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USPshnik [31]
3 years ago
5

What is YZ to the nearest tenth?A scalene triangle XYZ is given. The length between XZ is 14 and XY is 12. The angle YXZ is 98 d

egrees.
Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0

Answer:

Step-by-step explanation:

cos rule

YZ=sqrt(14^2+12^2-2*14*12*cos98deg)

=19.67

il63 [147K]3 years ago
5 0

Answer:

Step-by-step explanation:

Given two sides and the angle between, the cosine rule can be used to find the third side.

YZ^2 = XZ^2 + XY^2 - 2*XZ*XY*cos(X)

YZ = (14^2 + 12^2 - 2*14*12*cos98deg)^(1/2)

= 19.666

= 19.67

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DiKsa [7]

Answer:

  5 sets

Step-by-step explanation:

The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.

Let x represent the number of 3-piece sets. Then the total number of pieces is ...

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The total number of sets is ...

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We want the ratio of these numbers to be 5 pieces per set:

  (3x +45)/(x +7) = 5

  3x +45 = 5x +35 . . . . . multiply by (x+7)

  10 = 2x . . . . . . . . . . subtract (3x+35)

  5 = x . . . . . . . . . divide by 2

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<em>Alternate solution</em>

Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.

Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.

Altogether, the differences from average must total zero.

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3 years ago
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LenKa [72]
Two or more points are said to be collinear if they lie on the same straight line.

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i.e. 7 + 4 = 11

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Therefore, points A, B and C are not collinear.
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Answer:

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Step-by-step explanation:

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