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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.

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A waitress sold 11 ribeye steak dinners and 18 grilled salmon dinners, totaling 592.29 on a particular day. Another day she sold
Rina8888 [55]

Let the cost of 1 ribeye steak dinner = x

The cost of 1 salmon dinner = y

Then,

11x + 18y = 592.29   (1)

16x + 6y = 580.56   (2)

Multiplying the second equation by 3, we get,

48x + 18y = 1741.68   (3)

(3) - (1) gives

37x = 1149.39

x = 31.06

Substituting the value for x in (1), we get,

11(31.06) + 18y = 592.29

341.66 + 18y = 592.29

18y = 250.63

y = 13.92

Hence, the cost of ribeye steak dinner = 31.06 and the cost of grilled salmon dinner = 13.92.

8 0
3 years ago
What is the product of 5−2i and 3−4i?<br> Enter your answer, in standard form, in the box
Lelechka [254]

Answer:

\boxed{7-26i}

Step-by-step explanation:

The binomials are multiplied in the usual way, using FOIL or the distributive property:

  (5 -2i)(3 -4i) = 15 -20i -6i +8i²

Since i² = -1, this becomes ...

  = 15 -20i -6i -8 = 7 -26i

7 0
3 years ago
Hello can someone Help? It math I would really appreciate! But please please DO NOT ANSWER IF ITS A LINK CALLED BIT.
Scilla [17]

Answer:

25.132741228718

A

Step-by-step explanation:

6 0
2 years ago
What is the y intercept of the line y = 2x+1?
Tresset [83]

Answer:

1

Step-by-step explanation:

the equation for a slope-intercept line is y=mx+b. In this equation, b represents the y intercept. In the equation you posted, 1 is in the place of b, so one is the y intercept.

hope this helps

6 0
3 years ago
Read 2 more answers
The length of two sides of a triangle are 10, 15 find the range of possible lengths for the third side
Zepler [3.9K]

Answer:

Range for third side is  

( 5 , 25 )  cm.

Step-by-step explanation:

As two sides of triangle are  10  and  15 ,

the third side would have to be less than the sum of other two sides i.e. less than  25  cm.

On the other hand if it is smaller one than this side plus side of length  10

should be greater than  15  and therefore

this side is greater than  15 − 10 = 5  cm.

Hence range is  

( 5 , 25 )

Hope this answer helps you :)

Have a great day

Mark brainliest

5 0
2 years ago
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