Answer:
13 cases
Step-by-step explanation:
we know that
You have 1 case of soap bars
There are 150 bars in a case
You use 300 bars of soap per day ----> 2 cases per day
using proportion
Find how many cases do you need to order to have enough for 7 days
Let
x ----->the number of cases
2/1=x/7
x=2*7=14 cases
but remember that you have 1 case
so
you needed 14-1=13 cases
Answer:
both angle will be 45°.
let the same angle be x.
90°+x+x=180°[angle sum property]
90°+2x=180°
2x=180°-90°
2x=90°
x=90°/2
x=45°
so, other angles are 45° and 45°
1. Area of the first figure;
Area of the quarter circle = 1/4 πr²
= 1/4π 12²
= 36π cm²
Area of the triangle = 1/2×base×height
= 1/2 × 12×12
= 72 cm²
Thus the area of the region
= (36π-72) cm²
2. Perimeter of the first figure
The length of the arc AC is 2πr/4
= 2π×12/4
= 6π cm
the length of line AC
√(12² +12²) = 16.97
Thus the perimeter of the figure
= (6π+16.97) cm
3. The are of figure 2
Area of the semi circle πr²/2
= 12²π/2 = 72π cm²
The area of the square
= 24 × 24 =576 cm²
Area of the semi circle = 72 π cm²
Thus the area of the part of the square
= (576-72π) cm²
total area
72π +576-72π
= 576 cm²
4. Perimeter of figure 2
The length of arc AD = (2πr)/2
= 2π×12/2 = 12π cm
but length of arc AD is equal to that of arc BC
Thus arc BC = 12πcm
Therefore, total perimeter
= 12π +12π +24 +24
= (24π +48) cm
5 cubes, each have six sides containing different numbers = 6⁵ = 7,776
Answer: 7,776 total possible outcomes