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stich3 [128]
3 years ago
5

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2. What is the vol

ume of the pyramid?
Mathematics
2 answers:
Pavel [41]3 years ago
8 0

Solution:

Let me define pyramid first.A pyramid is a Polyhedron , whose base  can be any polygon and it's faces are triangular which meet at a point called vertex.

Volume of Pyramid =  \frac{1}{2}\times{\text{Area of Base}\times{\text{Height}

Side of base which is an equilateral triangle= 4 cm

Area of whole pyramid = 12 square cm

Area of Equilateral triangle having side 4 cm=\frac{\sqrt3}{4}\times(Side)^2=\frac{\sqrt3}{4}\times(4)^2=4 \sqrt3 cm²

So, Area of three triangle which are faces of pyramid = (12 - 4 √3)cm²

Area of triangle = \frac{1}{2} \times (Base)\times(Height)

12 - 4 √3= \frac{1}{2} \times (4)\times(Height)

Height =\frac{12-4\sqrt3}{2}

Height=(6-2√3) cm

Volume of pyramid = Area of Equilateral triangle which is it's Base × Height of Pyramid

          =4√3 × (6-2√3) cm³

           =(24 √3 -24)

           = 24 (1.732-1)

          =24 × 0.732

          =17.568 cm³



navik [9.2K]3 years ago
7 0
The answer would be 16cm^3.

(make sure to put answer choices with your question so people can help more quickly.)


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BRAINLIESTT ASAP! PLEASE HELP ME :)
jonny [76]

Answer:

Step-by-step explanation:

1) ∠1 + 33 = 180    {Straight line}

∠1 = 180 - 33

∠1 = 147

2){Exterior angle of a triangle equals the sum of opposite interior angles}

∠2 = 47 + 33    

∠2 = 80

3) ∠2 +x = 180    {straight line}

80 + x = 180

x = 180 - 80

x = 100

{Exterior angle of a triangle equals the sum of opposite interior angles}

∠3 = 100 +  48

∠3 = 148

8 0
3 years ago
Read 2 more answers
How do I solve <br><img src="https://tex.z-dn.net/?f=%20%20%5Csin%28%20a%20%29%20%20%3D%20.8325" id="TexFormula1" title=" \sin(
Serga [27]

Answer:

a=56.4\degree

Step-by-step explanation:

Let a be an acute angle.

To solve: \sin(a)=0.8325, we take the sine inverse of both sides to obtain:

\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)

Recall  composition property of a function and its inverse function.

f^{-1}(f(x))=x

We apply this property to the left hand side to obtain;

a=\sin^{-1}(0.8325)

We now use our scientific calculator to obtain;

a=56.3564115\degree

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4 0
3 years ago
A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm
MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x\geq25.8  upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em>\frac{1}{b-a}<em>   </em>a\leq x\leq b

            =1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)=\frac{x-a}{b-a} =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

7 0
3 years ago
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mixer [17]

Answer:

x=-12

Step-by-step explanation:

32+2x=6+x+14

2x-x=6+14-32

x=-12

ST=6

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8 0
3 years ago
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sergejj [24]
Here is the graph 
The Answer is C) 5x + 3 > 3

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3 years ago
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