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Vanyuwa [196]
4 years ago
8

Find the surface area of the regular triangular pyramid.

Mathematics
1 answer:
crimeas [40]4 years ago
7 0
The surface of the pyramid: base + surface area of the sides.

The base area is:

By Heron formula,
s=8+8+8/2
=12

_/12(12-8)(12-8)(12-8)
=_/12(4)(4)(4)
=_/768
=27.7128..
≈27.71sq.units

The side surface areas:
(18×8/2)×3
=144/2×3
=216 sq.units

The total surface area:
216+27.71
=243.71 sq.units

Thus, 243.71 sq.units is the answer.

Hope it helps!
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If 5% sales tax is added to her total, what is the greatest total cost of groceries Darla can spend in order to spend as close t
andrew-mc [135]

Answer:

Approximately $14.20

Step-by-step explanation:

Let the cost of the groceries be represented by c, then;

cost price + VAT = c + (5% of c)

To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.

Let c = $14.20, then;

So that,

c + (5% of c) = 14.20 + (5% of 14.20)

                    = 14.20 + 0.71

                    = $14.91

Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.

7 0
3 years ago
Help please!<br> 6x^2+2x-9=0<br> A 6.4, -8.4<br> B 1.1, -1.4<br> C -2.2, 2.8<br> D -1.1, -1.4
Yakvenalex [24]
6x^2+2x-9=0\\\\a=6;\ b=2;\ c=-9\\\\\Delta=b^2-4ac\to\Delta=2^2-4\cdot6\cdot(-9)=220\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{-2-\sqrt{220}}{2\cdot6}=\dfrac{-2-\sqrt{220}}{12}\approx-1.4\\\\x_2=\dfrac{-2+\sqrt{220}}{2\cdot6}=\dfrac{-2+\sqrt{220}}{12}\approx1.1

Answer: B. 1.1; -1.4.
6 0
3 years ago
Protractors cost 16p each how much would 26 protractors cost
AveGali [126]

Answer:

The answer is £4.16

Step-by-step explanation:

26 x 16 = 416 = £4.16

4 0
4 years ago
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A metal bar weighs 8.15 ounces. 93% of the bar is silver. how many ounces of silver are in the bar
Zielflug [23.3K]
7.5795 ounces of the bar are silver.
8 0
3 years ago
What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4
Dmitry_Shevchenko [17]
   
<span>The equation is:   4x + y + a = 0

Point (4, -3)  </span>⇒  x = 4  and  y = - 3<span>

</span>⇒ 4 · 4 - 3 + a = 0
<span>
16 - 3 +a = 0

13 + a = 0

a = -13

</span>Ansver:   equation is:   4x + y - 13 = <span>0     OR     4x + y = 13
</span>


5 0
3 years ago
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