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Klio2033 [76]
3 years ago
11

Jeremy’s puzzle will form a rectangular prism. Figure out how the pieces can all be put together to form a prism. Give the dimen

sions and volume of the prism.
NEED FAST I'M FAILING THIS CLASS
Mathematics
1 answer:
grandymaker [24]3 years ago
4 0

 You can put one figure inside of the other. The figure that is smaller will fit inside of the other figure. Both figures have congruent bases and the same height, so when you put the pyramid inside the prism, their bases overlap exactly. Since the shapes are the same height, the top of the pyramid touches the top of the prism. The pyramid clearly fits inside of the prism, so the volume of the pyramid must be smaller.

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Ivan draws PQR on the coordinate plane.
Ivahew [28]

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

8 0
3 years ago
321
kondaur [170]

Answer: 60 L

Step-by-step explanation:

Given

The measurement of a rectangular vessel is 40\ cm\times 30\ cm\times 50\ cm

If we multiply the given terms then it will give the volume of the rectangular vessel in cm^3.

So, the volume of the rectangular vessel is

\Rightarrow V=60,000\ cm^3

Also, we know 1000\ cm^3=1\ L i.e. to convert  cm^3 to L, divide the result by 1000.

\Rightarrow V=60,000\ cm^3=60\ L

8 0
3 years ago
Write the equation of a line that includes the point (-4,0) and has a slope of -3/5 in slope intercept form
dolphi86 [110]
In "slope-intercept form"
  y = mx +b
the value "m" is called the slope, and the value "b" is called the intercept.

There is another form for the equation of a line, called "point-slope form".
  y = m(x -h) +k
where m is still the slope and (h, k) correspond to the (x, y) of the point.

If you write the equation of your line in this "point-slope form", it is easily manipulated to be in the "slope-intercept form".
Fill in
  m = (-3/5)
  h = -4
  k = 0
y = (-3/5)(x -(-4)) +0

Now, you simplify this by using the distributive property.
  y = (-3/5)x -(3/5)*4
  y = (-3/5)x -12/5 . . . . . . . . . the desired equation

_____
Your understanding of math improves immensely when you become familiar with the terminology. A lot of the rest of it is pattern matching--identifying the parts of one expression that correspond to the parts of another one.

(You will see another version of the "point-slope form", but I find this one the easiest to use for manipulating the equation to other forms.)

5 0
4 years ago
What does it mean when it says an interval of (0, 2pi)?
aliina [53]
When an interval says (0, 2pi). This means all angles ranging from 0 to 2pi with 0 and 2pi not included in the values. The parenthesis means the values in the right or left of it is not included while a bracket is used to indicate the values used as limits are included
4 0
3 years ago
Please help me solve question (d) f(3)+f(-3).
Y_Kistochka [10]
F(3): 6-3(3)=6-9=-3
f(-3): 6-3(-3)=6-(-9)=6+9=15
-3+15=12
5 0
4 years ago
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