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lara31 [8.8K]
2 years ago
12

A solid oblique pyramid has a regular hexagonal base with an area of 54StartRoot 3 EndRoot cm2 and an edge length of 6 cm. Angle

BAC measures 60°. A solid oblique pyramid has a regular hexagonal base with an area of 54 StartRoot 3 EndRoot centimeters squared and an edge length of 6 centimeters. Point B is the apex and point A is the center of the hexagon. Point C is a corner of the hexagon. Triangle A B C is formed. Angle A is 60 degrees and angle C is 90 degrees. What is the volume of the pyramid? 72StartRoot 3 EndRoot cm3 108StartRoot 3 EndRoot cm3 324 cm3 486 cm3
Mathematics
1 answer:
Naya [18.7K]2 years ago
7 0

Answer: C. 324 cm∧3

Just took quiz.

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renu purchased an air conditioner for rs 40500 including 8% VAT. what was the price before including VAT?
jekas [21]

Answer:

₹ 37500

Step-by-step explanation:

Let the price before VAT be ₹x.

\therefore \: x + 8 \% \: of \: x = 40500 \\  \therefore \: x +0.08x = 40500 \\  \therefore \: 1.08x  = 40500 \\  \therefore \: x =  \frac{40500}{1.08}  \\ \huge  \red{ \boxed{ \therefore \: x = Rs.  \: 37,500}}

Hence the price before including VAT of air conditioner was ₹ 37,500.

7 0
2 years ago
Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inch
enyata [817]

First to find the median we need to put the numbers in order from least to greatest.

62, 64, 65, 66, 67, 69, 83

Now take a number from each side

64, 65, 66, 67, 69

Once again.

65, 66, 67

On last time

66

So the median is 66.

Now to find the mean we must add all the numbers up

64+67+83+65+66+62+69

which equals 476

Now divide 476 by the total number of heights which is 7

476/7=68

So the mean is 68

Answers: Mean; 68 Median; 66

3 0
2 years ago
Read 2 more answers
−12x−5y=40 12x−11y=88 ​ x= y=
Nezavi [6.7K]
Add the two equations and use the elimination method. The x term will "cancel out" to be able to solve for the y term.

STEP 1
−12x−5y=40
12x−11y=88 ​
x terms "cancels out"; add y terms

-16y= 128
divide both sides by -16

y= -8


STEP 2
substitute y value into either original equation

12x−11y=88 ​

12x - 11(-8)= 88

12x + 88= 88
subtract 88 from both sides

12x= 0
divide both sides by 12; 0 divided by any number is 0

x= 0


ANSWER: x= 0; y= -8

Hope this helps! :)
6 0
2 years ago
Tyler ate x fruit snacks, Han ate 3/4 less than that. Write an equation to represent the relationship between the number Tyler a
Citrus2011 [14]

Answer:

0.75x = y

or

1/4 = y

4 0
2 years ago
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the
k0ka [10]

A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months.

When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate.

S(t) denote the ice sheet's thickness S ( measured in meters) as a function of time (measured in weeks).

Therefore the equation formed will be linear.

The equation will be of the form y = mx + b

Here S(t) = mt + b

Here m is the slope which is the rate at which ice is melting.

Putting t = 0

S(t) = 2

Putting t = 3,

S(t) = 1.25

Therefore, m*0 + b = 2 or, b = 2

and 3m + b = 1.25

or, 3m = 1.25 - 2 = -0.75

or, t = -0.25

Hence, function's formula = S(t) = -0.25*t + 2

i.e. S(t) = 2 - 0.25*t

3 0
2 years ago
Read 2 more answers
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