Answer:
a). V
= 14.6208 litres : b). = 0.29844 Litres/sec
Step-by-step explanation:
a).
Step 1.
Volume when one half of rod is inserted = (50/2)*(2.2) = 55cm³
Step 2.
As we know that,
V = (ρV
IΔT)
/ (ρL
)
where = 290 - 4.2 = 285.8K
sepecififc heat of aluminum = 0.215 cal/g
density = 2.7 g/cm3
= (2.7)*(55)*(0.215)*(285.8) / (0.125)*(20900)*(1/4186)
V = 14.6208 litres
b).
Step 1.
As we know that
P = kA(dT/dx) = 31*2.2*[(290-4.2)/25]
= 779.6624 W
Step 2.
Now, approximate boil rate of helium is:
P/ρL= [(779.6624)*(10^3g/kg)] / [(0.125)*(20900)]
= 0.29844 Litres/sec
Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
Answer:
Independent variable = number of bub (b)
Dependent variable = total cost (c)
Equation: c = $1.25b + $10
Timothy would spend: $20
Step-by-step explanation:
Total cost = c
Number of bub = b
✔️Total cost, c, is dependent on the number of bub, b.
Therefore:
Independent variable = number of bub (b)
Dependent variable = total cost (c)
✔️Equation that describes this situation can be written as:
c = $1.25b + $10
✔️If Timorhy buys 8 bubs, he would spend the following:
Substitute b = 8 into c = $1.25b + $10, and solve for c.
c = $1.25(8) + $10
c = $10 + $10
c = $20
Answer:
A angle 7 is 6 inches
B angle 8 is 7 inches and 5 inches wide
C angle 3 is an obtuse angle, 6 inches and 9 inches wide
Levant will receive about 9 american dollars when he exchanges his pesos.
According to this question, 1 american dollar is worth about 11 pesos. In order to find that, you need to divide 3000/270 which gives you around 11. In order to find out how many dollars he will receive for his pesos, you need to divide 100 by 11 which gives you about 9 dollars.
