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jonny [76]
3 years ago
10

A triangle has a side length of 5 inches and a perimeter of 15 inches. A similar triangle has a corresponding side length of 25

inches. Find the perimeter of the larger triangle. a. 150 inches b. 75 inches c. 375 inches d. 15 inches
Mathematics
1 answer:
Anit [1.1K]3 years ago
6 0
D 15 inches
Is the write answer
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Find value of trigonometric ratio round your answer to four decimal places <br> tan a
nirvana33 [79]

Answer:

tan A = .3429  

Step-by-step explanation:

Tangent = Opposite over Adjacent

The opposite of ∠A = 12 and the adjacent = 35

so tan A = 12/35 which equals .3428571492

The question asks us to round to four decimal places

Hence, the answer is .3429

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Graph The function f(x) = |2x −4|
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Step-by-step explanation:

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What amount would yield an interest of $66 in 2 years at 3% p.a.?
yuradex [85]
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2 years ago
36, ___, ___, 32/3 is a geometric sequence, with some terms missing. First, please solve for "r", the common ratio between each
Ksju [112]

Answer: r = 2/3

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 36

The 4th term is 32/3

n = 4

Therefore,

T4 = 32/3 = 36 × r^(4 - 1)

32/3 = 36 × r^3

Dividing both sides if the equation by 36, it becomes

32/3 × 1/36 = r^3

8/27 = r^3

Taking cube root of both sides of the equation, it becomes

(8/27)^1/3 = r^3 × 1/3

r = 2/3

3 0
3 years ago
A manufacturer of small appliances purchases plastic handles for coffeepots from an outside vendor. If a handle is cracked, it i
Rus_ich [418]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04  

And rounded up we got:

n\approx 97

Step-by-step explanation:

Data given and previous concepts

ME=0.1 represent the margin of error desired

Confidence =0.95 or 95%

\alpha=0.05 represent the significance level

z represent the quantile from the normal standard distribution

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have a prior estimate for the proportion \hat p we can use as estimator 0.5 and replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04  

And rounded up we have that n=97

5 0
3 years ago
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