Answer:1
1. 
2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°
Step-by-step explanation:
It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°
We know this using the formula
, a 4 sided figures angles will add up to
This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.
Combine like terms:
Divide both sides by 12:
We know now substitute x for 30 in for all of the side lengths.
∠ABC = 4x = 
°
∠BCD = 3x = 
°
∠CDA = 2x = 
°
∠DAB = 3x = °
Hope this helped!
Answer:
Step-by-step explanation:
(4/3) * 18 * 1/5 is easier to calculate. 4(1/3)18 is the same as 4*6, or 24.
Then 24 * 1/5 is 24/5, which is the final answer as an improper fraction.
24/5 = 4 4/5 is an alternative form.
Next time, please share the answer choices. Thank you.
Answer:
B. 10
Step-by-step explanation:
Answer:
Based on the model produced by the scatterplot, log of stock prices is calculated from the scatter plot and 10 is raised to the power of the result to obtain the estimated stock price. Hence, a reasonable estimate for the stock price would be ; $185.05
From the scatter plot model :
Week number, x = 95
log y = 0.0022(95) + 2.0583
log y = 2.2673
y = estimated stock price
Raise the power of both sides to the power of 10
Therefore, a reasonble estimate for the stock price would be $185.05
ANSWER = C
Answer: Work done by the particle is 78 N.
Step-by-step explanation:
If C is the path the particle follows, then work done is 
.
According to the question the force 
and all four points are in the plane 
.
therefore, if S is the at surface with boundary C, so that S is the portion of the plane over the rectangle D=[0,2]\times [0,4].
Now,
By the Stoke's theorem:
![\int_{C}^{}F.dx=\iint_{s}^{}curlF.dS\\\\=\iint_{D}^{}[-8y(0)-2z\left ( \frac{1}{4} \right )+5y]dA\\\\=\iint_{D}^{}\left ( -\frac{1}{2}z+5y \right )dA](https://tex.z-dn.net/?f=%5Cint_%7BC%7D%5E%7B%7DF.dx%3D%5Ciint_%7Bs%7D%5E%7B%7DcurlF.dS%5C%5C%5C%5C%3D%5Ciint_%7BD%7D%5E%7B%7D%5B-8y%280%29-2z%5Cleft%20%28%20%5Cfrac%7B1%7D%7B4%7D%20%5Cright%20%29%2B5y%5DdA%5C%5C%5C%5C%3D%5Ciint_%7BD%7D%5E%7B%7D%5Cleft%20%28%20-%5Cfrac%7B1%7D%7B2%7Dz%2B5y%20%5Cright%20%29dA)
![\int_{0}^{2}\left [ \frac{39}{16}y^2 \right ]_{0}^{4}dx\\\\=\int_{0}^{2}39\, \, dx\\\\=39\times 2\\\\=78 \, N](https://tex.z-dn.net/?f=%5Cint_%7B0%7D%5E%7B2%7D%5Cleft%20%5B%20%5Cfrac%7B39%7D%7B16%7Dy%5E2%20%5Cright%20%5D_%7B0%7D%5E%7B4%7Ddx%5C%5C%5C%5C%3D%5Cint_%7B0%7D%5E%7B2%7D39%5C%2C%20%5C%2C%20%20dx%5C%5C%5C%5C%3D39%5Ctimes%202%5C%5C%5C%5C%3D78%20%5C%2C%20N)
