rory walks 62/24 of a mile to school,louise walkes 5/4 of a mile to school how much farther does rory walk

Mathematics

2 answers:

Digiron [165]2 years ago

8 0

Rory walked 2/4 of a mile more than Louise.

Debora [2.8K]2 years ago

5 0

Level out the fractions, so Rory walked 62/24, meaning Louise walked 30/24, multiplying the numerator and denominator to equal out the fractions. 62-30=32, so Rory walked 32/24 or 1 1/3 mile further

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In the figure below, BCA ~ STR. Find cos C, sin C, and tan C. Round your answers to the nearest hundredth.

arsen [322]

Answer:

$\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63$

Step-by-step explanation:

According to the trigonometric ratios in aright triangle :

$\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}$

Given: ΔBCA ~ ΔSTR

Since , corresponding angles of two similar triangles are equal.

So, ∠C = ∠T ...(i) [Middle letter]

In triangle STR

$\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63$ ...(ii)