A square has a side length of 36 feet. This square is dilated by a scale factor of 23
2
3
to create a new square. What is the side length of the new square?

Answer:

Step-by-step explanation:

1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.

Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]

2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{5}[/tex]

3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.

Radical form is [tex]\sqrt[5]{3^{2} }[/tex]

4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{3^{5} }[/tex]

Answer:

x=10

Step-by-step explanation:

(17+x+10+51+17)/5=21

95+x=105

x=10

The required value of x for the given mean of the data is x = 10.

In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.

Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,

Mean = ( x₁ + x₂ + x₃ + .....)/n.

Given that,

The mean of  17, x, 10, 17 and 51 is 21.

It can be written in mathematical form as,

(17+ x + 10 + 17 + 51 )/5 = 21

=> 17+ x + 10 + 17 + 51 = 21 × 5

=> x = 105 - 95

=> x = 10

Hence, for the given data the value of x is 10.

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Answer:

See below:

Step-by-step explanation:

So first, Paul has a number that he got before he multiplied it, we can call that [tex]p[/tex], and for his answer after doubling it. we'll call it [tex]n[/tex].

So with this information, we know that [tex]n=13.1[/tex] so we can use that to make an equation.

[tex]p*2=n\\p*2=13.1[/tex]

We can solve it by first dividing on both sides and getting our answer.

[tex]p=\frac{13.1}{2} \\p=6.55[/tex]

Cheers! We get our final answer of 6.55.

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

Answer:

All four

Step-by-step explanation:

SSS, SAS, ASA, and HL

Answer:

you would have to subtract the points a and b to get question a. And for c, you would have to mark it on a graph in order for it to show. I am pretty sure this is how you do it. Sorry I tried my best, plz don't come at me if it is wrong.

Step-by-step explanation:

Answer:

you need to subtract the points a and b to get the question a.  for c, you need to mark it on a graph in order for it to show. I sure this is how you do it

i tried my best

hope it helps

Answer:

9

Step-by-step explanation:

99 : 66 ( divide both parts by 11 )

= 9 : 6

Answer:

  61°

Step-by-step explanation:

We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.

  ∠PMR = 90° -29° = 61°

Answer:

95=35

35=95

x=14

y=95

x=14

Step-by-step explanation:

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

Step-by-step explanation:

Step-by-step explanation:

x = -2

is a given.

now use this also in the first equation :

y = 2/3 × -2 + 3 = -4/3 + 9/3 = 5/3

so, [-2, 5/3] is correct

Answer:

y=30

x=60

Step-by-step explanation:

The triangle has all sides equal therefore all the angles are equal.

For all the angles to be equal and add up to 180 (sum of angles in a triangle is 180), each angle has to be 60.

Therefore y=90-60

=30

x=180-(30+90)

=60

Answer:

number 3 is the answer

Step-by-step explanation:

hope u understand

Answer:

10 in

10\pi

Step-by-step explanation:

Diameter = 2× radious

[tex]c = 2 \times \pi \times r = 2\pi \times 5 = 10\pi[/tex]

Answer:

Point C

Step-by-step explanation:

Hope it can help you lovelots

Answer:

slope = - 2.25

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x + 4y = 8 ( subtract 9x from both sides )

4y = - 9x + 8 ( divide through by 4 )

y = - 2.25x+ 2 ← in slope- intercept form

with slope m = - 2.25

Umm...

What is your question??? You have no question in the question box or attachments.

Answer:

parallel lines are two lines drawn next to each other without a intersection

Answer:

The Y intercept is -10

The X intercept is 3

Answer:

180 adults, 164 children

Step-by-step explanation:

Assuming all the people admitted are children,

total fees collected

= 344($3.50)

= $1204

Difference in amount collected

= $1870 -$1204

= $666

This difference in amount is due to the extra cost from each adult admission fee that we assumed to be children.

Difference in each admission fee

= $7.20 -$3.50

= $3.70

Number of adults admitted

= $666 ÷$3.70

= 180

Number of children admitted

= 344 -180

= 164

Step-by-step explanation:

option C is correct!

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Answer: The answer is 24

Step-by-step explanation:32/8 is 4. You just multiply 6 by 4.=24

Answer:

x = 24

Step-by-step explanation:

We require

[tex]\frac{6}{x}[/tex] = [tex]\frac{8}{32}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

x = 6 × 4 = 24

Answer:

8%

Step-by-step explanation:

1 dollar is 100 cents. 1 nickel and 3 pennies is 5+3 = 8 cents. 8 cents would be 8/100 = 8% of 100.

1 nickel and 3 pennies is  5.000000681 percent of a dollar.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know 1 nickels which is equal to 5 cents = 0.05 dollars.

1 penny = 0.00000000227 dollars

∴ 3 pennies is = 0.00000000681.

∴ 1 nickel and 3 pennies = 0.05000000681.

∴ 1 nickel and 3 pennies is (0.05000000681/1)×100% of a dollar.

= 5.000000681% of a dollar.

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Answer:

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion

Step-by-step explanation:

Convert 23/4 into a mixed fraction

The height of the board is an illustration of Pythagoras theorem

The ramp will rise 10.3 inches from the ground

The angle of elevation is given as:

[tex]\mathbf{\theta = 19^o}[/tex]

The length of the board is given as:

[tex]\mathbf{l = 30}[/tex]

The height h is calculated using the following tangent ratio

[tex]\mathbf{tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]

So, we have:

[tex]\mathbf{tan(19) = \frac{h}{l}}[/tex]

This gives

[tex]\mathbf{tan(19) = \frac{h}{30}}[/tex]

Make h the subject

[tex]\mathbf{h = 30 \times tan(19)}[/tex]

[tex]\mathbf{h = 10.3}[/tex]

Hence, the ramp will rise 10.3 inches from the ground

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Answer:

The slope is unidentified

Step-by-step explanation:

The equation of the line is x=4

Answer:

6 feet and 8 inches

Step-by-step explanation:

1 foot = 12 inches

Answer: 6ft & 8 inches

Step-by-step explanation: 12 inches = 1 feet

2 feet = 24

3 feet = 36

4 feet = 36

5 feet = 60

6 feet = 72

80 - 72 = 8

6ft & 8 inches