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tatiyna
4 years ago
13

Find the volume of the solid to the nearest unit.

Mathematics
1 answer:
kondaur [170]4 years ago
6 0
Area of the cross section (Trapezium) : 

1/2 (6 + 11) x 3 = 25.5 cm²

Volume = area x height = 25.5 x 3 = 76.5 cm³
You might be interested in
Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
kupik [55]

Answer:

neither

Step-by-step explanation:

Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8

Slope of the second line: (2-3)/4-(-4) = -1/8

They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,

3 0
3 years ago
There are four roads from A to B and five roads from B to C. In how mamy different ways can a person travel from A to C?
Lelu [443]

That would be 4 * 5 = 20 ways  answer.

3 0
3 years ago
Read 2 more answers
Evaluate the integral. (Use C for the constant of integration.) <br> cos(x) (8 + 7 sin^2(x)) dx
UNO [17]

Answer: 8 \sin x +7(\dfrac{\sin^3x}{3})+C

Step-by-step explanation:

Consider \int \cos(x) (8+7 \sin^2(x)) \, dx

Substitute  t= sinx

then dt = cos x dx

\int \cos(x) (8+7 \sin^2(x)) \, dx = \int (8+7t^2)dt\\\\ =8t+7(\dfrac{t^3}{3})+C

[\int x^ndx=\dfrac{x^{n+1}}{n+1}+C]

=8 \sin x +7(\dfrac{\sin^3x}{3})+C

Hence, \int \cos(x) (8+7 \sin^2(x)) \, dx=8 \sin x +7(\dfrac{\sin^3x}{3})+C

5 0
3 years ago
40 points!! need help asap
Mekhanik [1.2K]

#1.

[4x = -12y + 16 and x + 3y = 4]

One answer


#2.

Here, y = 4x + 3

y - 4x = 3

Multiply by 2,

2y - 8x = 6

Compare with second equation,

6 ≠ 3

In short, System of Equation does not have any solution. [ Option D ]

#3.

2y=6

3x-6y=18

Divide first equation by 2: y=3

Substitute y=3 into second equation: 3x-6(3)=18

Solve for x: 3x=36 x=12

Therefore there is only one solution: x=12 y=3


#4.

y - 7x = -14

7y - 49x = -2

Rewrite the first equation as "y =" so that it can be substituted into the second equation and solve for x.

y = 7x - 14

7(7x - 14) - 49x = -2

49x - 98 - 49x = -2

-98 = -2

Since the variables cancel and the equation is not true there is no solution.

The lines are parallel and will not intersect.  


3 0
4 years ago
What is the value of the expression -10-(-20)
mart [117]

Answer:

10

Step-by-step explanation:

-10-(-20)

A negative and a negative is addition

-10+20=10

5 0
3 years ago
Read 2 more answers
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