How many inches is the box's side?
And please explain how you found the answer
Thank you :)
Answers
Answer:
[tex]x\approx 13.27 in[/tex]
Step-by-step explanation:
I'm assuming 24' is the diagonal of the box (red dashed line) and not of the bottom face (black dotted line).
Option 1: easiest if you know/remember the formula for the distance of two points in space (or for the diagonal of a parallelepiped): [tex]d= \sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex] where replacing (and squaring both sides to get rid of the square root) we get
[tex]24^2 = x^2 + 16^2+12^2 \rightarrow 576= x^2+256+144 \rightarrow x^2=176\\x\approx13.27 in[/tex]
Option 2: look at the triangle that has sides the forward left edge of the box, the dotted diagonal and the dashed diagonal. It's a right triangle of hypotenuse 24 and side length 12. Pythagorean theorem to find the missing side lenght
[tex]24^2 = l^2+12^2 \rightarrow l^2 = 432 \rightarrow l\approx 20.78 in[/tex]
At this point we're back at the right triangle of the bottom face of the box, of hypotenuse 20.78' and side lenght 16'. Phythagorean theorem again:
[tex](20.78)^2= 16^2 +x^2 \rightarrow 432 = 256+x^2\\x^2 = 176 x \approx 13.27[/tex]
Related Questions
Help is appreciated! Ty
Answers
64 ≤ 4y
16 ≥ y
Answer:
Step-by-step explanation:
4. Jenny sells two types of lanyards, solid color or
striped. She charges more for striped lanyards than
for solid color lanyards. The amount of money, in
dollars, that she collects from selling x lanyards of
one type and y lanyards of the other type can be
modeled by the expression 3x + 5y.
What does the variable y represent in this
situation?
A. The number of solid color lanyards sold.
B. The number of striped lanyards sold.
C. The selling price of one solid color lanyard.
OD. The selling price of one striped lanyard.
Answers
Answer:
The selling price of one striped lanyard
In 1855, Louis Remme traveled from Sacramento, California, to Portland, Oregon, stopping to rest for only 10
hours of the 143 hours it took him to reach Portland. If his average speed while traveling without resting was 5
miles per hour, how many miles did Louis Remme travel?
A 665
B 705
C 715
D 765
Answers
Answer:
A. 665 milesStep-by-step explanation:
Time in travel:
143 - 10 = 133 hrsAverage speed is 5 mph
Distance travelled:
d = std = 5*133 = 665 milesCorrect choice is A
Total time taken
143-10133hrsDistance
Speed×Time133(5)665miOption A
One person can mow a lawn in 30 minutes. A second person requires 45 minutes to mow that lawn. How long will it take the two people, working together, to mow the lawn?
Answers
Answer: 16 1/4 minutes
Step-by-step explanation:
Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.
We are told that A = 30 min/lawn. B = 45 min/lawn. These are conversion factors, so we can invert them to:
A = 1 lawn/30 min. B = 1 lawn/45 min
If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:
X*(A + B) = Lawn Mowed
We want to know the time, X, it would take to mow the same 1 lawn together. [Lawn Mowed = 1]. Use the equation:
X*(A + B) = Lawn Mowed
X*((1 lawn/30 min) + (1 lawn/45 min)) = 1
X/(30 min) + X/(45 min) = 1
X/30 + X/45= 1
X + X(30/35) = 30 {Multiply both sides by 30]
(1 + 30/35)X = 30
(65/35)X = 30
X = 30*(35/65)
X = 30/(7/13)
X = 30*(7/13)
X = 210/13
X = 16 1/4 minutes
This question is Algebra 1 - write linear functions from word problems
Answers
Y= 293 - 10x
Answer: y = -10x + 293
Step-by-step explanation:
Since you start with $293, this is your intercept.
Since you withdraw $10 per week, your m is -10. Per in a sentence means rate of change.
Please, help me with this question
Answers
Answer:
x=0
Step-by-step explanation:
2.5^2x = 1
2.5^2x=2.5⁰
2 x = 0
x=0
Find the perimeter. Simplify your answer.
Answers
Answer:
22w - 18
Step-by-step explanation:
To find the perimeter we have to add up all the sides
10w-10+w+1+10w-10+w+1
combine light terms
22w - 18 would be our answer
Brainliest please
Find the value of each variable.
I have been stuck on these for a week now. Please help.
Answers
Answer:
Step-by-step explanation:
the varible would be x
Will the given side lengths from a right triangle?yes or no 4.5,6and 7.5
Answers
Yes it is possible.
- BRAINLIEST answerer
Mrs. Coulter has 3 / 5 yard of ribbon to tie on balloons for the festival. Each balloon will need 3 / 10 yard of ribbon. How many balloons can Mrs. Coulter tie with ribbon
Answers
Answer:
I know they are not the same name but they have the same question they are the same answerStep-by-step explanation:
#hope it helps you #happy learningwhats the answer to this numeric algebraic expression
Answers
Answer:
a+b+2
Step-by-step explanation:
Please help I’ll give brainylist in return thank you
Answers
2.5 is the scale dilation.
Kinda Logic
Is 1/3 greater than, less than, or equal to 1?
Answers
Answer:
1/3 is less than 1
Step-by-step explanation:
3/3=1
1/3<1
please help! with work please Zeroes of polynomials. will give brainliest!
Answers
Answer: 4k^2 - 9k - 9 = 0
Step-by-step explanation:
lmk if i was right please and ty
Which of the following equations have infinitely many solutions?
Answers
Answer:
All of the equations seem to have infinitely many solutions.
Step-by-step explanation:
Since the same equations are equal to each other, whatever you replace x with, it will be equal to the other equation's solution since all answers have equations equal to each other.
Plzzz help mee plzzz help meee plzzz
Answers
Answer:
Answer is 2,000 option (B)
PLZ help I need to answer quickly!
Answers
Answer:
4.2
Step-by-step explanation:
All sides are proportional, so choose a pair and find the proportion
Ex: AB and JK = 7/5=1.4
so each side is multiplied by 1.4 to get the larger figure
So 3*1.4=4.2
I don't understand what I am supposed to do after I combine terms
Answers
I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...
Answer:
x = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]
Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions
4 - 24x + 21 = - 54x + 5 , that is
25 - 24x = - 54x + 5 ( add 54x to both sides )
25 + 30x = 5 ( subtract 25 from both sides )
30x = - 20 ( divide both sides by 30 )
x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]
HELP ME PLEASE I NEEED A GOOD GRADE DESPERATELY!!!!!
Question: A function has following characteristics:
• From -5 to -3, the function increases.
• From -3 to 0, the function neither increases nor decreases
From 2 to 5, but he function increases.
Which could be the graph(s) of this function?
Answers
Answer:
1.
Step-by-step explanation:
Answer:
The graphs that could be this function are the third one and the last one.
C and E
Hope this helps!
Step-by-step explanation:
Other than C and E, all of the other functions start out by decreasing starting from -5.
They both also have the straight part from -3 - 0 where the function neither increases nor decreases.
They also have the part where from 2 increases to 5.
Jacob wants to buy a new bike that costs $369. He currently has $150 saved for the bike, and he can add $3 each day to the bike fund. Write an equation and solve to determine how many days it will take Jacob to save enough money for the new bike.
Answers
Answer:
150 + 3x = 369 X= 73
Step-by-step explanation:
X is the amount of days
So 150 minus 369 would be 219
Then take 219/3 and that would mean X equals 73
The square of the sum of two numbers is 144 and the sum of their squares is 80. Find the numbers.(Use completing the square method)
Please help me
Answers
Answer:
Step-by-step explanation:
(x + y)^2 = 144
x^2 + y^2 = 80
----
x + y = 12 ---> y = 12 - x
x^2 + y^2 = 80
x^2 + (12-x)^2 = 80
2x^2 - 24x + 64 = 0
x^2 - 12x + 32 = 0
x = 4, x = 8
y = 8, y = 4
============================
x + y = -12 ---> y = -12 - x
x^2 + y^2 = 80
x^2 + (-12-x)^2 = 80
2x^2 + 24x + 64 = 0
x^2 + 12x + 32 = 0
x = -4, x = -8
y = -8, y = -4
-------------
One number is + or -4, the other is + or -8,
and the absolute value of the sum is 12.
Answer:
(4,8);(8,4);(-4,-8);(-8,-4)
Step-by-step explanation:
Ok, let's start writing down the two conditions:
[tex]\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.[/tex]
Mumble. The second almost look like a square, if only there was the [tex]2xy[/tex] term. Let's add (and subtract, so we aren't creating something new) term to the second:
[tex](x+y)^2-2xy = 80[/tex] But we know what the first term is, it's 144. Let's replace and do some number tricks to get:[tex]144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32[/tex]
At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.
Let's find one pair then. We're tasked to find two numbers that sum to [tex]\sqrt{144} = 12[/tex] and whose product is 32. that is, the root of the polynomial
[tex]z^2+12z+32= (z+4)(z+8)[/tex] (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.
[tex](4,8);(8,4);(-4,-8);(-8,-4)[/tex]
After school, Cindy had a science club meeting for 55 minutes, followed by a choir rehearsal that lasted for 1 hour and 35 minutes. If Cindy got out of school at 1:15 P.M., what time did the choir rehearsal end?
Please help
Answers
Answer:
3:10
Step-by-step explanation:
Disposal time=1:15PM
Choir ending time:-
[tex]\\ \sf\longmapsto 1:15-0:40=12:35PM[/tex]
A rectangular field will be fenced on all four sides. There will also be a line offenses across the field, parallel to the shorter side. If 900 M of fencing are available, what dimensions of the field will produce the maximum area? What is the maximum area?
Answers
Answer:
Pretty sure the dimensions are 125.6 meters by 251.2 meters 31,550.72 square meters.
PLEASE HELP ME (it's for my math HW Verifying Inverse Functions)
Answers
Ok done. Thank to me:>
Not sure on this. (Im really bad at math)
Answers
Answer:
13. C
14. B
Step-by-step explanation:
yeah-ya........... right?
The area of a rectangle is 60 square inches.
The length is x - 3, and the width is x +8.
Find the value of x, and the dimensions of the rectangle.
A = lw
Answers
Scientific Notation
Standard Form
Write this number in standard form:
4.415 x 10-8
Answers
translate figure:RIGHT 2 DOWN 1
note:only use four point when drawing the translation
Answers
Answer:
Your answer is in the image linked below.
Step-by-step explanation:
When the shape is moved right 2, down 1, you should have this translation, hope this helps.
If the area of the trapezoid shown is 200 square feet, what is the height h of the trapezoid?
Answers
Answer:
[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex] or 10.42 = h
Step-by-step explanation:
The area of a trapezoid is [tex]A = \frac{1}{2}h(b_{1} + b_{2} )[/tex].
[tex]200 = \frac{1}{2}h(10\sqrt{2} + 14\sqrt{3})[/tex]
[tex]400 = { h(10\sqrt{2} + 14\sqrt{3} )[/tex] Multiply both sides by 2
[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex]
[tex]\frac{400}{38.39} = h[/tex]
10.42 = h
Solve the equation.
−43p+6=12
Answers
Answer:
Step-by-step explanation:
Subtract 6 and 12
-43p=6-12
Then divide both sides by -43 to get the variable by itself
-43p=6
Answer
-6/43