Answer:
a) x = 24
b) x = 20
Step-by-step explanation:
a) x÷3 - 2 = 6
+2 +2
x÷3 = 8
×3 ×3
8 × 3 = 24
x = 24
b) x÷5 + 1 = 5
-1 -1
x÷5 = 4
×5 ×5
4 × 5 = 20
x = 24
Answer:
x =
, y = 6
Step-by-step explanation:
5x + y = 7 → (1)
20x + 2 = y → (2)
Substitute y = 20x + 2 into (1)
5x + 20x + 2 = 7
25x + 2 = 7 ( subtract 2 from both sides )
25x = 5 ( divide both sides by 25 )
x =
= 
Substitute this value into (2) and evaluate
20(
) + 2 = y
4 + 2 = y , so
y = 6
Area = [radius^2 * 5 * sine (360/5)] / 2
area = [64 * 5 * 0.95106] / 2
area =
<span>
<span>
<span>
152.1696
</span>
</span>
</span>
Answer:
a
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = πr²h ( r is the base radius and h the perpendicular height )
To calculate the height h use the right triangle formed by the radius and the inclined side.
Given diameter = 22, then r = 22 ÷ 2 = 11 cm
Using Pythagoras' identity on the right triangle, then
h² + 11² = 61² , that is
h² + 121 = 3721 ( subtract 121 from both sides )
h² = 3600 ( take the square root of both sides )
h =
= 60
Thus
V = π × 11² × 60
= 3.14 × 121 × 60 ≈ 22796.4 cm³ → a
Answer:
2 raisins.
Step-by-step explanation:
Let x represent total number of required ingredient.
We have been given that Ren finds 6 peanuts, 4 raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix. We are asked to find of which ingredient Ren will have 2 pieces for a total of 9 pieces.
First of all, we will find total number of ingredients by adding each ingredient as:


Now, we will use ratio to solve for our given problem as:





Since there are 4 raisins, therefore, for every 9 pieces in Ren's handful of trail mix there are 2 raisins.