Circle 1 is centered at (-3,5) and has a radius of 10 units circle 2 is centered at (7,5) and has a radius of 4 units. What transformations can be applied to circle 1 to prove that the circles are similar?

The required total number of innings are 7.5.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

We have,

1 (2/3) innings on Monday and 3 (1/3) innings on Wednesday.

Total innings =  1 (2/3) +  3 (1/3)

= 5/2 + 10/2

= 15/2

= 7.5 innings.

Thus, total innings are 7.5.

To know more about Mixed fraction visit:

brainly.com/question/29264210

#SPJ1

70.65 cubic inches of the treasure chest is taken up by the coins. Option B is the correct option.

What is π in math?

The ratio of a circle's diameter to its circumference, or "pi," is a mathematical constant that is roughly equal to 3.14159 (/pa/; also written as "pi"). Numerous mathematical and physics formulas contain the number. It is an irrational number, meaning that although fractions like 22/7 are frequently used to approximate it, it cannot be expressed exactly as a ratio of two integers.

Given that the radius of a coin is 1.2 inches and the height of the coin is  0.0625 inches.

The shape of the coin is a cylindrical in shape.

The volume of a cylinder is ∏r²h, where r is the radius of the coin and h is the height.

The volume of a coin is 3.14×1.2²×0.0625 = 0.2826  in³.

The number of coins is 250.

Multiply 250 by 0.2826 in³ to find the volume of 250 coins:

250×0.2826 in³ = 70.65 in³

To learn more about volume of a cylinder, click on the below link:

https://brainly.com/question/30877864

#SPJ1

Answer:

$22 after 6 months

Step-by-step explanation:

use the I = Prt simple interest formula

t is time in years,, so make sure to convert the 6 months into 0.5 years in your work.

Different arrangements of candidates are possible is 210.

Given:

There are 7 students on a team. if they must elect a president, a vice president, and a treasurer.

Number of arrangements = \(7_p_{3}\)

= 7!/(7-3)!

= 7!/4!

= 7*6*5*4! / 4!

= 7*6*5*1

= 42*5*1

= 42*5

= 210

Therefore Different arrangements of candidates are possible is 210.

Learn more about the arrangements here:

https://brainly.com/question/28406752

#SPJ4

Answer:

66º

Step-by-step explanation:

180 - 114 = 66

48 + 66 = 114

180 - 114 = 66

(the third part is a repeat because you have to add the angles of vortex T and V)

ANSWER

r = 24/π in ≈ 7.6 in

EXPLANATION

The circumference of a circle of radius r is,

So, if the circumference of this circle is 48 inches,

Hence, the radius of this circle is 24/π inches, or 7.6 inches, rounded to the nearest tenth.

Answer: y = 10

Step-by-step explanation: Hi there!

To get started, first, we have to subtract 2y from 9y on the left side.

7y + 8 = 4y + 38

Then subtract 4y on both sides.

3y + 8 = 38

Then subtract 8 on both sides

3y = 30

Finally divide by 3 on both sides.

y = 10

The answer is y = 10.

Answer: y=10

Step-by-step explanation:

9y-2y+8=4y+38

\(\mathrm{Add\:similar\:elements:}\:9y-2y=7y\)

7y+8=4y+38

\(\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\)

7y+8-8=4y+38-8

\(\mathrm{Simplify}\)

7y=4y+30

\(\mathrm{Subtract\:}4y\mathrm{\:from\:both\:sides}\)

7y-4y=4y+30-4y

\(\mathrm{Simplify}\)

3y=30

\(\mathrm{Divide\:both\:sides\:by\:}3\)

\(\frac{3y}{3}=\frac{30}{3}\)

Simplify

y=10

Answer:

w=x÷a-b

Step-by-step explanation:

w=a-b/x

or, wx= a-b

or, x= a-b/w

After solving the given expression the values for x will be equal to x = 1 and x = 13.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The given equation is,

(x - 7)² = 36

x - 7 = √36

x = ±6

Then the values for x will be,

x1 = 6 + 7 = 17

x2 = -6 + 7 = -1

To know more about the expression:

https://brainly.com/question/14083225

#SPJ1

Answer:

your answer will be Option D.32.5 ft

Step-by-step explanation:

hope it helps you!!

Alessandra's statement corresponds to the alternative hypothesis (c) in a hypothesis test, suggesting a change or effect of the independent variable on the dependent variable.

The statement made by Alessandra regarding a hypothesis test suggests the use of an alternative hypothesis (c). In hypothesis testing, the alternative hypothesis represents the claim or belief that there will be a change or effect on the dependent variable due to the independent variable. It opposes the null hypothesis, which assumes no change or effect. In this case, Alessandra is proposing that there will be a difference or relationship between the independent and dependent variables.

To further elaborate, a hypothesis test is a statistical method used to make inferences about a population based on sample data. It involves formulating a null hypothesis (b), which assumes no significant difference or relationship between variables, and an alternative hypothesis (c), which asserts that there is a significant difference or relationship. The independent-measures t-test and repeated-measures t-test (d) are specific types of statistical tests used to compare means or differences between groups, but they are not directly related to the hypothesis statement provided by Alessandra.

Learn more about population here: https://brainly.com/question/30935898

#SPJ11

Answer:

I think the answer is 792

Answer:

SA = 696cm^2

Step-by-step explanation:

First we need to identify the shapes

There are 3 rectangles and 2 triangles

Now the individual surface area for each shape

20 x 10 = 200 (1 rectangle)

1/2(12 x 8) = 48 (1 triangle)

Now we add them together

(200 x 3) + (48 x 2) = 696

The total charge for this job is $12131.04.

Charge per square yard to remove old carpet = $5.99

Charge per square yard to install the new carpet = $4.50

Charge for carpet and pad they selected per square yard = $16.99 and $3.00

Dimension of the living room = 17 1/2 by 20 feet

⇒ 35/2 by 20 feet

Dimension of the hall = 4 by 12 feet

The living room and the hall is in the shape of rectangular.

The formula of the area of the rectangle is

A= length x width

the total area of the living room and the hall is

⇒ (35/2) x 20 + (4 x 12)  

⇒ 398 square feet.

The total cost is

⇒ 5.99 + 4.50 + 16.99 + 3. 00

⇒30.48

Thus, the total charge for this job is

⇒398 x 30.48

⇒$12131.04

Total cost (TC) in that is the overall economic cost of production and is made of variable cost, which varies in step with the amount of a terrific produced and includes inputs together with exertions and raw materials, plus fixed cost, which is unbiased of the quantity of an amazing produced and includes inputs that cannot be various in the brief term including homes and machinery, which include probably sunk prices.

Total cost in economics includes the full possibility price (blessings received from the next-nice alternative) of every issue of production as part of its constant or variable prices.

The additional total cost of one additional unit of manufacturing is known as marginal cost.

To learn more about the Total cost visit here:

brainly.com/question/28652728

#SPJ4

Answer:

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Answer:

CD = 30.43; LK = 14.08

Step-by-step explanation:

Problem 12.

Let's first find BD. Triangle ADB is a right triangle with hypotenuse AB. By definition of sine ( or by theorem, they're equivalent) \({BD \over 20} = sin 54.\), hence BD= 16.18. Jump on the other side now. Triangle BDC is a right triangle with sides BD and CD. By definition of tangent \( {{16.18} \over CD} = tan 28 \), thus CD= 30.43.

Problem 13

Assuming the 72° is angle JLK

As usual, triangle MJL is a right triangle with sides MJ and LJ. By definition of tangent \( {{JL} \over 14} = tan 51 \). Follows that JL = 14.81. Now, similarly, trinagle JLK is a right triangle, with hypotenuse JL. From the definition of sine, as before,\({KL \over 14.81} = sin 72.\). Solving for the only unknown value, you find LK = 14.08.

Please double check the calculations and feel free to add more digits if required

Answer:

17 yards

Step-by-step explanation:

Start= 0

0-5=-5 (lose 5 yards)

-5+32= 27 (gain 32 yards)

27-10= 17 (lose 10 yards)

Answer:

112 weeks

Step-by-step explanation:

784/7=112

Answer:

112 weeks............

Answer:

Answer is 1 minute

Step-by-step explanation:

The y-axis shows how many blocks and the the x-axis shows the time. So if he traveled 6 blocks, based on the graph, it took him 1 minute

a) To find dx/dt, we take the derivative of x with respect to t:

dx/dt = d/dt(1-t^2) = -2t

To find dy/dt, we take the derivative of y with respect to t:

dy/dt = d/dt(t^2 + 2t) = 2t + 2

To find dt'/dx, we first solve for t in terms of x:

x = 1-t^2

t^2 = 1-x

t = ±sqrt(1-x)

Since we are interested in the positive square root (since t is increasing), we have: t = sqrt(1-x)

Now we can take the derivative of this expression with respect to x: dt/dx = d/dx(sqrt(1-x)) = -1/2 * (1-x)^(-1/2) * (-1) = 1 / (2sqrt(1-x))

Finally, we can find dt'/dx by taking the reciprocal: dt'/dx = 2sqrt(1-x). Therefore, dx/dy dt' is: (dx/dy)(dt'/dx) = (-2t)(2sqrt(1-x)) = -4t*sqrt(1-x)

b) If a tiny person is walking along the graph of the parametric equations x=1-t², y=t²+2t, then their horizontal speed at any given point is dx/dt, which we found earlier to be -2t.

Their vertical speed at any given point is dy/dt, which we also found earlier to be 2t+2. Therefore, their overall speed (magnitude of their velocity vector) is given by the Pythagorean theorem:

speed = sqrt((-2t)^2 + (2t+2)^2) = sqrt(8t^2 + 8t + 4) = 2 * sqrt(2t^2 + 2t + 1)

To know more about derivative refer here:

https://brainly.com/question/28672151#

#SPJ11

Answer:

2 and 1/2 = 2.5

2.5 divided by 3 = 0.83

0.83 x 2 = 1.66 or 1 and 2/3 gallons of paint left

Step-by-step explanation:

Hope this helps! Have a nice day!

Answer:

.4

Step-by-step explanation:

Answer:

.0003, .04, .02, 2 4

Step-by-step explanation:

hope it helps

The best description of the passenger's linear and angular velocity while passing point A is option d) Linear Velocity Constant, Angular Velocity Constant.

When the passenger is at point A, which is the highest point of the ride, the seat exerts a normal force with a magnitude of 0.8F, where F represents the person's weight. This normal force provides the necessary centripetal force to keep the person moving in a circular path. At this point, the passenger's linear velocity remains constant, as there is no change in speed.

Since the passenger releases a small rock without hitting anything, there are no external torques acting on the system. Therefore, according to the law of conservation of angular momentum, the passenger's angular velocity remains constant as well. The angular velocity is determined by the rotational motion of the wheel and does not change as the passenger passes point A.

Therefore, the passenger's linear velocity is constant, and their angular velocity is also constant while passing point A, resulting in the most accurate description being d) Linear Velocity Constant, Angular Velocity Constant.

To learn more about Angular Velocity from the given link

https://brainly.com/question/15154527

#SPJ4

Answer:

p = 70 degree

c = 70 degree

a) The pmf of x is a geometric distribution,\(p(x) = (3/75)(72/75)^(x-1).\)

b) The expected number of bulbs tested until he gets a defective for the first time is 25.

a) The probability of success (getting a non-defective bulb) is 72/75 and the probability of failure (getting a defective bulb) is 3/75. The pmf of x is a geometric distribution, \(p(x) = (3/75)(72/75)^(x-1)\). This means that the probability of success P is multiplied by \((1-P)^(x-1)\) for each x value. b) The expected number of bulbs tested until he gets a defective for the first time is 25. This can be calculated as the sum of all x values multiplied by the corresponding pmf values: \(E(x) = Σ x p(x) = 3/75 + 24/75 + 48/75 + 72/75 + ... = 25\).

Learn more about number here

https://brainly.com/question/29546604

#SPJ4

If a storage facility charges $1 per cubic yard and the storage space is 32 ft. The storage charge is $1999.97.

What is mathematical conversions?

Mathematical conversions refer to the process of changing one unit of measurement to another unit of measurement that is equivalent in value.

First, we need to convert the dimensions from feet to yards, since the rate is given per cubic yard.

32 feet = 10.6667 yards (dividing by 3)

160 feet = 53.3333 yards (dividing by 3)

10 feet = 3.3333 yards (dividing by 3)

Next, we can calculate the volume of the storage space in cubic yards by multiplying the three dimensions:

Volume = 10.6667 yards x 53.3333 yards x 3.3333 yards

Volume = 1999.97 cubic yards (rounded to two decimal places)

Finally, we can calculate the storage charge by multiplying the volume by the rate:

Charge = 1999.97 cubic yards x $1/cubic yard

Charge = $1999.97

Therefore, the storage charge is $1999.97.

To learn more about mathematical conversions from the given link:

https://brainly.com/question/11853945

#SPJ4

The hypotenuse of the right triangle is 29 units.

The ratios are as follows:

sin x  = 20 / 29

cos y = 20 / 29

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios. The sides can also be solved using Pythagoras theorem.

The hypotenuse side is the longest side of a right angle triangle.

Therefore,

c² = a² + b²

c = √20² + 21²

c = √400 + 441

c = √841

c = 29

hypotenuse = 29 units

sin x = opposite / hypotenuse = 20 / 29

cos y = adjacent/ hypotenuse = 20 / 29

learn more on right angle triangle here: https://brainly.com/question/10171801

Answer:

B

Step-by-step explanation:

Answer:

The answer is A (1 1/4x -3 = 30 1/2; x = 22 times), i just finished the test on edge 2021, good luck! :)

According to the question When \(\( P = 10 \), \( B = 12 \), and \( l = 5 \),\) the expression \(\( \frac{1}{2}Pl + B \)\) evaluates to \(\( 37 \).\)

To evaluate the expression \(\( \frac{1}{2}Pl + B \) with \( P = 10 \), \( B = 12 \), \( l = 5 \)\), we substitute these values into the expression:

\(\( \frac{1}{2}(10)(5) + 12 \)\)

Simplifying further:

\(\( 5(5) + 12 \)\)

\(\( 25 + 12 \)\)

The final result is: \(\( 37 \)\)

Therefore, when \(\( P = 10 \), \( B = 12 \),\) and \(\( l = 5 \),\) the expression \(\( \frac{1}{2}Pl + B \)\) evaluates to \(\( 37 \).\)

To know more about expression visit -

brainly.com/question/22257072

#SPJ11