lhyla02

Hey there

The new price of the television will be 70% of its original. Thus

670*0.7=469

Hope this helped :)

Hey there!

I hope you see this as my answer was wrong!

A pyramid with 14 edges is also known as a heptagonal pyramid, meaning the base has 7 edges. Due to this, the 7 edges at the bottom and the 7 leading up to the point accumulate to 8 total vetices! Sorry for the confusion!

Hope this finds you well :)

Hey Guest!

Vertices are the point in which edges meet. So for your example of a triangular based pyramid, there would be 3 vertices at the bottom, where the edges meet, and one final vertice at the point, or tip if oyu will. Coming to a total of 4 vertices for a triangular based pyramid.

Hope this helped :)

P.S. while writing this, i realise I've actually given the wrong answer to this question. Edit time!!

Hey there!

If Daniel gets 4 out of 5 right thats a 4:5 ratio. If we let x be the number of questions he gets asked, and y be the number of questions he get right (64), we can solve for x.

\(x*\frac{4}{5}=y\)

\(x*\frac{4}{5}=64\)

\(x=\frac{64}{\frac{4}{5}}\)

\(x=80\)

Now you can figure out how many he missed!

Hope this helped :)

Hey there!

Here, the Surface Area (SA) will be equal to the base + the three faces. We know the formula for the area of a triangle (\(\frac{Base*Height}{2}\)), so we get:

\(SA=6.9 + 3(\frac{4*7}{2})=...cm^2\)

Putting this into your calculator will give you your answer.

Let me know how you go :)

Hey there!

Assuming that the bottom is flat and it comes to one point at the top, the pyramid will have 15 vertices!

Hope this helped :)

Hey there!

There would be method there but i started trial and error and got it on my third go :)

1+2+3+4+5=15

1*2*3*4*5=120

Hope this helped :)

Hey there!

x=(4/5)*15=12

Hope this helped :)

Hey there!

Area of square big: 25x^2

Area of square small: 4x^2

Area of triangle: (10x^2)/2=5x^2

From this we can just solve for x

850=25x^2 + 4x^2 +5x^2

850=34x^2 

25=x^2

x=5 inches

Hope this helped :)

Hey there!

Here you want to use tangent to solve for the angle since tan(theta)=opposite/adjacent, so:

tan(theta)=4/9

theta=tan^-1 (4/9)

theta=23.96 degrees

You want the nearest tenth, thus your answer is

x = 24.0 degrees

Hope this helped :)