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erik [133]
3 years ago
12

Evaluate the expression 36.6 – 24 x 22 ÷ 3

Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

Answer:

-139.4

Step-by-step explanation:

36.6 - 528 ÷ 3 = 36.6 - 176

= -139.4

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%2F7%7D%7B7%5Csqrt%7B10%7D%2F2%20%7D" id="TexFormula1" title="\frac{3/7}{7\sqrt{10}
VashaNatasha [74]

Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}

Rationalize the denominator by multiplying both numerator and denominator by √10:

\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}

8 0
3 years ago
Please help, fast! 50 points!
Nat2105 [25]

Answer: e?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Help please. I dont understand it..so I cant explain it
Ann [662]
A)
x^2 - 6x + c = - 5 + c

using a^2 - 2ab + b^2 = (a-b)^2
so
6x = 2 * x * 3
so
c = 9 

Answer
c = 9

b)
substitute c = 9
x^2 - 6x +  9 = - 5 + 9
(x - 3)^2 = 4

Answer:
(x - 3)^2 = 4

c) solve for x

(x - 3)^2 = 4
(x - 3)^2 = 2^2
so
x - 3 = 2  
     x = 5

and

x - 3 = -2
     x = 1

Answer: x = 1 , 3


8 0
3 years ago
16, 10, 5, 7, 13
yan [13]

Answer:

Mean = 10.2

Standard deviation = 4.0

Step-by-step explanation:

The average age = mean age

Mean = (16 + 10 + 5 + 7 + 13)/5

Mean = 51/5 = 10.2

What is the standard deviation will be square root of variance

(16 - 10.2) + (10 -10.2) + (5-10.2) + (7-10.2)+( 13-10.2)

5.8 + 0.2 -5.2 - 3.2 + 2.8

Square each number

33.64 + 0.04 + 27.04 + 10.24 + 7.84

Variance = 78.8/5 = 15.76

Standard deviation = 3.969 = 4.0

3 0
3 years ago
Read 2 more answers
Question 4 A circle has a radius of 14 inches. What is the circumference of the circle? 77 inches Ов 147 inches C С 2876 inches
DiKsa [7]

Answer:

A=87.92

Step-by-step explanation:

2 x pie x r

2 times 3.14 times 14

6.28 times 14

=87.92

Use the same method to solve others

8 0
3 years ago
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