write 11 1/5 in radical form

So the coordinates of point X' after dilation are (15, 11).

Polygon WXYZ is dilated by a scale factor of 3, with vertex W as the center of dilation. This means that the distances from vertex W to the other vertices are multiplied by 3, while W remains unchanged. Given the coordinates of point W are (3,2) and point X are (7,5), we can find the coordinates of point X' after dilation.

To do this, first determine the change in the x and y coordinates from point W to point X:

Δx =\(7 - 3 = 4\\\)
Δy =\( 5 - 2 = 3\)

Now multiply these changes by the scale factor of 3:

Δx' =\( 4 * 3 = 12\)
Δy' =\( 3 * 3 = 9\)

Now add these new changes to the original coordinates of point W to get the coordinates of point X':

X'(x) =\( W(x) + Δx' = 3 + 12 = 15\)
X'(y) = \(W(y) + Δy' = 2 + 9 = 11\)

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Answer:

(5+3) times 2 then that would be 16

Step-by-step explanation:

You are just multiplying everything inside of the Parentheses after you add them together.

Here is an easy way to remember the order of operation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Hope that helps

Equation = P(1+r)^x, where P is the initial amount invested, r is the fixed interest rate, and x is the number of years.

It is important to note that the equation provided is the formula for compound interest. P is the initial principal, r is the annual interest rate, and x is the number of years the money is invested. The equation gives the total amount of money in the account after x years.

It should be also noted that the interest rate is given as a decimal and not a percentage.

For example, if the interest rate is 5%, then r = 0.05.

In order to use this equation, the value of P, r and x should be known

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Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

Therefore, the distance from the pitching rubber to first base is approximately 36.6 feet.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here,

We can use the Pythagorean theorem to solve this problem. Let A be home plate, B be first base, C be second base, and D be the pitching rubber. We want to find the distance from D to B. Since the diamond is a square, we know that AB = BC = CD = DA = 87 feet. Let's draw a line from D perpendicular to AB, and let E be the point where the line intersects AB. Since the line is perpendicular to AB, we have AE = 58.5 feet. We want to find DE.

We can use the Pythagorean theorem on right triangle ADE:

DE² = AD² - AE²

DE² = 87² - 58.5²

DE² = 4761 - 3422.25

DE² = 1338.75

DE ≈ 36.6

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The probability of picking 2 white balls and 1 black ball is 0.154

The given parameters are:

When each ball is selected, the total number of ball decreases by 1 and the type of ball also decreases.

So, the probability is represented as:

P(2 white and 1 black) = White/n * White - 1/n - 1 * Black//n - 2

Substitute known values

P(2 white and 1 black) = 12/20 * 11/19 * 8//18

Evaluate

P(2 white and 1 black) = 0.154

Hence, the probability of picking 2 white balls and 1 black ball is 0.154

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Answer:

583

Step-by-step explanation:

The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:

Simplify,

Inverse operations,

Answer:

N = 6

Step-by-step explanation:

7 + N = 13

subtract 7 from both sides

N = 6

hope this helps

Hi!

Your answer will be: N=6

Reason being: 7+6=13

Therefore, the answer is 6.

Hope this helps!

Let me know if you need anymore help, I'd be delighted to!

Yours truly,

Answer:

B. 7

Step-by-step explanation: 6/24= 1/4 so 7/24>1/4

Yes, quadrilateral ABCD is a parallelogram.

What are the properties of parallelogram?

A parallelogram is a particular sort of polygon. It is a quadrilateral in which the opposite side pairs are parallel to one another.

Properties:

1. Opposite sides are congruent.

2. Opposite angels are congruent.

3. Consecutive angles are supplementary.

4. If one angle is right, then all angles are right.

5. The diagonals of a parallelogram bisect each other.

6. Each diagonal of a parallelogram separates it into two congruent

It is given that the coordinates of the vertices of quadrilateral ABCD are A (8, -3), B(-2, 1), C (-4,-4), and D(6, -8).

According to distance formula,

If A(a,b) and B(x,y) are two coordinates then

AB = \(\sqrt{(x-a)^{2}+(y-b)^{2}}\)

Now, using this distance formula in quadrilateral ABCD

AB = \(\sqrt{(-2-8)^{2}+(1+3)^{2}}= \sqrt{(-10)^{2}+(4)^{2}}=\sqrt{100+16}=\sqrt{116}\)

CD = \(\sqrt{(6+4)^{2}+(-8+4)^{2}}=\sqrt{10^2+(-4)^2}=\sqrt{100+16}=\sqrt{116}\)

Now, If we have two coordinates A(a,b) and B(x,y) then

Slope of AB = \(\frac{y-b}{x-a}\)

Using this formula , finding slope of AB and CD of quadrilateral ABCD we get ,

Slope of AB = \(\frac{1+3}{-2-8}=\frac{4}{-10}=\frac{2}{-5}\)

Slope of CD = \(\frac{-8+4}{6+4}=\frac{-4}{10}=\frac{-2}{5}\)

As slope of both AB and CD is equal therefore, we can say that AB and CD are parallel.

As AB = CD and AB is parallel to Cd Therefore, ABCD is a parallelogram as opposite sides of parallelogram are equal and parallel.

Hence, quadrilateral ABCD is a parallelogram.

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The cost for her to purchase the fence is $108.

Since she wants to put a wire fence around her garden which is 12 feet long and 6 feet wide, the total perimeter will be:

= 2(length + width)

= 2(12 + 6)

= 36 feet

Therefore, the cost will be:

= Total feet × Amount

= 36 × $3

= $108

Therefore, the cost for her to purchase the fence is $108.

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Answer:

y = -1.5x - 3

Step-by-step explanation:

The slope-intercept form of a line is y = mx + c where m is the slope of the line and c is the y-intercept of the line.

To find the slope of a line, you need to find the \(\frac{rise}{run}\) between two of the points. I will be using the points (-2, 0) and (0, -3).

\(\frac{rise}{run}\) = \(\frac{-3-0}{0-(-2)}\)

     = \(\frac{-3}{2}\)

     = -1.5

Now based on the graph, we see that the y-intercept is -3. Thus, the entire equation of the given line is: y = -1.5x - 3  

Answer:

your points are (1.5,0) and (0,3.5)

Step-by-step explanation:

your points are (1.5,0) and (0,3.5)

The equation for slope-intercept is y2-y1 over x2-x1

3.5-0 over 0-1.5

3.5 over -1.5

Answer:

This equals 6 1/8

Step-by-step explanation:

Hope it helps!

Answer:

6 1/8

2 1/2 becomes 5/2 then you multiply the numerator and denominator by 4

after that it becomes 20/8 than you make 3 5/8 into 29/8 and add them together which makes 49/8 but when you simplify it becomes 6 1/8

Finding the six trigonometric functions of θ: Since (-3,3) is a point on the terminal side of θ, we can use the coordinates of this point to determine the values of the trigonometric functions.

Let's label the legs of the right triangle formed as opposite = 3 and adjacent = -3, and use the Pythagorean theorem to find the hypotenuse.

Using Pythagorean theorem: hypotenuse² = opposite² + adjacent²

hypotenuse² = 3² + (-3)²

hypotenuse² = 9 + 9

hypotenuse² = 18

hypotenuse = √18 = 3√2

Now we can calculate the trigonometric functions:

sin θ = opposite/hypotenuse = 3/3√2 = √2/2

cos θ = adjacent/hypotenuse = -3/3√2 = -√2/2

tan θ = opposite/adjacent = 3/-3 = -1

csc θ = 1/sin θ = 2/√2 = √2

sec θ = 1/cos θ = -2/√2 = -√2

cot θ = 1/tan θ = -1/1 = -1

Therefore, the exact values of the six trigonometric functions of θ are:

sin θ = √2/2, cos θ = -√2/2, tan θ = -1, csc θ = √2, sec θ = -√2, cot θ = -1.

Part 2: Finding the remaining trigonometric functions given tan θ and sin θ:

Given that tan θ = and sin θ < 0, we can deduce that θ lies in the third quadrant of the unit circle where both the tangent and sine are negative. In this quadrant, the cosine is positive, while the cosecant, secant, and cotangent can be determined by taking the reciprocals of the corresponding functions in the first quadrant.

Since tan θ = opposite/adjacent = sin θ/cos θ, we have:

sin θ = -1 and cos θ =

Using the Pythagorean identity sin² θ + cos² θ = 1, we can find cos θ:

(-1)² + cos² θ = 1

1 + cos² θ = 1

cos² θ = 0

cos θ = 0

Now we can calculate the remaining trigonometric functions:

csc θ = 1/sin θ = 1/-1 = -1

sec θ = 1/cos θ = 1/0 = undefined

cot θ = 1/tan θ = 1/-1 = -1

Therefore, the exact values of the remaining five trigonometric functions of θ are:

sin θ = -1, cos θ = 0, tan θ = -1, csc θ = -1, sec θ = undefined, cot θ = -1.

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Answer:

$34.29, Gavin spent $34.29.

Step-by-step explanation:

12 ÷ 0.35 = 34.2857142857

Round to nearest hundreth: 34.29

Answer:

$4.20

Step-by-step explanation:

dozen = 12 flowers

0.35x12=4.20

Answer:

28/40

Step-by-step explanation:

The answer is x= 2/3

:) <3

Answer:

319 pages and a half

Step-by-step explanation:

Answer:

ABC = 44°

Step-by-step explanation:

ABD = 96° and EBD = 26°

Since BE bisects CBD, this means that BE cuts the angle in half, so:

CBE = 26° EBD = 26°

Add these two angles and subtract from the entire angle of ABD:

ABD - (CBE + EBD) = ABC

96° - (26° + 26°) = ABC

96° - 52° = 44°

ABC = 44°

Answer:

FG = 16

Step-by-step explanation:

Given:

If M is the midpoint of FG then:

⇒ FM = MG

⇒ 5y + 13 = 5 - 3y

⇒ 5y + 13 + 3y = 5 - 3y + 3y

⇒ 8y + 13 = 5

⇒ 8y + 13 - 13 = 5 - 13

⇒ 8y = -8

⇒ y = -1

As M is the midpoint of FG then:

⇒ FG = FM + MG

⇒ FG = (5y + 13) + (5 - 3y)

⇒ FG = 5y + 13 + 5 - 3y

⇒ FG = 2y + 18

Substitute the found value of y into the found equation for FG:

⇒ FG = 2(-1) + 18

⇒ FG = -2 + 18

⇒ FG = 16

To maintain the original volume of the pond, Talisa needs to increase the radius by a factor of √(30/36), which is approximately 0.9129.

If Talisa hits rock at 30 feet, then the depth of the pond will be limited to 30 feet. Therefore, she needs to modify the radius of the pond to maintain the original volume.

To do this, Talisa can use the formula for the volume of a circular cylinder, which is:

V = πr^2h

where V is the volume of the cylinder, r is the radius, and h is the height (or depth) of the cylinder.

Since Talisa wants to maintain the original volume of the pond, she can set the equation for the new cylinder equal to the equation for the original cylinder, and solve for the new radius, r2:

πr1^2h1 = πr2^2h2

where r1 is the original radius (unknown), h1 is the original height (36 ft), r2 is the new radius (unknown), and h2 is the new height (30 ft).

Simplifying this equation, we can cancel out the π and h1 terms:

r1^2 = r2^2(30/36)

Taking the square root of both sides, we get:

r1 = r2(√(30/36))

Thus, to maintain the original volume of the pond, Talisa needs to increase the radius by a factor of √(30/36), which is approximately 0.9129. In other words, she needs to multiply the original radius by 0.9129 to get the new radius.

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Answer:

3

Step-by-step explanation:

pretty simple if she has 8 it wouldnt make sense

5 that means shell have 6 simed with $1.25 worth of money

sooooooooo yeah

Answer:

1. x = 0

2. x= 0

3. x = 10

4. x = -4

5. x = 0

6. x = -1

Answer:

144

Step-by-step explanation:

bc 6 tennis courts x 24 equals 144 sorry if it's wrong

Answer:

Step-by-step explanation:

Answer:

-9+6y

Step-by-step explanation:

:)

Answer:

A

Step-by-step explanation:

70-271=20

Answer: it's 7/10

Step-by-step explanation:

the 49 simplifies to 7, and the 100 simplifies to 10

x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

Two or more expressions with an Equal sign is called as Equation.

-2(x-4)=4

-2(2-4)=4

4=4

Hence, x=2 is the solution

26/x=13

Now x=2

26/2=13

13=13

Hence, x=2 is the solution

-3.8x=-7.4

Now x=2

-3.8×2=-7.4

-7.6=-7.4

x=2 is not a solution of -3.8×2=-7.4

4(x - 1) – 3(x - 2) = -8

4(2-1)-3(2-2)=-8

4=-8

x=2 is not a solution of -3.8×2=-7.4

Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

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