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Schach [20]
3 years ago
15

A carpenter is constructing a straircase in a house. The distance from the first floor to the basement is 10.3 feet. The stairca

se will be 17.9 feet long. What angle do the stair make with the basement floor?
Mathematics
1 answer:
Anika [276]3 years ago
5 0

Answer:

35.1°

Step-by-step explanation:

sin θ = 10.3 / 17.9

θ = sin⁻¹(10.3 / 17.9)

θ = 35.1°

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During a sale, every item in a store is 80% of its regular price. The regular prices of five items are shown here find the sale
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$55 this is shown by doing 80/100=0.80. and 0.80*55=this is the answer

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Please help me find the value of x and show and explain work
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2x + 3 = 9      Move all terms not containing x to the right side of the equation.

2x = 6             Divide each term by 2 and simplify.

x=3
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3 years ago
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Match each question to the correct problem.
Maslowich
<h2>Answer:</h2>

<em>(Check attached images).</em>

<h2>Step-by-step explanation:</h2>

<h3>Exercise 1.</h3>

a. Convert to decimals.

To order the numbers from least to greaters, convert them to decimals and compare.

5.2(percent)=0.052\\ \\\frac{1}{7} =0.1429\\\\ -0.8=-0.8000\\ \\\frac{-11}{5} =-2.2

b. Select the second least number.

-0.8.

<h3>Exercise 2.</h3>

a. Convert to decimals.

-3.4(percent)=-0.034\\ \\-0.031\\\\ -0.2\\ \\-\sqrt{0.8}= -0.8944

b. Select the correct number.

-\frac{1}{5}.

<h3>Exercise 3.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

<em>59%=0.59</em>

<em>3/5=0.6</em>

<em />

b. Select the correct number.

3/5.

<h3>Exercise 4.</h3>

a. Convert to decimals.

-0.35

-3.5%= -0.035

b. Conclude.

Seeing that -3.5% is less than -0.35, the symbol that makes the statement true is ">".

<h3>Exercise 5.</h3>

a. Try to visually estimate b.

B appears to have a value of -0.9.

b. Convert the numbers to decimals.

-3.4%= -0.034

-0.031

-1/5= -0.2

-\sqrt{0.8}= -0.8944

c. Select the correct answer.

<em>Since we estimated the value of b as -0.9, the number that best adequates to its value is </em>-\sqrt{0.8}.

<h3>Exercise 6.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

5.2%= 0.052

1/7= 0.1429

b. Select the correct number.

5.2% is the second largest.

<h3>Exercise 7.</h3>

a. Convert to decimals.

6/7= 0.857143

0.857

b. Select the correct answer.

Seeing that 0.857 is marked as an approximate by the

ellipsis,  and considering that 6/7 is an irrational numbers, we can conclude that the number that better fits the situation and makes the statement true is "=".

<h3>Exercise 8.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the negative numbers.</em>

<em>-4.6</em>

<em />-\sqrt{21} =-4.5826

b. Select the correct answer.

The smallest number is -4.6.

7 0
1 year ago
<img src="https://tex.z-dn.net/?f=3%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%7B3x%7D%5E%7B2%7D%20%20-%202%29" id="TexFormula1" title="3(
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The answer should be 12x^2-6
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3 years ago
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14. Use the given degree of confidence and Sample data to construct a confidence interval for the population mean. Assume that t
nirvana33 [79]

Step-by-step explanation:

Confidence interval = mean ± margin of error

CI = μ ± ME

The mean is μ = 8.7.

Margin of error = critical value × standard error

ME = CV × SE

At 95% confidence and 9 degrees of freedom, CV = 2.262.

SE = s / √n

SE = 3.3 / √10

SE = 1.04

The margin of error is:

ME = 2.262 × 1.04

ME = 2.36

CI = 8.7 ± 2.36

CI = (6.34, 11.06)

7 0
3 years ago
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