Miyoki is crocheting two circles. The area of the larger circle is to be 2.5 times the size of the smaller. If the area of the smaller circle is about 50.2 square centimeters, what is the diameter of the larger circle?

Answer:

  40 ft

Step-by-step explanation:

The tree's shadow is 60/12 = 5 times the length of the shadow of the post. So, we figure the tree is 5 times the height of the post:

  5(8 ft) = 40 ft . . . height of tree

__

You may want to write a proportion:

  tree height/tree shadow = post height/post shadow

  t / 60 = 8 / 12

  t = 60(8/12) = 40 . . . . multiply by 60

Answer:

y = $40 - ($3/day)x

Step-by-step explanation:

y = $40 - ($3/day)x represents the amount of money John has left after x days.

Answer:

r=6.4

Step-by-step explanation:

Get r by itself you need to add 8.5 to get 6.4

Hope this helps (:

Answer:

r-8.5=-2.1

r=-2.1+8.5

r=6.4

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-12r+4=100

100-4=96

-12r=96

96/-12=-8

The surface area of the total area of the faces of the given figure. The surface area of the figure is 900 square meters

The surface area of the total area of the faces of the given figure.

The given figure is made up of 3 rectangles and 2 triangles:

Surface area = area of 3 rectangles + area of 2 triangles

Surface area  = [2(17*10) + 16*10] + (16*15)
Surface area = 2(170+160) + 240
Surface area = 660 + 240
Surface area = 900 square meters

Hence the surface area of the figure is 900 square meters

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Answer:I think it’s y = 6; slope is 6

Step-by-step explanation:

Because it’s on the positive side so I think it’s that one

The equation of the line will be x = 6. And the slope of the vertical line is infinite.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the vertical line is given as,

x = c

The line is passing through (6, 0). Then we have

6 = c

Then the equation of the line will be x = 6. And the slope of the vertical line is infinite.

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Answer:

-333

Step-by-step explanation:

It seems like it is going down by -30 each term.

Answer:  

Call x and y the 2 numbers. x + y = 32 x - y = 8 2x = 40 -> x = 20, and y = 32 - 20 = 12.

Step-by-step explanation:

Answer:

\( \sqrt{25 \times 4} \)

=\( \sqrt{5²×2²} \)=±[5×2]=±10

Explanation: For this question, we can use a drawing to represent the rotation and then another draw to represent the reflection after the rotation.

Step 1: Let's visualize the rotation counter-clockwise first

Step 2: Now let's represent the reflection across a vertical line

Final answer: As we can see the final shape is identical to trapezoid b so the final answer is trapezoid B

Answer:

Step-by-step explanation:

https://quickmath.com/

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Answer:

I believe it is the parent function

a) To determine the number of homomorphisms φ: F₃ → D₅ (where F₃ is the free group on three generators and D₅ is the dihedral group of order 10), we need to consider the possible images of the generators of F₃.

The free group F₃ on three generators can be generated by elements x₁, x₂, and x₃. Let's denote the images of these generators under the homomorphism φ as φ(x₁), φ(x₂), and φ(x₃), respectively.

In D₅, the possible orders of elements are 1, 2, 5. The identity element e has order 1, and there is only one element of order 1 in D₅. There are three elements of order 2, and two elements of order 5.

Now, let's consider the possible images of the generators:

1) φ(x₁) can be mapped to an element of order 1, 2, or 5 (3 possibilities).

2) φ(x₂) can be mapped to an element of order 1, 2, or 5 (3 possibilities).

3) φ(x₃) can be mapped to an element of order 1, 2, or 5 (3 possibilities).

Since the choices for the images of the generators are independent, the total number of homomorphisms φ: F₃ → D₅ is obtained by multiplying the number of choices for each generator. Therefore, the number of homomorphisms is 3 * 3 * 3 = 27.

b) To determine the number of surjective homomorphisms φ: F₃ → Z₅ (where F₃ is the free group on three generators and Z₅ is the cyclic group of order 5), we need to consider the possible images of the generators of F₃.

In Z₅, all non-identity elements have order 5, and there is only one element of order 1 (the identity).

Now, let's consider the possible images of the generators:

1) φ(x₁) can be mapped to an element of order 1 or 5 (2 possibilities).

2) φ(x₂) can be mapped to an element of order 1 or 5 (2 possibilities).

3) φ(x₃) can be mapped to an element of order 1 or 5 (2 possibilities).

Again, since the choices for the images of the generators are independent, the total number of surjective homomorphisms φ: F₃ → Z₅ is obtained by multiplying the number of choices for each generator. Therefore, the number of surjective homomorphisms is 2 * 2 * 2 = 8.

Therefore:

a) There are 27 homomorphisms φ: F₃ → D₅.

b) There are 8 surjective homomorphisms φ: F₃ → Z₅.

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Answer:

9 hours

Step-by-step explanation:

The time taken is inversely proportional to the number of men; if M = number of men and D = number of days this can be expressed as
\(D \displaystyle \propto } \dfrac{1}{M}\\\\\text{which can be expressed as an equation: }\\\\D = k \cdot \dfrac{1}{M}\\\\or\\\\D = \dfrac{k}{M}\\\\\)

k is known as the constant of proportionality which can be expressed as

\(k = D\cdot M\)

Inversely proportional means:
As the number of men increases, the time taken decreases

As the number of men decreases, the time taken  increases

We can find k from the given information with M = 3 and D = 6 hours

\(k = 6 \cdot 3 = 18\)

\(\textrm{Therefore, given M= 2, D = $\dfrac{18}{2} = 9$ \;hours}\)

For 2 men it will take 9 hours to repair the road

Part A

Coordinates before dilation

A = (-2, 4)

B = (-2, 3)

C = (-4, 3)

Coordinates after dilation with a scale factor of 2

A' = (-4, 8)

B' = (-4, 6)

C' = (-8, 6)

Part B

Coordinates after a reflection over the y-axis

Coordinates of triangle ABC after a reflection over the y-axis by negating the x-axis.

A' = (2, -4)

B' = (2, -3)

C' = (4, -3)

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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Answer:

To divide two mixed numbers, we need to first convert them to improper fractions.

10 1/4 is the same as (10 x 4 + 1)/4 = 41/4

5 1/2 is the same as (5 x 2 + 1)/2 = 11/2

So, we need to divide 41/4 by 11/2:

(41/4) ÷ (11/2)

When dividing by a fraction, we can multiply by its reciprocal (flip the fraction):

(41/4) x (2/11)

Now, we can simplify by canceling out the common factors:

(41 x 2) / (4 x 11) = 82/44 = 41/22

Therefore, 10 1/4 divided by 5 1/2 is equal to 41/22 or approximately 1.86 when rounded to two decimal places.

Por lo tanto, 10 1/4 dividido por 5 1/2 es igual a 41/22 o aproximadamente 1,86 cuando se redondea a dos decimales.

Answer:

\(3uq \\ 3 \times 2 \times 6 \\ = 36\)

Answer:

\(36\)

Step-by-step explanation:

\(3uq \\ = 3(2)(6) \\ = 36\)

Answer:

acute - scalene

right - equilateral

obtuse - isosceles

Answer:

answer e or d I'm pretty sure

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

The probability of rolling a two is

P(2) = number of twos/ total

        =1/6

The probability of landing on tails

P(tails) = tails/total

             =1/2

P(2, tails) = P(2)  *  P(tails)  since they are independent events

               = 1/6 * 1/2

                 =1/12

Answer:

n=-11/18

Step-by-step explanation:

1/6=n+7/9

Change the sign and move the variable to the left hand side

-n+1/6=7/9

Change its sign and move constant to the right hand side

-n=7/9-1/6

Subtract the fractions

-n=11/18

Change the sign on both sides

n=-11/18

Answer:

Step-by-step explanation:

Given:

Solution

As per midpoint formula;

Answer:

Step-by-step explanation:

so you do 1150 x 115% to give you the answer and then you get the answer of that and take away 1150 and you should get your answer

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The Moral Mentor Test Score: 6

- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.

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- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.

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The current, i, to the capacitor is given by i = -2e^(-2t)cos(t) Amps.

To find the current, we need to differentiate the charge function q with respect to time, t.

Given q = e^(2t)cos(t), we can use the product rule and chain rule to find the derivative.

Applying the product rule, we have:

dq/dt = d(e^(2t))/dt * cos(t) + e^(2t) * d(cos(t))/dt

Differentiating e^(2t) with respect to t gives:

d(e^(2t))/dt = 2e^(2t)

Differentiating cos(t) with respect to t gives:

d(cos(t))/dt = -sin(t)

Substituting these derivatives back into the equation, we have:

dq/dt = 2e^(2t) * cos(t) - e^(2t) * sin(t)

Simplifying further, we get:

dq/dt = -2e^(2t) * sin(t) + e^(2t) * cos(t)

Finally, rearranging the terms, we have:

i = -2e^(-2t) * sin(t) + e^(-2t) * cos(t)

Therefore, the current to the capacitor is given by i = -2e^(-2t) * sin(t) + e^(-2t) * cos(t) Amps.

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If both the upstairs and downstairs switches are in the up position, the light will be off

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Both the upstairs and downstairs switches are in the up position

This is different from the required position to on the light

Hence, the light will be off

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Answer:

thats A daddy-o

Step-by-step explanation:

there are 4 out of 12

1/3

33.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 is 1/3