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Ksenya-84 [330]
3 years ago
10

Nevermind cannot find photot

Mathematics
1 answer:
Elis [28]3 years ago
4 0
Ok well you could just type the question then we could help
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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°.

5 0
3 years ago
:) Ramesh can complete a piece of work in 10 days. He worked for 4 days and left. If
IRINA_888 [86]

Answer:

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Step-by-step explanation:

3 0
2 years ago
two sequences have the formulae 3n-1 and 7n+2 . A new sequences is formed by the number which appear in both of these sequences.
dangina [55]

Answer:

65+42*(n-1)

Step-by-step explanation:

aₙ = 65+42*(n-1)

65, 107, 149, 191, .....

5 0
3 years ago
4(x+4) + 2x = 52 need answer
Phoenix [80]

Answer:

x=6

Step-by-step explanation:

3 0
3 years ago
What is the volume (in cubic centimeters) of a cube with 4cm sides?
vova2212 [387]
I think it is 64 just multiply 4 times 4 times 4 because of the sides and to find volume you need to multiply the sides and the height so it should be 64.   
8 0
3 years ago
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