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nirvana33 [79]
3 years ago
8

Find the value of each variable. Round your answers to the nearest tenth. (Soh Coh Toa)

Mathematics
2 answers:
kiruha [24]3 years ago
6 0

Answer:

k = 10 tan (40) = 8.39 (to 2 decimals)

J = 10 / cos(40) = 13.05 (to 2 decimals)

Step-by-step explanation:

It is SOH CAH TOA, or

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Using SOH CAH TOA,

tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)

cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)

Butoxors [25]3 years ago
3 0

Answer:

k = 8.4, j = 13.1

Step-by-step explanation:

Solve for k:

tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k

Solve for j:

8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j

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Independent Events are 2 events where the occurrence of the first doesn't affect the occurrence of the second and vice versa.
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6 0
3 years ago
The time required for a citizen to complete the 2010 U.S. Census "long" form is normally distributed with a mean of 40 minutes a
nordsb [41]

Answer:

Third quartile (Q₃) = 46.75 minutes.

Therefore, Option (c) is the correct answer.

Step-by-step explanation:

Given: Mean  (μ) = 40 minutes and S.D (σ) = 10 minutes

To find : Third quartile (Q₃) = ?

Sol: As the third quartile of normal distribution covers the 75% of the total area of the curve and first quartile covers the 25% of the total area of the curve. Then with the help of z score table, the value represented the third quartile of the normal distribution is:

Q₃ = μ + 0.675 σ

Now by substitution the value of mean and standard deviation,

Q₃ = 40 + 0.675 × (10)

Q₃ = 40 + 6.75

Q₃ = 46.75

Therefore, the third quartile (Q₃) = 46.75. So, option (c) is the correct answer.

4 0
3 years ago
2x+4(7−x) HELP PLEASE IM DEPERATEEEEE
goldenfox [79]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ - 2x + 28}}}}}

Step-by-step explanation:

\sf{2x + 4(7 - x)}

Distribute 4 through the parentheses

\dashrightarrow{ \sf{2x + 28 - 4x}}

Collect like terms

\dashrightarrow{ \sf{2x - 4x + 28}}

\dashrightarrow{ \sf{ - 2x + 28}}

Hope I helped!

Best regards! :D

4 0
3 years ago
Read 2 more answers
1<br> 4<br> Joey enlarged a 3-inch by 5-inch photograph on a copy machine. He enlarged it four times. The table below<br> shows
lozanna [386]

Answer:

3) 5.4

Step-by-step explanation:

Given two points (x1, f(x1)) and (x2, f(x2)), the average rate of change is computed as follows:

[f(x2) - f(x1)]/[x2 - x1]

From the original photograph to the fourth enlargement, the points are (0, 15) and (4, 36.6). Replacing into the equation we get:

[36.6 - 15]/[4 - 0] = 5.4

4 0
3 years ago
Solve the equation w+ 2 = for c.
Zielflug [23.3K]
Isn’t it supposed to be a minus sign? For it can be like w-2, w-2 ?
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3 years ago
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