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Bumek [7]
2 years ago
7

Use ΔDEF, shown below, to answer the question that follows

Mathematics
1 answer:
AVprozaik [17]2 years ago
8 0
Using sine rule, 55 / sin 90 = x / sin(90 - 49)
55 / 1 = x / sin 41
x = 55 sin 41 = 36.08
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The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?
julia-pushkina [17]

The perpendicular line would have a slope of A) -3/2.

Perpendicular lines have opposite and reciprocal slopes.

To do the opposite, take the original slope (2/3) and change the sign (-2/3).

To do the reciprocal, take the slope we changed (-2/3) and flip it as a fraction (-3/2).

This gives us a new slope of -3/2.

5 0
3 years ago
Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras
Viktor [21]

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

3 0
3 years ago
Express each percent as a fraction in the simplest form.<br> 1. 56 1/4 % 2. 15 3/5 % 3. 13 1/3 %
s344n2d4d5 [400]

Answer:

1. 9/16

2. 39/250

3. 12/15

Step-by-step explanation:

3 0
2 years ago
Factor this expression completely<br><br>-21x + 28​
pickupchik [31]
-21x+28 is factored into:

-7(3x-4)

3 0
2 years ago
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Answer:

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Step-by-step explanation:

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