Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5
Answer:
The height of deepness of submarine is 424.1 feet
Step-by-step explanation:
Given as :
The angle at which submarine drives of the surface of water = Ф = 13°
The speed at which submarine travel = s = 760 feet per minute
Let The height of deepness of submarine = h feet
The time taken to reach that deepness = t = 5 minutes
<u>According to question</u>
The height of deepness of submarine =
i.e h × cos(90 - Ф) =
Or, h × Sin(Ф) =
Or, h × Sin(13°) = 95 feet
Or, h × 0.224 = 95 feet
∴ h =
i.e h = 424.10 feet
So, The height of deepness of submarine = h = 424.10 feet
Hence, The height of deepness of submarine is 424.1 feet Answer
the cost of labour per hour is $7.20
the cost of raw materials per pound is $11.60
Explanation:For product one:
time = 5 hours of labour
let the cost labour per hour = x
Amount = 3 pounds of raw amterials
let the cost of one pound raw material = y
Cost to produce each product = $70.8
The equation:
time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product
5(x) + 3(y) = 70.80
For product 2:
time = 3.5 hours of labour
let the cost of labour per hour = x
Amount = 13 pounds of raw amterials
let the cost of one pound raw material = y
Cost to produce each product = $176.00
The equation:
time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product
3.5(x) + 13(y) = 176
combining both equations:
5x + 3y = 70.8 ...(1)
3.5x + 13y = 176 ....(2)
Using elimination method:
To eliminate y, we will multiply equation (1) by 13 and equation (2) by 3 so that both coefficient of y become the same
65x + 39y = 920.4 ...(*1)
10.5x + 39y = 528 ...(2*)
subtract equation (2*) from (1*):
65x - 10.5x + 39y - 39y = 920.4 - 528
54.5x + 0 = 392.4
54.5x = 392.4
divide both sides by 54.5:
x = 392.4/54.5
x = 7.2
substitute for x in any of the equations
Using equation 1: 5x + 3y = 70.8
Hence, the cost of labour per hour is $7.20 and the cost of raw materials per pound is $11.60
