ABCDEFGH is a rectangular prism with CD=5, AD=6, and AE=8. Find the volume of tetrahedron ABCF.
2 answers:
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How to solve 7-10: if a coordinate (x, y) is on the line, then f(x) = y.
7. Since x is 6, look at the graph, which shows that y (or f(x)) is 4. (look at picture)
8. Same thing as 7. you will see that f(x) is 15.
9. The other way around. since we know y = 2, looking at the graph shows us that x = 3.
10. Repeat process of 9. x = 10.
How to solve 11 + 12: slope formula (rise-over-run)
11. (14-4)/(12-6) = 10/6 = 5/3.
12. (16-14)/(18-12) = 2/6 = 1/3.
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Answer:
x = 56.25
Step-by-step explanation:
The sides of the rectangle are in the ratio 3:4, so those together with the diagonal of the rectangle make a 3-4-5 right triangle. The sum of these adjacent-side ratio units is 3+4 = 7, so the perimeter in ratio units is 2×7 = 14. The actual perimeter is 42 inches, so each ratio unit must stand for ...
(42 in)/(14 units) = 3 in/unit
The diagonal of the rectangle is the diameter of the circle. Its length is 5 units, or ...
(5 units)×(3 in/unit) = 15 inches.
Then the radius is half the diameter, or 7.5 inches.
The area of a circle is given by ...
A = πr² = π(7.5 in)² = 56.25π in²
The value of x is 56.25.
<h3>Question:</h3><h3>•Find the prime factorization of 35.</h3>
Answer:
•The Prime Factors of 35 are 1, 5, 7, 35 and its Factors in Pairs are (1, 35) and (5, 7).
<h3>Explanation:</h3>#Let's Study
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