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xz_007 [3.2K]
3 years ago
12

Need help ASAP!! thank you sorry if u can’t see it good :(

Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

Answer/Step-by-step explanation:

==>Given:

=>Rectangular Pyramid:

L = 5mm

W = 3mm

H = 4mm

=>Rectangular prism:

L = 5mm

W = 3mm

H = 4mm

==>Required:

a. Volume of pyramid:

Formula for calculating volume of a rectangular pyramid us given as L*W*H

V = 5*3*4

V = 60 mm³

b. Volume of prism = ⅓*L*W*H

thus,

Volume of rectangular prism given = ⅓*5*3*4

= ⅓*60

= 20mm³

c. Volume of the prism = ⅓ x volume of the pyramid

Thus, 20 = ⅓ × 60

As we can observe from our calculation of the solid shapes given, the equation written above is true for all rectangular prism and rectangular pyramid of the same length, width and height.

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Marla draws a diagonal in a rhombus to form two triangles. What term can she use to classify each triangle?
Scilla [17]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
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LaTasha was presented with the following data set and argued that there was no correlation between x and y. Is LaTasha correct?
andrezito [222]

Answer:

LaTasha is correct. There is no correlation between x and y. The slope of the line of best fit is zero, which shows that there is no negative or positive correlation.

8 0
3 years ago
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Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical express
ruslelena [56]

Answer:

The answer is

<h2>\sqrt{85}  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,-7) and (8,-9)

The distance between them is

d =  \sqrt{( { - 1 - 8})^{2}  +  ({ - 7 + 9})^{2} }  \\  =  \sqrt{ ({  - 9})^{2} +  {2}^{2}  }  \\  =  \sqrt{81 + 4}

We have the final answer as

\sqrt{85}  \:  \:  \: units

Hope this helps you

3 0
3 years ago
A city park commission received a donation of playground equipment from a parents' organization. The area of the playground need
dalvyx [7]

Answer:

Length = 20.49 yards and Width = 12.49 yards.

Step-by-step explanation:

The area of the rectangular playground is given by 256 yards square. It is also known that one of the sides of the playground is 8 yards longer than the other side. Therefore, let the smaller side by x yards. Then the longer side will be (x+8) yards. The area of the rectangle is given by:

Area of the rectangle = length * width.

256 = x*(x+8)

x^2 + 8x = 256. Applying the completing the square method gives:

(x)^2 + 2(x)(4) + (4)^2 = 256 + 16

(x+4)^2 = 272. Taking square root on both sides gives:

x+4 = 16.49 or x+4 = -16.49 (to the nearest 2 decimal places).

x = 12.49 or x = -20.49.

Since length cannot be negative, therefore x = 12.49 yards.

Since smaller side = x yards, thus smaller side = 12.49 yards.

Since larger side = (x+8) yards, thus larger side = 12.49+8 = 20.49 yards.

Thus, the length and the width to minimize the perimeter of fencing is 20.49 yards and 12.49 yards respectively!!!

7 0
3 years ago
Which of the following is the length of the<br> altitude a of the equilateral triangle below?
maria [59]

Answer:

A) \sqrt{3}

Step-by-step explanation:

in a 30-60-90 triangle the sides, respectively, are in the ratio of 1 : \sqrt{3} : 2

3 0
2 years ago
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