Ask question

Ask question

All categories

2 years ago

13

Jasmine unfolded a cardboard box. The figure of the unfolded box is shown below:

1 answer:

kodGreya [7K]2 years ago

5 0

Answer:

6×2×2

Step-by-step explanation:

You might be interested in

Find the measure of the arc

Natali [406]

Hmmm I think it’s...

4 0

2 years ago

Determine determine whether the following geometric series converges or diverges. if the series converges find its sum.

Lilit [14]

For starters,

$\dfrac{3^k}{4^{k+2}}=\dfrac{3^k}{4^24^k}=\dfrac1{16}\left(\dfrac34\right)^k$

Consider the $n$ th partial sum, denoted by $S_n$ :

$S_n=\dfrac1{16}\left(\dfrac34\right)+\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\cdots+\dfrac1{16}\left(\dfrac34\right)^n$

Multiply both sides by $\frac34$ :

$\dfrac34S_n=\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\dfrac1{16}\left(\dfrac34\right)^4+\cdots+\dfrac1{16}\left(\dfrac34\right)^{n+1}$

Subtract $S_n$ from this:

$\dfrac34S_n-S_n=\dfrac1{16}\left(\dfrac34\right)^{n+1}-\dfrac1{16}\left(\dfrac34\right)$

Solve for $S_n$ :

$-\dfrac14S_n=\dfrac3{64}\left(\left(\dfrac34\right)^n-1\right)$

$S_n=\dfrac3{16}\left(1-\left(\dfrac34\right)^n\right)$

Now as $n\to\infty$ , the exponential term will converge to 0, since $r^n\to0$ if $0$ . This leaves us with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=1}^n\frac{3^k}{4^{k+2}}=\sum_{k=1}^\infty\frac{3^k}{4^{k+2}}=\frac3{16}$

8 0

3 years ago

Read 2 more answers

Let f(x) = 5x – 8 and g(x) = x + 3. Find f(g(x)) and g(f(x)).

wlad13 [49]

Answer and work down below. Let me know if you have any questions

3 0

3 years ago

If G = 70° and J = 40°, then GH ___ HJ. Choose the correct symbol to put in the blank.

Novosadov [1.4K]

Answer:

GH > HJ

The correct symbol is " >" (greater)

Step-by-step explanation:

we know that

In the triangle GHJ applying the law of sines

$\frac{GH}{sin(J)}=\frac{HJ}{sin(G)}$

substitute the given values

$\frac{GH}{sin(40\°)}=\frac{HJ}{sin(70\°)}$

Isolate GH

$GH=\frac{HJ}{sin(70\°)}(sin(40\°))$

$GH=1.46(HJ)$

therefore

GH > HJ

The correct symbol is " >" (greater)

7 0

3 years ago

Read 2 more answers

Determine the area of the blue triangle below. Round your answer to<br> the nearest tenth.

Sholpan [36]

Answer:

68.9 in^2

Step-by-step explanation:

first lets find the height of the blue triangle

hypotenuse = 15 in

one side is 12 in whereas other has to be find.

take 50 degree as reference angle

using sin rule

sin 50 = opposite/hypotenuse

0.76 = opposite/15

0.766*15 = opposite

11.49 = opposite

area of triangle = base*height/2

=12*11.49/2

=136.88/2

=68.94

=68.9 in^2

5 0

2 years ago

Read 2 more answers