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Rufina [12.5K]
2 years ago
8

How many sixty fourths would seven eights equal

Mathematics
1 answer:
charle [14.2K]2 years ago
7 0
The answer to your question is that it will equal 56 of them.
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a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar
Margarita [4]
A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)

Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

The lateral faces are equilateral triangles of side length x.

The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18  cm^2.

now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem: 

h= \sqrt{ x^{2} - (x/2)^{2}}= \sqrt{ x^{2}- x^{2}/4}= \sqrt{3x^2/4}= \frac{ \sqrt{3} }{2}x

thus, 

Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2

thus:

x^2 =\frac{18 \cdot 4}{ \sqrt{3}}= \frac{18 \cdot 4 \cdot\  \sqrt{3} }{3}=24 \sqrt{3}       (cm^2)

but x^{2} is exactly the base area, since the base is a square of sidelength = x cm.


So, the total surface area = base area + lateral area =  24 \sqrt{3}+72   cm^2


Answer: 24 \sqrt{3}+72   cm^2

4 0
2 years ago
What are the square roots of 36100?
sleet_krkn [62]

\huge\text{Hey there!}

\large\textsf{What are \bf the square roots of 36,100?}

\mathsf{\sqrt{36,100}=190\times190 = \bold{190}^2}

\mathsf{190^2=36,100}

\mathsf{(- 190)^2=36,100}

\mathsf{190\times190=36,100}

\mathsf{\sqrt{36,100}=\bf 190}

\mathsf{-\sqrt{36,100}=\bf -190}

\boxed{\boxed{\large\text{Answer: \huge \bf -190 and 190}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

8 0
2 years ago
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Which graph shows the equation c=10+3t where c is the the total cost
julia-pushkina [17]

Answer:

Step-by-step explanation:

Please share the possible answer choices next time.

c = 10 + 3t is a linear function with y-intercept (0, 10) and slope 3.

Plot (0, 10).  Starting there, move your pencil point 1 unit to the right and 3 units up.  Plot this new point (1, 13).  Draw a line connecting

(0, 10) and (1, 13).

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Given the function defined in the table below, find the average rate of change, in
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Answer:

                                                                                                                                                                                                                                                   

Step-by-step explanation:

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El siguiente diagrama A, B, C, D, E, F denotan islas, y las líneas de unión son puentes. El hombre empieza en A y camina de isla
Aleonysh [2.5K]

Answer:

hey good

Step-by-step explanation:

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