In right triangle ABC, AB = 10, AC = 6 and BC = 8 units. What is the distance from C to the midpoint of segment AB?

Answers

Answer 1

using herons formula you find the area
s=24/2=12
[tex] A=\sqrt{s(s-a)(s-b)(s-c)} [/tex]
A=24
and A=0.5 base height
sp
24=0.5 (base=AB=10)(height=c to the midpoint of segment AB)
24=5(height)
[tex] \frac{24}{5} [/tex]=height

Answer 2

midpoint of AB is obviously 5 because its asking for half of the line .
Then layout the triangle as shown in the diagram .
then use Pythagoras theorem which is the hypotenuse squared is equal to the 2 shorter legs squared.
c2=a2+b2
c2=5^2+6^2
c2=25+36
c2=61
c=square root of 61

Related Questions

Which second-degree polynomial function has a leading coefficient of 3 and roots –4 and 6?

Answers

You can find the second-degree polynomial function that has a leading coefficiente of 3 and roots - 4 and 6, in this way:

f(x) = 3 (x + 4) (x - 6)

Now expand the parenthesis using the notable product

f(x) = 3 (x^2 - 2x - 24)

Now use distributive property:

f(x) = 3x^2 - 6x - 72

As you see it has leading coefficient 3 and you can demonstrate that the roots are - 4 and 6.

Answer: f(x) = 3x^2 - 6x - 72

Enjoy!!!
If (7^2)x = 1, what is the value of x? Explain your answer.
If (7^0)x = 1, what are the possible values of x? Explain your answer.

Answers

(7^2)x = 1

7^2 = 49

49x = 1

x = 1/49

(7^0)x=1

7^0 = 1 (anything raised to 0 = 1)

1x = 1

x = 1

The sum of two integers is greater than 12. One integer is 10 less than the other. What are the values of the integers?

Answers

Let's set up an equation:

x plus y is greater than 12

x + y > 12

One of the integers is ten less than twice the other one

x = 2y -10

Time to start solving:

(2y-10) + y > 12
2y + y > 12 + 10
3y > 22
3y=24
y=8

Now its time to find the value of x:

x=2(8) - 10
x=16-10
x= 6

6 + 8 > 12, 6+8 is greater than twelve.

In conclusion we can wrap up that 6 and 8 are the least value integers.

Q equal 1/2 p plus 15 solve for p

Answers

If Q=(1/2)(P)+15, we can multiply both sides by 2 to get 2Q=2(P/2+15)=P+30. Next, we can subtract 30 from both sides to get 2Q-30=P

what is an angle between a side of a polygon and the extension of its adjacent side

Answers

i would say that the angle would be an exterior angle because it's usually between the side of the polygon connected by a line as an extension of the adjacent side.

here's an example. hope it helps!

The angle between a side of a polygon and the extension of its adjacent side is the exterior angle at that vertex, forming a linear pair with the adjacent interior angle.

Angle between a side of a polygon and the extension of its adjacent side: When considering a polygon, the angle between a side and the extension of its adjacent side is equal to the exterior angle of the polygon at that vertex. This angle forms a linear pair with the adjacent interior angle of the polygon.

69.5 is What precent of 85?

Answers

69.5 percent of 85 is 59.075

69.5 x 100= 6950
6950 ÷ 85 = 81 percent

you earn $70 per week mowing lawns one week you work 10 hours during the week and spend $20 on gasoline for your mower how much do you earn each hour

Answers

Total income is $70/week. $20 of that goes towards the cost of gas. Thus, the net earnings were $50 for the week.

$50
------------------- = $5 per hour
10 hours

Find the critical points of the function. (enter your answers as a comma-separated list.) g(x) = 4 − x2

Answers

Please use "^" to denote exponentiation: g(x) = 4 - x^2.

To find the critical point, differentiate g(x), set the result = to 0, and solve for x:

g '(x) = -2x = 0. Then x = 0 is the only critical value in this case.

The graph of g(x) is a vertical parabola opening down, and the horizontal tangent line is y = 4.

Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and each roll of dimes has a value of $5. He exchanges $90 and receives 11 rolls of coins. How many of each type of roll of coins did he receive?

Answers

6 rolls of dimes = $30.

6 rolls of quarters = $60.

Answer:

7 roll of quarter and 4 roll of dimes.

Step-by-step explanation:

Let x be the number of rolls of quarters and y be the number of rolls of dimes,

Given,

Total rolls = 11

⇒ x + y = 11 ------(1),

Also, the total value of $ 90 in which Each roll of quarters has a value of $10 and each roll of dimes has a value of $5.

⇒ 10x + 5y = 90 ------(2),

Equation (2) - 5 × Equation (1),

We get,

5x = 90 - 55

⇒ 5x = 35 ⇒ x = 7

From equation (1),

7 + y = 11 ⇒ y = 4

Hence, the number of roll of quarters = 7,

And, the number of roll of dimes = 4

a girl is the same age if she takes 3/4 of her age +9 or 1/4 +21. what is her age?

Answers

let's say she's "x" years old.

[tex]\bf \stackrel{her~age}{\cfrac{3x}{4}+9}~~=~~\stackrel{her~age}{\cfrac{x}{4}+21}\impliedby \textit{now, let's multiply both sides by }\stackrel{LCD}{4} \\\\\\ \boxed{4}\cdot \cfrac{3x}{4}+\boxed{4}\cdot 9~~=~~\boxed{4}\cdot \cfrac{x}{4}+\boxed{4}\cdot 21\implies 3x+36=x+84 \\\\\\ 2x=48\implies x=\cfrac{48}{2}\implies x=24[/tex]

what percent of 176 is 17.6

Answers

10%

To find 100% percent sure, multiply 17.6 *10

17.6 * 10 = 176

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 176 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 176 is 100%, so we can write it down as 176=100%.
4. We know, that x is 17.6% of the output value, so we can write it down as x=17.6%.
5. Now we have two simple equations:
1) 176=100%
2) x=17.6%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
176/x=100%/17.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 17.6% of 176

176/x=100/17.6
(176/x)*x=(100/17.6)*x - we multiply both sides of the equation by x
176=5.6818181818182*x - we divide both sides of the equation by (5.6818181818182) to get x
176/5.6818181818182=x
30.976=x
x=30.976

now we have:
17.6% of 176=30.976

What is factor out the coefficient of the variable of 4h-3

Answers

Strictly speaking, you cannot factor 4 out of 3. But you can divide 3 by 4 and obtain 3/4:

4h - 3 = 4[h - 3/4]

Sara bought two pounds of strawberries for $5.12. What is price in dollars per ounce of strawberries 1 pound =16 ounces

Answers

Sara paid .16 per ounce of strawberrys...

Help with #30 Please!

Answers

188/47637= 0.0039% chance
40 x 0.0039 = 0.0000975% chance

It is a exteremely low chance that those that left against medical advice.

Which means the others have a exteremely high percentage, of 99.0061% and 99.0000025% chance

hope this helps

In an eye color study, 25 out of 50 people in the sample had brown eyes. in this situation, what does the number .50 represent?

Answers

The total number of people in this expermiment.

Final answer:

The number .50 in the context of this question represents the proportion (or probability) of people in the sample who have brown eyes. It's calculated by dividing the count of individuals with brown eyes by the total number of individuals in the sample.

Explanation:

In this context, the number .50 represents the proportion or probability of people with brown eyes in the sample. This number is obtained by dividing the number of people with brown eyes (25) by the total number of people in the sample (50).

Hence, .50 means there is a 50% chance that a randomly selected person from the sample will have brown eyes. This is often used in the field of statistics where proportions are utilized to represent probabilities of outcomes.

Learn more about Probability here:

https://brainly.com/question/22962752

#SPJ2

The sum of three consecutive integers is 90. Find the integers

Answers

the numbers are 29,30,31.

The sum of three consecutive integers is 90. So you know that 3 numbers that are next to each other in numerical order equals 90.

First step: Make an equation:

Let's take x as the smallest of the three numbers.

[tex]x +(x+1)+(x+2)=90[/tex]

2nd step: Open the brackets:

[tex]x+x+1+x+2=90[/tex]

3rd step: Simplify:

[tex]3x+3=90[/tex]

4th step: Keep similar integers on one side of the equation

[tex]3x+3-3=90-3[/tex]

5th step: Solve for x:

[tex]3x=87[/tex]

[tex]\frac{3x}{3} =\frac{87}{3}[/tex]

[tex]x=29[/tex]

So if the numbers are consecutive, they have to be next to each other.

Answer: 29, 30, 31

If you want more answers like this, check my profile to see other descriptive answers I made.

Mr. Thomas purchased a car for $30,000. in 4 years the value of the car decreased to $22,000. Which integer represents the average net change in value per year?

Answers

The change in value over 4 years is
$22,000 - 30,000 = -$8,000

so the average change in value per year is
-8000/4 = -2000

Hello, I am taking Quantitative methods for business, which has a lot of excel based mathematics and I was wondering if anyone could help. Here is the question:

Refer to the table that illustrates customer’s complaints about a manufacturing company.

A. What is the probability a customer complained during the guarantee period?

B. What is the probability that a customer complained about an electrical problem or a mechanical problem?

Table is included in attachment. Also Thank you!!!

Answers

Part A:

The probability that a customer complained during the guaranteed period is given by the number of costumers that complained during the guarantee period devided by the total number of students.

Therefore, the probability that a customer complained during the guaranteed period is [tex] \frac{1,890}{3,000} = \frac{63}{100} [/tex]

Part B:

The probability that a customer complained about an electrical problem or a mechanical problem is given by the sum of the probability that the customer complained about an electrical problem or the probability that the customer complained about a mechanical problem.

Therefore, the probability that a customer complained about an electrical problem or a mechanical problem is [tex] \frac{900}{3,000} + \frac{1,050}{3,000} = \frac{1,950}{3,000} = \frac{13}{20} [/tex]

What is the difference of (4-5y)-2(3.5y-8)?

Answers

20 - 12y Simplify parentheses: 4 - 5y - 7y + 16 Combine similar terms: 4 + 16 - 5y - 7y Simplify: 20 - 12y

How l can write a brief summary about measurement for 3rd grade

Answers

The topic "measurement" is very, very broad.
You'd be best off by limiting your scope to a couple of familiar situations:

Weighing a piece of chocolate

Having your height and weight measured by the school nurse

Counting the number of coins in your pocket

Getting a rough measure of how well you have learned new material by checking how many questions you got right out of the whole test.

there are 182 seats in a theater. The seats are evenly divided into 13 rows. How many seats are in each row

Answers

There are 14 seats in each row.

Kareem runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Use an equation of proportions to solve this problem.

x 44 min
-------- = ------------
6 mi 55 min

Reduce this to x/6 = 1/11. Then 11x = 6, and x = 11/6 miles, or 1 5/6 miles.

55x = 264 => 4.8 miles in 44 minutes.

Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
A) y + 6 = -1(x – 5)
B) y – 6 = -1(x + 5)
C) y + 6 = 1(x – 5)
D) y – 6 = 1(x + 5)

Answers

The point slope form:
[tex]y - y_1 = m(x - x_1)[/tex]

We need to find the slope. To find the slope we can use the following formula:
[tex]\frac{y_2 - y_1}{x_2 - X_1}[/tex]

Use the points (-5, 6) and (0, 1) and plug it into our slope formula and solve:
[tex]\frac{1 - 6}{0 - (-5)}[/tex]
[tex]\frac{-5}{5} = -1[/tex]

So our slope is -1 which means m = slope = -1
Now that we have our slope lets create the point slope form

Our point slope form equation is [tex]y - y_1 = m(x - x_1)[/tex] Remember
m = slope = -1. Also, we are going to use the point (-5,6).

First insert the m = slope = -1 number where m is located
[tex]y - y_1 = -1(x - x_1)[/tex]

Next, insert the -5 from (-5,6) where [tex]x_1[/tex] is located and the 6 from (-5,6) where [tex]y_1[/tex] is located.
[tex]y - y_1 = -1(x - x_1)[/tex]
[tex]y - 6 = -1(x - (-5))[/tex]
Now simplify
[tex]y - 6 = -1(x - (-5))[/tex]
[tex]y - 6 = -1(x +5)[/tex] <-------Answer

The point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1) is [tex]$ \boxed{A) y + 6 = -1(x - 5)} $[/tex].

To find the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1), we first need to calculate the slope (m) using the formula:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Given points:

[tex]$(-5, 6)$ and $(0, 1)$[/tex]

Calculate the slope m:

[tex]\[ m = \frac{1 - 6}{0 - (-5)} = \frac{-5}{5} = -1 \][/tex]

Now that we have the slope m = -1, we can use the point-slope form of the equation of a line, which is:

[tex]\[ y - y_1 = m(x - x_1) \][/tex]

Choose one of the points, let's use [tex]$(-5, 6)$ as $(x_1, y_1)$[/tex]:

[tex]\[ y - 6 = -1(x + 5) \][/tex]

Now, simplify and compare with the given options:

[tex]\[ y - 6 = -1(x + 5) \][/tex]

So, the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1) is [tex]$ \boxed{A) y + 6 = -1(x - 5)} $[/tex].

What is 2r+7+r=? I'm not sure

Answers

3r+7 I think...........

2r + 7 + r = ?

Combine like terms.

(2r + r) + 7

Simplify.

3r + 7

~Hope I helped!~

What is the smallest natural number that has three distinct prime factors in its factorization?

Answers

It's 30. It's primary factors are : 2,3 and 5.

The surface area of an open-top box with length L, width W, and height H can be found using the formula: A= 2LH + 2WH + LW Find the surface area of an open-top box with length of 7 cm, width 6 cm, and height 3 cm.

Answers

The area would be 120cm^2

Final answer:

The surface area of an open-top box with a length of 7 cm, width of 6 cm, and height of 3 cm is calculated using the formula and comes out to be 120 cm².

Explanation:

To find the surface area of an open-top box with given dimensions, we use the formula: A= 2LH + 2WH + LW. Substituting in the provided lengths for length (L), width (W), and height (H):

A = 2(7 cm)(3 cm) + 2(6 cm)(3 cm) + (7 cm)(6 cm)

A = 2(21 cm²) + 2(18 cm²) + 42 cm²

A = 42 cm² + 36 cm² + 42 cm²

A = 120 cm²

This gives us the total surface area of the open-top box which is 120 cm².

20. What percent of 392 is 98? 22. 33% of what number is 145? 24, 17 is 40% of what number?

Answers

20)

if we take 392 to be the 100%, what is 98 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 392&100\\ 98&p \end{array}\implies \cfrac{392}{98}=\cfrac{100}{p}\implies p=\cfrac{98\cdot 100}{392}[/tex]

22)

let's say is "x", so if "x" is the 100%, and we know that 145 is the 33%, what the dickens is "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 145&33 \end{array}\implies \cfrac{x}{145}=\cfrac{100}{33}\implies x=\cfrac{145\cdot 100}{33}[/tex]

24)

again, if we take "x" to be the 100%, and we know that 17 is 40%, what is "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 17&40 \end{array}\implies \cfrac{x}{17}=\cfrac{100}{40}\implies x=\cfrac{17\cdot 100}{40}[/tex]

After a discount of 10%, the price of a pair of jeans, including tax, was $69.62. The following equation can be used to find x, the price of the pair of jeans without the discount:

x - 0.1x + 0.07(x - 0.1x) = 69.62

What is the price of the pair of jeans without the discount?

A-$70.58
b-$72.29
c-$74.86
d-

Answers

The price without the discount would be b-$72.29

First, we need to multiply all numbers that contain variable x

x -0.1 x + 0.07x - 0.007x = 69.62

0.963 x = 69.62

After this, we just need to find the value of x

x= 69.62 / 0.963

x = 72.29

There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability pf that child getting a green marble

Answers

2/5
The probability is the green over the total

Answer: The required probability that the child took a green marble is 40%.

Step-by-step explanation: Given that there are 9 red and 6 green marbles in a bag and a child reaches in the bag and randomly takes one marble.

We are to find the probability that the child took a green marble.

Let S denote the sample space of choosing a marble from the bag and A be the event of choosing a green marble.

Then,

n(S) = 9 + 6 = 15 and n(A) = 6.

Therefore, the probability of event A will be

[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{6}{15}=\dfrac{2}{5}\times 100\%=40\%.[/tex]

Thus, the required probability that the child took a green marble is 40%.

Given that the restaurant is located in a city with a population over 500,000, what is the probability that it is in the northeast?

Answers

The probability is 0.187 or 18.7% that the restaurant chosen at random is in the north east and is located in a city with a population over 500,000.

To find the likelihood that a haphazardly picked eatery from the 588 outlets situated in a city with a populace more than 500,000 is in the north east, we really want to know the quantity of cafés that meet these two rules and are situated in the north east.

Let's look for this information using the table:

Northeast Midwest South West More than 500,000 Over 500,000 110 95 178 66 Less than 500,000 53 39 38 9 The table indicates that 110 restaurants are located in the north east of the United States in cities with more than 500,000 residents. In this manner, the likelihood that a haphazardly picked eatery from the 588 outlets situated in a city with a populace more than 500,000 is in the north east is:

P(Northeast and North of 500,000) = 110/588 = 0.187

Thus, the likelihood is 0.187 or 18.7% that the café picked aimlessly is in the north east and is situated in a city with a populace more than 500,000.

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