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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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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno
spin [16.1K]
The other endpoint is (1, -17).

The midpoint formula is:

m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Using our midpoint and endpoint, we have:
(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}


For the first equation (to find the x-coordinate) we will multiply both sides by 2:
6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).
4 0
3 years ago
Melanie goes to a shelter to buy a dog. She has settled on two dogs, an Alsatian and a bulldog. To decide between them, she plan
Setler [38]

Answer:

Step-by-step explanation:

so i think if you land on heads it is more like  a 70% chance of getting heads but then again it could be a 30% chance that you land on tails so if you land on head you get the Alsatian and tails you get a bulldog i hope you  get the correct answer good luck

5 0
3 years ago
PLEASE HELP ASAAAAPPPPPPP
ddd [48]
Distribute ^4 to both 2 and q^5

2^4 = 2 x 2 x 2 x 2 = 16
(q^5)^4 = q^20

16(q^20) = 16q^20 

16q^20 is your answer

hope this helps
3 0
3 years ago
Decide whether the given expression is a polynomial and tell why or why not.
HACTEHA [7]

Answer:

3x² – 5x + 2 is a polynomial because:

Exponents are whole numbers, and the expression has at least 1 term.

Exponents other than whole numbers can take the form of variables in denominators, and roots which we don't want.

3 0
3 years ago
Which of the following are solutions to 2x2 – 8x - 90? Select all that apply.
Bond [772]

Answer:

x=-5, x=9

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^{2} -8x-90  

equate to zero

2x^{2} -8x-90=0  

so

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substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(2)(-90)}} {2(2)}

x=\frac{8\pm\sqrt{784}} {4}

x=\frac{8\pm28} {4}

x=\frac{8+28} {4}=9

x=\frac{8-28} {4}=-5

therefore

The solutions are x=-5, x=9

6 0
3 years ago
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