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II. Directions: Solve for the answers of the problems below.
3. Bruno is running in a plaza having a radius of 75 meters. After having a complete round, he
wants to check if how many meters he ran. Please help Bruno.

Answer:

Here ya go

Step-by-step explanation:

Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Hope it helps...

Answer:

23 nickels and 16 dimes

Step-by-step explanation:

16 dimes = 1.60

23 nickels = 1.15

1.60 + 1.15 = 2.75

Given:

The two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

To find:

The distance between given points.

Solution:

Plot the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.

Now, the hypotenuse is the distance between the two points.

[tex]\text{Perpendicular}=y_2-y_1[/tex]

[tex]\text{Base}=x_2-x_1[/tex]

Using Pythagoras theorem,

[tex]\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Taking square root on both sides, we get

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]        [Distance is always positive]

Therefore, the distance between the two points is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. It is also known as distance formula.

Answer:

C 35:15

Step-by-step explanation:

because 35:15 =5:3 so it is not equal to a ratio of 5 is to 2

Answer:

C

Step-by-step explanation:

If you simplify all the ratios, then you get the following:

A. 25/5 : 10/5 = 5:2

B. 35/7 : 14/7 = 5:2

C. 35/5 : 15/5 = 7:3

D. 40/8 : 16/8 = 5:2

Answer:

It's 4 miles East from the store.

Step-by-step explanation:

6 miles east - 2 miles west = 4 miles East

Displacement for north and south should cancel out since they are equal to each other.

Answer:

    [tex]2 (4x + 1) < 3(2x - 3) \\8x + 2 < 6x -9 \\8x - 6x < -9 - 2\\2x < -11\\\\x< - \frac{11}{2}[/tex]

Answer:

x> - 11/2

Step-by-step explanation:

See image below:)

Answer:

Step-by-step explanation:

13. Find the total number of coinsss

8+4+3+1

=16

First pick:

1/16

Second pick:

1/15

So I guess your chances are 1/16+1/15 ?

=31/240

hopefully

14.

add the sockss

3+4+3

= 10

First pick

1/10

Second Pick

1/9

Add them:

19/90

Forgive me if this is wrong

:,)

Let h be high temperature for today.

We are told that today high temperature will be at least 50 degrees. This means the high temperature will be greater than or equal to 50 degrees.

Let us represent this information by our inequality.

Therefore, our desired inequality will be .  

h [tex]\geq[/tex] 50 degrees

Answer:

The answer is "Approximately normal".

Step-by-step explanation:

sample size[tex]n=100[/tex]

Sample size [tex]n \geq 30[/tex]

It is because [tex]C \perp T[/tex] the sampling distribution of the sample means is approximately normal.

Answer:3/6 or 1/2

Step-by-step explanation::So a fair die has 6 sides so it would be soemthing out of 6 we know their 3 odd number on the die so that means it would be 3/6 or 1/2 that yu would land a odd number.

Answer:

no

the goal total would be too high

Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.

__

If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...

 s + 2s = 9

 3s = 9 . . . . . . collect terms

 s = 9/3 = 3 . . . divide by the coefficient of s

Sadie scored 3 goals. (s=4 is not the solution to the problem)

Answer:

The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.

Step-by-step explanation:

For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.

Alternate Interpretation

If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.

Answer:

Writing about two pages any topic that you want, such as story, project, event, idea, .etc.please Do not copy and paste from the Interne.

Answer:

(32 ÷4) +8

Step-by-step explanation:

More than means it comes after

quotient of 32 and 4

32÷ 4

8 more than

(32 ÷4) +8

A is

[tex] | - 9| + |9| [/tex]

absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)

B ist just 18

Answer:

1809 in²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 24 in

Step 2: Find Area

Answer:

Area of circular table is 1,809 inches².

Step-by-step explanation:

Area of circular table is given by

Area = π r²

substitute the values

Area = 3.14 × ( 24 inches )²

evaluate the exponent

Area = 3.14 × 576 inches²

multiply the numbers

Area = 1,808.64 inches ²

Round

Area = 1,809 inches²

Using the Central Limit Theorem, the false statement is given by:

B. [tex]\mu[/tex] is the sample mean. It is used to estimate the population mean.

It states that, for a normally distributed random variable X, with population mean [tex]\mu[/tex] and population standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s_E = \frac{\sigma}{\sqrt{n}}[/tex].

If we have the standard deviation for the sample s, the Central Limit Theorem can also be applied.

The sample mean is given by [tex]\overline{x}[/tex], hence option B is false.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

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Answer:

d 243

Step-by-step explanation:

The solution of given function is 243

A limit defined as the value which a function approaches as that function's inputs get closer and closer to some number

[tex]lim\ (3x-3)^\frac{5}{2} \\x\to 4[/tex]

[tex](3(4)-3)^\frac{5}{2}[/tex]

[tex](12-3)^\frac{5}{2}[/tex]

[tex](9)^\frac{5}{2}[/tex]

[tex](3^2)^\frac{5}{2}[/tex]

[tex]3^5[/tex]

243

Hence, the solution of given function is 243

Learn more about limit of function

https://brainly.com/question/23008590

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Given:

A company wants to select 1 project from a set of 4 possible projects.

Consider the options are:

a. [tex]X_1+X_2+X_3+X_4=1[/tex]

b. [tex]X_1+X_2+X_3+X_4\leq 1[/tex]

c. [tex]X_1+X_2+X_3+X_4\geq 1[/tex]

d. [tex]X_1+X_2+X_3+X_4\geq 0[/tex]

To find:

The constraints that ensures only 1 will be selected.

Solution:

It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.

[tex]X_1+X_2+X_3+X_4=1[/tex]

Therefore, the correct option is (a).

No.

Since w = 8, you must replace the variable with the number associated to it.

So, it would be 5 + 8 = 58

5 + 8 is not equal to 58, it is equal to 13.

If you wanted to find out what w was, simply subtract 5 on both sides.

w = 58 - 5

Answer:

Step-by-step explanation:

So basically you

Then you have to

And finally the answer is

The "x-interept" is the point where the graph crosses the x-axis.

From here, it looks like this graph crosses the x-axis where x=2 .

So the point is  (2, 0) .

That's choice-A .

Answer:

3/20

Step-by-step explanation:

Set up the quotient:

6!3!

------

2!5!

6! is equivalent to 6*5!, and so we have:

 6*5!3!                                     6*5!3!             6*3*2*1                   6

------------   which reduces to -------------  or  -------------------  or  ------------

   2!5!                                         2!5!              2*5*4*3*2*1          (2)*5*4  

                                                                  3

This final result simplifies further to ---------------

                                                                  20

Answer: 120m

Step-by-step explanation:

Let the height of the building be represented by x.

Since the height of a tower is 15m more than tiwce the height of a building, the height of the tower will be:

= (2 × x) + 15

= 2x + 15

Since the tower is 255m tall, therefore,

2x + 15 = 255

2x = 255 - 15

2x = 240

x = 240/2

x = 120

The height of the building is 120m

Answer:

The two minimum numbers = 5, 5

Step-by-step explanation:

Let the first number = x

let the second number = y

Their sum: x + y = 10

Sum of their squares:  = x² + y²

y = 10 - x

f(x) = x² + (10 - x)²

f(x) = x² + 100 - 20x  + x²

f(x) = 2x² - 20x  +  100

Find the derivative of f(x), to obtain the critical points;

f'(x) = 4x - 20

4x - 20 = 0

4x = 20

x = 5

The value of y is calculated as;

y = 10 - x

y = 10 - 5

y = 5

The two minimum numbers = 5, 5

Answer:

The unit rate of speed is 40 miles per hour.

Step-by-step explanation:

Since Sherrie travels 120 miles in 3 hours, to find the unit rate of speed the following calculation must be performed:

3 = 120

1 = X

(1 x 120) / 3 = X

120/3 = X

40 = X

Therefore, the unit rate of speed is 40 miles per hour.

Answer:

Carrier A is 2,104 feet and Carrier B is 2,094 feet.

Step-by-step explanation:

Since there are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B, and the total length of these two carriers is 4198 feet, while the difference of their lengths is only 10 feet, to determine the length of each aircraft carrier, the following calculation must be performed:

(4,198 - 10) / 2 = X

4.188 / 2 = X

2,094 = X

2,094 + 10 = 2,104

2,094 + 2,104 = 4,198

Therefore, Carrier A is 2,104 feet and Carrier B is 2,094 feet.

Answer:

a = 117.3 cm²

Step-by-step explanation:

a = (1/2)∅r²

a = (1/2)(7π/6)(8²)

a = (1/2)(7 * 3.14159/6)(64)

a = 117.3 cm²

Answer:

20%

Step-by-step explanation:

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