Answer:
x =19.2
y=29.8
Step-by-step explanation:
We will use the law of sines to solve this problem
sinA sin B
----------- = -------------
a b
sin 55 sin 40
--------- = ---------------
24.5 x
Using cross products
x sin 55 = 24.5 sin 40
Divide by sin 55
x = 24.5 sin 40 / sin 55
x =19.22512011
To one decimal place
x =19.2
To find the angle opposite y, we know the three angles of a triangle add to 180
y = (180-40-55) = 85
sin 55 sin 85
--------- = ---------------
24.5 y
Using cross products
y sin 55 = 24.5 sin 85
Divide by sin 55
y = 24.5 sin 85 / sin 55
y =29.79516474
To one decimal place
y=29.8
If the two equations in parenthesizes were there own equations which ones would equal 1 and 6
(x-1) or x=1
(3x-1) or x=1/3
3(x-1) or 3x-3 or x=1
Do you understand?
Answer:
2160 BTU
Step-by-step explanation:
Ben looks at his plan and realizes that his building can be viewed as a triangular prism sitting on a cube.
Calculating the volume of a cube is easy… Length x Width x Height (LWH)… so 12 x 10 x 8 = 120 x 8 = 960 cubic feet for the cube part.
For the prism, it’s almost the same… but divided by 2 : (LWH)/2, so… (12 x 10 x 2) / 2 = (120 x 2) / 2 = 240 / 2 = 120 cubic feet for the prism part.
Total for the building : 960 + 120 = 1080 cubic feet
Since 2 BTU per cubic foot, the power of the unit needs to be at least 1080 x 2 = 2160 BTU.
Answer:
3x +3y +3h
that’s the farthest you can solve since you don’t know the variable’s values
Answer:
3/32
Step-by-step explanation:
The first question should be 3/8 as there are 3 "1"s on the spinner. The answer to the last one is "3/32". You take the 3/8 chances to get a one and multiply that by 1/4 to get a "B". Once you multiply you get .09375 which is 3/32 when converted. Please let me know if this is incorrect.
