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brilliants [131]
3 years ago
7

1. Find the products. Show your thinking. An example of how to show your thinking is provided.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0
So number 1 is B number 2 is A number 3 is B
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Which methods will determine 70% of 42?
Dennis_Churaev [7]

Answer:

C

Step-by-step explanation:

Given

(3x + 7)(2x - 6)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(2x - 6) + 7(2x - 6) ← distribute both parenthesis

= 6x² - 18x + 14x - 42 ← collect like terms

= 6x² - 4x - 42 → C

5 0
2 years ago
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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

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(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

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(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
Eric practiced piano and guitar for a total of 8 hours this week. he practiced the piano for 1/4 or that time. how many hours di
AlexFokin [52]
2 because if 1/2 of 8 is 4 and 1/4 of 8 is = to 1/2 of 4, then 1/4 of 8 must be 2.
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Damon measured his bedroom and the length measured 5.6 meters. Given that I meter = 3.28 feet, what is the length of Damon's roo
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Answer:

D) 18.37 feet

Step-by-step explanation:

5.6 x 3.28 = 18.37 feet

6 0
3 years ago
A car travels 365 miles on 8 gallons of gas and what is the Unit rate?
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It will be 45 over 1
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3 years ago
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