Answer:
16 students got an A
Step-by-step explanation:
Set up an equation to compare the ratio to the scores:
Cross multiply:
80 = 5x
Divide each side by 5:
x = 16
Now, check if 
16/8 = 2
40/8 = 5
The ratios are the same! Therefore, 16 students got an A!
Hope this helps! Feel free to contact me if you have any questions :)
Answer:
The solution is (3 , 1)
Step-by-step explanation:
To solve the system of the equation you can use the elimination method or substitution method.
We will use the substitution method
From the first equation x + 2y = 5⇒get x = 5 - 2y
In the second equation 3x + 5y = 14⇒we will substitute x by 5 - 2y
3(5 - 2y) + 5y =14
15 - 6y + 5y = 14
-6y + 5y = 14 - 15
-y = -1
y = 1
Substitute the value of y in x = 5 - 2y
x = 5 - 2(1) = 5 -2 =3
∴ The solution of the system of equations is (3 , 1)
First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.
Then, the radii of gyration for
x = √[I_x/m]
y = [I_y/m]
where m = k(15-4)² = 121k. Then,
x = y = [4880.33k/121k] = 40.33
I hope I was able to help you. Have a good day.
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Answer:
3. A=B=70°; C=D=110°
4. A=90°; C=48°
Step-by-step explanation:
Same-side angles of a trapezoid add to 180°.
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3. (2x) +(x+15) = 180
3x + 15 = 180 . . . . simplify
x +5 = 60 . . . . . . . divide by 3
x = 55
A=B=(x+15)° = (55+15)° = 70°
C=D=2x° = 2·55° = 110°
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4. You are given the values of one of the angles on each side, so the other can be found by subtraction:
A=180°-D = 90°
C = 180° -132° = 48°
