Please help: Find the volume of the solid. Use 3.14 for π.
1 answer:
Answer:
The volume of the solid is 420m³
Step-by-step explanation:
The area of any pyramid is "1/3 · B · h", where B is the area of the base, and h is the height.
Knowing this we just need to solve for a couple of things.
First, and the easiest is the height of the triangle which (thankfully) is given to us. The height is 15m, which plus one number into our equation.
1/3 · B · 15
Second, we need to find the area of the base of the pyramid. That's done easily by finding the area of a triangle ( →
→
→
) giving us 84 units. This puts another number into our equation.
1/3 · 84 · 15
Now that we have all of the parts to our equation, we can solve it.
1/3 · 84 · 15
1/3 · 1260
420
The volume of the solid is 420m³
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The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
<h3>What is the slope?</h3>The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line m = 4
The slope of the line which is perpendicular to the above line:
M = -1/4 = -0.25
The graph second has a slope of -0.25
y - 2 = -0.25x - 1
y = -0.25x + 1
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
Learn more about the slope here:
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Answer:
Area = 48.6 in²
Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)
This rule is illustrated in the attached image.
Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²
Hope this helps :)
Area = 48.6 in²
Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)
This rule is illustrated in the attached image.
Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²
Hope this helps :)