Helpppp meee pleaseee!!!! Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the
dimensions shown below. Use the drop-down menus to explain how to determine the volume of the paperweight.
2 answers:
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Answer:
384π cm³
Step-by-step explanation:
Formula for the volume of a cone is where:—
- r is radius
- h is height
Our radius is given in an attachment which is 12 cm and height is 8 cm. Substitute these values in the formula:—
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<u>Summary</u>
<u>Volume (Cone)</u>
where:—
h is height or perpendicular.
r is radius.
<u>Value of Pi (Commonly Used)</u>
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If you have any questions regarding this problem or need clarification for my answer or explanation, do not hesitate to ask in comment! Good luck on your assignment and have a great day!
<u>Given:</u>
A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.
<u>To find:</u>
The length of the zip line where there is no rider.
<u>Solution:</u>
A right-angled triangle can be formed using the given data.
The difference in height between the start and end of the zipline is . The angle of the triangle is 85°.
Assume the zip line is x feet long.
The adjacent side of the triangle measures 17 feet, the hypotenuse of the triangle measures x feet, and the angle of the triangle is 85°.
To determine x, we calculate the cos of the given angle.
Rounding this off, we get the length of the zip line when there is no rider is 195.18 feet long.
Answer:
The last choice is your answer
Step-by-step explanation:
Plot your point in an x/y coordinate plane. We are in QII where x is negative and y is positive. From that point, if you drop an altitude to the negative x axis, you have a right triangle with a base measure of -2, a height of 5 and a hypotenuse that is unknown as of right now. We will find it using Pythagorean's Theorem.
The length of the hypotenuse is √29. That means that the cosine of that angle is the side adjacent over the hypotenuse. Rationalizing the denominator gives us