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mamaluj [8]
3 years ago
15

Divide 3÷48.33 and 2÷8.8

Mathematics
2 answers:
kvv77 [185]3 years ago
6 0

Answer:

16.11 and 4.4

Step-by-step explanation:


Zigmanuir [339]3 years ago
3 0
First is 0.06 and second 0.2
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Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
3 years ago
A cylinder has a diameter of 24 inches. If its height is half its radlus, what is the volume of the cylinder in cubic Inches?
ella [17]

Answer:

about 2714.34 in^3

Step-by-step explanation:

24/2=12--radius

12/2=6--height

formula is V=(pi)(r^2)(h)

r is for radius and h is for height

V=(pi)(12*12)(6)

V=(pi)(144)(6)

V=(pi)(864)

V= about 2714.34 in^3

4 0
3 years ago
Does the zoo have enough leaves too feed 5 elephants and 8 giraffes
aleksley [76]

Answer:

yeah probably

Step-by-step explanation:

3 0
3 years ago
CCSS Math 7
Andre45 [30]

Answer:

1.

a = 112

b = 68

c = 68

2.

a = 127

3.

a=35

b=40

c=35

d=70

4.

a= 30

b=70

c = 30

d=70

e = 130

I'll help you with the rest later

Step-by-step explanation:

a = 112 because of allied angles rule

b and c = 68 because of angles at a point

360-112-112 ÷2

2. a = 127 because of angles on a straight line rule.

180-38-15

3. d= 70, vertically opposite angle

using angles on a straight line, 180 - 70 - 40 ÷ 2

we now have the two angles and because they are vertically opposite a and c = 35

b = 40 because of vertically opposite angles

4. a=30 because 90-70

since a=30, take 90 - 30 to get b, 70

d= 70, vertically opposite angles

e = 130 because a+b+c, vertically opposite angles

7 0
2 years ago
Evaluate ab+3b-a-5ab+2b if a= -3 and b=2
Paha777 [63]
Replace all variables in the given equation with the given values.

-6+6+3+30+4

Answer: 37
4 0
3 years ago
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