Answer:
Step-by-step explanation:
6.
volume of a pyramid=1/3×base area×height
24=1/3×9×h
h=24/3=8 ft
Answer:
about 41.9 square inches
Step-by-step explanation:
The area of a sector of radius r and central angle α is given by ...
A = (1/2)r^2·α
where α is in radians.
The angle 75° is equivalent to 75°·(π/180°) = 5π/12 radians, so the area is ...
A = (1/2)(8 in)^2·(5/12)·3.14 = (40/3)·3.14 in^2 = 41.86_6 in^2 ≈ 41.9 in^2
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<em>Comment on the precision of the answer</em>
The use of a 3-significant-digit value for pi means that the answer must be rounded to 3 significant digits. If the 8-inch value for radius is really only accurate to ±1/2 inch, then the answer must be rounded to 1 significant digit: 40 in^2.
Answer:
Myra swims for 3 miles.
Step-by-step explanation:
3/5 = 6/10
2 4/10 + 6/10 = 3
Answer:
see below (I hope this helps!)
Step-by-step explanation:
Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.