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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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I am a fraction equivalent to 6/8 my numerator is 16 less than my denominator what fraction am i
Paul [167]

Answer:

The answer is

\frac{48}{64}

Step-by-step explanation:

Equivalent fractions are set of fractions which have the same value when simplified.

The equivalent fraction to 6/8 whose numerator is 16 less than its denominator can be obtained through two basic methods below.

<u>Method 1</u>

Multiply the numerator and denominator by 8 respectively.

\frac{6}{8}  =  \frac{6 \times 8}{8 \times 8}  =  \frac{48}{64}

The numerator being 16 less than the denominator is:

48 - 64 =  - 16

<u>Method 2</u>

Find the equivalent fraction to 6/8 whose numerator is 16 less than its denominator by continuous multiplication approach. In other words, multiply 6/8 till you arrive at an equivalent fraction whose numerator is 16 less than its denominator. Simply multiply 6/8 by 2, 3, 4, 5, 6, 7, 8. Thus:

\frac{6}{8}  =  \frac{12}{16}  =  \frac{18}{24}  =  \frac{24}{32}  =  \frac{30}{40}  =  \frac{36}{48}  =  \frac{42}{56}  =  \frac{48}{64}

The difference between the numerator and denominator of the equivalent fractions are: -2, -4, -6, -8, -10, -12, -14, -16

Hence, 48/64 is the equivalent fraction to 6/8 whose numerator and denominator difference is less than 16.

That is,

\frac{6}{8}  =  \frac{48}{64}

Such that 48 - 64 = -16.

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