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aleksandr82 [10.1K]
3 years ago
10

Doug lives 7. Block away from his school . Each block is about 265 feet long. What is total round-trip dostance,in miles that Do

ug walks to and from school each day ? A0.35, B0.7, C0.5 , D 0.03
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

B : 0.7

Step-by-step explanation:

Given:

Doug lives 7. Block away from his school.

Each block is about 265 feet long.

Question asked:

What is total round-trip distance,in miles that Doug walks to and from school each day ?

Solution:

Each block is about = 265 feet

7 Block = 265\times7 = 1855 \ feet

As he lives 7 block away from his school that means his round trip distance is,

7 block ( travel during going to school ) + 7 block ( when return from school )

<em>Therefore, his total round trip is 14 block, means 1855 feet + 1855 feet = 3710 feet.</em>

Now, we have to convert it into miles as here asked: (unitary method)

5280 feet = 1 mile

1 feet = \frac{1}{5280}

3710 feet = \frac{1}{5280}\times3710

               = \frac{3710}{5280} = 0.7 \ miles

Thus, total round-trip distance,in miles that Doug walks to and from school each day is 0.7 miles.

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Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

A=\frac{bh_b}{2}

h_b=\sqrt{a^2-\frac{b^2}{4} }

There are 2 solutions for b

b=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } } ≈ 10cmb=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

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2 years ago
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