Which statement about y = 3x2 + 11x + 6 is true?
1 answer:
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Answer:
The correct answer is option b)
50a+10b<1000; 200a+360b < 7200; a> 0; b>0
Step-by-step explanation:
We are given that Two kind of crated cargo namely A and B to be shipped by truck.
<u>Cargo A:</u>
Volume of each crate of cargo A = 50 cubic ft
Weight of each crate of cargo A = 200 pounds
Let number of crates of cargo A to be shipped = a
Total volume of 'a' crates of cargo A = 50a cubic ft
Total weight of 'a' crates of cargo A = 200a pounds
<u>Cargo B:</u>
Volume of each crate of cargo B = 10 cubic ft
Weight of each crate of cargo B = 360 pounds
Let number of crates of cargo B to be shipped = b
Total volume of 'b' crates of cargo B = 10b cubic ft
Total weight of 'b' crates of cargo B = 360b
Total volume allowed in the truck is 1000 cubic ft
Total volume of 'a' crates of Cargo A and Total volume of 'b' crates of Cargo B = 50a+10b cubic ft (This sum should be less than volume of truck so that it can fit in the truck)
So, the inequality becomes
....... (1)
Total weight allowed (load limit) in the truck is 7200 pounds
Total weight of 'a' crates of Cargo A and Total weight of 'b' crates of Cargo B = 200a+360b cubic ft (This sum should be less than volume of truck so that it can fit in the truck)
So, the inequality becomes
....... (1)
And number of crates of cargo A and B are always a positive number.
So, a > 0 and b > 0.
So, the correct answer is option b.
<em>b. 50a+10b<1000; 200a+360b < 7200; a> 0; b>0</em>
Answer:
The height of the tower = 420.48 meters
Step-by-step explanation:
For better understanding of the solution, see the figure attached below :
Let the height of the tower be x meters
Now, using the laws of reflection : angle of reflection = angle of incidence
Also, both the tower and the tourist are standing parallel to each other
⇒ ∠A = ∠i ( Alternate interior angles are equal)
Similarly, ∠D = ∠r ( Alternate interior angles)
But, ∠i = ∠r
⇒ ∠A = ∠D
Also, the tourist and the tower is perpendicular to the ground surface.
⇒ m∠B = m∠E = 90°
Now, in ΔABC and ΔDEC
∠A = ∠D (Proved above)
m∠B = m∠E = 90°
So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC
As the sides of similar triangles are proportional to each other
Hence, The height of the tower = 420.48 meters
Let's first find out their factors.
90's factors are :
190's factors are :
The common factors of 90 and 190 are :
1,2,5 and 10.
The greatest one among these is, 10. So the greatest factor of 90 and 190 is 10.
90's factors are :
190's factors are :
The common factors of 90 and 190 are :
1,2,5 and 10.
The greatest one among these is, 10. So the greatest factor of 90 and 190 is 10.