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4 years ago

7

Find the volume of the prism.

2 answers:

dsp734 years ago

6 0

I hope this helps you

Mrrafil [7]4 years ago

5 0

C.
201.6 cm3, is fit.

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Solve using elimination -3x+3y=21 -x-5y=-17

Alenkasestr [34]

Answer:

(2,6)

Step-by-step explanation:

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3 years ago

Which ratio is proportional to 3/5 ?<br> A. 9/10<br> B. 12/20<br> C. 15/20<br> D. 5/7

Ludmilka [50]

Answer would be C. 15/20 because in 3/5 when you multiply both the numerator and denominator by 5, you get 15/20.

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4 years ago

1 , 3 , 6 , 10 , 15

Bas_tet [7]

First difference,

$\Delta_{1} = a_{2} - a_{1} = 3 - 1 = 2 = 1 + 1$

Second difference,

$\Delta_{2} = a_{3} - a_{2} = 6 - 3 = 3 = 2 + 1$

Third difference,

$\Delta_{3} = a_{4} - a_{3} = 10 - 6 = 4 = 3 + 1$

And so on.

Assuming the pattern holds on, we see that

i-th difference,

$\Delta_{i} = a_{i + 1} - a_{i} = i + 1$

$\implies a_{i + 1} = a_{i} + i + 1$

Then, nth term is,

$\implies a_{n} = a_{n - 1} + n$

$= a_{n - 2}+ (n + (n - 1))$

$= a_{n - 3} + (n + (n - 1) +(n - 2))$

$= a_{n - (n - 1)} + \sum \limits^{n - 2}_{k = 0}(n - k)$

$= a_1 + \sum \limits^{n - 2}_{k = 0}n- \sum \limits^{n - 2}_{k = 0}k$

$= a_1 +n(n -2 + 1 )- \frac{1}{2} (n - 2)(n - 1)$

$= a_1 +n(n -1 )- \frac{1}{2} (n - 2)(n - 1)$

$= a_1 +(n -1 )(n- \frac{1}{2} (n - 2))$

$= a_1 + \frac{1}{2} (n -1 )(2n- n + 2)$

$= a_1 + \frac{1}{2} (n -1 )(n + 2)$

$\implies a_{n} = 1 + \frac{1}{2} (n -1 )(n + 2)$

Now, the 21st term in the sequence is,

$\implies a_{21} = 1 + \frac{1}{2} (21 -1 )(21 + 2)$

$= 1 + \frac{1}{2} \times 20 \times 23$

$= 231$

4 0

3 years ago

Anna and josh are putting up lights for a party. For every 4 blue lights they put up 2 red lights. If they put up 120 lights. Ho

LUCKY_DIMON [66]

Answer:

80 blue

Step-by-step explanation:

r=red

b=blue

4b+2r=6 lights in one light cluster

120/6=20 clusters

20 clusters of 4 blue lights =80

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3 years ago

The average person loses 50 to 80 hairs per day to make way for new growth. Suppose you lose 65 hairs per day for 15 days withou

Nutka1998 [239]

Answer:

Is there more of the question?

Step-by-step explanation:

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3 years ago