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Studentka2010 [4]
2 years ago
15

Jamie just bought two boxes.The first box is square with each side measuring 10 units and is 4 units high.The second box is rect

angular and has twice the volume of the square box.If the height of the second box is 5 units and width is 10 units what is the length of the second box
Mathematics
1 answer:
MakcuM [25]2 years ago
7 0
Step 1
find the volume of the square box
volume=area of the base*height
area of the base=10²-----> 100 units²
height=4 units
volume square box=100*4----> 400 units³

step 2
volume rectangular box=2*volume square box
volume rectangular box=2*400------> 800 units³

volume rectangular box=L*W*H
H=5 units
W=10 units
Volume=800 units³
800=L*10*5------> solve for L
L=800/(10*5)------> L=16 units

the answer is
the length of the rectangular box is 16 units

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In ΔKLM, m = 59 cm, ∠L=111° and ∠M=60°. Find the length of l, to the nearest centimeter.
g100num [7]

Answer:

64 (or 63.6)

Step-by-step explanation:

You can figure out the <K by adding the first two angles (111+60) and getting 171 (subtracting that from 180 gives you a 9-degree angle for <K

Given three angles and 1 side, you can calculate the sides as follows:

k=m*sin (K) / sin (M) = 10.65

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Since you're solving for l, the steps would be:

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l=59 * (0.934) / (0.866)

l=55.106 / 0.866

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Hope this helps!

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1 year ago
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2 years ago
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Answer:

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so \mu = 49.9, \sigma = 3.74.

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We do this with every single point on f(x) to get g(x) = f(x)+4. This shifts the graph up 4 units.

8 0
1 year ago
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