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Natasha_Volkova [10]
2 years ago
14

Which expressions represent rational numbers? check all that apply. startroot 6 endroot startroot 9 endroot startroot 64 endroot

startfraction 6 over 11 endfraction startroot 36 endroot startroot 21 endroot startroot 16 endroot startroot 169 endroot 17.modifyingabove 43 with bar startroot 49 endroot startroot 44 endroot startroot 25 endroot
Mathematics
2 answers:
pickupchik [31]2 years ago
6 0

Answer:

D and E

Step-by-step explanation:

A= √6+√9

=2.44948974278+3

=5.44948974278

B= √64+6/11

=8+0.5454545455

=8.5454545455

C= √36+√21

=6+4.58257569496

=10.582575695

D=√16+√169

=4+13

<em>=17</em>

E=17.43+√49

=17.<u>43</u>+7

<em>=24.43</em>

F=√44+√25

=6.63324958071+5

=11.6332495807

dimaraw [331]2 years ago
3 0

Answer:

Which statements about square roots are true? Check all that apply.

The square root of a positive number cannot be negative.

All positive numbers have two square roots.

StartRoot 18 EndRoot= 9 because 9(2) = 18.

StartRoot 49 EndRoot= 7 because 7(7) = 49.

StartRoot 25 EndRoot = 5 because 52= 25.

Step-by-step explanation:

B,D, and E

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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
goldfiish [28.3K]

Answer:

wire for square to maximize total area = 23 m

Wire to minimize total area = 2.019 m

Step-by-step explanation:

For the square, let's say the total length of the square is "y" m.

Thus, length of one side is = y/4

And area of the square = (y/4) = y²/16

Since the wire is 23 m, then total length of equilateral triangle is; 23 - y.

Thus, length of one side of equilateral triangle = (23 - y)/3

Using trigonometric ratio, we can find the height of the triangle and thus area.

Area of triangle = (√3)/4) × ((23 - y)/3)²

Area of triangle = (√3)/36)(23 - y)²

So, total area of square and triangle is;

A_total = (y²/16) + (√3)/36)(23 - y)²

Now, extremizing this function by derivatives, we have;

dA/dy = (y/8) - (√3)/18)(23 - y)

d²A/dy² = ⅛ + (√3)/18)

So, d²A/dy² > 0

Now,let's find the maximum or minimum of the function.

So, we equate dA/dy to zero.

Thus;

(y/8) - (√3)/18)(23 - y) = 0

y/8 = (√3)/18)(23 - y)

(y/8) + (√3)/18)y = 23((√3)/18)

Multiply through by 8 to give;

y + 0.0962y = 2.2132

1.0962y = 2.2132

y = 2.2132/1.0962

y = 2.019 m

2.019 will be a minimum because d²A/dy² > 0

The maximum will occur at a boundary of the allowed values. Thus, the absolute maximum is for y = 23.

Note that a square has more area than a triangle and as such it is normal for the square to get the largest area over the triangle and therefore we will have to use all of the wire to construct the square.

6 0
4 years ago
Factor: 28k^3-24k^2+49k-42<br><br> I will give Brainliest to the first person :)
seropon [69]

Answer:

(4k^2+7)(7k-6)

Step-by-step explanation:

Factor each half of the expression separately:

4k^2(7k-6)+7(7k-6)

Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:

(4k^2+7)(7k-6)

5 0
3 years ago
Read 2 more answers
4. If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second
uysha [10]

Answer:

1/16

Step-by-step explanation:

Given in comment:

5,4,3,2 = Spinner

Thus, there are 4 possible answer

Given:

If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?

1/16

3/16

1/8

1/4

Solve:

Knowing that there only <u>One 5 and One 2 on the spinner.</u>

Thus, in fraction form - 1/4 and 1/4

Probability land on 5 = 1/4

Probability land on 2 = 1/4

Because there are 4 possible solution and one of each is 5,4,3,2

Now, multiply then together:

1/4 × 1/4 = {1 ×1 = 1 and 4 × 4 = 16}

Put Together:

1/16

Hence, the answer is " The Probability that the spinner will land on 5 on the first spin and 2 on the second spin is 1/16  

<em>~Lenvy~</em>

5 0
3 years ago
Read 2 more answers
Franco made a dozen muffins for his party. Upon taking them out of the oven,
Naddik [55]

Answer:

Option B.

Step-by-step explanation:

This question is incomplete; find the complete question with the attachment.

Franco made number of muffins = a dozen

A dozen muffins = 12 muffins

Number of muffins were burned = 2

Remaining muffins = 12 - 2 = 10

Franco served 7 of the remaining non-burned muffins,

Fraction of muffins served = \frac{7}{10}

Remaining muffins = 3

Fraction of remaining muffins = \frac{3}{10}

Fraction of remaining non-burned muffins we can get from,

\frac{10}{10}-\frac{7}{10}=\frac{3}{10}

Option B is the correct equation.

7 0
4 years ago
315,728 rouned to the nearest ten thousand
Masja [62]

Answer:

320,000 is the answer

Step-by-step explanation:

have a good day!!

8 0
3 years ago
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