1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Blababa [14]
3 years ago
7

A rectangular box is constructed in 3-space with one corner at the origin and other vertices at (1, 0, 0), (0, 4, 0), (0, 0, 2).

Find the length of the diagonal of the box.
Mathematics
1 answer:
77julia77 [94]3 years ago
7 0

The space diagonal will have length ...

... d = √(1² +4² +2²) = √(1 +16 +4) = √21

_____

This can be found using the Pythagorean theorem. A drawing can help. Find the length of any face diagonal, then use that length as the leg of a right triangle whose hypotenuse is the space diagonal and whose other leg is the edge length not used in the first calculation.

You might be interested in
Given |u| = 2.5, |v| = 3.2, and the angle between the vectors is 60°, find the value of u · v?
Alenkasestr [34]

Step-by-step explanation:

u.v=|u||v|cos60°

u.v=(2.5)(3.2)(1/2)

u.v=(8)(1/2)

u.v=4

4 0
3 years ago
Keith earns $42.00 in 3 hours. How much would he earn in 10 hours? A. $135.00 B. $140.00 C. $84.00 D. $112.00
xeze [42]
The answer is B. $140
7 0
2 years ago
Read 2 more answers
Dustin bought a flower pot that was marked down 60% from an original price of $2.50. If he paid 11% sales tax, what was the tota
grandymaker [24]

Answer:

He paid $1.11

Step-by-step explanation:

2.50 * 0.4 (he paid for 40% of the original price, since it was a 60% discount) = 1

1 * 0.11 (11% sales tax) = 0.11

1 + 0.11 = 1.11

7 0
3 years ago
Solve 2x^2 + x - 4 = 0 <br> X2 +
damaskus [11]

Answer:

\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }

Step-by-step explanation:

Hello, please find below my work.

2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0

\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0
3 years ago
Solve for x and y 4x-3y=14,6x +y=-10​
Anna [14]

Answer:

y= -8/11   x=-63/11

Step-by-step explanation:

Rewrite equation

Step: Solve6x+y=−10for y

Step: Substitute−6x−10 for y in 4x−3y=14

Step: Substitute  −8 /11  for x in y=−6x−10

y= −62 /11  --- (Simplify both sides of the equation)

___________________________________________

y= -8/11

x=-63/11

7 0
2 years ago
Other questions:
  • !!!!!!!!!!someone please help me in math!!!!!!!!!!
    12·1 answer
  • A radio station had 135 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees. How many tick
    5·2 answers
  • The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2?
    15·2 answers
  • The area of a rectangular bathroom mirror is 9 square feet. the mirror is 3 feet wide. how tall is it?
    7·1 answer
  • A sphere has a radius of 6 meters. A second sphere has a radius of 3 meters. What is the difference of the volumes of the sphere
    6·1 answer
  • a tennis ball is served from a height of 8 feet and just clears the net that is three feet high. The server is 40 feet from the
    10·1 answer
  • Anyone know how to do this? I need an answer fast show work please it’s 11:19 for me in California in 40 minutes I won’t need th
    5·2 answers
  • Plz help this is for a grade‼️ the ratio of males to females in the middle school is 6:8. If there are 126 make students,how man
    13·1 answer
  • A bottle of water is 2/3 full. You drink the given portion of
    5·2 answers
  • In young children, some brain cells have a ------- that
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!