Answer:
<h2> The centroid is always between the orthocenter and the circumcenter. The distance between the centroid and the orthocenter is always twice the distance between the centroid and the circumcenter. In obtuse triangles, the circumcenter is always outside the triangle opposite the largest....</h2>
The constant of the proportional relationship graphed in this problem is of 10.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the points on the graph are: (0,0), (2,20), (4,40), ..., hence the constant is:
k = 40/4 = 20/2 = 10.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
255
Step-by-step explanation:
1200-945 is 255
Given:
Length of the playground: 125 ft
Width of the playground: 60 ft
Depth of the mulch: 6 inches
Convert ft and inches to yards
1 yard = 3 feet
Length: 125ft/3ft = 41.67 yd
Width: 60ft/3ft = 20 yd
1 ft = 12 inches
Depth: 6 inches * 1ft/12inches = 6ft/12 = 1/2 ft
Depth: 0.5 ft * 1yd/3ft = 0.5yd/3 = 0.17 yd
Volume = Length * Width * Depth
V = 41.67yd * 20yd * 0.17yd
V = 141.68 yd³
V = 125ft * 60ft * 0.5ft
V = 3,750 ft³
1 cubic yard = 27 cubic feet
3,750ft³ * 1yd³/27ft³ = 3,750 yd³ / 27 = 138.89 or 139 yd³ LETTER B.
Please, enclose those binomials x+4 and y+7 inside parentheses:
(x+4) / 4 = (y+7) / 7. Find (x/4).
Let's solve the above equation for x:
x+4 = 4(y+7)/7. Then x = 4(y+7) / 7 - 4
Last, divide all 3 terms by 4: x/4 = (y+7) / 7 - 1 (answer)
y + 7 - 7
You could also type this as x/4 = ------------- = y/7
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