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murzikaleks [220]
3 years ago
14

Points A, B, C, D, E, and F are located on the number line. A number line going from Negative 1 and StartFraction 3 Over 8 EndFr

action to StartFraction 3 Over 8 EndFraction in increments of StartFraction 1 Over 8 EndFraction. Point E is at negative 1 and StartFraction 2 Over 8 EndFraction. Point B is at negative 1. Point D is at negative StartFraction 7 Over 8 EndFraction. Point C is at negative StartFraction 2 Over 8 EndFraction. Point A is at 0. Point F is at StartFraction 2 Over 8 EndFraction. Which statements are true about the numbers represented by the points? Check all that apply. The number represented by Point C is equal to the number represented by Point F. Point A is neither greater nor less than the numbers represented by the other points. Point D represents a number less than the number Point C represents. Point A represents a number greater than the number Point F represents. Point E represents the smallest number of all the numbers represented by points.
Mathematics
1 answer:
telo118 [61]3 years ago
8 0

Answer:

The true statements are;

Point D represents a number less than the number Point C represents

Point E represents the smallest number of all the numbers represented by points

Step-by-step explanation:

The given information are;

The number line with points are

-1\frac{3}{8} , -1\frac{1}{4} , -1\frac{1}{8} , -1..., \frac{3}{8}

In decimal format, with Microsoft Excel and Word, we have;

-1.375, -1.25, -1.125, -1, -0.875, -0.75, -0.625, -0.5, -0.375, -0.25, -0.125, 0, 0.125, 0.25, 0.375

We have, E = -1.25, B = -1, D = -0.875, C = -0.25, A = 0, F = 0.25

The correct options are;

Point D = -0.875 < Point C = -0.25

Point E = -1.25 which is the second number on the number line and the smallest number of the numbers represented by points

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Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

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Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

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B = sin^{-1}(0.8195)

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Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

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a = 20 (approximated)

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