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zepelin [54]
3 years ago
15

What is the longest stick that can be placed within a box whose inside dimension are 24 inches, 30 inches, and 18 inches?

Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0

Answer:

42.42 inches

Step-by-step explanation:

Given the dimension of the box are 24 inches, 30 inches, and 18 inches.

Considering the box is in rectangular in shape.

We also know that longest part of the box is the diagonal.

∴ lets calculate the diagonal to find longest stick that can be placed within a box.

Diagonal= \sqrt{a^{2}+b^{2}+c^{2} }

Where a,b,c are the dimensions of the box.

Diagonal= \sqrt{24^{2} +30^{2}+18^{2} }

⇒ Diagonal= \sqrt{576+900+324}

⇒ Diagonal= \sqrt{1800}

⇒ Diagonal= 42.42 inches

Hence, 42.42 inches longest stick that can be placed within a box.

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Is the exponent of a number without a written exponent 1 or 0?
Temka [501]

Answer:

1

Step-by-step explanation:

4 0
3 years ago
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Maddy bought 3 doughnuts. At 6 for $2, how much did 3 cost?
Nataly_w [17]

Answer:

$1

Step-by-step explanation:

6/$2 = 3/$1

6 0
4 years ago
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Just one or four please help ..
eduard
For num 4 the answer to six is 22 the reason is this formula so write this down for n aswell
n(n+1)/2+1 the example could be as we know for 1 cut we always will have 2 slices so 1(1+1)/2+1 is 2 and for 6 cuts 6(6+1)/2+1 is 22 therefore the answer to 6 cuts is 22 and to n cuts is the formula n(n+1)/2+1
7 0
4 years ago
What is the equation of a circle with its center at (0,-2) and passing through the point (3,-5)
Ksivusya [100]
Circle's Standard Form Equation:
r^{2} = (x - xo)^{2} + (y - yo)^{2}

First you need to substitute the C (0,-2) in the equation, where: Xo = 0 and Yo = -2;

r^{2} = (x - 0)^{2} + (y - ( -2))^{2} \\ r^{2} = x^{2} + (y + 2)^{2}

Now you substitute the Point (3,-5) values in the last expression, where: X = 3 and Y = -5;

r^{2} = 3^{2} + (( - 5) + 2)^{2} \\ r ^{2} = 9 + ( - 3)^{2} \\ r^{2} = 9 + 9 \\ {r}^{2} = 18

Now you get the R^2 value and substitute in the equation that you found putting the C values on it:

r^{2} = x^{2} + (y + 2)^{2} \\ x^{2} + (y + 2)^{2} = 18

Here is your standard form equation of the circle.
7 0
3 years ago
Help please!!!!!!!!!
dusya [7]

Answer:

6 glasses.

Step-by-step explanation:

Mark drank a total of 10 glasses of water and iced tea yesterday.

Each glass of water contained 8 ounces.

Each glass of iced tea contained 12 ounces.

All together he drank 96 ounces.

Given a system of simultaneous equations:

x + y = 10

8x + 12y = 96

This depicts that there are x glasses of water and y glasses of iced tea.

Solving the simultaneous equations:

x + y = 10 ... (i)

8x + 12y = 96 ... (ii)

Multiplying (i) by 8 and (ii) by 1 gives;

8x + 8y = 80 ... (i)

8x + 12y = 96 ... (ii)

Subtracting (i) from (ii) gives;

4y = 16 , y = 16/4 = 4

So mark drank 4 glasses of iced tea and 10 - 4 = 6 glasses of water.

5 0
4 years ago
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