Answer:
- m∠C = 43.6°, m∠B = 107.4°, b = 51.2
Step-by-step explanation:
<u>Use the law of sines:</u>
- a / sin ∠A = c / sin ∠C
- 26 / sin 29° = 37 / sin ∠C
- sin ∠C = 37 sin 29° / 26
- sin ∠C = 0.6899
- m∠C = arcsin 0.6899
- m∠C = 43.6°
<u>Find the missing angle:</u>
- m∠B = 180° - 29° - 43.6° = 107.4° (rounded)
<u>Use the law of sines to find the length of b:</u>
- a / sin ∠A = b / sin ∠B
- 26 / sin 29° = b / sin 107.4°
- b = 26 sin 107.4° / sin 29°
- b = 51.2 units (rounded)
Answer:
4
Step-by-step explanation:
The 1st cylinder used to fill the pitcher has:
height:
h = 9 in
radius:
r = r
The volume of a cylinder is given by:
Therefore, the volume of the 1st cylinder is
We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.
Then, we have a second cylinder, which has height
h = 9 in
and radius
r' = 2r
So the volume of this cylinder is
This means that the number of pitchers that can be filled by this 2nd cylinder is
Answer:
5 inches
Step-by-step explanation:
The volume of a cone formula is V = (1/3)(base)(height). Thus, 3V =(base)(ht).
We want to calculate the height of the cone. Divide both sides of
3V =(base)(ht) by (base), obtaining 3V/(base) = ht.
Substituting 12 in^3 for V, and 2.25pi for (base), we get:
12 in^3
------------ = 5.33 in, or, to the nearest inch, 5 inches.
2.25 pi
Note: The diameter of the cone is 3 inches. The area of the base is pi*r^2, so we must divide d = 3 inches by 2 to obtain the radius: 1.5 in. Then r^2 = 2.25 in^2.
PQ is bisected by line <em>L</em>.
so the answer is C
PQ=14
Step-by-step explanation:
5x-3=11-2x
5x+2x=11+3
7x=14
x=2
replace X in any of the given distance equation then multiply by 2 since the distance Pm=Qm
PQ=2(11-2x)
2(11-2(2))
2(7)
Therefore PQ=14
Answer:
find it urself, i give u guide
Step-by-step explanation:
Find the value of the x first
As for now the only info that you have is total of angle in the square is 360°
