Answer: x+7.6=9.6
Step-by-step explanation: x is the unknown number. So the unknown number (or a number) increased by 7.6, which means adding, is, or equals 9.6. hope this helps
The given function is
Here represents the number of rows.
represents the total number of seats in the auditorium.
Now the total seats in the auditorium are 416.
So
Dividing all terms by 2 we get
Subtracting 208 from both sides
Factoring we get
(x-16)(x+13)=0
Using Zero product rule
x - 16= 0 or x+13=0
x= 16 or x = -13
But as x cannot be negative
So x = 16
There are 16 rows in the auditorium if it has a total of 416 seats.
Answer:
50π ≈ 157.08 cubic units
Step-by-step explanation:
The volume of revolution of a plane figure is the product of the area of the figure and the length of the path of revolution of the centroid of that area. The centroid of a triangle is 1/3 the distance from each side to the opposite vertex. (It is the intersection of medians.)
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<h3>length of centroid path</h3>
One side of this triangle is the axis of revolution. Then the radius to the centroid is 1/3 the x-dimension of the triangle, so is 5/3. Then the circumference of the circle along which the centroid is revolved is ...
C = 2πr
C = 2π(5/3) = 10π/3 . . . units
<h3>triangle area</h3>
The area of the triangle is found using the formula ...
A = 1/2bh
A = 1/2(5)(6) = 15 . . . square units
<h3>volume</h3>
The volume is the product of the area and the path length:
V = AC
V = (15)(10π/3) = 50π . . . cubic units
The volume of the solid is 50π ≈ 157.08 cubic units.
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<em>Additional comment</em>
In the attached figure, the point labeled D is the centroid of the triangle. The label has no significance other than being the next after A, B, C were used to label the vertices.
The volume of revolution can also be found using integration and "shell" or "disc" differential volumes. The result is the same.
Is the answer a i might be wrong but eh
It must be an equal ratio- 2:3:7 = n:n:112
Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.
To get from 7 to 112, we must multiply by 16. This is the relationship.
So, we must multiply both, the walnut and raisin cookies by 16 also.
2 x 16 = 32 = Raisin
3 x 16 = 48 = Walnut
Already known: 112 = Pinwheel
Now that we have all the data, we can make the ratio.
Raisin : Walnut : Pinwheel
32 : 48 : 112
Hope this helps! :)