We know that the building is 256.25 m long and that a ratio is 25 meters to 1 inch.
We have to divide the length of a building to 25:
256.25 : 25 = 10.25
Answer: The building will be 10.25 inches long in the sketch.
The product of the sum of two perfect cubes:
a³ + b³ = (a + b)(a² - ab + b²)
The product of the difference of two perfect cubes:
a³ - b³ = (a - b)(a² + ab + b²)
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Remember to follow FOIL:
(b^2 + 8)(b^2 - 8)
(b^2)(b^2) = b^4
(b^2)(-8) = -8b^2
(8)(b^2) = 8b^2
(8)(-8) = -64
b^4 - 8b^2 + 8b^2 - 64
Combine like terms:
b^4 (-8b^2 + 8b^2) - 64
b^4 - 64
b^4 - 64 is your answer
hope this helps
Apply the distributive property<span>.
</span><span>7x−5−(3x)−1(−2)</span><span>
</span>
<span>Simplify.
</span><span>7x−5−3x−1(−2)
</span>Multiply <span>−1</span><span> by </span><span>−2</span><span> to get </span><span>2.</span><span>
</span><span>7x−5−3x+2</span><span>
</span>
Add <span>7x</span><span> and </span><span>−3x</span><span> to get </span><span><span>4x</span>.
</span><span>4x−5+2</span><span>
</span>
Add <span>−5</span><span> and </span>2<span> to get </span><span><span>−3</span>.
</span><span>4x−3
</span><span>4x−3</span>
Answer:
394.9 cm
Step-by-step explanation:
The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).
r = radius
h = height
The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.
Plug in the values.
a(unknown)^2 + 6^2 = 15^2
A + 36 = 255
255 - 36 = 189
√189 ≈ 13.7
Surface area formula, plug in the values.
A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )
*PEMDAS*
A = 3.14 × 6 ( 6 + √36 + 187.69 )
A = 3.14 × 6 ( 6 + √223.69 )
A = 3.14 × 6 ( 6 + 14.95 )
A = 3.14 × 6 ( 20.96 )
A = 3.14 × 125.76
A = 394.8864
*round to nearest tenth*
A = 394.9 cm
Hope this helps! :)
Answer:
ANSWER: D
Step-by-step explanation:
