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tia_tia [17]
3 years ago
15

17. A warehouse has 5 shelves long enough to hold 8 boxes and high enough to hold 4 boxes. All the shelves are full. How many bo

xes are there?
Mathematics
1 answer:
Sav [38]3 years ago
3 0

Answer:

<h3>Total 20 boxes are there. </h3>

Step-by-step explanation:

Total number of shelves in a warehouse = 5 shelves.

Each shelve either can hold maximum 8  boxes with their lengths or can hold 4 boxes with their heights.

So, in that case only 4 boxes could be hold in each of 5 shelves because only 4 boxes could be fit with their heights.

Therefore, total number of boxes = 5 × 4 = 20 boxes .

<h3>Therefore, total 20 boxes are there. </h3>
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The total surface area of a cone whose radius is 2 r and slant height 2l is
vampirchik [111]

Answer:

A=4\pi r(l+r)

Step-by-step explanation:

The total surface area of a cone is given by :

A=\pi rl+\pi r^2\\\\=\pi r(l+r)

Put r = 2r and l = 2l in the above formula

A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)

Hence, the total surface area of the cone is 4\pi r(l+r).

7 0
2 years ago
Pi/6 is the reference angle for:<br><br> 3pi/6<br><br> 5pi/6<br><br> 13pi/6<br><br> 8pi/6
Elanso [62]

Answer:

\frac{5\pi}{6}, \frac{13\pi}{6}

Step by step

Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.

a)

\frac{3\pi}{6}=90^\circ, then its reference angle is \frac{\pi}{2}

b)

\frac{5\pi}{6}=150^ \circ is in the second cuadrant, then its reference angle is 180^ \circ -150^{\circ}=30^{\circ}=\frac{\pi}{6}

c)

\frac{13\pi}{6}=390^\circ=360^\circ+30^\circ, then it is in the first cuadrant and the reference angle is 30^\circ =\frac{\pi}{6}.

d)

\frac{8\pi}{6}=240^\circ and it is in the third cuadrant, then its reference angle is 240^\circ -180^\circ=60^\circ=\frac{\pi}{3}

5 0
3 years ago
There are 32 sixth graders and 44 seventh graders in the video gaming club. Which ratio is the greatest?
katrin [286]
I’m gonna say D hope this helps
3 0
3 years ago
A time/motion word problem
andriy [413]
The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.

Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.

After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.

Do you remember this for a right triangle ? ==>    A² + B² = C²

(500H)² + (1200H)² = (650)²

250,000H² + 1,440,000H² = 422,500

1,690,000 H² = 422,500

H² = (422,500) / (1,690,000) = 0.25

H = √0.25 = 1/2 hour = 30 minutes
3 0
3 years ago
Read 2 more answers
It cost $4 to enter a fair. Each ride costs $2.50. You have 21.50. How many rides can you go on
jekas [21]

Answer:

7 rides

Step-by-step explanation:

So you start off with $21.50. Subtract $4 from 21.50 and you'll end up with $17.50. Now divide $17.50 with the price of each ride which is $2.50 and you end up with 7. You are able to go on 7 rides.

4 0
3 years ago
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