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DerKrebs [107]
1 year ago
9

I need help 0.259 written out as a fraction or mixed number?

Mathematics
1 answer:
oksano4ka [1.4K]1 year ago
4 0

1) To write 0.259 as a fraction let's firstly rewrite as

\frac{259}{1000}

2) Count the digits the dot has gone to the left. Each digit to the left means divided by ten. Like this:

3) Since it starts with a zero then it can't be a Mixed number. So it is an improper fraction. No further simplification could be done.

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Prove that:<br><br>cos20°cos40°cos80°=1/8​
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Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

= \frac{1}{2sin20} (2sin20°cos20°)cos40°cos80°

= \frac{1}{4sin20} (2sin40°cos40°)cos80°

= \frac{1}{4sin20} (sin80°cos80° )

= \frac{1}{8sin20} (2sin80°cos80° )

= \frac{1}{8sin20} . sin160°

= \frac{1}{8sin20} . sin(180 - 20)°

= \frac{1}{8sin20} . sin20°

= \frac{1}{8} = right side , thus proven

7 0
2 years ago
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Help me what to write a word phrase for each algebraic expression. Please help.
andrezito [222]
#1:  The sum of q and 5 
#2:  Twelve times x

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3 0
2 years ago
Find the isosceles triangle side lengths
garik1379 [7]
You haven't included a diagram, however, if it's an isosceles triangle 2 of its sides will be the same and 1 will be different
7 0
3 years ago
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When the shape of a bst approaches that of a perfectly balanced binary tree, what is the worst case performance characteristic o
irga5000 [103]

The shape of a bst approaches that of a perfectly balanced binary tree, (log2n) is the time complexity for a balanced binary search tree in case of insertions and search.

In computing, binary bushes are mainly used for looking and sorting as they offer a way to save statistics hierarchically. a few common operations that may be conducted on binary trees encompass insertion, deletion, and traversal.

A binary tree has a special situation that each node could have a most of two youngsters. A binary tree has the benefits of each an ordered array and a linked listing as search is as brief as in a taken care of array and insertion or deletion operation are as fast as in related listing.

In pc science, a binary tree is a tree information shape in which every node has at maximum two youngsters, that are known as the left baby and the proper toddler.

Learn  more about binary trees here brainly.com/question/16644287

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7 0
2 years ago
Trapezia ABCD and PQRS are similar.<br> Find the area shaded in green.
avanturin [10]

The area shaded in green is 864 cm²

<h3>Similar figures</h3>

Similar figures, corresponding angles are congruent and the sides are ratio of each other. Therefore,

AB / PQ = CD / RS

30 / 10 = 24 / RS

30RS = 240

RS = 240 / 30

RS = 8 cm

let find the height of trapezium PQRS.

AB / PQ  = 36 / h

30 / 10 = 36 / h

30h = 360

h = 360 / 30

h = 12 cm

Therefore,

area of the green portion = area of ABCD - area of PQRS

<h3>Area of a trapezium</h3>
  • area = 1 / 2(a + b)h

Therefore,

area of ABCD = 1 / 2(24 + 30)36 =  1 / 2 (54)36 = 1944 / 2 = 972 cm²

area of PQRS = 1 / 2(10 + 8)12 = 1 / 2(18)12 = 216 / 2 = 108 cm²

Area of the green portion = 972 - 108 = 864 cm²

learn more on trapezium here: brainly.com/question/11961445

6 0
2 years ago
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