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3 years ago

Can someone help me with this one and write the step by step explanation please.

Mathematics

2 answers:

wlad13 [49]3 years ago

8 0

Answer:

(angles in a triangle add to 180 degrees)

(180 - 90) / 2 = 45

Use the sine rule to calculate the length a

(6 / sin(90)) x sin(45) = a

a = 4.242640687

<u>a = 4.2 mm (This answer is to 1 decimal place)</u>

Eddi Din [679]3 years ago

3 0

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ As the two lengths are a, this means it is an isosceles triangle.

The two unknown angles would be equal so we can calculate them:

(angles in a triangle equal 180 degrees)

(180 - 90) / 2 = 45

Now we can use the sine rule to calculate the length a

(6 / sin(90)) x sin(45) = a

a = 4.242640687

To one decimal place, your answer would be:

a = 4.2mm

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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3 years ago

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and the slope of the second circle is given by

$2(x-3)+\left.2y \frac{dy}{dx}\right|_{(c, d)} =0 \\ \\ \Rightarrow \left.\frac{dy}{dx}\right|_{(a, b)} =- \frac{x-3}{y} =- \frac{c-3}{d}$

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$\frac{a}{b}= \frac{c-3}{2b} \\ \\ \Rightarrow a= \frac{c-3}{2}$

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