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dolphi86 [110]
2 years ago
5

Rodger has $2.30 in dimes and nickels. They're five more dimes than nickels. Find the number of each kind of coin that he has​

Mathematics
1 answer:
Neporo4naja [7]2 years ago
5 0

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ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD
FromTheMoon [43]

Answer:

  • 5.8206 cm
  • 10.528 cm
  • 23.056 cm^2

Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

  BD/sin(48°) = BD/sin(50°)

  BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

__

(b) We can use the Law of Cosines to find AD.

  AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

  AD^2 ≈ 110.841

  AD ≈ √110.841 ≈ 10.5281 . . . cm

__

(c) The area of ∆ABD can be found using the formula ...

  A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

  A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

_____

Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

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3 years ago
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It should be D. Because the equation is 2(width+ height + length

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The area of rectangle ABDE is 270 square inches. The rectangle is rotated about a line that passes through points C and F. Recta
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Answer:

The answer is <u>C : a cylinder with a base radius of 9 inches</u>

Step-by-step explanation:

The area is 270² inches,  and to find the area of a rectangle is width × length . So the equation would be 270 = W × L, which would convert to 270 = W × 15 and 15 times 18 equals 270. But that is not thew answer because you would need top find the radius of the cylinder which is half of the width of the rectangle which means the radius is 9. So the answer is a<u> cylinder with a base radius of 9 inches. </u>

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