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Sergeeva-Olga [200]
3 years ago
15

What is the volume of this container?

Mathematics
2 answers:
Artist 52 [7]3 years ago
3 0
Cut it up

see attachment
V=LWH

small side rectangle=1 times 2 times 3=6ft^3
big rectangle=2 times 4 times 3=24ft^3
add

6+24=30
30ft^3

answer is 3rd one

nevsk [136]3 years ago
3 0

Answer:

The volume of container is 36 ft³

B is correct.

Step-by-step explanation:

We are given a diagram to find the volume. First we split the figure into two separate cuboid. Please see the attachment for two cuboid.

\text{Volume of cuboid}=l\times b\times h

Bigger Cuboid:

L=3, B=2 and H=4

Volume = 3 x 2 x 4 = 24 ft³

Smaller cuboid:

L=3, B=2 and H=2

Volume = 3 x 2 x 2 = 12 ft³

Total volume of of the box is sum of bigger box and smaller box.

Net Volume = 24+12 = 36 ft³

Hence, The volume of container is 36 ft³

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The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first 12 terms of the correspondi
Leokris [45]

Answer:

2,125,760

Step-by-step explanation:

The first term (a) is 8

The fourth term is 216

Hence the sum of the first 12 term can be calculated as follows

= 8-8(3)^12/1-3

= 8-24^12/-2

= 2,125,760

The sum of first 12 terms is 2,125,760

4 0
3 years ago
What is the slope of the line shown below?
Ksivusya [100]
M = (8-2)/(4-2) = 3
Therefore the slope is 3 (D).
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4 years ago
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How many terms are in the arithmetic sequence shown below?<br>15, 7, -1, -9...,-225
NemiM [27]
We know that

We can write an Arithmetic Sequence as a rule:

<span>an = a1 + d(n−1)</span>

where

<span>a1 = the first term
<span>d =the "common difference" between terms

in this problem
a1=15  a2=7  a3=-1  a4=-9  .....    an=-225
d=a2-a1  
d=7-15-----> d=-8

</span></span>an = a1 + d(n−1)
for
an=-225
d=-8
a1=15
find n
-225=15+(-8)*(n-1)--> (n-1)=[-225-15]/-8----> n-1=30---> n=30+1---> n=31

the answer is
31

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4 years ago
Please help!? Work out the size of angle x. 42 degrees and 123 degrees?
vlabodo [156]

Answer:

Sorry I don´t know the answer but I tried

Step-by-step explanation:

5 0
3 years ago
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A waterfall has a height of 900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet pe
aliya0001 [1]

Answer:

The pebble will hit the ground 8.29 second after it is thrown.

Step-by-step explanation:

Given that,

The height of the pebble after t seconds is given by the equation

h= -16t²+24 t+900.

When the pebble hit the ground, the height of the pebble will be zero.

So putting h=0 in the given equation.

0 = -16t²+24 t+900

⇒-4(4t²-6t-225)=0

⇒4t²-6t-225=0

Applying quadratic formula t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=4, b= -6 and c= -225.

\therefore t=\frac{-(-6)\pm\sqrt{(-6)^2-4.4.(-225)}}{2.4}

⇒ t = 8.29, -6.79

Since time can not negative.

∴t=8.29 seconds.

The pebble will hit the ground 8.29 second after it is thrown.

7 0
3 years ago
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