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Llana [10]
3 years ago
14

Someone please solve this ASAP and give answer as a square root

Mathematics
1 answer:
natima [27]3 years ago
8 0
Given pyramid with a regular hexagonal base,
side length=6\sqrt{3} cm
Height = 4 cm

We need to find the area of the hexagonal base.  First step is to find the apothm,
a=side*(\sqrt{3}/2 
=6*3/2=9
So the area of each equilateral triangle making up the base
=base*apothem/2
=6\sqrt{3} *9/2
=27\sqrt{3}
The area of base = 6 area of each triangle
=6*27\sqrt{3}
=162\sqrt{3}

Volume of pyramid = area of base * height /3
=162\sqrt{3}*4/3
=216\sqrt{3}

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Based on the graph, which inequality is correct for a number that is to the right of -3?
Firdavs [7]

Answer:

4 > −3

Step-by-step explanation:

To find a number to the right of -3, it must be bigger than -3

The open part of the inequality faces the bigger number.

4 is bigger than -3

4>-3



3 0
3 years ago
Solve the system of equations<br><br> system
Korolek [52]

Answer:

(3, 3 )

Step-by-step explanation:

Given the 2 equations

3x - y = 6 → (1)

6x + y = 21 → (2)

Adding the 2 equations term by term will eliminate y, that is

(6x + 3x) + (y - y) = (21 + 6), that is

9x = 27 (divide both sides by 9 )

x = 3

Substitute x = 3 into either (1) or (2) and solve for y

Using (2), then

(6 × 3) + y = 21

18 + y = 21 ( subtract 18 from both sides )

y = 3

Solution is (3, 3 )

8 0
3 years ago
Read 2 more answers
Tyrone mixed 7/12 quart of red psont with 1/12 quart of yellow paint how much paint does tyrone have in the mixture
Zarrin [17]
Hello there.

<span>Tyrone mixed 7/12 quart of red paint with 1/12 quart of yellow paint how much paint does Tyrone have in the mixture?
</span><span>
Answer: In this question you need to add together the fractions provided.
The sum would look like this:
</span>\frac{7}{12} + \frac{1}{12} =
<span>Since the denominators are the same , it is simple to add.
All you need to do is 7 + 1 = 8.
Therefore the end result after solving would look like.
</span>\frac{7}{12} + \frac{1}{12} = \frac{8}{12}.
<span>Tyrone has 8/12 quarts of paint.

Hope This Helps You!
Good Luck Studying ^-^</span>
3 0
3 years ago
Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)
JulsSmile [24]

Let the given complex number

z = x + ix = \dfrac{5-i}{3+2i}

We have to find the standard form of complex number.

Solution:

∴ x + iy = \dfrac{5-i}{3+2i}

Rationalising numerator part of complex number, we get

x + iy = \dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}

⇒ x + iy = \dfrac{(5-i)(3-2i)}{3^2-(2i)^2}

Using the algebraic identity:

(a + b)(a - b) = a^{2} - b^{2}

⇒ x + iy = \dfrac{15-10i-3i+2i^2}{9-4i^2}

⇒ x + iy = \dfrac{15-13i+2(-1)}{9-4(-1)} [ ∵ i^{2} =-1]

⇒ x + iy = \dfrac{15-2-13i}{9+4}

⇒ x + iy = \dfrac{13-13i}{13}

⇒ x + iy = \dfrac{13(1-i)}{13}

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0
3 years ago
A pizza restaurant gave a 20% discount on the supreme pizza which cost $16. what was the sale price?
Inga [223]

Answer:

you saved $3.20

Step-by-step explanation:

16 x 20/100

16 x 0.2

= 3.20

so 16-3.20= 12.80

final price is 12.80

6 0
2 years ago
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