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Natasha2012 [34]
2 years ago
12

I’m really struggling! Please help me!!

Mathematics
1 answer:
Andrew [12]2 years ago
4 0

Answer:

8.0

Step-by-step explanation:

The triangle is a right triangle, so we are able to use trigonometric functions. Relative to the angle of 37°, we have the opposite side which is 6 and the adjacent side which is x. The trig function that uses the opposite and adjacent is tangent(SohCahToa). We can set up the following equation:

tan(37) = \frac{opposite}{adjacent}

tan(37) = \frac{6}{x}

tan(37) evaluates to about , so we can plug it in and solve for x:

0.7536 = \frac{6}{x} \\0.7536x = 6\\x = 7.962

To the nearest tenth, x rounds to 8.0.

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Pls do it for me thank you so much
Bond [772]

Answer:

(a) Attached to this response.

(b)

<em>(i)</em> <em>0 cups = 0.275</em>

<em>(ii) 4 cups = 0.125</em>

<em>(iii) 8 cups = 0.025</em>

<em />

<em />

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7  ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

<em>(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;</em>

the relative frequency of 0<em> = 0.275</em>

<em></em>

<em>(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;</em>

the relative frequency of 4<em> = 0.125</em>

<em>(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;</em>

the relative frequency of 8<em> = 0.025</em>

<em></em>

<em></em>

<em></em>

Download docx
5 0
3 years ago
HELP PLEASE HELP ME
Marina CMI [18]

Answer:

1. k≤ 26.11 hours

2. 5 ≤ x ≤ 6

Step-by-step explanation:

1.

38.76 + 2.69k ≤ 109

2.69k ≤ 70.24

k ≤ 26.11 hours

2.

19 ≤ 4 + 3x ≤ 22

15 ≤ 3x ≤ 18

5 ≤ x ≤ 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0
3 years ago
Solve x2 – 7x = –13.
aleksklad [387]

we have

x^{2} -7x=-13

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} -7x+3.5^{2}=-13+3.5^{2}

x^{2} -7x+12.25=-13+12.25

x^{2} -7x+12.25=-0.75

Rewrite as perfect squares

(x-3.5)^{2}=-0.75

remember that

i=\sqrt{-1}

Square root both sides

(x-3.5)=(+/-)\sqrt{-0.75}

(x-3.5)=(+/-)\sqrt{-1*0.75}

(x-3.5)=(+/-)\sqrt{0.75}i

x1=3.5+\sqrt{0.75}i

x2=3.5-\sqrt{0.75}i

Simplify

\sqrt{0.75}=\frac{\sqrt{3}}{2}

x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

therefore

<u>the answer is</u>

x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

6 0
3 years ago
Read 2 more answers
Can someone post an image of the "Cryptic Quiz 148" (OBJECTIVE 5-d: To solve an equation for y in terms of x.) "Why did the litt
Lerok [7]

Answer:

A lumber yard is the answer to that riddle.

Step-by-step explanation:

7 0
2 years ago
BRAINLIEST!!!!! HELPPP ME YALLLL
Elden [556K]

Answer:

No solution

Step-by-step explanation:

Hope this helped

3 0
2 years ago
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