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1 answer:
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To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.
<h3>Pythagorean Theorem</h3>This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.
To calculate the base of the triangle, let's use Pythagorean theorem here
Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.
From the calculations above, the values of the triangle are
- diagonal = 7
- base = 3.61
- height = 6
Learn more on pythagorean theorem here;
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Answer:
Manuel would be correct, the volumes would be equal.
Step-by-step explanation:
The formulae for finding the volume of pyramids and cones both include dividing three (multiplying by ).
Square pyramid formula: ×B×h where B is the area of the base. By plugging in numbers we have that B=314.159 and h=5. 314.159×
×5=523.5983.
Cone formula: The basic formula is the same: ×B×h, but the area of the base is found using the circle formula of π×r². For the cone we have B=314.159 and h=5. 314.159×
×5=523.5983.
Since both of these formulas came up with the same answer, we can conclude that Cone W has the same volume as Pyramid X, which is Manuel's answer.
I've drawn a triangle to represent the journey (see attached.
The angle from Home to Victim to Hospital is:
a =
Using the cos rule, we can solve for the length x:
Using the cos rule, we can solve for angle b:
So the bearing the helicopter has to travel is:
270 - 76.1 = <u>193.9 degrees (1 dp)</u>
And the distance it travels is <u>31.2 km (1 dp)</u>
The angle from Home to Victim to Hospital is:
a =
Using the cos rule, we can solve for the length x:
Using the cos rule, we can solve for angle b:
So the bearing the helicopter has to travel is:
270 - 76.1 = <u>193.9 degrees (1 dp)</u>
And the distance it travels is <u>31.2 km (1 dp)</u>