Everything you're posting involves right triangles, and
each one is solved with the Pythagorean formula:
(one leg)² + (other leg)² = (hypotenuse)²
For the tree . . .
Do you see the right triangle ?
They even marked a little box at the base of the stump
to remind you that there's a right angle there.
-- The stump is 3 meters high.
-- The broken part of the tree is on the ground
13 meters away from the stump.
-- The broken part of the tree is the hypotenuse.
(3)² + (13)² = (broken part)²
-- Before it fell over, the broken part stood on top of the 3-meter stump.
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#4). Your coordinates for point 'G' are correct, but
the coordinates of point 'F' should be (-1, 6), not (1,6).
If you know how to calculate the distance between 2 points,
then that little correction might fix the problem you're having.
The distance between two points is
Square root of [ (x₁-x₂)² + (y₁-y₂)² ]
or
Square root of [ (difference of the x's)² + (difference of the y's)² ] .
Without even using this formula, you could just look at
the graph, and do something like this:
-- From 'F', draw a line 2 units straight down.
-- From 'G', draw a line 4 units to the left.
-- Connect 'F' and 'G' .
Now you have a little right triangle.
The legs are 2 units and 4 units.
The hypotenuse is the distance between 'F' and 'G'.
(2)² + (4)² = (that distance)²
Answer: 1,162.9 cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a square pyramid: 1/3 x base area x height
Where
base area = base side length ^2
Replacing with the value given:
Base area = 15.9^2
base area : 252.81 cm2
Back with the volume formula:
V = 1/3 x base area x height
Replacing with the values given and solving for V (volume)
V = 1/3 x 252.81 x 13.8 = 1,162.9 cubic centimeters
Feel free to ask for more if needed or if you did not understand something.
Answer:
C. tan 48° = 16.3 / x
Step-by-step explanation:
With reference angle A
Tan A = BC / AC
Tan 48° = 16.3 / x
Hope it helps
Answer:
Step-by-step explanation:
Subtract first from second
= 2x^2 + 3x + 5
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