Answer:
Step-by-step explanation:
Considering the given triangle SHX, to determine SH, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
SH/SinX = HX/SinS = SX/SinH
The sum of the angles in a triangle is 180°. Therefore,
X = 180 - (66 + 61) = 53°
Therefore
SH/Sin 53 = 22/Sin 66
Cross multiplying, it becomes
SHSin66 = 22Sin53
0.914SH = 22 × 0.799
0.914SH = 17.578
SH = 17.578/0.914
SH = 19.2
Answer:
<h2>x¹⁶y²²</h2><h2 />
Step-by-step explanation:
(x⁶ y⁸)³/ x²y² = (x⁶ˣ³ y⁸ˣ³)/ x²y²
= (x¹⁸ y²⁴)/(x²y²)
= x¹⁶y²²
Answer:
-sin x
Step-by-step explanation:
sin(3π/3+x)=sin (π+x)=-sin x
or
sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x
Answer:
14400 boxes
Step-by-step explanation:
After looking at this question you would first see that it is looking for how many cuboids can fit into the container. That would mean that the final equation should be the volume of container divided by the volume of the cuboid.
First, we can find the volume of the container. Keep in mind that the volume of a rectangular prism is V=Bh (which means area of the base times the height)
For the base we would do (600)(200) which is 120000
Next, the height is 300, so we would times that by 120000 (which is 36000000)
Moving on to the cuboid!
We would do the same process, but with smaller units.
(same equation) V=Bh
B= (50)(20)
=100
(100)(25)=2500
Lastly, like mentioned in the beginning, take the volume of the container and divide by the volume of the cuboid.
36000000/2500=14400
Therefore, 14400 boxes can fit into this container!
Hope this helps! :)
Answer:
C = 12.
Step-by-step explanation:
Given :-
- Radius of circle , r = 2.
- Value of pi, π = 3
To find :-
Formula for finding circumference of circle;
Circumference of circle = 2 × π × radius.
<u>Solution :-</u>
Circumference of circle = 2 × π × radius.
- Substitute the value of radius into the formula.
Circumference of circle = 2 × π × 2
Circumference of circle = 4 π.
Circumference of circle = 4 × 3
Circumference of circle = 12
