Answer:
Point of the flower garden R ( 11, 44 )
Step-by-step explanation:
Let´s call P ( 3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point
Differences in coordinates of these two points are:
x axis 7 - 3 = 4
y axis 29 - 14 = 15
Then the point Q ( x , y ) will be at: Q ( 11, 44)
x axis x = 11 because 7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x) 3 and 11 ( 4 above 3, and 4 below 11)
Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates (y) 14 and 44 ( 15 above 14 and 15 below 44)
We can probe getting distance d₁ between P and Q and d₂ distance between Q and R as:
d₁ = √ (7-3)² + ( 29-14)²
d₁ = √ 16 + 225
d₂ = √ (11 - 7)² + ( 44 - 29)²
d₂ = √ 16 + 225
Answer:
y = 1x - 5
Step-by-step explanation:
You draw perpendicular bisectors to find the center of a circle circumscribed about a triangle. Hook me up with 5 stars :)
The quick way to dispute something like this is to simply do the calculation and then create a ratio.
Cube One (Large Cube)
The formula for a cube is V = e^3
e = the measurement of an edge. In this case.
e = 10 cm
V = e^3
V = 10^3 = 10*10*10
V = 1000 cm^3
Cube 2 (Small Cube)
V = e^3
e = 5 cm
V = 5*5*5
V = 125 cm^3
Ratio
Large Cube / Small Cube = 1000 / 125 = 8/1.
The difference in size is 8 to 1 not 2 to 1.
Explanation
He's right if he sticks to one side. The ratio of one side of the large cube to the small one is 2 to 1. But once you put that into the formula for volume, three sides are multiplied together and that 2 shows up everytime you multiply the sides together.
Answer:
A. 29 feet
Step-by-step explanation:
Use cos to find the hypotenuse
cos = adj/hp
0.64 = 20/hyp
hyp = 20/0.64
hyp = 31.25
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Use Pythagorean Theorem to find the height of tree above eyes
a² + b² = c²
a² + 20² = 31.25²
a² = 31.25² - 20²
a² = 576.5625
a = 24 (to the nearest foot)
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Finally add in the eye height
h = 24 + 5
h = 29 feet