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lesya [120]
3 years ago
15

NO LINKS!!! Find the measurement indicated. Round your answer to the nearest tenth.​

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

<u>Solutions given;</u>

<u>Using cosine rule</u>

b²=a²+c²-2*a*c*cos B°

b²=15²+8²-2*15*8*cos39

b²=102.48

b=\sqrt{102.48}

b=10.12

b=10.1

<u>Using sine rule</u>

\frac{sin A}{BC} = \frac{sin B}{AC}  =\frac{sin C}{AB}

\frac{sin 29°}{15}  =\frac{sin C}{8}

<u>Doing criss cross multiplication</u>

Sin C=\frac{sin 29°}{15} ×8

m<C=Sin -¹(0.29)

m<C=14.98

<u>m<C=15°</u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>

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3 years ago
give the standard form, degree, leading coefficient and the constant term of the function h(x) = (2x+1)² (2x-3)​
Softa [21]

Answer:

The standard form is: h(x) = 8x^3 - 4x^2 - 10x - 3

The function is of the 3rd degree.

The leading coefficient is 8.

The constant term is -3.

Step-by-step explanation:

Placing in standard form:

To place in standard form, we solve the operations. So

h(x) = (2x+1)^2(2x-3)

h(x) = (4x^2 + 4x + 1)(2x - 3)

h(x) = 8x^3 - 12x^2 + 8x^2 - 12x + 2x - 3

h(x) = 8x^3 - 4x^2 - 10x - 3

Degree:

The degree is given by the highest power of x, which, in this exercise, is 3.

Leading coefficient:

The leading coefficient is the term that multiplies the highest power of x. In this exercise, the higher power of x is x^3, which is multiplied by 8. So the leading coefficient is 8.

Constant term:

The constant term is the one which does not multiply a power of x. So in this exercise, it is -3.

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2 years ago
The right rectangular prism shown below has square bases and rectangular faces. What shape is the cross section?
Katyanochek1 [597]

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3 years ago
Which of the following show the Associative Property?
Svetradugi [14.3K]
A. I think because it all equal the same


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3 years ago
A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 10781078 ​r
Shkiper50 [21]
<h2>Answer with explanation:</h2><h2></h2>

a. Given : Sample size : n= 1078

The number of adults said it was a good thing= 659

Then , the proportion of success : p=\dfrac{659}{1078}\approx0.611

b. The conditions to determine whether you can apply the CLT to find a confidence interval are :-

  • The data must be randomly sampled.
  • The sample size must be large (n>30).
  • The sample values should be independent of each other.

Since the given data satisfies all the above  conditions , so we can apply the CLT to find a confidence interval.

c. Given : Significance level : 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

The confidence interval for population proportion is given by :-

p\ \pm\ z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.611\pm (1.96)\sqrt{\dfrac{(0.611)(1-0.611)}{1078}}\approx0.611\pm0.029\\\\=(0.611-0.029,0.611+0.029)\\\\=(0.582, 0.64)

Hence, a​ 95% confidence interval for the proportion who believe immigration is a good thing is (0.582, 0.64).

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3 years ago
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