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Slav-nsk [51]
3 years ago
6

Select the correct answer.

Mathematics
2 answers:
svet-max [94.6K]3 years ago
7 0

Answer:

Step-by-step explanation:

A parallelogram is a 4-sided polygon whose opposite sides are equal. By definition, opposite angles are also equal. A square, rectangle, or rhombus are considered as a parallelogram. Among the choices, the correct answer is D. "Opposite angles are congruent"

GrogVix [38]3 years ago
3 0

Answer:

D

Step-by-step explanation

opposites have the same angles which would make the congruent so it is option D

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The volume of a pyramid varies jointly as the height and the area of the base. If a pyramid has the measurements V=1144
Naddika [18.5K]

Answer:

  • 11040 m³
  • k ≈ 0.33
  • V = (1/3)Bh

Step-by-step explanation:

The given relation is ...

  V = kBh . . . . . for some base area B, height h, and constant of variation k

We are given length and width of the base so we presume it is a rectangle.

  B = l·w = 8·11 = 88 . . . . square meters

The given volume tells us the value of k:

  1144 = k(88)(39) . . . . . . cubic meters

  1144/3432 = k = 1/3 ≈ 0.33

The value of k is about 0.33.

__

Then the volume of the larger pyramid is ...

  V = (1/3)(15 m)(46 m)(48 m) = 11,040 m³

The general relationship is ...

  V = 1/3Bh

7 0
3 years ago
a six sided number cube has faces with the numbers 1 through 6 marked on them. what is the probability that a number less than 3
Charra [1.4K]
1/3 would be the answer
8 0
2 years ago
If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid
Artist 52 [7]
Check the picture below.  Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm².  Also, recall, the base is a square, thus, length = width = x.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\quad &#10;\begin{cases}&#10;l = length\\&#10;w=width\\&#10;h=height\\&#10;-----\\&#10;w=l=x&#10;\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\&#10;-------------------------------\\\\&#10;\textit{surface area}\\\\&#10;S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h&#10;\\\\\\&#10;\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\&#10;-------------------------------\\\\&#10;V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3

so.. that'd be the V(x) for such box, now, where is the maximum point at?

\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2&#10;\\\\\\&#10;\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100&#10;\\\\\\&#10;x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it.  Check the second picture below.

so, the volume will then be at   \bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3

6 0
3 years ago
2. You bought items at Best Buy totaling $290.76. You have a 20%
vovangra [49]

Answer:

Discount = $290.76 × 0.2 = $58.15

Cost After Discount = $290.76 - $58.15 = $232.61

Sales Tax = 0.0625 × $232.61 = $14.56

How Much You Pay = $232.61 + $14.56 = $247.17

Step-by-step explanation:

Discount:

290.76 × 0.2* = 58.152

Round that to 58.15

* Turn 20% into a decimal (0.2)

Cost after Discount:

290.76 - 58.15 = 232.61

Sales Tax:

First turn 6.25 % into a decimal. Which would be 0.0625.

0.0625 × 232.61* = 14.556875

Then we round to the nearest hundredth and you get 14.56.

* We us the amount after the discount instead of the original price.

How much you pay:

232.61 + 14.56 = 247.17

8 0
3 years ago
How do convert fluid ounces into quarts
34kurt
<span>Quarts to fluid ounces volume units conversion factors are listed below. To find out how many ounces in quarts, multiply by the right factor or instead, use the converter below if converting between US fluid measurements.</span>
6 0
3 years ago
Read 2 more answers
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