Rewrite each of the following radicals as a rational number or in simplest radical form. a. √3(√3-1)b. (5+√3)²c. (10+√11)(10-√11)
Answers
Answer:
a. Rational number 1.26
Simplest radical 3−√3
b. Simplest radical 28+10√3
Rational number 45.32
c. Rational number 89
Step-by-step explanation:
a. √3(√3-1)
To get the simplest radical
Apply the distributive property.
√3*√3-√3
Combine using the product rule for radicals.
√3*3+√3*−1
Move −1 to the left of √3.
√3*√3*3-1*√3
Multiply 3 by 3.
√9−1*√3
Rewrite 9 as 3^2
√3^2-1 *√3
Pull terms out from under the radical, assuming positive real numbers.
3−1*√3
Rewrite −1√3 as −√3.
3−√3
Rational number 1.26
b. (5+√3)²
Expand
(5+√3)²= 25 +5*√3+5*√3+3= 28 +10√3
Simplest radical 28+10√3
Rational number 45.32
c. (10+√11)(10-√11)
Expand
(10+√11)(10-√11)= 10*10+ 10*-√11+10*√11+√11*-√11
=100+ 10*-√11+10*√11- 11
=89- 10*√11+10*√11
=89
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5/12 = 0.416.....multiply by 100 to get the percent.....= 41.6%
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So,
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Answers
1 mile ≈ 1,609.34 m
Time of traveling one way:
From Earth to the Moon and back time is: 2 · 1.28 s = 2.56 s
Use až 3.14 and round your answer to the nearest hundredth.
11 cm
----
15 cm
cubic centimeters
Answers
Answer:
570 cm³
Step-by-step explanation:
V=πr²h
V= 3.14*11²*15
V= 5699.1
Round answer:
V= 570 cm³
Answer:
Step-by-step explanation:
V=πr2h=π·112·15≈5701.99067
5701.99 is your final answer
Have a nice day:)
1150
900
65°
Answer:
degree.
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The measure of the missing angle in the similar trapezoid is 90°.
In the given trapezoid the measure of angles are 90°, 115°, 90° and 65°.
What are similar figures?
Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.
Given that, the two trapezoids are similar
Here, the measure of the missing angle in the other trapezoid is 90°
Therefore, the measure of the missing angle in the similar trapezoid is 90°.
Learn more about the similar figure here:
brainly.com/question/20368229.
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the answer is would have to be 900