ABCD is a square, what is the measure angle of BAC

To find the perimeter of the quarter circle, the radius is first calculated using the area, and then the perimeter formula for a circle is applied, adjusting the final calculation to include the straight edges of the quarter circle.

The student has provided the area of a quarter circle and is seeking to find its perimeter. The area of the full circle can be found by multiplying the quarter circle area by 4, yielding an area of 3.14 square kilometers (since the area of a quarter circle is 0.785 square kilometers). Using the formula for the area of a circle, A = πr², we can solve for the radius (r).

Let's calculate the radius of the circle:

Now, the perimeter (or circumference) of the full circle is given by the formula P = 2πr. For a quarter circle, the perimeter includes the arc of the quarter circle and the two radii.

The perimeter of the quarter circle is thus:

But since we know the measurements are to a certain precision, we must adjust our answer accordingly:

The final perimeter of the quarter circle, rounded to an appropriate number of significant figures based on the original measurement given, is approximately 3.57 km.

Answer:

7 groups.

Step-by-step explanation:

We have been given that Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over.

To find the greatest number of groups Issac can make we will find the GCF of 7 and 21.

Factors of 7 are: 1, 7.

Factors of 21 are: 1, 7, 3, 21.

We can see that 7 is the greatest common factor of 7 and 21, therefore, Issac can make 7 groups from 21 green marbles and 7 blue marbles.

Let us find number of each type of marble is each group.

[tex]\text{Number of green marbles in each group}=\frac{21}{7}[/tex]

[tex]\text{Number of green marbles in each group}=3[/tex]

Therefore, there will be 3 green marbles in each group.

[tex]\text{Number of blue marbles in each group}=\frac{7}{7}[/tex]

[tex]\text{Number of blue marbles in each group}=1[/tex]

Therefore, there will be 1 blue marble in each group.

Answer:

The correct answer would be 0.68. I just took the test, your welcome :)

Step-by-step explanation:

The relative frequency, by row, of students who do not like rap or hip-hop is:

                                0.68

                                   Like Rap Do Not Like Rap Total

Like Hip-Hop                  35                      8                   43

Do Not Like Hip-Hop  10                     21            31

          Total                   45                     29            74

The relative frequency by row of an outcome is calculated as the ratio of the frequency corresponding to the outcome to the total of the row.

Total of a row is: 31

The number of students who did not like Rap or Hip-Hop is: 21

Hence, the relative frequency is: 21/31=0.6777

which is approximately equal to 0.68

Final answer:

Each brother spent $11 on the gift. To find their original savings, we calculate 4 * $11 for Justin, which is $44, 3 * $11 for Jared, which is $33, and 5/2 * $11 for Jonathan, which is $27.50.

Explanation:

The question is asking us to find out how much money each of the three brothers, Justin, Jared, and Jonathan, had before they each spent an equal amount on a present for their mom's birthday. They bought a vase for $33, and Justin spent 1/4 of his savings, Jared contributed 1/3 of his, and Jonathan gave 2/5 of his. We can set up an equation for each brother using the fact that they all spent the same amount, which we'll call 'x'. So for Justin, (1/4) * Justin's savings = x, for Jared, (1/3) * Jared's savings = x, and for Jonathan, (2/5) * Jonathan's savings = x. Since the total cost of the vase is $33, we know that 3x = $33 or x = $11. This means each brother spent $11.

Now, we can find out how much each had originally:

Answer:

Figure D is the answer.

Step-by-step explanation:

The reflection transformation is a type of transformation, where the new image is the mirror image of the original image. Here, the x-coordinate and y-coordinate change places.

So, out of all the new figure, figure D is the answer.

Rest figures B and C are translations (simply moving aside) and A is rotation and translation both.

The area of triangle ABC, given that it is similar to triangle DEF with an area of 90, cannot be estimated without the ratio of corresponding sides. Areas of similar triangles are proportional to the square of the ratio of their corresponding sides.

To estimate the area of triangle ABC given that triangle ABC is similar to triangle DEF, and the area of triangle DEF is 90, we first need to understand that the areas of similar triangles are proportional to the square of the ratio of their corresponding sides. However, without knowing the specific ratio of the corresponding sides of triangles ABC and DEF, we cannot calculate the exact area of triangle ABC.

For example, if we knew that every side of triangle ABC was twice as long as the corresponding sides of triangle DEF, the area of triangle ABC would be 4 times the area of triangle DEF, because the area is proportional to the square of the side lengths (2 squared is 4). In this case, if the area of DEF is 90, then the area of ABC would be 90 × 4 = 360.

Without the ratio of the sides, we can't directly calculate the area of triangle ABC from the area of triangle DEF. The relationship between similar triangles and their areas illustrates an important geometric principle, but requires specific information about the ratio of corresponding linear dimensions to make an estimation.

The percentage of height of A is 85% and the percentage of height of B is 135% and it can be evaluated by using unitary method.

Given :

To ride on roller coaster you must be 40 inches tall.

Unitary method is used to find the percentage of height of A and percentage of height of B. Single unit is determined first in the unitary method and than multiply the single unit to find the necessary value.

Applying unitary method to determined the percentage of height of A.

        [tex]=\dfrac{34}{40}[/tex]

        [tex]=\dfrac{34}{40}\times 100[/tex]

        = 85%

Again applying unitary method to determined the percentage of height of B.

        [tex]=\dfrac{54}{40}[/tex]

        [tex]=\dfrac{54}{40}\times 100[/tex]

        = 135%

The percentage of height of A is 85% and the percentage of height of B is 135% and it can be evaluated by using unitary method.

For more information, refer the link given below:

https://brainly.com/question/20196352

Answer:

22 1/2

I got that answer when I reviewed the test

Final answer:

In a Ferris wheel, gravity and normal forces act on riders, affecting circular motion and contributing to centripetal force. Redistribution of mass affects the moment of inertia and could change angular velocity, assuming conservation of angular momentum without external torques.

Explanation:

Understanding the forces acting on people in a Ferris wheel and the effects on angular velocity and angular momentum involves comprehending basic physics concepts of circular motion and rotational dynamics.

Angular velocity is affected by how fast the Ferris wheel rotates. If the wheel accelerates, angular velocity increases. The total angular momentum of the system, a product of moment of inertia and angular velocity, can change due to external torques, like the motor driving the Ferris wheel or resistance due to air. However, in the absence of external torques, the system's angular momentum remains constant.

Considering the positions of people on the Ferris wheel (4 o'clock, 1 o'clock, 9 o'clock, and 6 o'clock), gravity acts downwards on each person, and the normal force acts perpendicular to the wheel's surface. These forces contribute to the centripetal force that keeps the people in circular motion. The redistribution of mass as people move or as the wheel turns can change the wheel's moment of inertia, potentially altering its angular velocity assuming angular momentum is conserved in the absence of external torques.

Parker will receive a tax refund of $2,318. With this refund, he can make approximately 3 loan payments.

To determine Parker's tax refund and the number of loan payments he can make with this refund, we should consider his income and his withholdings. Since his taxable income is $77,911 and he has had $19,458 in federal taxes withheld, we can calculate his tax liability using the federal tax rates. In the U.S, the marginal tax rates for a single taxpayer range from 10% to 35%, depending on income.

For someone earning $77,911, they would be in the 22% tax bracket according to the 2020 tax tables from the Internal Revenue Service. The tax on income from $80,251 to $171,050 is 22%. Therefore, Parker's expected tax liability is $77,911 * 22% = $17,140.

However, the amount his employer withheld was $19,458. This means Parker has overpaid and is eligible for a refund of $19,458 - $17,140 = $2,318.

In terms of how many loan payments Parker can make with this refund, since his monthly loan payment is $679.34, he can make approximately $2,318/$679.34 = 3.41 payments.

Therefore, Parker will receive a tax refund of $2,318 and will be able to make approximately 3 loan payments with this refund.

https://brainly.com/question/12811169

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Final answer:

Ira has caught 53 balls, which is found by adding 12 to Liv's total of 41 balls.

Explanation:

The question asks to find out how many balls Ira has caught if Liv has caught 41 balls and Ira has caught 12 more balls than Liv. To solve this, we start with the number of balls Liv has caught, which is 41. Since Ira has caught 12 more balls than Liv, we add 12 to Liv's total. Therefore, the number of balls caught by Ira is calculated as follows:

Liv's total = 41 balls

Ira's total = Liv's total + 12

Ira's total = 41 + 12 = 53 balls

Thus, Ira has caught 53 balls.

Final answer:

To find the cost of one cookie and one candy bar, we can write a system of linear equations and solve them using the method of elimination or substitution. The total cost of each candy bar can be found by multiplying its cost by the number of candy bars in the goodie bag.

Explanation:

We can write a system of linear equations to find the cost of one cookie (x) and one candy bar (y) based on the information given:

Equation 1: 4x + 3y = 10.25

Equation 2: 2x + 7y = 14.75

To solve this system of equations, we can use the method of substitution or elimination.

First, let's solve the system using the method of elimination:

By following these steps, we can find the cost of one candy bar (y) and the cost of one cookie (x).

The total cost of each candy bar can be found by multiplying its cost (y) by the number of candy bars in the goodie bag.

Wade placed the muffins in the oven at 10:17 AM; they will be ready to eat after baking and cooling at around 10:54 AM. The statements about eating the muffins at 10:39 PM and taking them out at 10:39 PM are false, while the statement about taking them out at 10:39 AM is true.

To calculate when Wade can eat the muffins we must add the baking time and cooling time to the time he put the muffins in the oven. Wade puts the muffins in at 10:17 am and the muffins need to bake for 22 minutes. After baking, they need 15 minutes to cool.

First, the muffins would be done baking at 10:39 am (10:17 am + 22 minutes). Then, after cooling for at least 15 minutes, Wade can eat the muffins at 10:54 am (10:39 am + 15 minutes).