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Blababa [14]
3 years ago
5

Find the diagonal of the rectangular solid

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0
There are four (4) diagonals: 3 face diagonals and one space diagonal. We assume you are interested in the space diagonal.

The face diagonal of the 3×4 face has length
  d₃₄ = √((3 ft)² +(4 ft)²) = √(25 ft²) = 5 ft

Taking the 5 ft edge and the 5 ft face diagonal as sides of the triangle with the space diagonal as its hypotenuse, we find the length of the space diagonal to be
  d = √((5 ft)² +(5 ft)²)
  d = 5√2 ft

The space diagonal of the rectangular solid is 5√2 ft ≈ 7.07 ft.
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It is 42 1/2 miles from Eaton to Baxter and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington if yo
mina [271]
All you need to do is add the miles from Eaton to Baxter and from Baxter to Wellington to get your answer...

42 + 37 = 79 

Now we need to add the fractions 

\frac{1}{2} +  \frac{4}{5} = ...


To add we need a common denominator. 
2 and 5 can both go into 10, so that will be a our common denominator. 
Now you have... 
\frac{5}{10} + \frac{8}{10} = \frac{14}{10}
which is equal to 1 \frac{2}{5}
add that to the 79 we got earlier ...

The toal and final answer is 80 \frac{2}{5} miles !
Hope I helped and remember to vote this as the brainliest answer ! :)
5 0
3 years ago
What is the missing constant term in the perfect square that starts with x^2+2x
DENIUS [597]

Answer:

  1

Step-by-step explanation:

The constant term in a perfect square trinomial with leading coefficient 1 is the square of half the coefficient of the linear term.

  (2/2)² = 1

The missing constant term is 1.

3 0
3 years ago
Read 2 more answers
5. In the morning, Kevin's cat eats 1/2 of a can of cat food. In the afternoon, the cat eats 1/4 of a can of food. In the evenin
ELEN [110]

Answer:

2 cans

Step-by-step explanation:

1/2 + 1/4 + 4/5 = 1.55

2 is the best answer since we know the cat eats more than 1 and a half cans so the closest thing would be 2 cans

5 0
2 years ago
How many five digit ZIP Codes are possible if the two numbers cannot be zero or a one? (Numbers can repeat)
olga nikolaevna [1]

Answer:

This means 100000 possible zip codes if repeatable

Step-by-step explanation:

5 0
3 years ago
∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ ,
blsea [12.9K]

Answer:

108 degrees

Step-by-step explanation:

Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:

Combine like terms: 14x - 16 = 180

Add 16 to both sides: 14x = 196

Divide both sides by 14: x = 14

Now that you know x, you can plug it into the expression for angle A (7x+10):

A = 7(14) + 10 = 98+10 = 108

5 0
2 years ago
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