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vovikov84 [41]
3 years ago
10

PLEASE HELP ME!!!!!! WILL MARK BRAINLEAST

Mathematics
2 answers:
Pepsi [2]3 years ago
4 0

Answer:

3. None of the above ; 4. Equiangular

Step-by-step explanation:

Question 3. Pentagon.

A is <em>wrong</em>. The polygon is not equilateral, because AB ≠ AE.

B is <em>wrong</em>. The polygon is not equiangular, because ∠A ≠ ∠E.

C is <em>wrong</em><em>.</em> The polygon is not regular, because it is neither equiangular nor equilateral.

D is correct, because the polygon is none of the above.

Question 4. Quadrilateral

A is <em>wrong</em>, because AB ≠ AD.

B is correct, because every angle is 90°.

C is <em>wrong</em>, because AB ≠ AD.

D is<em> </em><em>wrong</em>, because congruent means equal, and there is no other figure to compare.

Margarita [4]3 years ago
3 0

Answer:

C. Regular

Step-by-step explanation:

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General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of  \; Right \; Rectangular  \; Prism=L \times W \times H\\\{Where  \; L \; is \; Length, \; W \; is \; Width, \;and  \; H \; is \; Height\}

Applying the concept:

Volume of Small Cube:

V_{cube}= (\frac{1}{4}  )^3= \frac{1}{64} \; in^3\\\\V_{Prism}=  3 \frac{3}{4}  \times 5 \times  4 \frac{1}{2}  = \frac{15}{4}  \times \frac{5}{1}  \times \frac{9}{2}  = \frac{675}{8}  \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}}   = \frac{675}{8}  \div \frac{1}{64}  \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1}   = 5400

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

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