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Marta_Voda [28]
3 years ago
11

What is the volume of the rectangle pyramid show below?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

Option (3)

Step-by-step explanation:

Volume of a rectangle = \frac{1}{3}(\text{Area of the rectangular base)(\text{Height})}

Area of the rectangular base = Length × Width

                                                = 7 × 8

                                                = 56 square in.

Height of the pyramid = 9 in.

Therefore, Volume of the given pyramid = \frac{1}{3}(56)(9)

                                                                    = 168 cubic in.

Option (3) will be the correct option.

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Consider the following series. 1 9 1 18 1 27 1 36 1 45 Determine whether the series is convergent or divergent. Justify your ans
Vedmedyk [2.9K]

Answer:

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

a_n=1

Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

a_n=9+9(n/2-1)=4.5n

if n is even.

If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

The limit of the function

a_n=1

is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.

But it goes worse because of the limit of the second piece

a_n=4.5n

when n goes to infinity is infinite.

The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

8 0
3 years ago
[(2 times 10) divided by 1/3] + 8 =
kondaur [170]

14.6666666667

Step-by-step explanation:

2•10=20/1/3=6.66666666667+8 is that but you can write it like 14.6 with _ that on top

3 0
3 years ago
3/4x - 6y = 18<br>what's the x intercepts and y intercepts?​
mash [69]

Answer:

X: (24,0)

Y(0,-3)

Step-by-step explanation:

X-intercept:

.75x-6y=18

plug in 0 for y

.75x-6(0)=18

divide by .75

x=24

(24,0)

Y-intercept:

plug in 0 for x

.75(0)-6y=18

divide by -6

y=-3

(0,-3)

7 0
3 years ago
A baker is making bread dough. He uses 3 cups of flour for every 8 ounces of water. How many cups of flour will he use if he use
Alekssandra [29.7K]

Answer:

36

Step-by-step explanation:

This is the fraction we use to solve this problem \frac{Ounces}{Flour}

Fractions are \frac{8}{3} and \frac{96}{x}

We now ask ourselves

8 * x = 96\\x = 12

Since whatever we do to the numerator we have to to the same to the denominator, we multiply 3 and 12

3 * 12 = x\\x = 36

Hope this helps!

PLZZZ give brainliest

4 0
3 years ago
Brayden has a triangular flag hanging in his room. What is the area of the flag? *
elena-s [515]

Answer:

if you want the base and the height you have to give me number or do you want the formula ?

3 0
3 years ago
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