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allsm [11]
3 years ago
7

What is the measure of angle RPS?

Mathematics
2 answers:
liq [111]3 years ago
8 0

Answer:

70

Step-by-step explanation: the type of angle it is

Anastasy [175]3 years ago
7 0

Answer:

∠RPS = 70°

Step-by-step explanation:

∠RPT is a right angle and

∠RPS + ∠SPT = ∠RPT ← substitute values

∠RPS + 20° = 90° ( subtract 20° from both sides )

∠RPS = 70°

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Without using a calculator, order the following expressions from least to greatest.
LekaFEV [45]

Answer:

\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}

Step-by-step explanation:

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Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.

( 2 ) √20

\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}

We know that \displaystyle \large{\sqrt{4}=2} so \displaystyle \large{\sqrt{5} > \sqrt{4}} which means approximately, \displaystyle \large{\sqrt{20}} can be either at least 4.3 up to 4.4

( 3 ) √17

We know that \displaystyle \large{\sqrt{16} = 4} so \displaystyle \large{\sqrt{17}} can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since \displaystyle \large{\sqrt{a} > \sqrt{b}} for a > b

Hence, from least to greatest:

\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}

4 0
2 years ago
How do you do q.29 and show how to work it out.If u want
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To find the number of comedy DVDs Sally owns, you need to figure out what 20% of 60 DVDs is. So you multiply 20% by 60. 20% = 20/100. So 20/100 x 60 = 60/5 which equals 12. 
Sally owns 12 Comedy DVDs.
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3 years ago
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