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]
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
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
compare |-0.658| and |-0.653|.
is y=-x+2 a linear equation
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
Simplify the expression. Write your answer as a power.
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!
what is 1,200 x 1,300
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.
What is the shape of A(-5,1) B(-2,4) C(3,1) D(0,-4)
Answer: Parallelogram
Step-by-step explanation: Roughly sketched.
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…..
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’s the volume of the figure?
Answer:
ans below
Step-by-step explanation:
when rectangle is rotated, hemisphere is formed with r =12cm
volume = 2/3πr^3
= 1152π cm^3
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?
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
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Johnny went to the park at 10:45am and left at 12:00pm. How long was he at the park?
[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.
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.
With explanation pls
Joe does 25 sit ups each day.How many sit ups does he do in three weeks remember,, one week has seven days
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
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
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+1In 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
What is the median, first quartile third quartile and interquartile of 38 46 55 56 558 59 61 65 67 75
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
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.
Answer:
C or A po Yan sagut ko sa dalawa pumili Lang akoplease 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?
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:
can someone help i’ll give brainlist
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 :)
What is the slope of a line that passing through the points ( 6 , -10 ) and ( 8, -18) ?
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 = 6Substitute 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.
Will name brainliest!
Answer:
B as the number of molecules increases the volume increases
Step-by-step explanation:
Which comparison is not correct?
02>-3
0 -7<-5
0-9<1
0<-4
Answer:
last one its not correct
Step-by-step explanation:
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
Solve for X and Y
Picture above
Answer...
ok done. Thank to me >:3
What are the solutions to the equation y = 4x2 +5x−6?
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 PropertyNow, 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 = 3/4And the next one:
x + 2 = 0x = -2The solutions are x = -2, and x = 3/4, or Option D
homework help please!!!!!!!!!!
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
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
Answer:
the answer is b
Step-by-step explanation:
y=+/- squared5/3
y=+/- squared7/3
y=+/-3/5
y=+/-2squared2/3
Help me with this one too Have a good day
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.
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
Answer:
Independent; the first roll of the number cube does not affect the probability of the second roll.
Step-by-step explanation:
right triangles trigonometry
I dont understand how to solve this.
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?
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.
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 .
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