Answer:
240 m³
Explanation:
The volume of a pyramid is equal to:

Where B is the area of the base and H is the height of the pyramid.
Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

Therefore, the volume is 240 m³
Answer:
1st scenario: 163.3°
2nd scenario: 125.2°
3rd scenario: 142.3°
Step-by-step explanation:
1st scenario: angles 1 and 2 form a linear pair and add up to 180
2nd scenario: angles 1 and 4 are same-side interior and add up to 180
3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3
this question is meaningles
Answer: Last option.
Step-by-step explanation:
Given the equation:

Follow these steps to solve it:
- Subtract the fractions on the left side of the equation:

- Using the Difference of squares formula (
) we can simplify the denominator of the right side of the equation:

- Multiply both sides of the equation by
and simplify:

- Multiply both sides by
:

- Apply Distributive property and simplify:

- Divide both sides of the equation by -6:

- Factor the equation and solve for "m":

In order to verify it, you must substitute
into the equation and solve it:

<em>NO SOLUTION</em>
Answer:
≈ 660.5 in²
Step-by-step explanation:
The surface area (A) of a sphere is calculated using the formula
A = 4πr² ← r is the radius
Given diameter = 14. 5 then radius = 7.25, thus
A = 4π × 7.25² = 4π × 52.5625 ≈ 660.5 in²