Find the value of r.

Note: Write your answer as a decimal.

Find The Value Of R.Note: Write Your Answer As A Decimal.

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf r = 10.5}[/tex]

Step-by-step explanation:

Since it is a right-angled triangle, it has base, perpendicular and hypotenuse.

Base = r

Perpendicular = 14

Hypotenuse = r + 7

Using Pythagoras theorem:

[tex](Hypotenuse)^2 = (Base)^2+(Perp)^2[/tex]

Put the values

(r + 7)² = (r)² + (14)²

Using formula a² + 2ab + b² = (a + b)²

r² + 14r + 49 = r² + 196

Subtract r² to both sides

14r + 49 = 196

Subtract 49 to both sides

14r = 196 - 49

14r = 147

Divide 14 to both sides

r = 147 / 14

r = 10.5

[tex]\rule[225]{225}{2}[/tex]


Related Questions

A number cube is rolled two times. The first time it lands showing an even number. The second time it lands showing the number 5. Identify whether this event is independent or dependent. Explain your answer.
A. Independent; the first roll of the number cube affects the probability of the second roll.
B. Dependent; the first roll of the number cube does not affect the probability of the second roll.
C. Independent; the first roll of the number cube does not affect the probability of the second roll.
D. Dependent; the first roll of the number cube affects the probability of the second roll

Answers

Answer:

Independent; the first roll of the number cube does not affect the probability of the second roll.

Step-by-step explanation:

Two siblings, Miko and Cheko, receive some pocket money every month. This month, the ratio of Miko's pocket money to Cheko's pocket money is 8:12. Cheko's pocket money is $660. How much must Cheko give to Miko such that each of them have an equal amount of pocket money?

Answers

Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of Miko's pocket money to Cheko's pocket money.

= 8:12

= 2:3

Now,

Let's represent Miko's pocket money as 2x and Cheko's pocket money as 3x.

We know that,

3x = $660
x = $220

Miko's pocket money.

= 2x

= 2($220)

= $440.

To make their pocket money equal,

Cheko needs to give half of the difference between their pocket money to Miko.

The difference between their pocket money.

= $220 (i.e., $660 - $440).

Half of that is $110.

Therefore,

Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

9. Elena is selling tickets for an amusement
park. She sells triple the number of
student tickets as adult tickets and
she sells 8 fewer senior tickets than
adult tickets
a Write expressions for the number of
adult tickets, student tickets, and
senior tickets, using a as the number of adult tickets
b. Using your answers from part b, write
a simplified expression for the total
number of tickets Elena sells
1
C. Elena sells 15 adult tickets, does
she sell at least 100 total tickets?
Show your work

Answers

Step-by-step explanation:

A) a = students tickets

3a = adult tickets

3a+8 = senior tickets

B) a + 3a + 3a + 8 = Tt

C) 15 + 3(15) + 3(15) + 8 = 113

Therefore, she sells at least 100 total tickets

30 POINTS IF YOU ANSWER CORRECTLY!!!! I NEED HELP ASAP PLEASE!!! ALL THE ANSWERS OF THIS ONLINE ARE INCORRECT SO PLEASE HELP!!! Byron is conducting an experiment to determine whether a new medication is effective in reducing coughing. He finds 1,200 volunteers with coughing issues and divides them into two groups. The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of coughing. What can Byron conclude from this experiment?

Answers

Answer:

Step-by-step explanation:

Given Byron's discovery of 1,200 volunteers with coughing problems.

He separates them into two categories:  

1. There is no medication given to the control group.

2. The medication is given to the treatment group.

In addition, patients in the treatment group have fewer signs of coughing. As a result, Byron can conclude that the new medication works in the treatment group to reduce coughing.

The medicine given to the people, according to Byron, worked because the treatment group showed signs of less coughing.

Answer: Deduction is the effectiveness of the medication is positive since purpose for the trial was achieved. The cough symptoms responded to the medication while the control method used on the other group yielded no visible result. Medication was a better choice to the control method

Step-by-step explanation: Those who received the medication had their symptoms reduced while those who had other control measures showed no form of improvement.

Janet wants to solve the equation y startfraction y squared minus 5 over y squared minus 1 endfraction = startfraction y squared y 2 over y 1 endfraction. what should she multiply both sides of the equation by? y y2 – 1 y 1 y2 y 2

Answers

An equation is formed of two equal expressions. Janes should multiply both sides of the equation by (y²-1).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


The equation that is given is an equation with a mixed fraction, therefore, the denominator with the highest power should be multiplied on both sides of the equation. The equation that is given to us

[tex]y + \dfrac{y^2-5}{y^2-1} = \dfrac{y^2+y+2}{y+1}[/tex]

As we can see in the equation that there are 2 denominators, which are,

y²-1y+1

In the two of the expressions that are stated above the expression (y²-1) is of a higher power.

Hence, Janes should multiply both sides of the equation by (y²-1).

Learn more about Equation:

https://brainly.com/question/2263981

Joe does 25 sit ups each day.How many sit ups does he do in three weeks remember,, one week has seven days

Answers

7x3 = 21 days
25x21= 525 sit ups

Answer:

525

Step-by-step explanation:

So its 25 a day and hes doing it for 21 days because 7*3=21.

so 25*21= 525

What are the solutions to the equation y = 4x2 +5x−6?

Answers

Answer:

Option D: x = -2; x = 3/4

Step-by-step explanation:

Hello!

We can factor this expression and then find the zeroes to find our solutions.

Factor:

We have to factor by grouping. Multiply the 1st and last term, 4x² and -6 is -24x², and find two factors that equal to -24x² and add up to the second term, 5x. 8x and -3x work for this.

y = 4x² + 5x - 6y = 4x² + 8x - 3x - 6y = 4x(x + 2) - 3(x + 2)y = (4x - 3)(x + 2)

Zero-Product Property

Now, set the equation equal to zero.

0 = (4x - 3)(x + 2)

Remember, if two numbers, a and b, multiply to 0, either a or b or both numbers must be zero. So now we set both factors to zero, hence the zero-product property.

4x - 3 = 04x = 3x = 3/4

And the next one:

x + 2 = 0x = -2

The solutions are x = -2, and x = 3/4, or Option D

Luke’s payment on his new phone will be $70 per month for 12 months. Assuming the phone costs $830 at sale, how much interest will he have paid when he pays the loan on fuel

Answers

1.2048192771084%
Because 830 times .012048192771084 equals 840 which is 70 times 12

Help me with this one too Have a good day

Answers

Answer:

So, a.0, b.1/10, c.81, d.1/64

Step-by-step explanation:

Part A, anything raised to the power of zero is equal to zero. So suppose we have a constant, b, and we raise it to the power of zero, so b^0, it'll always be 0.

Part B, a negative power essentially means that you'll have to inverse the number. Once again, if we have a constant, b, and we raise it to the power of -1, it'll end up being 1/b. So b^-1 = 1/b.

Part C, its simply just multiplying 3 with itself four times.

Part D, as mentioned before, anything raised to a negative power means that you need to inverse the number. So 4^-3 is equal to 1/4^3, meaning that its just 1/64.

Which comparison is not correct?
02>-3
0 -7<-5
0-9<1
0<-4

Answers

Answer:

last one its not correct

Step-by-step explanation:

please help asap i need this for my essay (35 points)

ʏᴏᴜ’ᴠᴇ ʟᴇᴀʀɴᴇᴅ ᴀʙᴏᴜᴛ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ɪɴ ᴘʀᴇᴠɪᴏᴜꜱ ʟᴇꜱꜱᴏɴꜱ,
ʙᴜᴛ ᴄᴏᴜʟᴅ ʏᴏᴜ ᴜꜱᴇ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ᴛᴏ ᴀᴅᴅ ᴛᴡᴏ ꜰᴜɴᴄᴛɪᴏɴꜱ?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ʏᴏᴜ ᴄᴏᴜʟᴅ ꜱɪᴍᴘʟɪꜰʏ ꜰ(x) + ɢ(x) ɪꜰ ꜰ(x) = 3x + 2 ᴀɴᴅ ɢ(x) = 4x?
ᴡʜᴀᴛ ᴀʙᴏᴜᴛ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ᴏꜰ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ꜱᴜᴄʜ ᴀꜱ ꜰ(ɢ(x))?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ꜰ(ɢ(x)) ᴄᴏᴜʟᴅ ʙᴇ ꜱɪᴍᴘʟɪꜰɪᴇᴅ?
ᴡʜᴀᴛ ꜱɪᴛᴜᴀᴛɪᴏɴꜱ ᴄᴀɴ ʏᴏᴜ ᴛʜɪɴᴋ ᴏꜰ ᴡʜᴇʀᴇ ᴄᴏᴍʙɪɴɪɴɢ ꜰᴜɴᴄᴛɪᴏɴꜱ ᴡᴏᴜʟᴅ ʙᴇ ᴜꜱᴇꜰᴜʟ?

different font because brainly is censoring it for no reason?

Answers

Answer:

I think you could combine functions (not sure don't hold me to it), but im not sure of the actual process. Furthermore, combining functions could be useful if you were an architect.

Step-by-step explanation:

Simplify the expression. Write your answer as a power.

Answers

When multiplying two powers, if their bases are the same, then you simply add the exponents:

   [tex]\frac{8^5*8^3*8^2}{8^8} =\frac{8^{5+3+2}}{8^8} =\frac{8^{10}}{8^8}[/tex]

When dividing two powers, if their bases are the same, you simply minus the exponents.

  [tex]\frac{8^{10}}{8^8}=8^{10-8}=8^2[/tex]

Thus when the expression is simplified, the answer as a power is [tex]8^2[/tex]

Answer: 8^2

Hope that helps!

is y=-x+2 a linear equation

Answers

Answer:

yes it is

Step-by-step explanation:

it is linear because the number can fall on both the x and y axis

Answer:

y = -x + 2 is a Linear Equation.

Step-by-step explanation:

The equation is in slope-intercept form of a linear function.

Slope-intercept form: y = mx + b ---> y = y, -x = mx, b = 2

What is the slope of a line that passing through the points ( 6 , -10 ) and ( 8, -18) ?

Answers

Answer:

Slope = -4

Step-by-step explanation:

Given:

Point 1: (6,-10)Point 2: (8,-18)

Rate of change (Slope) formula:

[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1} }[/tex]

Where:

y₂ = y-coordinate of second point = -18y₁ = y-coordinate of first point = -10x₂ = x-coordinate of second point = 8x₁ = x-coordinate of first point = 6

Substitute the coordinates of the given points in the formula to determine the slope of the line (Rate of change).

[tex]\implies \text{Slope} = \dfrac{(-18) - (-10)}{8 - 6 }[/tex]

Finally, let's simplify the fraction on the right hand side as needed.

[tex]\implies\text{Slope} = \dfrac{(-18) + 10}{8 - 6 }[/tex]

[tex]\implies \text{Slope} = \dfrac{-8}{2 } = -4[/tex]

Therefore, the slope of a line that passes through (6 , -10 ) and (8, -18) is -4.

Solve for X and Y

Picture above

Answers

Answer...

ok done. Thank to me >:3

Johnny went to the park at 10:45am and left at 12:00pm. How long was he at the park?

Answers

[tex]\huge\mathcal{\fbox{\fbox\red{Hello}}}[/tex]

[tex]\large\underline{\mathbb{AnSwEr}:}[/tex]

10:45 am to 11:00 am : 15 minutes

11:00 am to 12:00 pm= 1 hour

Total Time= 1 hour 15 minutes.

so he was 1 hour 15 minutes at the park.

given:

went at 10:45 AM

left at 12:PM

to find:

the duration he was at the park.

solution:

( to find the duration just find the difference of the time he left and went.

= 1 hour 15 mins.

therefore, he was at the park for 1 hour 15 mins.

can someone help i’ll give brainlist

Answers

Answer: A pet store had a total of 24 fish. And they separated the fish into 4 different fish tanks tanks.

Step-by-step explanation: 24 fish / 4 fish tanks :)

homework help please!!!!!!!!!!

Answers

Answer:

the line is equal to 180 degrees so knowing that we can make our equation

(2x+3)+(x-6)=180

now all we have to do is combine like terms

3x-3=180

3x=177

x=59

plug back in

Value of A (2(59)+3)= 121

Value of B (59-6)= 53

Will name brainliest!

Answers

Answer:

B as the number of molecules increases the volume increases

Step-by-step explanation:


With explanation pls

Answers

Sum of all angles is 360. There are 8 angles. 360/8 is 45. Exterior and interior angles are supplementary meaning their sum is 180. 180-45 is 135.

4. Triangle D is the image of Triangle A~You can show that Triangle An Triangle D using a sequence of transformations. Which of these statements about Triangle A and Triangle D is true?

A. triangle D is to the left and down from triangle A.
B. triangle D is dilated from triangle A.
C. triangle A and triangle D have interior angle measures that sum to less than 180°
D. triangle A and triangle D are congruent.

Answers

Answer:

C or A po Yan sagut ko sa dalawa pumili Lang ako

What’s the volume of the figure?

Answers

Answer:

ans below

Step-by-step explanation:

when rectangle is rotated, hemisphere is formed with r =12cm

volume = 2/3πr^3

= 1152π cm^3

right triangles trigonometry

I dont understand how to solve this.​

Answers

What you are going to need to do ( I believe from my prior knowledge), you need to find the opposite of the 60° first. Your calculator needs to be in degree mode. 1st equation;

(60)tan(x/4sq14)

Once you find this answer, apply it to the opposite of the 60° angle on the far right.

Then you are going to do the solution of the equation I just stated above, times 4sq14 using the Pythagorean theorem theory shown down below.

a^2 + b^2 = c^2
first answer^2 + 4sq14^2 = C^2

C^2 will then provide the short legs of the larger triangle (they are congruent lengths in a 45-45-90 triangle)

Multiply the value of c times c without squaring either of them, like so, this will lead to the answer of X

C times C = “x”

Hope this helps!

What is the median, first quartile third quartile and interquartile of 38 46 55 56 558 59 61 65 67 75

Answers

Answer:

Median = 58.5

Q1 = 55

Q3 = 65

Interquartile = 10

Step-by-step explanation:

first let’s correct the data set :

It’s 38 46 55 56 58 59 61 65 67 75  not   38 46 55 56 558 59 61 65 67 75

Data set : 38 46 55 56 58 59 61 65 67 75

Median:

After we put Our data set from Smallest to largest

we define the median as the middle number of the data set but our set consists of an even number which is 10

In this case the median is the average of the two middle numbers which are the 5th and 6th numbers

38 46 55 56 [58 59] 61 65 67 75

Then

Median = (58+59)/2 = 117/2 = 58.5

quartile 1 : It’s just the median of the lower set of numbers which means it’s the median of : 38 46 55 56 58

Then Q1 = 55 because it’s the middle number.

quartile 3 : It’s just the median of the upper set of numbers which means it’s the median of : 59 61 65 67 75

Then Q3 = 65  (Easy to spot)

Interquartile = Q3 - Q1 = 65 - 55 = 10

compare |-0.658| and |-0.653|.

Answers

|-0.658| > |-0.653|
Can I have brainliest?

what is 1,200 x 1,300

Answers

Answer:

It's 1,560,000

Step-by-step explanation:

You can just put it into a calculator.

Answer:

1,560,000

Step-by-step explanation:

When you multiply 1,200 by 1,300, you would get 1,560,000.

please help me asap! Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. A multiple-choice question has five answer options of which two options are correct. What is the probability of randomly choosing the correct pair of answer options? The probability of choosing the correct pair of answer options is .

Answers

Using the combination formula, it is found that there is a 0.1 = 10%  probability of randomly choosing the correct pair of answer options

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 2 answers are chosen from a set of 5, hence the total number of options is given by:

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Only one pair is correct, hence the probability of randomly choosing the correct pair of answer options is given by:

p = 1/10 = 0.1 = 10%.

More can be learned about the combination formula at https://brainly.com/question/25821700


Drag the tiles to the correct boxes to complete the pairs.
Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.
tile: 1 (4/5,y), 2(1/3,y) 3(squared2/3,y), 4(2/3,y)

matching graph:
y=+/- squared5/3
y=+/- squared7/3
y=+/-3/5
y=+/-2squared2/3

Answers

Answer:

the answer is b

Step-by-step explanation:

y=+/- squared5/3

y=+/- squared7/3

y=+/-3/5

y=+/-2squared2/3

The function f(x)=2^x and g(x)=f(x+k). if k=2, what can be concluded about the graph?


the graph of g(x) is shifted vertically...

The graph of g(x) is shifted horizontally…..

Answers

Answer:

The graph g(x) is shifted vertically up by 3 units.

The graph of g(x) is shifted horizontaly left by 2 units.

Step-by-step explanation:

What is the shape of A(-5,1) B(-2,4) C(3,1) D(0,-4)

Answers

Answer: Parallelogram

Step-by-step explanation: Roughly sketched.

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