Answers
Answer:
22.2 ft
Step-by-step explanation:
=) B² = H² - P²
=) B² = 32² - 23²
=) B² = 1024 - 529
=) B = 495 root sq.
=) B = 22.2 ft
Related Questions
The table shows the purchases of two customers at a concession stand at the basketball game. Hamburgers Drinks Total Cost Customer 1 2 $13.00 Customer 2 3 7 $21.00 You want to buy 8 drinks and 9 hamburgers for you and your friends. How much do you expect to pay?
Answers
[tex]\bold{\huge{\blue{\underline{Solution}}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
Customer 1 bought 2 hamburgers and 4 drinks at a cost of $13.00Customer 2 bought 3 hamburgers and 7 drinks at a cost of $21.00[tex]\bold{\underline{ To \: Find :- }}[/tex]
We have to find the total cost of 8 drinks and 9 hamburgers[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]
Let the cost of hamburgers and drinks be x and y
According to the question,
[tex]\sf{ 2x + 4y = 13.00 ...eq( 1 ) }[/tex]
[tex]\sf{ 3x + 7y = 21.00 ...eq(2) }[/tex]
Solving eq( 1 ) we get :-
[tex]\sf{ 2x + 4y = 13 }[/tex]
[tex]\sf{ 2x = 13 - 4y }[/tex]
[tex]\sf{ x = (13 - 4y)/2 ...eq(3)}[/tex]
Subsituting eq(3) in eq( 2 ) :-
[tex]\sf{ 3( 13 - 4y)/2 + 7y = 21 }[/tex]
[tex]\sf{ 39 - 12y/2 + 7y = 21 }[/tex]
[tex]\sf{ 39 - 12y + 14y = 42}[/tex]
[tex]\sf{ 2y = 42 - 39 }[/tex]
[tex]\sf{ 2y = 3 }[/tex]
[tex]\sf{ y = 3/2 }[/tex]
Subsituting value of y in eq(3) :-
[tex]\sf{ x = 13 - 4(3/2)/2}[/tex]
[tex]\sf{ x = 13 - 2(3)/2}[/tex]
[tex]\sf{ x = 13 - 6/2}[/tex]
[tex]\sf{ x = 7/2 }[/tex]
Therefore,
[tex]\sf{ Cost\: of \:8 \:drinks}[/tex]
[tex]\sf{ = 8 * 3/2 }[/tex]
[tex]\sf{ = 4 * 3 }[/tex]
[tex]\sf{ = 12.00 dollars}[/tex]
And
[tex]\sf{ Cost\: of \:9 \:hamburgers }[/tex]
[tex]\sf{ = 9 * 7/2 }[/tex]
[tex]\sf{ = 63/2}[/tex]
[tex]\sf{ = 31.50 dollars}[/tex]
Total cost of the 8 drinks and 9 hamburgers
[tex]\sf{ 12.00 + 31.50}[/tex]
[tex]\sf{\red { = 43.50 \:dollars}}[/tex]
Hence, The total cost paid by you for 8 drinks and 9 hamburgers is $43.50 .
Students can choose water, milk, or juice for lunch. The graph shows student drink choices from yesterday's lunch. What is the experimental probability that a student will choose juice for lunch?
a. 20%
b. 13%
c. 70%
d. 60%
Answers
Answer:
for me its b.
Step-by-step explanation:
because its up to 5% to 12%
Ok I need help please?
Answers
Answer:
Step-by-step explanation:
1. 4/1
2. 5/1
3. 1/8
4. 2/3
5. 3/4
6. 4/12 = 1/3, 8/12 = 2/3
7. 2/5, 3/5
Business A charter bus service charges a $125 transportation fee plus
$8.50 per passenger. This is represented by the function c = 8.5p + 125,
where c is the total cost based on p passengers. What is the total cost of
transportation for the following numbers of passengers: 50, 100, 150, 200,
and 250?
Life Science Tyrannosaurus rer was one of the largest
non
Answers
Answer:
550, 975, 1400, 1825, and 2250
Step-by-step explanation:
Joe will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $51.98 and costs an
additional $0.17 per mile driven. The second plan has an initial fee of $59.98 and costs an additional $0.13 per mile driven. How
many miles would Joe need to drive for the two plans to cost the same?
Answers
Answer:
200
Step-by-step explanation:
This problem is about linear equations. We assume Joe drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=51.98+0.17X
Plan II: Y=59.98+0.13X
When both plans cost the same, 51.98+0.17X=59.98+0.13X. We will get X = 200
Directions: Solve the following inequalities. Be sure to follow the rules for operations with signed numbers.
1. -4x + 2 > 0
2. +5x > x + 4
3. 3x + 4 < 10
4. -10x + 5 -4 > 4x + 3
5. 6x + 3 < 7x - 10
6. 2x - 4 < 8x + 2
7. -3s + 3 > 3
8. 4s + 2s > 6
9. 6t < 12
10. 11x < 121
11. 3x > 36
12. 25x < 500
13. 16r < 8 (10)
14. 6s > 216
15. 8x < 64
Answers
1. x < 1/2
2.x > 1
3.x < 2
4.x < - 1/7
5.x > 13
6.x > -1
7. s = 0
8.s > 1
9.t < 2
10.x < 11
11.x > 12
12.x < 20
13.r < 5
14.s > 36
15.x < 8
Thats all hope it helps and sorry if its incorrect and yes im very sure!
Just an answer and a simple explanation are needed. Please and thank you!
Answers
Answer:
KL = 51
Step-by-step explanation:
1: Make an equation
[tex]10x -2 = 5x-8 + 7x -12[/tex]
the 10x is the JL line which is the whole line segment
2: start solving by getting all x to be on one side
[tex]10x-5x-7x = -8 -12 +2[/tex]
3: simplify
[tex]-2x = -18[/tex]
4: solve for x
[tex]x=9[/tex]
5: plug x back into KL
[tex]7(9)-12 = 51[/tex]
How do i solve this???
Answers
PLEASE HELP: find the minimum and maximum values for the function with the given domain interval
Answers
Answer:
I think that it's the third one.
Step-by-step explanation:
Answer:
minimum value = 0.001
maximum value = 10
Step-by-step explanation:
To find the minimum and maximum values for the function, substitute the endpoints of the domain into the function:
when x = -3:
[tex]\implies k(-3)=10^{-3}=0.001[/tex]
when x = 1:
[tex]\implies k(1)=10^{1}=10[/tex]
Therefore,
minimum value = 0.001
maximum value = 10
Is what's below a complete sentence or a fragment?
Iris West is very happy today.
Answers
Answer:
complete sentence
Step-by-step explanation:
it has a subject and a verb
Answer:
I would say sentence.
Step-by-step explanation:
It has punctuation, a subject, and a verb, so I would say it's a sentence.
cot 75= 2 - square root 3
Answers
Answer:
The value of cot 75° is 2 - √3 or 0.2679(approx).
Step-by-step explanation:
I hope it helps!
Muffin<3
Jake is buying a sweater with a price of $30 shown on the tag. The store is having a sale that will reduce the price by 30%. Sales tax of 5% will be added to the final purchase price. What is Jake’s total cost for the sweater? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $22.05)
Answers
Reducing
30-30*0.3=
21
21+21*0.05=22.05
HELP PLEASE
A 180-ounce bag weighs more than an 11-pound bag. True or false?
True
False
Answers
Answer:
True
Step-by-step explanation:
Just a tip, there are 16 ounces in a pound, and just searching 180 ounces into pounds can help with this stuff to if you don't want to do math yourself
Answer: False
Step-by-step explanation: Pound weighs more in ounce.
Given the function f(x)=4x2−3x+4f(x)=4x2-3x+4. Calculate the following values:
f(−2)=f(-2)=
f(−1)=f(-1)=
f(0)=f(0)=
f(1)=f(1)=
f(2)=f(2)=
Answers
Answer:
26, 11, 4, 5, 14
Step-by-step explanation:
To find the value of the function, replace the variable with the number and do the arithmetic.
f(-2) = 4(-2)² -3(-2) +4 = 16 +6 +4 = 26
For doing repetitive calculations, it is convenient to write the formula into a calculator or spreadsheet and let it work from the list of values. That is what we did in the attached. It shows a table of x and f(x) for the values of x you are interested in.
The function values are ...
f(-2) = 26f(-1) = 11f(0) = 4f(1) = 5f(2) = 14_____
Additional comment
For evaluating polynomials, either by hand or machine, it is often convenient to rewrite the polynomial in Horner Form. The total number of math operations tends to be reduced. When doing this by hand, the arithmetic tends to be easier.
f(x) = (4x -3)x +4
That is, the powers of x accumulate as each layer in parentheses is multiplied by x and the next coefficient added to the result.
Using this form, ...
f(-1) = (4(-1) -3)(-1) +4
f(-1) = (-7)(-1) +4 = 11
Special right triangle 30-60-90 degrees lesson 3 homework
Answers
Attached is a picture of the answers.
If r = 12.5 and s = |−13|, which of the following inequalities is not true?
r ≠ s
r < s
r ≥ s
r ≤ s
Answers
Answer:
C is not true
Step-by-step explanation:
r is not larger than or equal to s
(5x2 + 23x - 7) - (x2 - 4x + 21) is equivalent to expression
Answers
4x² - 27x - 28 is the answer
Step-by-step explanation:
As per question,
(5x² + 23x - 7) - (x² - 4x + 21)
Removing the parentheses,
→ 5x² + 23x - 7 - x² + 4x - 21)
Now reorder and gather the like terms,
→ (5x² - x²) + (23x + 4x) + ( -7-21 )
Collecting the coefficients of like terms,
→ (5-1)x² - (23+4)x + ( -7-21 )
Calculating them now, we get,
→ 4x² - 27x - 28
So, (5x² + 23x - 7) - (x² - 4x + 21) = 4x² - 27x - 28
helpppppp pleaseeeeeee
Answers
A robot can complete 7 tasks in
2
3 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
Answers
the answer is fourteen (14)
Pls help (giving brainliest to first answer)
Answers
Answer:
(0, -7) and (5, 0)
Step-by-step explanation:
y-intercept is when x = 0, therefore (0, -7)
x-intercept is when y = 0, therefore (5, 0)
Answer:
X intercept: (5,0) Y intercept: (0,-7)
Step-by-step explanation:
So you want to look at where you have an x value (input) and it's output (y) is 0 for x intercept, and you want to look at the y value (output) and it's input (x) to be 0 for the y intercept, so on the left we see that 5 = 0, and on the right we see that -7 = 0, and then write them as is, so (5,0) and (0,-7)
Hope that made sense and this helps!
(56x + 16y) × 0,4/x = 32
what is x and y?
Answers
Answer:
112x + 32y
----------------
5x
Step-by-step explanation:
x and y are variables
1- Convert the expression
2- Simplify the expression
3- Calculate
Question shown below within image.
Answers
Answer:
m∠x = 119°
m∠y = 61°
m∠z = 119°
Step-by-step explanation:
Angle x:
m∠x = 180° - 61° (sum of angles in a straight line)m∠x = 119°Angle y:
m∠y = 61° (Alternate interior angles)
Angle z:
m∠z = 119° (Sum of angles in a line, corresponding angles)
-Chetan K
One equation in a system of equations is y=2x+10. Which equation below would have to be the second equation so that the system has infinitely many solutions?
Answers
Answer:
D
Step-by-step explanation:
y = 2x + 10 is the same thing as y = 2(x + 5) because 2 x x = 2x and 2 x 5 = 10
Simplify Option D
y=2(x+5)y=2x+2(5)y=2x+10As everything is same
i.e
A1/A2=B1/B2=C1/C2Hence infinitely many solutions are present
The _____ is a point estimate of the population mean for the variable of interest. a. sample mean b. geometric mean c. median d. sample
Answers
There are different ways to estimate a variable. The sample mean is a point estimate of the population mean for the variable of interest.
What is a point estimate of the population mean?A point estimate is known to be the value of a sample statistic that is often applied as one estimate of a specific population parameter.
The sample mean is defined simply as a form of average value seen in a sample. A sample is known to be the little portion of a whole.
Learn more about sample mean from
https://brainly.com/question/7597734
please help ASAPPPP SOMEONE :(
Answers
Answer:
rip
Step-by-step explanation:
Find the area of the shaded region
Answers
Answer:
The shaded area is 35
Step-by-step explanation:
Big rectangle area: 7 * 10 = 70
Small rectangle area: 5 * 7 = 35
Difference: 35
I need help!!!!!!!!!
Answers
Answer:
Greatest- 2 × 4/9
Then- 1 2/3 × 4/9
Then- 7/7 × 4/9
Lest- 3/4 × 4/9
Step-by-step explanation:
The right hand fraction you are timing by is the same whilst on the left they grow so you order them and dont focus on the times aspect of the question
Syntax error wrong question
Celia has some cakes.
2/3
of the cakes are chocolate cake and
6/7
of the remaining cakes are cheesecakes. The rest of the cakes are carrot cakes.
What fraction of the cakes are carrot cakes?
Leave your answer as a fraction in the simplest form.
Answers
The carrot cakes are the fraction of the cake given by [tex]1 - \frac{6}{7}[/tex] multiplied by [tex]\frac{1}{3}[/tex]
The fraction of the cakes that are carrot cakes is [tex]\underline {\dfrac{1}{21}}[/tex]How are the cakes evaluated as fractions?The fraction of the cake that are chocolate cake = [tex]\dfrac{2}{3}[/tex]
The fraction of the remaining cake that cheesecakes = [tex]\dfrac{6}{7}[/tex]
The rest of the cakes = carrot cakes
Required:
The fraction of the cake that are carrot cakes
Solution:
The fraction of the cakes that are not chocolate cake = [tex]1 - \dfrac{2}{3} = \mathbf{ \dfrac{1}{3}}[/tex]
The fraction of the remaining cakes that are cheesecake = [tex]\dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{ \dfrac{6}{21}}[/tex]
The fraction of the cake that are carrot cake = [tex]\dfrac{1}{3} - \dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{\dfrac{1}{21}}[/tex]
The fraction of the cakes that are carrot cake is [tex]\underline{\dfrac{1}{21}}[/tex]Learn more about fractions here:
https://brainly.com/question/3840488
please please please help
Answers
Answer:
32
4 cups
Step-by-step explanation:
Answer:
ratio
Step-by-step explanation:
0 to 100
i dont know the second one srry
Help me pls
1. In a two-digit number, the sun of the two digits is 10. If the two digits are reversed, the original number is less than the new number by 36. Find the original number.
2. In a two-digit number, twice the tens digit is less than the units digit by 3. If the two digits are reversed, the new number is greater than twice the original number by 18. Find the original number
Answers
1) The pairs of numbers are:
19 and 91, which do not satisfy the condition
28 and 82, which do not satisfy the condition
37 and 73, which satisfy the condition
45 and 54, which do not satisfy the condition
The number is 37.
Another method:
10x+y+36 = 10y+x, or
9x+36 = 9y, or
x+4= y …(1)
x+y = 10, or
y = 10-x …(2)
Equate (1) and (2)
x+4 = 10-x
2x = 10–4 = 6, or x = 3 so y = 10–3 = 7.
So the number is 37
( Sorry I can answer number 1 i'm in a rush and I don't really use my brain it's useful but also not. I hope someone answer your question number 2 'ᴗ' Good luck! I also hope my answer is useful. )