Answer:
-8/45
Step-by-step explanation:
we can solve a/b by plugging in the given values and we have the new expression:
4/5 / -9/2
to solve, we can use multiply the two fractions together using KCF which stands for: Keep Change Flip. we keep the first fraction as is, change the division sign into a multiplication, and flip the 2nd fraction to its reciprocal (numerator becomes denominator and denominator becomes numerator)
4/5 / -9/2 becomes:
4/5 × 2/-9 < simply multiply the fraction
4 × 2 = 8
5 × -9 = -45
8/-45 is our new fraction. we cannot simplify this any further so this is our answer which can also be written as -8/45
9514 1404 393
Answer:
1.67 m, 8.33 m
Step-by-step explanation:
If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...
1 : (1+5) = 1 : 6
The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.
The lengths of the pieces are 8.33 m and 1.67 m.
Answer:
2x - 2y = -8
x + 2y = -1
3x = -9
x = -3
-3 + 2y = -1
2y = 2
y = 1
(-3, 1) is the solution
Step-by-step explanation:
Answer:
BA = 25π,
LA = 25√2π,
TA = 25π + 25√2π,
V = 41 and 2 / 3π
Step-by-step explanation:
We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,
( Height = 5 inches = Radius
______
Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "
- Base Area = 25π
______
The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula,
-
- Lateral Area = 25√2π
______
And the surface area is the base area + lateral area -
- Surface Area
______
The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -
- Volume = 41 and 2 / 3π
Answer:
C)
Step-by-step explanation:
- π can be added to π to get a rational number
π + (-π) = 0
0 is a rational number