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OLga [1]
3 years ago
5

The figure shown represents a triangular window design. If IKL = JOP, which of

Mathematics
1 answer:
ankoles [38]3 years ago
7 0

ikl=opj

Step-by-step explanation:

triangle is opj

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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
Krystal can wax a floor in 16 minutes. Perry helped her and it took 5.76 minutes. How long would it take perry to do it alone?
finlep [7]
<span>Krystal's rate = 1 floor in 16 min. = 1/16 floors per min.

Working together their rate = 1 floor in 5.76 min. = 1/5.76 floors per min.

We need to determine Perry's rate, so we need to equate their combined rate with the sum of the individual rates.

Let Perry's time = x

In equation form, we can write:
1/16 + 1/x = 1/5.76
Solve for x:

(x+16)/16x = 1/5.76 -> 5.76(x+16) = 16x -> 10.24x = 92.16 -> x = 9

So, Perry would take 9 mins. to do the floor alone.

I hope this helped!
Please Rate & Thank!
Please mark as Brainliest!

Have a wonderful night! : )</span>
8 0
3 years ago
Expand (a+b)^7 using pascal triangle
Inga [223]

(a+b)^7= a^7+ 7a^7b+ 21 a^6b²+ 35a^5b³+ 35 a⁴b⁴+ 21 a³b^5 + 7a²b^6 + b^7

8 0
3 years ago
Which number would be greater, the height of a tree in feet or the height of the same tree in yards.
Lelechka [254]

Answer:

The height of the tree in feet would be the larger number

6 0
3 years ago
Solve the equation below.<br><br> 1.2m+0.65=5
andrew-mc [135]

Answer:

m = 3.625

Step-by-step explanation:

1.2m + 0.65 = 5

~Subtract 0.65 to both sides

1.2m = 4.35

~Divide 1.2 to both sides

m = 3.625

Best of Luck!

5 0
3 years ago
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