Answer:
- 6.04 km (per angle marks)
- 5.36 km (per side hash marks)
Step-by-step explanation:
Going by the angle indicators, the ratios of corresponding sides of the similar triangles are ...
x/2000 = 4200/3500
x = 2000·6/5 = 2400 . . . . yards
Then the distance of interest is ...
(2400 yd + 4200 yd)×(0.0009144 km/yd) = 6.6×.9144 km
= 6.03504 km ≈ 6.04 km
_____
Going by the red hash marks, the ratios of corresponding sides of the similar triangles are ...
x/2000 = 3500/4200
x = 2000·(5/6) = 5000/3 . . . . yards
Then the distance of interest is ...
(5000/3 + 4200) yd × 0.0009144 km/yd ≈ 5.36 km
_____
<em>Comment on the figure</em>
The usual geometry here is that the outside legs (opposite the vertical angles) are parallel, meaning that the angle indicators are the correct marks. It is possible, but unusual, for the red hash marks to be correct and the angle indicators to be mismarked. The red hash marks seem tentatively drawn, so seem like they're more likely to be the incorrect marks.
Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:


We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:



Now, the volume of a sphere is denoted by:
, where r is the radius. From above, we know that
, so we can plug this into the equation:


Thus, the answer is C.
$43.25 (p) = $3762.75 87 people bought a pass
( square root 2) + 2
= 2+ square root 2
I hope that's help ! If you have questions please just let me know
Answer:-2 2/3 < -2.5 < 1.3 < 1 1/2 < 3
Step-by-step explanation: