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Elden [556K]
3 years ago
15

Susan enlarged to scale a rectangle with a height of 4 cm and length of 11 cm on her computer. The length of the new rectangle i

s 16.5 cm. Find the height of the new rectangle.
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0
The height is going to be 9.5
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The next three terms of the sequence 20, 40, 80, 160,… are 320, 640, and 1280.
hram777 [196]
Correct

Its a geometric sequence with common ratio 2.
5 0
3 years ago
Can someone please be generous and help me
Ugo [173]

Answer:

The point slope form is y-y_{1} =m(x-x_{1} )

The slope(m) can be calculated using \frac{y-y_{1} }{x-x_{1}}:

(x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3

Using Point One, the point-slope form is determined as:

y-(-3)=3(x-4)\\y+3=3(x-4)

The y-intercept(b) can be calculated as:

(5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)

7 0
3 years ago
A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence
belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

\mathbf{n = 5} --- the number of digits

\mathbf{r = 3} ---- the number of actions

Each of the three actions can either be:

  • <em>Pressing one button</em>
  • <em>Pressing a pair of buttons</em>

<em />

The number of ways of pressing a button is:

\mathbf{n_1 = ^5C_1}

Apply combination formula

\mathbf{n_1 = \frac{5!}{(5-1)!1!}}

\mathbf{n_1 = \frac{5!}{4!1!}}

\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}

\mathbf{n_1 = 5}

The number of ways of pressing a pair is:

\mathbf{n_2 = ^5C_2}

Apply combination formula

\mathbf{n_2 = \frac{5!}{(5-2)!2!}}

\mathbf{n_2 = \frac{5!}{3!2!}}

\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}

\mathbf{n_2 = 10}

So, the number of ways of performing one action is:

\mathbf{n =n_1 + n_2}

\mathbf{n =5 + 10}

\mathbf{n =15}

For the three actions, the number of ways is:

\mathbf{Action = n^3}

\mathbf{Action = 15^3}

\mathbf{Action = 3375}

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0
2 years ago
When Laura was a store manager at a movie store, she made $500 a week. Ten years later, as a clothing store manager, she made $8
Elis [28]

Answer:

(800-500)/500 x 100

300/500 x 100

0.6 x 100

The answer is a 60% increase

Step-by-step explanation:

Plz give me brainliest thank u so much

8 0
3 years ago
Read 2 more answers
NEED HELP ASAP, WILL GIVE BRAINLIEST
Svetlanka [38]
Domain: [-5, 5)
range:(-4,4]
hope this helps
5 0
2 years ago
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