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crimeas [40]
3 years ago
13

Find the volume of the figure

Mathematics
1 answer:
mote1985 [20]3 years ago
4 0

Answer:

<h2>V = 1920 cm³</h2>

Step-by-step explanation:

We have two rectangular prisms:

14cm × 8cm × 10cm and 8cm × 10cm × 10cm

The formula of a volume of a rectangular prism l × w × h:

V = lwh

Substitute:

V₁ = (14)(8)(10)=1120 cm³

V₂ = (8)(10)(10) = 800 cm³

The volume of the figure:

V = V₁ + V₂ → V = 1120 + 800 = 1920 cm³

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The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 60. Find x.
lbvjy [14]

Answer:

Perimeter of a triangle = add all sides

Both the legs of the isosceles triangle are always EQUAL.

x+4x-6+4x-6 = 60

9x-12 = 60

9x = 60+12

9x = 72

x = 8

3 0
3 years ago
How many solutions does this equation have?
zhenek [66]
One solution because when you switch the - to the other side it will be positive which will equal one and make it one solution.
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A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The situation is
alisha [4.7K]

Answer: two equations represent the situation are

y = 3x and y = x + 4

Step-by-step explanation:

The smaller number was represented by x and its values on the x coordinate.

The larger number was represented by y and its values on the y coordinate.

The larger number is equal to 3 times a smaller number. This means that

y = 3x

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y = x + 4

4 0
3 years ago
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Hii happy holidays !! any help is appreciated consider the following graph
Rom4ik [11]

9514 1404 393

Answer:

  A, M, N, F

Step-by-step explanation:

I find it easier to look at the graph, rather than mess with the coordinate transformations. Each image point is the same distance from the line of reflection that its pre-image point is. The line joining the two points is perpendicular to the line of reflection.

See attached for the reflected points.

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The red and turquoise dashed lines are the lines y=x and y=-x, respectively. The same-colored arrows show the reflection of the relevant point.

_____

The transformations of interest are ...

  (x, y) ⇒ (y, x) . . . . reflection over y = x

  (x, y) ⇒ (-x, y) . . . . reflection over y-axis

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8 0
3 years ago
A circle with a radius of 15.4 meters. Which statements are true about the circle shown? Check all that apply. The diameter of t
Dafna1 [17]

Step-by-step explanation:

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the diameter is 30.8 m is true.

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the circumference is 30.8pi m is true.

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