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lutik1710 [3]
3 years ago
8

On the map, 1 inch represents 100 miles.

Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

Answer:

150 miles

Step-by-step explanation:

The distance between the two is about 1.5 inches.  Since 1 inch on the ruler represents 100 miles, we can write a proportion:

100 miles / 1 inch = x miles / 1.5 inch

x = 150 miles

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allochka39001 [22]
\dfrac{\sqrt[3]{x+h}-\sqrt[3]x}h\times\dfrac{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}=\dfrac{(\sqrt[3]{x+h})^3-(\sqrt[3]x)^3}\cdots
=\dfrac{x+h-x}\cdots=\dfrac h\cdots

The hs then cancel, leaving you with the \cdots=\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2} term.

If it's not clear what I did above, consider the substitution a=\sqrt[3]{x+h} and b=\sqrt[3]x. Then

a^3-b^3=(a-b)(a^2+ab+b^2)
\implies\dfrac{a-b}h=\dfrac{a-b}h\times\dfrac{a^2+ab+b^2}{a^2+ab+b^2}=\dfrac{a^3-b^3}{h(a^2+ab+b^2)}
4 0
3 years ago
The length of the rectangle is 3 cm and the width is 5 cm what will the area be?
WINSTONCH [101]

Answer:

15 cm²

Step-by-step explanation:

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3 0
3 years ago
A ship sails from harbour h on a bearing of 084 for 340 km until it reaches point P. It the sails on a bearing of 210 for 160km
sattari [20]

Answer:

QH = 227.8 km ≅ 228 km

Step-by-step explanation:

∵ The bearing from H to P is 084°

∵ The bearing from P to Q is 210°

∵ The distance from H to P = 340 km

∵ The distance from P to Q = 160 km

∴ The angle between 340 and 160 = 360 - 210 - (180 - 84) = 54°

( 180 - 84) ⇒ interior supplementary

By using cos Rule:

(QH)² = (PH)² + (PQ)² - 2(PH)(PQ)cos∠HPQ

(QH)² = 340² + 160² - 2(340)(160)cos(54) = 51904.965

∴ QH = 227.8 km ≅ 228 km

7 0
3 years ago
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Answer:

19km

Step-by-step explanation:

190km divided by 10hr = 19km per 1hr

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3 years ago
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