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mina [271]
2 years ago
10

Callie has 6 yards of green fabric and 4 yards of white fabric.Callie gives 24 inches of green fabric to her sister.How many fee

t of green fabric does Callie have left?
Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0

Answer:

16 ft  

Step-by-step explanation:

Original length = 6 yd × 3 ft/1 yd  = 18 ft

Gave away       = 24 in × 1 ft/12 in =  <u>2 ft </u>

Amount left      = 18 ft – 2 ft =          16 ft


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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)

From (i) and (ii), we have

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

4 0
3 years ago
Triangle ABC has vertices at A(2, 2), B(4,7), and C(6,2). Classify the triangle according to the side lengths.
zmey [24]

Answer:

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Step-by-step explanation:

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Length AC

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Length BC

√(6 - 4)² + (2 - 7)²

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√29

Length AB and BC is the same.

Length AC is the longest side.

Therefore, it is an isosceles triangle.

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Answer:

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Step-by-step explanation:

this is also a cube root expanded If that helps

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