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maw [93]
3 years ago
13

Find the rationalising factor of the irrational number

="TexFormula1" title=" - 6 \sqrt{5} " alt=" - 6 \sqrt{5} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
telo118 [61]3 years ago
8 0
Answer: sqrt(5)

Explanation:

sqrt(5) is the rationalizing factor of -6sqrt(5) because -6sqrt(5) • sqrt(5) = -6 • 5 so now there is no longer any square root.
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Paul says that (3.14 x 10^5) + (2.53 x 10^4) = 5.67 x 10^5. Is Paul correct? i need a explaining
sdas [7]

Answer: It’s not correct, the equality is false. The reasoning behind this is the equality is the left-hand and right-hand side are different when you do the math.no

6 0
3 years ago
Please help me out with this math problem
Novosadov [1.4K]
Answer: 74.8%

This answer is approximate.
The value is rounded to the nearest tenth of a percent.

==========================================

Explanation:

Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y

The goal is to compute the ratio Z/X to get the answer we want

Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi

Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi

Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region

Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate

Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%

Then round this to one decimal place
74.812% ---> 74.8%

5 0
3 years ago
If &lt; A and &lt; B are vertical angles, and &lt; A = 2x - 11 degrees, and &lt; B = x + 7 degrees, find x.
Tema [17]

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) 2x-11=x+7

2) x-11=7

3)x=18

7 0
4 years ago
Solve the inequality <br> 42 &lt; -6d
sergiy2304 [10]
-6d > 42
d < 42 / (-6)
d < -7
8 0
4 years ago
Fifth grade
Kitty [74]

The fraction of the original mass that was lost in the second month is 1/12.

<h3>What is the fraction?</h3>

A fraction is a non-integer that is made up of numerators and denominators. An example of a fraction is 1/10.

Weight lost in the first month = 1/6 x 120 = 20kg

Weight lost in the second month = 1/10 x (120 - 20)

=  1/10 x 100 = 10kg

Fraction of the original mass that was lost in the second month : weight lost in the second month / total mass

10 kg / 120 = 1/12

To learn more about multiplication of fractions, please check: brainly.com/question/1114498

#SPJ1

6 0
2 years ago
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