:
W and X
X and Y
Y and Z
W and Z
Note, that we don't need to find all 4 of them individually, because 2 are lengths (same) and 2 are widths (same). Thus we can find
Distance of WX, which would be same as distance of YZ
also
Distance of XY which would be same as distance of WZ
<em><u>Note:</u></em> Distance Formula is 
where D is the distance, x_1, y_1 is the first coordinate points and x_2,y_2 is the second coordinate points
The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x
<h3>Reflection of functions and coordinates</h3>
Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>
Given the exponential function below
f(x) = 5(0.8)^x
If the function f(x) is reflected over the x-axis, the resulting function will be
-f(x)
This means that we are going to negate the function f(x) as shown;
f(x) = -5(0.8)^x
Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x
Learn more on reflection here: brainly.com/question/1908648
#SPJ1
Answer:
Infinitely many triangles.
Step-by-step explanation:
Given the lengths of two sides are 8 inches and 10 inches.
Let's assume third side = x inches.
Using the Triangle Inequalities given as follows:-
1. a+b > c,
2. b+c > a,
3. c+a > b.
Using the lengths given in the problem, we can write:-
1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.
2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.
3. 8+10 > x ⇔ x < 18.
So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).
Hence, there are infinitely many triangles.
