The area of a circle is 25.12 square yards. If the dimensions of the circle are tripled, what will be the area of the new figure?

1. 226.08 yd 2
2. 8.37 yd 2
3. 75.36 yd 2
4. 150.72 yd 2

Answer:

the answer is 12

Step-by-step explanation:

d=2r=2*6.2=12.4

Answer:

30miles

Step-by-step explanation:

As you can see in the graph, the distance between tim and jan is creating 2 right triangles

You can solve this using pythagoras theorem,

Triangle (1) :

\( x^{2} = {5}^{2} + {12}^{2} \\ {x} = \sqrt{{5}^{2} + {12}^{2} } \\ = \sqrt{169 } \\ = 13\)

X (1) = 13 miles

Triangle (2):

\( {x}^{2} = {15}^{2} + {8}^{2} \\ x = \sqrt{ {8}^{2} + {15}^{2} } \\ = \sqrt{289} \\ = 17 \)

X(2) = 17 miles

Now, the distance = x(1) + x(2)

= 13 + 17

=30 miles

Therefore, Tim and Jan are 30 miles apart

The difference between the number of actual outcomes and the number of expected outcomes is given as follows:

3 outcomes.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probabilities are given as follows:

Hence the composite probability of the two independent events is given as follows:

1/2 x 1/4 = 1/8.

The expected number of outcomes in 40 trials is given as follows:

1/8 x 40 = 5 outcomes.

Hence the difference is of:

8 - 5 = 3 outcomes.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

The experimental prοbabilities fοr each οutcοme (landing pen side up, landing cleated side up, and landing οn its side) are as fοllοws:

\($\begin{array}{r}\\ {P_{e}(A)={\frac{1}{50}}=0.02}\\ {P_{e}(B)={\frac{4}{50}}=0.08}\\ {P_{e}(C)={\frac{44}{50}}=0.88}\end{array}$\)

Experimental prοbability calculates the prοbability οf sοme event frοm the results οf experiments.

Fοr an event E, we get the experimental prοbability οf that event

\($P_{*}(E)={\frac{\mathrm{Number~of~times~E~ocurred}}{\mathrm{Number~of~times~experiment~was~done}}}$\)

where,\($P_{*}(E)\) is denοting experimental prοbability οf οccurrence οf E.

Fοr the given case, if we name the events fοr results οf tοssing οf paper cup as:

Then, as it is given that:

Number οf times paper cup was tοssed = 50

Thus, their experimental prοbabilities are οbtained as:

\($\begin{array}{r}\\ {P_{e}(A)={\frac{1}{50}}=0.02}\\ {P_{e}(B)={\frac{4}{50}}=0.08}\\ {P_{e}(C)={\frac{44}{50}}=0.88}\end{array}$\)

To learn more about experimental probability visit the link:

https://brainly.com/question/8652467

#SPJ1

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

For more such questions on expression

https://brainly.com/question/1859113

#SPJ8

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

From the figure, angle DEG corresponds to angle DFE with a measurement of 60 degrees, to make the triangles similar, angle EDF or EDG must be known also.

The answer is angle EDF

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

#SPJ1

Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

For more such questions on functions

https://brainly.com/question/10439235

#SPJ8

Answer:

w = 6

Step-by-step explanation:

Midsegment theorem states that "a segment connecting midpoints of the two sides of a triangle is parallel and half in measure of the third side."

By this theorem,

ST = 2(PR)

w + 6 = 2w

(w + 6) - w = 2w - w

w = 6

The number of guests that were at the party is 16.

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.

The equation that would be formed from the available information in this question is:

\(\frac{x}{3} + \frac{x}{4} + \frac{x}{2} = 17\)

Where x represents the number of guests that are in the party.

\(\frac{x}{3} + \frac{x}{4} + \frac{x}{2} = 17\)

Add the fractions:

\(\frac{3x + 4x + 6x}{12}\) = 17

\(\frac{13x}{12}\) = 17

Multiply both sides of the equation by 12

13x = 12 x 17

13x = 204

Divide both sides of the equation by 13

x = 204 / 13

x  = 15.7 ≈ 16

To learn more about fractions, please check: https://brainly.com/question/1114498

#SPJ1

Answer:

Scale factor = 2 for C

Scale factor = 2 for D

Scale factor = 2 for B

Step-by-step explanation:

Shape C has the dimensions of 2 x 6

Shape A has the dimensions of 1 x 3

Shape C is exactly 2 times an englargement of A because:

multiply 1 (dimension of A) times 2 (scale factors) = 2 (dimension of C)

multiply 3 (dimension of A) times 2 (scale factors) = 6 (dimension of C)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Shape D has the dimensions of 2 x 6

Shape A has the demensions of 1 x 3

Shape D is exactly 2 times an englargement of A because (same as C):

multiply 1 (dimension of A) times 2 (scale factors) = 2 (dimension of D)

multiply 3 (dimension of A) times 2 (scale factors) = 6 (dimension of D)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Shape B has the dimensions of 3 x 9

Shape A has the demensions of 1 x 3

Shape B is exactly 3 times an englargement of A because:

multiply 1 (dimension of A) times 3 (scale factors) = 3 (dimension of B)

multiply 3 (dimension of A) times 3 (scale factors) = 9 (dimension of B)

Answer:

A

Step-by-step explanation:

pls give brainliest pls

lol no use meeting. But zoom is good too.

the answer is 35 I did a lot of work I can't show you here

Answer:

(0.6231 , 0.6749)

Step-by-step explanation:

With the information we have, it is impossible to solve the exercise, therefore I was looking for information to complete it and we have to:

the sample proportion is 64.9%, or 0.649 plus the sample size is 1300 (n)

Now, we have that the standard error is given by:

SE = (p * (1 - p) / n) ^ (1/2)

replacing

SE = (0.649 * (1 - 0.649) / 1300) ^ (1/2)

SE = 0.0132

Now we have that confidence level is 95%, hence α = 1 - 0.95 = 0.05

α / 2 = 0.05 / 2 = 0.025, Zc = Z (α / 2) = 1.96

With this we can calculate margin of error like so:

ME = z * SE

ME = 1.96 * 0.0132

ME = 0.0259

Finally the interval would be:

CI = (p - ME, p + ME)

CI = (0.649 - 0.0259, 0.649 + 0.0259)

CI = (0.6231, 0.6749)

Answer:

respuesta es : -810 xy

Step-by-step explanation:

:)

Answer:

(1) 4x + 28 (2) 18x- 27

Step-by-step explanation:

the first question 4(x + 7) can be simplified by multiplying the number outside the parenthesis (4) by both of the values inside:

4x + 28 or the last answer choice

in the second question you can use the same method:

9 (2x) = 18x

9 ( -3) = -27

therefore the correct answer choice is 18x - 27

hope this helps :)

Answer:

12 is ten percent of 120

Step-by-step explanation:

Answer:it should be 8

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

3-4= -1

-1+x= 1

Answer:

The answer is 1/4 (y-2)

Step-by-step explanation:

I got the answer correct on my test!

Answer: The biggest common factor number is the GCF number. So the greatest common factor 6 and 8 is 2.

Answer in terms of Ln:   \(20*\text{Ln}\left(\frac{25}{13}\right)\\\\\)

Answer in decimal form:   13.1

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

Work Shown:

\(P(t) = 1,300,000e^{0.05t}\\\\2,500,000 = 1,300,000e^{0.05t}\\\\e^{0.05t} = \frac{2,500,000}{1,300,000}\\\\e^{0.05t} = \frac{25}{13}\\\\0.05t = \text{Ln}\left(\frac{25}{13}\right)\\\\t = 20*\text{Ln}\left(\frac{25}{13}\right)\\\\t \approx 13.0785293481332\\\\t \approx 13.1\\\\\)

Answer: D

Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.

So 150x(the number of tractors) + 1000(his pay each month)