Okay, I can exactly show my work. but you can answer this by counting the muber of spaces between points A and C. So the answer should be A 13, my bud.
Let S = spoon
Let K = knife
1 knife is thee times the cost of a spoon, so it would be 3S
Now you have 9S + 12K = 82.80
We can replace the K with 3S:
9S +12(3S) = 82.80
Simplify the left side:
9S + 36S = 82.80
Add:
45S = 82.80
Divide both sides by 45"
S = 82.80 / 45
S = 1.84
One spoon cost $1.84
We know one knife cost 3 times as much, so multiply the cost of a spoon by 3:
Knife = 1.84 x 3 = $5.52
Answer: Sin0 = 8/8.5
Step-by-step explanation: What we have is a right angled triangle, with two sides given and one angle which is the reference angle (unknown angle).
The Sine of the angle is calculated as
Sin0 = opposite/hypotenuse
We have the opposite side (facing the reference angle) as 8 units and the hypotenuse (facing the right angle unknown), which we shall label as X.
To calculate the hypotenuse, we shall apply the Pythagoras theorem which is,
X² = 3² + 8²
X² = 9 + 64
X² = 73
Adding the square root sign to both sides of the equation, we now have
X = √73
X = 8.5 (approximately)
Now that we have the hypotenuse as 8.5, the Sine of the angle can now be calculated as
Sin0 = opposite/hypotenuse
Sin0 = 8/8.5
If you are saying 657/3 its 219 but 3/657 is 0.00456621004
Answer:
Decrease in temperature = 4.6714°C
Step-by-step explanation:
We know that the formula fro deflection is:
δ = PL/AE + LαΔT
As deflection is equal to zero in this case, the formula becomes
ΔT = -P/αAE -------------- equation (1)
Now,
we see that only vertical force acting is weight
W = mg = 100*9.81
W = 981N = ∑
where 1N = 1kgm/s²
Now,
for horizontal forces
As we know that, Sum of all horizontal forces = 0
P - μN = 0
P - μW = 0
P = μW
P = 0.6 * 981
P = 588.8N or 589N
Now we need to calculate the area
area = width * thickness = 20 * 3
area = 60 mm²
Now by substituting all these values in equation 1, wee get
ΔT = -P/αAE = - 588.6/(20*10⁻⁶*60*10⁻⁶*105*10⁹)
ΔT = - 4.6714°C (negative sign indicates decrease)
