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
Find the product of 21 and (6.3 · 10-4).
1.323 · 10 2
1.323 · 10 -3
0.1323 · 10 -1
1.323 · 10 -2
Answers
Answer: 1.323x10^-2
Step-by-step explanation:
21*(6.3x10^-4) = 1.323x10^-2
6) Jennilsa is making ice cream. The recipe requires ½ cup of milk and 1 ½ teaspoons of sugar. Jennilsa wants to make the recipe using 1 cup of milk. To maintain the ratio, how much sugar is required when 1 cup of milk is used?
Answers
Answer:
2 teaspoons of sugar
Step-by-step explanation:
So if jennilsa is using 1 cup of milk for the recipe she would need 2 teaspoons of sugar.
when graphed the first equation in a system of equations is shown here. The equations below are options for the second equation. which of these options would create a system of equations that has NO SOLUTION select all that apply
Answers
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.
What are the coordinates of the midpoint between the points (3,-1) and
(7,-5)
i
Answers
Answer:
(5,-3)
Step-by-step explanation:
Write the expression 83⋅83⋅83⋅83⋅83⋅83 as a power.Enter your answer by filling in the boxes.$$
Answers
Answer:
It's (8/3) 6 I took the test and that was the answer. Your Welcome!!!!!!!!!!!!!
Answer:
Its 83 the power of 6. Also Please choose my anwer as brainliest
Help meeeeeeeeeeee PLS ASAP
Answers
Answer:
A
Step-by-step explanation:
Answer:
angle 1 and angle 5
Step-by-step explanation:
Simplify the following surd expressions
a) 9V3 -4V3 + V5 + 2V5
b) 10V2 + 4V7 - 6V2
Answers
a.9v3-4v3+v5+2v5
=5v3+v3+2v5
=5v3+3v5
b.10v2+4v2+6v2
=4v2+4v7
Jace wants to ride his bicycle 27.1 miles this week. He has already ridden 16 miles. If he rides for 3 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.
Answers
Answer:
3.7 mi/day
Step-by-step explanation:
Subtracting 16 mi from 27.1 mi yields 11.1 mi to be covered in 3 additional days. The unit rate (number of miles per day) necessary for Jace to have ridden 27.1 miles total is 11.1 mi / 3 days = 3.7 mi/day
Riding 3.7 mi/day on each of the remaining 3 days would bring Jace's total miles up to 27.1 mi.
Please can I have help on this?
Answers
Answer:
9 :)
Step-by-step explanation:its 9
A savings account increases from 150$ to 153$. What is the percent increase of the savings account?
Answers
Answer:
The correct answer would be 2.00%
Lizzy makes $1800 per month working in a nail Spa. And Jackie makes 1500 per month plus 20%
a
percent commission per service per costumer. How many nail services Jackie has to complete per
month in order to make as much as Lizzy does?
Answers
Based on the amount Lizzy makes per month, to reach that amount, Jackie would have to complete 75 nail services.
The difference between Lizzy's base salary and Jackie's is:
= 1,800 - 1,500
= $300
Assuming a nail service costs $20, the amount she makes per service is:
= 20% x 20
= $4
The number of nail services she needs to do is therefore:
= Difference in wages / Amount per service
= 300 / 4
= 75 nail services
In conclusion, Jackie needs to do 75 nail services.
Find out more at https://brainly.com/question/17700034.
if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoin
Answers
Please help with this as well! Mind to give the explanation too? Just so I know
Answers
Answer:
i found out how to get 50
Step-by-step explanation:
14 + 18 x 2 = 50
what is 5+3
.dr4d3rf4rybduuuuuuuuuuuuuuuuuuuuuugnUYF$r
Answers
Answer:
8
Step-by-step explanation:
Find the coordinates of the point 1/3 of the way from A to B
Answers
A robot can complete 5 tasks in 34 hour.
Each task takes the same amount of time.
**Round to the hundredths place.
a. How long does it take the robot to
complete one task?
3/4 divided by 5 = 3/4, so it’s 3/4 hours per task
Answers
Answer:
6.8h
Step-by-step explanation:
5 tasks in 34h
So 1 task is taking 34/5 h
34/5 = 6.8h
1 task is taking 6.8h to complete
with complete solution please I need Thanks
Answers
Answer:
14
Step-by-step explanation:
We can make this and equation
x • y = 1260
x = 3y +48
Our equation is
(3y +48)y = 1260
We get y = 14
I am really lost in this statistics problem and I would truly appreciate it if someone can help me with it
Answers
Answer:
Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Any measurement or data collection effort is subject to a number of sources of variation.
Step-by-step explanation:
soo yeah
Put the following equation of a line into slope-intercept form, simplify all fractions 8x + 20y = -120
Answers
Hello there! :)
8x+20y=-120
We want to put this equation into slope-intercept form (y=mx+b)
First, let's move 8x to the right side:
20y=-120-8x
Now, we divide both sides by 20 to isolate y:
y=-8/20-6
Simplify the fraction:
y=-2/5-6
Hence, that's our equation. Hope it helps you! (:
If you have any queries, feel free to ask me! :)
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
How would you write the following expression as a sum or difference?
Answers
Answer:
B
Step-by-step explanation:
Look at the expression inside the log( ). Work from the outside in, so to speak. First, there's a quotient (the cube root divided by 3x).
[tex]\log \left( \frac{\sqrt[3]{2-x}}{3x} \right) = \log\left(\sqrt[3]{2-x}}\right) - \log{3x}[/tex]
The cube root can be written using a rational exponent.
[tex]\log\left(\sqrt[3]{2-x}}\right) - \log{3x} = \log \left( (2-x)^{1/3} \right) - \log{3x}[/tex]
Use the exponent property to move the exponent 1/3 out.
[tex]\log (2-x)^{1/3} - \log{3x} = \frac{1}{3} \log{(2-x)} - \log{3x}[/tex]
This now matches answer choice B.
Help me with this question please!! Show all work
Answers
3+(1/(7+1/15) = 333/106
333+ 106 = 439.
Find the slope. simplify if needed.
(-10,5) and (2, -3)
Answers
5 razor blades cost 35p find the cost of 15 razor blades
Answers
Answer:
The cost would be 105p
Step-by-step explanation:
If 5 razor blades equals 35 p 5x3=15 so 35x3=105
Answer:
the ansawer would be 105
Step-by-step explanation:
You could figure this out by either multiplying 35 by 3 since 35 is 5 blades, and 5 multiplied by 3 is 15, you can also multiply 35 by 3.
You can also use ratios to figure it out. You'd have to set it up like this; 5 to 35 then you'd have to divide both 5 and 35 by 5. You'd get 1 to 7. Then, finally multiply the ratio by 15, getting 15 to 105.
URGENT PLEASE DO!! will give brainliest to first person to answer
Answers
29293
Step-by-step explanation:
yes yes !!
Please help me. I’m so confused
Answers
Answer:
probably 2.............
PLEASSSSSSE HELP, WILL GIVE BRAINLIEST
How many chromosomes would a diploid offspring have when the haploid sex cells contain 46 chromosomes?
23
46
58
92
Answers
Answer:
I think its 46 since the 2 speices need the same amount of chromosomes to make an offspring
Step-by-step explanation:
Which of the following is a solution to the inequality below?
–4 +
10
m
< –68
10 points
Answers
Answer:
m < - 6.4
Step-by-step explanation:
- 4 + 10m < - 68 ( add 4 to both sides )
10m < - 64 ( divide both sides by 10 )
m < - 6.4
Answer:
m can be -9
Step-by-step explanation:
-4+10m < -68
10m < -64
m < -6.4
using this statement, m can be any value less than -6.4, such as -9.
if a temperature is 2 celcious and falls by 7 celcious what is your new temperature
Answers
Answer:
-5°C
Step-by-step explanation:
if you want to subtract a smaller number from a bigger number you can consider the number line attached below. I have marked 2 and -5 with blue ink.
When you use a number line, firstly see where your first number lies on the number line, in this case 2 is your first number. If you have to subtract a number, you have to move left and if you have to add a number you have to move right on the number line.
As you have to subtract 7 from 2, move 7 spaces to the left counting zero as a number. If you count 7 spaces to the left, it will end at -5.
So your answer is -5°C.
Hope this helps!!
Please answer this question
Answers
Answer:
12 12 18 1816 2888
Step-by-step explanation:
Just add on top and subtract on bottom