The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.

Answer:

breadth = 3.5 m

Step-by-step explanation:

length = 15.6 m

Area of rectangle = 54.6 sqm

breadth = [tex]\frac{Area}{length}[/tex]

             [tex]= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5[/tex]

Answer:

256

Step-by-step explanation:

Given. :

2⁴ / 2^-4

2⁴ = 2 * 2 * 2 * 2 = 16

2^-4 = 1/2⁴ = 1 / (2 * 2 * 2 * 2) = 1 / 16

16 ÷ (1 /16)

16 * 16 /1

= 256

Answer:

Step-by-step explanation:

1/256 i believe

Answer:

13.  (1) x + 8x = 32

14.  $337.5

Step-by-step explanation:

14. $270 x 0.25 = 67.5

270 + 67.5 = 337.5

I am sorry. I only got these-

Answer:

$362.25

Step-by-step explanation:

Profit made per product :

Soft pretzel = $5.25 - $3.50 = $1.75

Candied apple = $3.50 - $1.75 = $1.75

For every 2 candied apple sold, 7 soft pretzel is sold :

If 161 sold pretzel is sold, the number of candied apple sold will be :

(161 / 7) * 2

23 *. 2 = 46 candied apple was sold

Profit made on product sold :

Soft pretzel = $1.75 * 161 = $281.75

Candied apple = $1.75 * 46 = $80.5

$(80.5 + 281.75) = $362.25

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

Work Shown:

k = scale factor

k = (OF ')/(OF)

k = (OF ')/(OF ' + F ' F)

k = (3)/(3 + 10)

k = 3/13

The scale factor of the dilation of triangle DEF is 3/10.

The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.

We have a triangle DEF is dilated to smaller triangle D'E'F' .

As, the length of OF' =  3 and F'F = 7.

So, the scale factor of dilation is

OF' / OF = 3 / 10.

Thus, the scale factor is 3/10.

Learn more about Dilation here:

https://brainly.in/question/30389359

#SPJ2

Answer:

(3x - 5)²

Step-by-step explanation:

When we expand (3x - 5)², we get:

(3x - 5) (3x - 5)

When we multiply, we get:

9x² - 30x + 25

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Have a great summer :)

Answer:(3x-5)(3x-5)

Step-by-step explanation: it's the answer for

Answer:

[tex]Amount = 49 + 14.99k[/tex]

Step-by-step explanation:

Given

[tex]Books = 24[/tex]

[tex]Another\ Store = 25[/tex]

[tex]Model = k[/tex]

Cost of [tex]Model = 14.99[/tex] --- Missing from the question

Required

Represent the amount spent

The amount is calculated as:

[tex]Amount = Books + Another\ Store + Model * Cost[/tex]

[tex]Amount = 25 + 24 + k * 14.99[/tex]

[tex]Amount = 49 + 14.99k[/tex]

Answer:

Given- O is the centre of a circle in which an equilateral ΔPQR has been inscribed.

To find out- ∠QOR=?

Solution- The points P, Q & R are on the circumference of the circle since ΔPQR has been inscribed in the circle. Now the chord QR subtends ∠QOR to the centre O and ∠QPR to the circumference at P.

∴ By rule, ∠QOR=2∠QPR.........(i).

Now PQR is an equilateral Δ. Each of its angle is 60

o

. i.e ∠QPR=60

o

.

So, from (i), ∠QOR=2∠QPR=2×60

o

=120

o

.

Ans- Option B.

solution

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

Answer:

Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000

Step-by-step explanation:

9.22   = 9.2200

9.202 = 9.2020

9.8      = 9.8000

9.2211  = 9.2211

Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.

Arranging : 9.2200, 9.2020, 9.2211, 9.800

So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]

Arranging : 9.2020 , 9.2200, 9.2211, 9.8000

Now compare  the numbers in tenths , hundredths and thousandth place :

[220, 202, 800, 221 ]

Arranging : 9.202, 9.220, 9.221, 9.800

Now compare all the four numbers and arrange :

[ 2200, 2020 , 8000, 2211 ]

Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000

Answer: $17.85

Step-by-step explanation:

The tax on the T-shirt is 5% and the price is $17.

To find the after-tax cost, first find the tax amount:

= 5% * 17

= $0.85

Then add this tax amount to the price to find the after-tax amount:

= 17 + 0.85

= $17.85

Answer:

1.5 square miles

Step-by-step explanation:

First divide 1 by 0.5 which is 2. that means you also divide 3 by 2 which is 1.5.

Answer:

126

Step-by-step explanation:

area of a triangle = base ×height/2

so 18×14/2= 126cm2

hope this helps you understand:)

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k\\}{x^2}[/tex] ← k is the constant of variation

To find k use any ordered pair from the table.

Using (1, 4 ) , then

4 = [tex]\frac{k}{1^2}[/tex] = [tex]\frac{k}{1}[/tex] ( multiply both sides by 1

4 = k

y = [tex]\frac{4}{x^2}[/tex] ← equation of variation

(b)

When y = 25 , then

25 = [tex]\frac{4}{x^2}[/tex] ( multiply both sides by x² )

25x² = 4 ( divide both sides by 25 )

x² = [tex]\frac{4}{25}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{4}{25} }[/tex] = ± [tex]\frac{2}{5}[/tex]

Since x > 0 then x = [tex]\frac{2}{5}[/tex]

Answer:

[tex]b=11, b=17[/tex]

Step-by-step explanation:

To get rid of the parenthesis, distribute:

[tex]b(28-b)=187,\\28b-b^2=187[/tex]

Move all terms to one side and factor:

[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]

Answer:

b = 11, 17

Step-by-step explanation:

=> (28 - b) × b = 187

=> 28b - b² = 187

=> 28b - b² - 187 = 0

=> b² - 28b + 187 = 0

=> b² - 11b- 17b + 187 = 0

{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }

=> b (b - 11) - 17(b - 11) = 0

=> (b- 11)(b - 17) = 0

(b - 11) = 0

=> b = 11

(b - 17) = 0

=> b = 17

therfore,

Step-by-step explanation:

x^2-6x-6x+36=0

x(x-6)-6(x-6)=0

(x-6)(x-6)=0

x=6

Answer:

A

Step-by-step explanation:

beacuse it is more reasonable hope this helps

Answer:

s + 178 = Abha's Can's

Step-by-step explanation:

Well since Abha collected 178 more cans than Shane, it would be Shane's amount of cans they collected AND 178 cans on top of that.

(i didnt know if you wanted the solution of s or just the equation on how to find s)

1. 1080°

2. 36°

3. 27 diagonals

4. 140°

5. 7 sides

1. The sum S of the interior angles of a polygon is given by;

S = (n-2) x 180°

Where;

n = number of sides of the polygon.

Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;

S = (8 - 2) x 180°

S = 6 x 180°

S = 1080°

Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°

2. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a regular decagon where the number of sides n = 10, the sum is;

S = (10 - 2) x 180°

S = 8 x 180°

S = 1440°

Since the decagon is regular, then each of its interior angles is given by;

1440° / 10

=> 144°

Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;

The exterior angle of a regular decagon is;

180° - 144° = 36°

Therefore, the exterior angle of a regular decagon is 36°

3. The number of diagonals N of a polygon with n sides is given by;

N = [tex]\frac{1}{2} n(n-3)[/tex]

So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;

N = [tex]\frac{1}{2}*9(9-3)[/tex]

N = [tex]\frac{1}{2}*9(6)[/tex]

N = 9(3)

N = 27

Therefore, a nonagon has 27 diagonals.

4. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a nonagon where the number of sides n = 9, the sum is;

S = (9 - 2) x 180°

S = 7 x 180°

S = 1260°

Since the nonagon is regular, then each of its interior angles is given by;

1260° / 9

=> 140°

Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°

5. The sum of the interior angles of a polygon is given by;

S = (n - 2) x 180°

So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;

900° = (n - 2) x 180°

Divide through by 180°

5 = (n - 2)

Solve for n;

n = 5 + 2

n = 7

Therefore, the regular polygon has 7 sides.

Answer:

C: m∠WXY + m∠YXZ = 180°

Step-by-step explanation:

edu is annoying to do, i got you :)

C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.

Answer

X=25

Step-by-step explanation:

Answer:

72 m^3

Step-by-step explanation:

volume of the kiosk = volume of cylinder + volume of cone

volume of a cylinder = nr^2h

n = 3.14

r = radius = 5/2 = 2.5

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x (2.5^2) x 3 = 58.88  

Volume of a cone = 1/3(nr^2h)

3.14 x 1/3 x (2.5^2) x 2 = 13.08

13.08 + 58.88 = 71.96

To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

= 72 m^3

Answer:

7 and 11

Explanation:

Prime numbers are numbers that have only 2 factors; one and themselves.

Hope this helps!

Answer:

Only 7 and 11 are prime.

Step-by-step explanation:

prime numbers are numbers whose factors are only one and them selves

Answer:

The margin of error of his experiment is of 0.1074.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

30 M & M's from a bag, and 3 of them are green.

This means that [tex]n = 30, \pi = \frac{3}{30} = 0.1[/tex]

Standard 95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.1*0.9}{30}}[/tex]

[tex]M = 0.1074[/tex]

The margin of error of his experiment is of 0.1074.

Answer:

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Answer:

B

Step-by-step explanation:

Answer:

5tan25°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan25° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{CA}{5}[/tex] ( multiply both sides by 5 )

5tan25° = CA