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<em>If a rectangular prism has a volume of 470.40 cm</em><span><em>³, and the length and width is equal to 6.4 and 9.8, we will find the height by using some inverse operations. We will use the variable h to represent height</em>
<em>Length x Width x Height = Volume</em>
<em>6.4 cm • 9.8 cm `• h = 470.40</em>
<em>470.40 ÷ (9.8 x 6.4)</em>
<em> = 470.40 ÷ 62.72</em>
<em> = 7.5</em>
<em>Check Answer:</em>
</span><em>Length x Width x Height = Volume</em>
<em>6.4 cm • 9.8 cm `• 7.5 = 470.40</em>
<u>Answer: 7.5 cm</u>
Answer:
125 = 5 x 5 x 5 or 125 = 5³
Step-by-step explanation:
Answer:
132cm^2
Step-by-step explanation:
SA of square based pyramid:
SA = 2bs + b^2
b = base
s = slant height
-> 2(6)(8) + 6^2
-> 96 + 36
= 132cm^2
Answer:
(2, 1)
Step-by-step explanation:
To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.
y = 6x - 11
-2x - 3(6x - 11) = -7 Distribute.
-2x - 18x + 33 = -7 Combine like terms.
-20x + 33 = -7 Subtract 33 from both sides of the equation.
-20x = -40 Divide by -20 on both sides of the equation.
x = 2
Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.
y = 6(2) - 11
y = 12 - 11
y = 1
Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).
