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3 years ago

Is anyone able to help me?

Mathematics

1 answer:

bogdanovich [222]3 years ago

7 0

Answer:

The volume of this triangular prism is 20 $cm^{3}$

Step-by-step explanation:

Just like it is shown in the picture we can use the formula for the volume of a triangular prism.

$V = \frac{1}{2}bhl$

In our case b = 5cm, h = 2 cm, l = 4cm. Now we just plug in the values and get...

$V = \frac{1}{2}bhl\\\\$

$V = \frac{1}{2}(5)(2)(4)$

$V = 20cm^{3}$

Therefore the volume of the triangular prism is 20 $cm^{3}$ .

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Given the below sequence:

kvasek [131]

Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a) the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

$t_{n} = a+(n-1)d$

First term is a = -1 and difference is d = -2

finding fifth term is

$t_{5} = -1 +(5-1)(-2)$

$t_{5} = -1-8 =-9$

finding sixth term is

$t_{6} = -1 +(6-1)(-2)$

$t_{6} = -1-10 =-11$

finding seventh term is

$t_{7} = -1 + (7-1)(-2)$

$t_{7} = -1 -12 =-13$

The next three terms are -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

$t_{n} = a+(n-1)d$

a= -1 and d =-2

find 27 t h term :-

$t_{27} = -1 + (27-1)(-2) = -1-52=-53$

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