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cluponka [151]
3 years ago
9

If these two shapes are similar, what is the measure of the missing length b?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

b = 54 cm

Step-by-step explanation:

We can use proportions if the shapes are similar

Take the same side lengths over each other.

81   cm            b cm

----------- = --------------

24  cm           16 cm


Using cross products

81 *16 = 24*b

Divide each side by 24

81*16/24 = 24b/24

54 =b

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When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a
Korvikt [17]

Answer:

\mu -2\sigma = 24-2*3= 18

\mu -2\sigma = 24+2*3= 30

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

Step-by-step explanation:

For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

X \sim N(\mu = 24, \sigma =3)

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:

\mu -2\sigma = 24-2*3= 18

\mu -2\sigma = 24+2*3= 30

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

7 0
3 years ago
Need help! :(((((((((((((((((((((((((
Vlada [557]

Answer:

\frac{1}{8}

Step-by-step explanation:

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4 0
2 years ago
How do I solve questions 1,2 and 6?
Talja [164]

Answer:

<h2>1. P = 13.254</h2><h2>2. P = 6.64 + 2x</h2><h2>6. P = 10</h2>

Step-by-step explanation:

1.\\\text{The length of semicircle:}\\\\l=\dfrac{1}{2}d\pi\\\\d-diameter\\\\d=2.2\\\\\text{substitute:}\\\\l=\dfrac{1}{2}(2.2)\pi=1.1\pi\approx(1.1)(3.14)=3.454\\\\\text{The perimeter of the figure:}\\\\P=2(3.8)+2.2+3.454=13.254

2.\\P=2(3.32)+2x=6.64+2x

6.\\\text{Look at the picture.}\\\\P=4(2)+2(1)=8+2=10

7 0
3 years ago
Simplify by dividing <br> 3/5 ÷ -4/9<br><br> 1. -27/20<br> 2. 27/20<br> 3. -12/45<br> 4. 12/45
kramer

Answer:

The answer to your question is -27/20

Step-by-step explanation:

Divide         3/5  ÷  - 4/9

Process

1.- Just multiply the numerator of the first fraction by the denominator of the second fraction.                                      

                    3 x - 9 = -27

2.- Multiply the denominator of the first fraction by the numerator of the second fraction.

                    5 x 4 = 20

3.- Join both results

                               -27/20

5 0
2 years ago
pin Co. has $52,000 in its Cash account, $20,000 in its Inventory account, and $12,000 in its Notes Payable (short-term) account
KatRina [158]

Answer:

60000

Step-by-step explanation:

Assets - liabilities = share holder equity

(52,000+20,000)−12,000=60000

5 0
3 years ago
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