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2 years ago

Use the trigonometric ratio sin A = 0.38 to determine which angle of the triangle is < A

Mathematics

1 answer:

-Dominant- [34]2 years ago

6 0

<span>According to trigonometric the formula for sin is sin = opposite/hypotenuse.Sin is defined as the ratio of sides of a right angled triangle.Hypotenuse is the is the longest side of a right-angled triangle,which is the side opposite of the right angle.So the the hypotenuse is clearly 1.3, so you divide 0.5/1.3 Hence the answer is around 0.38 The result is Angle2..</span>

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What is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8? 4.6 8.4 10 12What is the value of a in the equ

Mama L [17]

Answer:

1. 8.4 2. 15

Step-by-step explanation:

1. 4x+8y= 40

wen y= 0.8

4x+8×0.8=40

4x=40-8×0.8

4x= 40- 6.4= 33.6

....x= 33.6/4 = 8.4

2. 3a+b= 54

wen b= 9

3a+ 9= 54

3a= 54- 9

3a=45

.....a = 45/3 = 15

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2 years ago

Read 2 more answers

What is the base of log7 and the base of ln7?

Eduardwww [97]

Answer: (A) 10 and e

<u>Step-by-step explanation:</u>

log 7 has an "invisible" base of 10

ln is the natural log which means that ln is actually log base e. So, ln 7 has a base of e

8 0

2 years ago

Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.

barxatty [35]

Answer:

524.96 − 32.50 + x ≥ 500

Amount need to deposit = $7.54

Step-by-step explanation:

Given:

Amount in checking account = $524.96

Maintain amount = $500

Amount of check = $32.50

Find:

Amount need to deposit

Computation:

Assume, amount need to deposit = x

So,

For avoiding fee

524.96 − 32.50 + x ≥ 500

x = 7.54

Amount need to deposit = $7.54

4 0

2 years ago

11. The probability that a dessert sold at a certain cafe contains chocolate is 75%. The probability that a dessert containing c

raketka [301]

probability that a dessert sold at a certain cafe contains chocolate is 86%.

The probability that a dessert containing chocolate also contains nuts is 30%.

Find the probability that a dessert chosen at random contains nuts given that it contains chocolate

P(nuts given chocolate) = .30/.86 = .349 or 34

6 0

2 years ago

A population has a standard deviation of 80. A random sample of 400 items from this population is selected. The sample mean is d

Helga [31]

Answer:

$ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232$

Step-by-step explanation:

Previous concepts

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =80$ represent the population standard deviation

n=400 represent the sample size

Solution to the problem

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since the Confidence is 0.94 or 94%, the value of $\alpha=0.06$ and $\alpha/2 =0.03$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that $z_{\alpha/2}=1.8808$

The margin of error is given by:

$ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232$

4 0

2 years ago