Easy one - giving brainly! show work!

Mathematics

1 answer:

sammy [17]2 years ago

7 0

Answer:

50km

Step-by-step explanation:

Explanation:

So the map has a scale of 1 cm: 20 km. Next, you look at how far they are apart and see if the scale and the distance on the map are the same measurement. In this case, they are both centimeters so they stay the same. Then, all you do is multiple the real size, 20 km, by 2.51. Then, 20 x 2.5=50. So the answer is 50 km

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A3-b3=(a-b)(a2+an+b2) 64x6-27

olga nikolaevna [1]

a³-b³=(a-b)(a²+ab+b²)

64x⁶ - 27

64 = 4³,
x⁶ = (x²)³
27 = 3³

64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³. Now, we can use a formula where a=4x², b=3

(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) = (4x² -3)(16x⁴ +12x² + 9)

Answer: 64x⁶ - 27= (4x² -3)(16x⁴ +12x² + 9)

4 0

4 years ago

It takes Lucas 3 hours to cycle from his home to his friends village but if travels 5 mph slower, it will take him 1.5 hours lon

Alika [10]

The distance from friend's village to Lucas's house is 45 miles

Step-by-step explanation:

Lets assume the distance from Lucas home to friend's village is x miles

The time taken to cycle from Lucas home to friend's village is 3 hrs....t₁

The time taken if travelling at a 5 mph reduced speed is 1.5 hrs longer......t₂

t₂=4.5 hrs

t₁= 3 hrs

Speed for cycle in first instance, where t₁=3 hrs and distance is x miles

s₁=d/t = x/3 mph

Speed for cycle if travelling at a slower speed,

$s=\frac{x}{3}-5$

Time taken in the second instance when travelling at a slower speed

= $\frac{x}{\frac{x}{3}-5 }=4.5\\ \\\frac{3x}{x-15} =4.5\\\\\\3x=4.5(x-15)\\\\3x=4.5x-67.5\\\\\\67.5=4.5x-3x\\\\\\67.5=1.5x\\\\\\67.5/1.5=x\\\\\\45=x$