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kakasveta [241]
3 years ago
5

English

Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

Answer:

6 square feet

Step-by-step explanation:

Carpet has w= 8 ft and l = 12 ft

Reduced carpet has w' = 2 ft

<u>Reduction factor is </u>

  • 8/2 = 4

<u>Then </u>

  • l' = l/4 = 12/4 = 3 ft

<u>Area of small carpet</u>

  • S = 2*3 = 6 ft²
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Im to lazy please help.. ;-;
Mumz [18]

Step-by-step explanation:

18h=252

9h=?(x)

9×252=18x

2268=18x

2268/18=x

x=126

5 0
3 years ago
Suppose that you hold a two-asset portfolio consisting of 100 shares of clooney brothers at $33 per share and 100 shares of marx
Rina8888 [55]
<h3>Straightforward Solution</h3>

The long way around is to compute the return from each investment and relate the sum of those returns to the toal investment.

You have invested $33×100 = $3300 in clooney. You expect a return of 20%×$3300 = $660 on that investment.

You have invested $42×100 = $4200 in marx. You expect a return of 12%×$4200 = $504 on that investment.

Your total expected return is $660 + 504 = $1164. Your total investment is $3300 + 4200 = $7500. Thus, the return on your investment is expected to be

... $1164/$7500 = 0.1552 ≈ 15.5% . . . . matches choice a.

<h3>Alternative Solution</h3>

Since the same number of shares is involved in both investments, you can weight the expected return percentages by the ratio of share price to total of share prices:

expected return = (33/75)×20% + (42/75)×12%

... = 8.80% + 6.72% = 15.52%

6 0
3 years ago
Centered 7 meters above the ground, a Ferris wheel of radius 6 meters is rotating with angular speed 24 degrees per second.
borishaifa [10]
24 degrees per second is 360 degrees in 15 seconds (pretty fast for a Ferris wheel!).

a) The distance above the ground can be modeled using a cosine function.
.. h(t) = 7 -6cos(2πt/15)


b) h(t) = 10
.. 10 = 7 -6cos(2πt/15)
.. (10 -7)/-6 = cos(2πt/15)
.. 2πt/15 = π ±π/3 +2kπ
. t = 7.5*((1 ±1/3) +2k) . . . . . . . . seconds; k = any integer

You are 10 meters above the ground at t=5 seconds and every 15 seconds thereafter, as well as at t=10 seconds and every 15 seconds thereafter.

4 0
4 years ago
The sum of two numbers is 66. Their difference is 6. What is one of the numbers
Sergio039 [100]

Step-by-step explanation:

x+x=66

2x=66

x=33

1st number is 33 and 2nd is 27

3 0
3 years ago
Help appreciated please and thank you​
meriva

Answer:

D. \frac{4 \sqrt{33} }{33}

Step-by-step explanation:

\tan \alpha  =  \frac{4}{ \sqrt{33} }  \\  = \frac{4}{ \sqrt{33} }  \times  \frac{ \sqrt{33} }{ \sqrt{33} }  \\  \\  =  \frac{4 \sqrt{33} }{ {( \sqrt{33)} }^{2} }  \\  \\  \tan \alpha   =   \frac{4 \sqrt{33} }{33}

8 0
3 years ago
Read 2 more answers
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