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nevsk [136]
3 years ago
6

which graph represents a line with a slope of -2/3 and a u intercept equal to that of theme u =2/3×-2​

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

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The answer is 1224. You do 70.5 + 65.5, divided by two, then you take that answer and multiply by 18 to get 1224
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Jenny drew a figure in art class. Does it have rotational symmetry? If yes, what is the angle of rotation.
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Answer:

60°

Step-by-step explanation:

Jenny drew a figure in art school and the figure is shown in the attached diagram.  

The diagram is a regular hexagon and it has rotational symmetry.  

Two of its sides is placed parallel to the x-axis.

Therefore, by rotating 60° the adjacent sides will become parallel to the x-axis and the figure remains the same and symmetric with respect to the coordinate axes. (Answer)

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Analyze the diagram below and complete the instructions that follow.
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A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi
Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

\text{Volume of the cyllinder}= \pi r^2h

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h

Substitute the values,

\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3

                                  = \dfrac{4}{3}\pi r^3\\\\=  \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water =  Volume of the cylinder - Volume of the sphere

                                   = 1696.46 - 113.097

                                   = 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

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2 years ago
Restrictions for 9/2x, 5x/8
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Answer: hummmm let me think it is 14x    40x

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