Answer:
Volume of square-based pyramid = 96 in³
Step-by-step explanation:
Given:
Base side of square = 6 inch
Height of pyramid = 8 inch
Find:
Volume of square-based pyramid
Computation:
Area of square base = Side x Side
Area of square base = 6 x 6
Area of square base = 36 in²
Volume of square-based pyramid = (1/3)(A)(h)
Volume of square-based pyramid = (1/3)(36)(8)
Volume of square-based pyramid = (1/3)(36)(8)
Volume of square-based pyramid = (12)(8)
Volume of square-based pyramid = 96 in³
Answer:
10 cm.
Step-by-step explanation:
We'll begin by calculating the area of the small bubble. This can be obtained as follow:
Radius (r) = 5 cm
Area (A) =?
Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:
A = πr²
A = π × 5²
A = 25π cm²
Next, we shall determine the total area of the small bubbles. This can be obtained as follow:
Area of 1 bubble = 25π cm²
Therefore,
Area of 4 bubbles = 4 × 25π cm²
Area of 4 bubbles = 100π cm²
Finally, we shall determine the radius of the large bubble. This can be obtained as follow:
Area of large bubble = total area of small bubbles = 100π cm²
Radius (r) =?
A = πr²
100π = πr²
100 = r²
Take the square root of both side
r = √100
r = 10 cm
Thus, the radius of the large bubble is 10 cm
The <em>correct answer</em> is:
$19,153.26.
Explanation:
She will receive 42% of her average annual salary. This salary was $45,603.
To find 42% of a number, we first convert the percent to a decimal: 42% = 42/100 = 0.42.
Next we multiply this by the number we're taking the percent of:
0.42(45603) = 19153.26.
Answer:
n>3
Step-by-step explanation:
Step 1: Add 1 to both sides.
3n−1+1>8+1
3n>9
Step 2: Divide both sides by 3.
3n/3>9/3
n>3
Answer:
x=1
Step-by-step explanation:
1) 6x-5y=5
2) 3x+5y=4
ets perform the following operation
1) +2), This leads to the following equation:
6x+3x-5y+5y=5+4
From where we obtain the solution for x
9x=9
x=1
