A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices.
In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m
We sketch a diagram of a tetrahedron with the given measurement as shown below
To find the height, we will use the Pythagoras theorem
20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)
Answer:
wait so are you adding or
Answer:
C. Jared is not correct because the cone and the cylinder have the same base and height so the cone holds 4,712/3≈1,571 centimeters cubed of sand.
Step-by-step explanation:
We have a cone and a cylinder with the same base and height.
We can express the volume of the cylinder as:
being r the radius and H the height.
The volume of the cone can be written as:
As they have the same base and height, we know that the volume of the cylinder is 3 times the volume of the cone.
If the volume of the cylinder is 4,712 cm^3, then the volume of the cone is:
First, we know that angle B is congruent to angle E.
2x + 40 = 5x + 10
2x + 30 = 5x
30 = 3x
x = 10
Angle B and Angle E = 60 degrees
Angle C = 14 degrees
Remember that the interior angles of a triangle always add up to 180 degrees. Now that we know 2 of the 3 angles of these triangles, and because they are congruent, all that's left to do is find Angle A/D by setting up a simple equation.
60 + 14 + D = 180
74 + D = 180
D = 106
Angle D = 106 degrees
Hope this helps!
Answer:
d = 780
Step-by-step explanation:
Remark
You can do this with a proportion which will save you figuring out the rate. I'll do it both ways
Proportion
480/8 = x / 13 Cross Multiply
8*x = 13*480
8x = 6240
x = 780 miles
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Remark
Often times we like questions to follow a formula. Here's the formula method.
<u>Formula</u>
d = r * t
<u>Givens</u>
t = 8 hours
d = 480miles
r = ?
480 = r * 8
480 / 8 = r
r = 60
<u>Second part</u>
r = 60 miles per hour
t = 13 hours
d = ?
d = 60*13
d = 780 miles
