Mathematics: Robert can run 1/2 of a mile in 1/15 of an hour. how many miles can robert run in an hour?

Step-by-step explanation:Hey there!LHSUse tan A = sin A/cosAThen, Use formula cos²A = 1-sin²A and sinA = √(1-cos²A)Proved!Hope it helps!...

Robert can run 1/2 of a mile in 1/15 of an hour.

lekylawhite16

01.01.2022

(1/2) / (1/15) = x / 11/2 mile to 1/15 hr = x miles to 1 hr
cross multiply
1/15x = 1/2
x = 1/2 * 15
x = 15/2 or 7 1/2 miles per hr

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chanavictor2688

01.01.2022

1/2) / (1/15) = x / 11/2 mile to 1/15 hr = x miles to 1 hr

cross multiply

1/15x = 1/2

x = 1/2 * 15

x = 15/2 or 7 1/2 miles per hour

Hope this helps

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alyssaxsanchez

24.02.2021

Step-by-step explanation:

Hey there!

LHS

$= \frac{ \cos(a) }{ \tan(a) }$

Use tan A = sin A/cosA

$= \cos(a) \times \frac{ \cos(a) }{ \sin(a) }$

$= \frac{ { \cos(a) }^{2} }{ \sin(a) }$

Then, Use formula cos²A = 1-sin²A and sinA = √(1-cos²A)

$= \frac{1 - { \sin(a) }^{2} }{ \sqrt{ - { \cos(a) }^{2} } }$

Proved!

Hope it helps!

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