Answers
Answer: Choice A)
[tex]H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\[/tex]
=================================================
Work Shown:
[tex]SA = 2(LW + LH + HW)\\\\2(LW + LH + HW) = SA\\\\LW + LH + HW = \frac{SA}{2}\\\\LH + HW = \frac{SA}{2} - LW\\\\H(L + W) = \frac{SA}{2} - LW\\\\H = \frac{\frac{SA}{2} - LW}{(L + W)}\\\\H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\[/tex]
This is not the only way to solve for H.
Related Questions
Use the quadratic formula to solve for x. 3x2 = 8x-1 Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. = 0 X $ ?
Answers
Answer:
[tex]x \approx 0.13, 2.54[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
3x² = 8x - 1
Step 2: Rewrite
Put equation in Standard Form
Subtract 8x on both sides: 3x² - 8x = -1Add 1 to both sides: 3x² - 8x + 1 = 0Step 3: Identify Variables
a = 3
b = -8
c = 1
Step 4: Solve for x
Substitute [Quad Formula]: [tex]x=\frac{8\pm\sqrt{(-8)^2-4(3)(1)} }{2(3)}[/tex]Evaluate Exponents: [tex]x=\frac{8\pm\sqrt{64-4(3)(1)} }{2(3)}[/tex]Multiplication: [tex]x=\frac{8\pm\sqrt{64-12} }{6}[/tex]Subtraction: [tex]x=\frac{8\pm\sqrt{52} }{6}[/tex]Simplify Radical: [tex]x=\frac{8\pm2\sqrt{13} }{6}[/tex]Factor GCF: [tex]x=\frac{2(4\pm\sqrt{13}) }{6}[/tex]Simplify Fraction: [tex]x=\frac{4\pm\sqrt{13}}{3}[/tex]Evaluate: [tex]x=0.131483, 2.53518[/tex]Round: [tex]x \approx 0.13, 2.54[/tex]Which graph is a function of x?
Answers
Answer:
1st one jus did this
Step-by-step explanation:
easy
Pls help I’m literally gonna fail this. It’s dependent variables I suck at this because of the fractions. ILL GIVE BRAINLIEST IF YOU GET IT RIGHT! Number it like pls help and give an explanation I’m literally stuck
Picture 1:
1. 2 3. Etc
Picture 2.
1. 2. 3
Answers
Answer:he aspect ratio of an image is the ratio of its width to its height. It is commonly expressed as two numbers separated by a colon, as in 16:9. ... In still camera photography, the most common aspect ratios are 4:3, 3:2, and more recently found in ... In motion picture formats, the physical size of the film area between the sprocket ...
Step-by-step
THIS IS URGENT PLS!!!
Answers
Answer:
b i believe
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
y is slowly decreasing in both of them
Kenise will begin college as a freshman next fall and has received a 10-year $5,500 Federal Direct Unsubsidized Loan with an interest rate of 6.8%. She will be required to begin making payments six months after graduation. How much interest will accrue while she is still in school and over the six-month grace period?
Answers
Answer:
The interest accumulated will be $3,927
Step-by-step explanation:
Mathematically;
Simple interest = PRT/100
From the question, we have P as the amount borrowed = $5,500
R is the interest rate = 6.8%
T is the time which is 10 years + 6 months = 10 1/2 years
The interest accrued will thus be;
(5,500 * 6.8 * 10.5)/100 = $3,927
Adam's music playlist contains songs he bought and songs his mother bought. The ratio of his songs to his mother's songs is 5:3. How could you complete the table of equivalent ratios?
Answers
Answer:
The ratio of the songs is 5:3
Step-by-step explanation:
This means that for every 5 songs Adam has, his mother has 3. We can do that in intervals of 5:3, with 10:6, 15:9, 20:12, and etc.
Write "15" in Adam's column and "24" in his mother's column.
In the given question, the table of equivalent ratios is missing. Please find the attachment of that table below.
Given ratio is:
The ratio of Adam's songs to his mother's songs,
5:3then,
→ [tex]\frac{Adam's \ songs}{Mother's \ songs} =\frac{5}{3}[/tex]
→ [tex]Adam's \ songs = \frac{5}{3}\times 9[/tex]
→ [tex]= 15[/tex]
Now,
→ [tex]\frac{40}{Mother\s \ songs} =\frac{5}{3}[/tex]
→ [tex]40\times \frac{3}{5} = Mother's \ songs[/tex]
→ [tex]Mother's \ songs = 24[/tex]
Thus the above approach is right.
Learn more:
https://brainly.com/question/16522556
Help me with this it’s for geometry
Answers
Answer:
110⁰
Step-by-step explanation:
It's a rule that in parallel intersections such opposite angles are congruent.
During one hour at an amusement park, 20 guests bought only day passes, 60 guests
bought only tickets to individual rides, and 40 guests bought only food.
What percentage of these 120 guests bought only day passes during this hour?
A 80%
B 20%
C %
D %
Answers
Answer:
the percentage of these 120 guest purchase only day passes is 16.67%
Step-by-step explanation:
The computation of the percentage of these 120 guest purchase only day passes is shown below
= Number of guests purchased only day passes ÷ Given guest
= 20 ÷ 120 guest
= 16.67%
Hence, the percentage of these 120 guest purchase only day passes is 16.67%
We simply applied the above formula so that the correct value could come
And, the same is to be considere
pls help me. i suck at math and need help. pls help .
Answers
Answer:
a= (4,-2) b= (6,-1) c= (6,2)
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Answers
Answer:
i dont actually know
Step-by-step explanation:
Which graph shows y = 2x - 1/2?
Answers
the third graph
explanation :
typed in the equation on desmos and compared
The x-intercept and y-intercept of the line are at (0, -1/2) and (1/4, 0). Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y = 2x - 1/2
At x = 0, the value of the variable 'y' will be given as,
y = 2(0) - 1/2
y = - 1/2
At y = 0, the value of the variable 'x' will be given as,
0 = 2x - 1/2
2x = 1/2
x = 1/4
The x-intercept and y-intercept of the line are at (0, -1/2) and (1/4, 0). Then the correct option is C.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5
2/3 of 2 is____
Please answer as quick as possible
Answers
Answer:
4/3
Step-by-step explanation:
2/3 TIMES 2 IS 4/3
A microbiologist is growing bacteria cultures in the lab. After 5 minutes, a bacteria colony has 1.3 million organisms. After 12 minutes, the same colony has 41.5 million organisms. After 15 minutes, the colony has grown to 101.3 million organisms. Is this a proportional or non-proportional relationship?
Answers
Answer: Non proportional
Step-by-step explanation:
To know if the values given are proportional or not, we will use the formula:
y = kx
where
y = number of organisms
x = number of minutes
k = constant of proportionality
After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx
1,300,000 = 5k
k = 1,300,000 / 5
k = 260,000
After 12 minutes, the same colony has 41.5 million organisms. Using y= kx
41,500,000 = 12x
x = 41500000 / 12
x = 3458333.8
After 15 minutes, the colony has grown to 101.3 million organisms.
y = kx
101,300,000 = 15k
k = 101,300,000 / 15
k = 6753333.8
It is a non-proportional relationship as the constant of proportionality is different for each.
What is the weekly profit? Plz help.!
Answers
Answer:
901$
Step-by-step explanation:
Solve the equation: 6x - 4 + 2(5x + 2) = 16x*
1.) 0
2.) 1
3.) -2
4.) Infinitely Many
5.) No Solution
Answers
The problem would be 16x = 16x so there is no solution.
Duc and Hue baked cookies to help with their community's fundraiser. Duc baked 10 less than twice the number of cookies Hue baked. Together they baked 80 cookies.
Which system of equations models this situation if d represents the number of cookies Duc baked and h represents the number of cookies Hue baked?
d=2h+10
d=80−h
h=2d−10
d+h=80
d=2h−10
d+h=80
h=2d+10
h=80−d
Answers
Answer: I believe the answer is C
The system of linear equations that represents the given situation is (d + h = 80) and (d = 2h - 10) and this can be determined by using the given data.
Given :
Duc and Hue baked cookies to help with their community's fundraiser. Duc baked 10 less than twice the number of cookies Hue baked. Together they baked 80 cookies.The following steps can be used in order to determine the system of equations models given situation:
Step 1 - Let the total number of cookies Duc baked be 'd' and the total number of cookies Hue baked be 'h'.
Step 2 - The linear equation that represents the total number of cookies Hue and Duc baked is:
d + h = 80
d = 80 - h --- (1)
Step 3 - The linear equation that represents that Duc baked 10 less than twice the number of cookies Hue baked is:
d = 2h - 10 --- (2)
Step 4 - Substitute the value of 'd' in equation (2).
2h - 10 = 80 - h
Step 5 - Simplify the above expression.
3h = 90
h = 30 cookies
Step 6 - Substitute the value of 'h' in equation (1).
d = 80 - 30
d = 50 cookies
Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/11897796
Can anyone tell me what the answer is plz
Answers
Answer:
C
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
there is no mistake
PLEASE HELP!!!
Problem #1
A groundskeeper needs grass seed to cover a circular field, 580 feet in diameter.
A store sells 100-pound bags of grass seed. One pound of grass seed covers about 800 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain or show your reasoning.
Step1: Find the area of the circular field.
Step2: Find how many square feet covers a 100-pound bag(1pound covers 800 sq. ft)
Step 3: Find how many bags are needed to cover the entire area found on step1?
Step 4: Make sure to tell the number of bags that you need to cover the entire area of the field.
Answers
(Is this question not too complex)
Ask the questions one-by-one.
-34 is less than 2 times -16
Answers
Answer:
False
Step-by-step explanation:
-34 is greater than 2 times -16 because 2 x -16=-32. -34>-32
Select the correct answer.
2n
7
Which expression is equivalent to n + 4 + n - 1 if no denominator equals zero?
Answers
Answer:2n + 3
Step-by-step explanation:
The provided expression is equivalent to the first expression in the option, choice (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have expressions:
[tex]\rm = \dfrac{2n}{n+4}+\dfrac{7}{n-1}[/tex]
[tex]\rm =\dfrac{2n\left(n-1\right)}{\left(n+4\right)\left(n-1\right)}+\dfrac{7\left(n+4\right)}{\left(n+4\right)\left(n-1\right)}[/tex]
[tex]\rm =\dfrac{2n^2+5n+28}{\left(n+4\right)\left(n-1\right)}[/tex]
Thus, the provided expression is equivalent to the first expression in the option, choice (A) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
PLEASE HELP ME IT IS DUE TOMORROW!!!!!
Instructions
For this option, you will work individually.
The Pythagorean Theorem can be used in many real-world scenarios.
Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.
Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.
Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.
Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.
For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.
Answers
Answer:
Step-by-step explanation:
Part 1- Some sort of dimensions of a table top in a kitchen, and you need the "hypotenuse" of the table top.
Part 2- Draw a right triangular table top complete with drawers under it, and stuff. Of course label it.
Part 3- Solve your question
Seems like a pretty easy assignment, besides the the creativity needed for this...
How many total hours does a grocery clerk work if he gets 4hr 30 min in the morning and 4 hr 15 min in the afternoon 5 days per week? Would this employee qualify for overtime? If so, how many hours of overtime would this employee qualify for?
Answers
Answer:
Step-by-step explanation:
8 hours 45 minutes a day for 5 days a week.
43.75 hours or 43 hours 45 minutes for total hours.
Depends what the overtime is for your country. Take the difference from overtime and total work.
PLEASE HELP I NEED A ACE OR EXPERT TO HELP ME OUT
Answers
Answer:
I believe is A.
Step-by-step explanation:
you will have x^2 (which is the big square) + 1x (which is the lower line) + 3x (which are the 3 line verticals) + 3 (which are the 3 squares)
Answer: Choice A
Across the top we have x+3 since the square has side length x and the long rectangles have their short side equal to 1. Three of those rectangles combined like that make 1+1+1 = 3
Across the far left side, we have a vertical distance of x combined with just 1 this time (instead of 3) leading to x+1
Check out the diagram below.
Question 1 options:
f(x) = -2x-1
f(-2) =
Answers
Answer:
f(-2) = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -2x - 1
f(-2) is x = -2
Step 2: Evaluate
Substitute: f(-2) = -2(-2) - 1Multiply: f(-2) = 4 - 1Subtract: f(-2) = 3Answer:
-5
Step-by-step explanation:
f(×)=2x-1
f(-2)=2×(-2)-1 (here,x= -2)
=-4-1
= -5
1. Thomas has a deck of cards numbered 1-10. What is the probability that he draws an even number, does not replace it and then draws a 3?
Answers
Answer:
0.0556
Step-by-step explanation:
Probability of even number.
1/2
Probability of a 3 from 9 cards
1/9
Probability or both:
1/2*1/9
0.0556
I'm pretty sure this is right
solve for -4 x -10 ≤ 2
Answers
Answer:
I think the answer is x≥-3
What is the area of the circle shown below?
Answers
Answer:
201.06
Step-by-step explanation:
Answer:
804.2cm squared i know this alright
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $42 for skate rentals. How many pairs of skates did the Moores rent? The Moores rented 9 pairs of skates.
Answers
Answer: 8 skates
Step-by-step explanation:
Given that:
Skate rental = $3
Let number of skates rented by cotters = x
Hence, amount paid by cotters = 3x
The Moores paid $6 more
Moores amount = 3x + 6
Combined amount paid = 42
3x + 3x + 6 = 42
6x + 6 = 42
6x = 42 - 6
6x = 36
x = 36 / 6
x = 6
Hence, amount spent by the Moore's:
3x + 6
3(6) + 6 = 18 + 6 = $24
Cost per skate rental = $3
Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates
I need help with this one
Answers
the square root of 4/49
Answers
Answer:
[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Simplify the numerator and the denominator.
The square root of 4/49 is 2/7.
Given that a fraction 4/49 we need to find the square root of this fraction,
To find the square root of a fraction, you need to find the square root of both the numerator and the denominator separately. Let's apply this to the fraction 4/49.
Step 1: Find the square root of the numerator:
The numerator is 4. Taking the square root of 4 gives us √4 = 2.
Step 2: Find the square root of the denominator:
The denominator is 49. Taking the square root of 49 gives us √49 = 7.
Step 3: Form the new fraction:
The square root of the fraction 4/49 is (√4)/(√49), which is 2/7.
Therefore, the square root of 4/49 is 2/7.
Learn more about square root click;
https://brainly.com/question/29286039
#SPJ6