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3 years ago

11

a rectangular prism and its dimensions are shown in the drawing .What us the total surface area of the rectangular prism in Squa

re inches

1 answer:

Xelga [282]3 years ago

4 0

Answer:

Superficie de un prisma rectangular fórmula

Área de un prisma rectangular = 2la + 2ah + 2lh.

Step-by-step explanation:

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The explicit formula for the geometric sequence Negative one-ninth, one-third, negative 1, 3, negative 9, ellipsis is f (x) = ne

storchak [24]

Answer:

Common ratio, r=-3

Recursive Formula

$f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},$

Step-by-step explanation:

The formula for the geometric sequence: $-\dfrac{1}{9} ,\dfrac{1}{3}, -1,3,-9,\cdots$ is given as:

$f(x)=-\dfrac{1}{9}(-3)^{x-1}$

<u>Common Ratio</u>

Dividing the next terms by the previous terms, we obtain:

$\dfrac{1}{3} \div -\dfrac{1}{9} = \dfrac{1}{3} \times -9 =-3\\3 \div -1 =-3\\-9 \div 3 =-3$

Therefore, the common ratio of the sequence, r=-3

<u>Recursive Formula</u>

We observe that the next term, $f(n)$ is obtained by the multiplication of the previous term. f(n-1) by -3.

Therefore, a recursive formula for the sequence is:

$f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},$

3 0

4 years ago

What number is equivalent to: 4 x 1,000,000,000 + 5 x 1,000,000 + 9 x 10,000 + 8 x 100 + 7 x 1?

valina [46]

Answer:

4,005,090,807

Step-by-step explanation:

4 x 1,000,000,000 + 5 x 1,000,000 + 9 x 10,000 + 8 x 100 + 7 x 1

4 * 1,000,000,000 = 4,000,000,000

5 * 1,000,000 = 5,000,000

9 * 10,000 = 90,000

8 * 100 = 800

7 * 1 = 7

Add it all together and you get 4,005,090,807

I hope this helped. Sorry if you get this wrong.

5 0

3 years ago

8,3,9,4,10,5 what are the following numbers and explain the pattern

IRISSAK [1]

Answer subtract 5, add 6

Step-by-step explanation:

8-5=3

3+6=9

9-5=4

and so on

8 0

4 years ago

lukranit [14]

Answer:

19-44.

Step-by-step explanation:

I simply looked up the answer with a calculator.

8 0

3 years ago

Read 2 more answers

Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

<u>the answer is</u>

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers