Answer: 51 uinits
The three numbers are x , x + 21 and x + 27.
The greatest of the 3 numbers is x + 27, so x + 27 has to be the hypotenuse.
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Pythagoras Theorem
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a² + b² = c²
x² + (x+21)² = (x+27)²
x² + x² + 42x + 441 = x² + 54x + 729
x² - 12x -288 = 0
(x - 24)(x + 12) = 0
x = 24 or x = -12 (rejected, length cannot be negative)
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Find hypotenuse
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Hypotenuse = x + 27 = 24 + 27 = 51 units
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Answer: 51 units
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Answer:
y= -3/4x - 3
Step-by-step explanation:
-3/4 is the slope, so you replace m with the slope.
The y intercept is -3. If x is 4, and y is -6, we can plug that into an equation to find the y intercept. y=mx+b can change to -6= -3/4 * 4 + b. B = -3.
Answer:
v = 124 cm³
Step-by-step explanation:
The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,
v = a³
v = 4³
v = 64
Now, for the rectangular prism.
v = l · w · h
v = 10 · 3 · 2
v = 60
Now, for the total collective volume, simply add up the volumes of the independent shapes.
64 + 60 = 124 cm³
Answer:
7.5x6.5=48.75
Step-by-step explanation:
