Triangle PDQ has:
Side "p" is opposite Angle P
Side "d" is opposite Angle D = 45º + 23º = 68º
Side "q" is opposite Angle Q
Use the Law of Cosines:
d² = p² + q² − 2 • p • q • cos(D)
d² = (4.24)² + (4.24)² − 2 • (4.24) • (4.24) • cos(68º)
d² = 2(4.24)² − 2(4.24)² • cos(68º)
d² = 2(4.24)² • [ 1 – cos(68º) ]
<span> d = 4.74 ft
</span>Hope this helps
Answer:
1. Color Change.
2. Production of an odor.
3. Change of Temperature.
4. Evolution of a gas (formation of bubbles)
5. Precipitate (formation of a solid)
Step-by-step explanation:
If you notice, the figure has two hexagonal faces and 6 rectangles.
now the rectangles are just 4x9 each, so their area is just 6(4*9) for all 6.
the hexagons has a
distance from the center perpendicular to a side of 7.8, namely the
apothem is 7.8, and since each side is 9 km long, the perimeter is 9+9+9+9+9+9.
since the area of a regular polygon is (1/2)(apothem)(perimeter), we can simply get the area of those two hexagons and the area of the rectangles, sum them up, and that's the surface area of the hexagonal prism.
Answer:
B. 1788
Step-by-step explanation:
The volume of solid shaped is expressed in cubic yards. The sides of the shape are multiplied or powered as 3 for the volume determination. Volume is the total space covered by the object. It includes height, length, width. The three dimensional objects volume is found by
length * height * width
The volume for current object is :
12 * 28 * 5
= 1788 cubic yards.