Find the measure of angle AOE in the diagram below.
Help will be appreciated!

Answer:

(-5,-3)

Step-by-step explanation:

Answer:

The number of student in each van is 8. The number of student in each bus is 22.

Step-by-step explanation:

Consider the provided information.

Let the number of student in each van is x.

The number of student in each bus is y.

School A rented and filled 8 vans and 8 buses with 240 students.

This can be written as:

[tex]8x+8y=240[/tex]......(1)

School B rented and filled 4 vans and 1 bus with 54 students.

[tex]4x+y=54[/tex]

[tex]y=54-4x[/tex]......(2)

Substitute the value of y in equation (1).

[tex]8x+8(54-4x)=240[/tex]

[tex]8x+432-32x=240[/tex]

[tex]8x-32x=240-432[/tex]

[tex]24x=192[/tex]

[tex]x=8[/tex]

Thus, the number of student in each van is 8.

Substitute the value of x in equation (2).

[tex]y=54-4(8)[/tex]

[tex]y=54-32[/tex]

[tex]y=22[/tex]

Thus, the number of student in each bus is 22.

Answer:

3 blocks.

Step-by-step explanation:

The answer is 3 blocks

Answer:

7

Step-by-step explanation:

-7 + 7 = 0

7 steps forward 7 step backward

Answer:

[tex]-9\sqrt{11}[/tex]; None of the above; [tex]3\sqrt{7}[/tex]

Step-by-step explanation:

For the first question:

[tex]5\sqrt{11}-12\sqrt{11}-2\sqrt{11}[/tex]

Treating the radicals as a variable, we combine like terms:

[tex]5\sqrt{11}-12\sqrt{11}-2\sqrt{11}\\\\=-7\sqrt{11}-2\sqrt{11}\\\\-9\sqrt{11}[/tex]

For the second question:

[tex]5(10-4\sqrt{2})[/tex]

We use the distributive property:

[tex]5(10-4\sqrt{2})\\\\5\times 10-5\times4\sqrt{2}\\\\50-20\sqrt{2}[/tex]

This is not one of the choices available.

For the third question:

[tex]\sqrt{3}\times \sqrt{21}[/tex]

We will first find the prime factorization of 21.  21 = 3*7:

[tex]\sqrt{3}\times \sqrt{3\times7}[/tex]

These can all be written under one radical:

[tex]\sqrt{3\times 3\times 7}[/tex]

For square roots, we want pairs of factors.  We have a pair of 3s, so this comes out, giving us

[tex]3\sqrt{7}[/tex]

Answer: Answer of First Question is -9√11, answer of second Question is 'None of the above' and answer of third question is 3√7

Step-by-step explanation:

since, in first question, given expression is,

5√11-12√11-2√11

And, we can write, 5√11-12√11-2√11=-9√11

In other words, negative 9 square root of 11

Thus, option third is correct.

In second question, given expression is,

5(10-4√2),

And we can write, 5(10-4√2)=50-20√2

In other words, 50 minus 20 square root of 2.

Thus, Option fourth is correct.

In third question, given expression,

√3×√21,

And we can write, √3×√21=√3×√3×√7=3√7

Thus, third option is correct.

Answer:

A

Step-by-step explanation:

did the test

Mitch's salary increases by $10,000 but he has to repay $2,000 for his loan. Therefore, he ends up with an extra $8,000 per year.

Mitch receives a 25% increase on his previous pay of $40,000 which equates to an additional $10,000 for the year (25% of $40,000 is $10,000), giving him a new salary of $50,000.

However, Mitch must pay 4% of his new salary towards his Study Assist loan. 4% of $50,000 equals $2,000. So he must repay $2,000 for his loan.

Therefore, the extra pay that Mitch actually keeps after paying his loan is $10,000 (rise in salary) minus $2,000 (loan repayment) which is $8,000 for the year. He ends up with $8,000 extra compared to his initial salary.

https://brainly.com/question/32197511

#SPJ12

Answer and Explanation:

Given : Numbers 2,3,4.

To find : Show six ways to add the numbers?

Solution :

As there are three numbers so arrangement of these numbers are as follow by changing there positions,

[tex]2+3+4=9[/tex]

[tex]2+4+3=9[/tex]

[tex]3+2+4=9[/tex]

[tex]3+4+2=9[/tex]

[tex]4+2+3=9[/tex]

[tex]4+3+2=9[/tex]

Above are the ways.

To estimate the number of units in the entire apartment complex that have 3 rats, we can use the proportion of units in the sample that have 3 rats and apply it to the total number of units in the complex.

To determine how many units in the entire apartment complex have 3 rats, we can use the concept of sampling. Since the apartment caretaker checked 9 units and recorded the number of rats in each, we can calculate the proportion of units with 3 rats in these 9 units. We can then apply this proportion to the entire apartment complex to estimate the number of units with 3 rats.

Out of the 9 units checked, there were 3 units with 3 rats. So the proportion of units with 3 rats in the sample is 3/9 = 1/3.

To estimate the number of units with 3 rats in the entire apartment complex, we can multiply the proportion of units with 3 rats in the sample (1/3) by the total number of units in the complex: 1/3 * 150 = 50. So, approximately 50 units in the entire apartment complex have 3 rats.

1--4 = 5

-6 -6 = 12

5^2 = 25

12^2 = 144

144+25 = 169

sqrt(169) = 13

 distance = 13

A) 10.59 > 10.60: True, because 10.59 is greater than 10.60.

B) 10.590 = 10.59: True, as they have the same value.

C) 10.43 < 10.24: False, as 10.43 is greater than 10.24.

D) 9.0005 = 9.0050: False, as they are not equal.

Use the concept of mathematical expression defined as:

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

A) 10.59 > 10.60: This statement is true.

In decimal numbers, the higher the number, the greater its value.

Since 10.59 is greater than 10.60 (because 59 is greater than 60), this statement holds true.

B) 10.590 = 10.59: This statement is also true.

When two decimal numbers have the same digits after the decimal point, they are considered equal.

In this case, 10.590 and 10.59 have the same value.

C) 10.43 < 10.24: This statement is false.

Similar to the first option, the higher the number, the greater its value.

In this case, 10.43 is greater than 10.24,

So the statement is not true.

D) 9.0005 = 9.0050: This statement is also false.

Although the numbers are very close, they are not equal.

When comparing decimal numbers, each digit after the decimal point matters.

In this case, the numbers differ after the fourth decimal place, making them unequal.

Hence, the given expressions:

A) 10.59 > 10.60: True,

B) 10.590 = 10.59: True,

C) 10.43 < 10.24: False,

D) 9.0005 = 9.0050: False.

To learn more about the mathematical expression visit:

https://brainly.com/question/1859113

#SPJ5

The ratio of the circumferences equals the ratio of the radii.

 so we need to find their radii

 first circle's radius:
pir^2 = 6pi
r = √6

 second circle's radius:
pir^2 = 150pi
r = √150

 Their ratio is
√6 : √150 =
√6 : √6√25 =
√6 : 5√6 =
1 : 5

The ratio of the circumferences of two circles with areas of 6π m² and 150π m² is 5:1.

To find the ratio of the circumferences of two circles given their areas, we first recall the formula for the area of a circle, A = πr², where A is the area and r is the radius. Knowing the area, we can solve for the radius of each circle. The areas given are 6π m² and 150π m².

To find the radius for the first circle, we set up the equation:

6π = πr²

We solve for r, yielding:

r = √6.

Similarly, for the second circle:

150π = πr²

This gives us:

r = √150.

Next, we use the formula for the circumference C = 2πr. We calculate the circumferences of the circles using their respective radii:

First circle's circumference: C1 = 2π(√6)

Second circle's circumference: C2 = 2π(√150)

Finally, to find the ratio of the circumferences, we divide C2 by C1 and simplify:

Ratio = C2÷C1 = (2π(√150))÷(2π(√6)) = √(150÷6) = √25 = 5.

Therefore, the ratio of the circumferences of the two circles is 5:1.

Final answer:

The number of ways 12 cheerleaders can line up is calculated using permutations, specifically 12!, which is the product of all positive integers from 1 to 12.

Explanation:

The number of ways the 12 cheerleaders can line up down the football field can be calculated using the concept of permutations. A permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement. For 12 cheerleaders, each of whom is distinct, the number of different ways they can line up is the same as the number of permutations of 12 objects, which is given by the factorial of the number of objects.

The formula for permutations of n objects is n! (n factorial), where n represents the total number of objects. Therefore, for 12 cheerleaders, the expression for the number of ways they can line up is:

12!

This is calculated as 12 × 11 × 10 × 9 × ... × 3 × 2 × 1. The value of 12! (12 factorial) gives us the total number of possible arrangements for the 12 cheerleaders.

Answer:

4cm

Step-by-step explanation:

Area= 1/2(b1 +b2)(h)

46 = 1/2(8+15)(h)

46 = 1/2(23)(h)

46/11.5=11.5h/11.5

4 = h

Answer:

12 block

Step-by-step explanation:

We are given that Meredith lives 24 blocks from her friends house if she travels 1 block per minute .

We have to find the number of blocks if she travel 2 blocks per minute .

In order to find the number of blocks from Meredith friend house

we will divide 24 by 2

Therefore, if she travels 2 block per minute then she travel

[tex]\frac{24}{2}=[/tex]12 block

Hence, Meredith lives 12 block from her friends house if she travel 2 block per minute .