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kifflom [539]
2 years ago
10

Find the number that belongs in the green box.Round your answer to the nearest tenth​

Mathematics
2 answers:
Umnica [9.8K]2 years ago
5 0

Answer:

134.5 degree

Step-by-step explanation:

first find the remaining side of a triangle

BY using cosine rule

C^2=A^2+B^2-2ABcosx

apply square root both sides

√c^2 =√[4^2+10^2-2(4)(10)cos29]

C=√(116-69.96958)

C=√46.03

C=6.8

Now find angle using cosine rule

C^2=A^2+B^2-2ABcosx

10^2=4^2+6.78^2-2(4)(6.78)cosx

100=16+45.9684-54.24cosx

100=61.9684-54.24cosx

100-61.9684=-54.24cosx

(38.0316)/-54.24=(-54.4cosx)/-54.24

-0.70117=cosx

X= cos inverse of -0.70117

x=134.5 degree

erastova [34]2 years ago
4 0

Answer:

as below

Step-by-step explanation:

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In a class of 30 students there are 17 girls. two students are picked randomly to represent the class in the SRC. determine the
Alla [95]

Answer:

See below in bold,.

Step-by-step explanation:

There are 30-17 = 13 boys in the class.

a.  Prob(First is a boy ) = 13/30 and Prob( second is a boy = 12/29).

As these 2 events are independent:

Prob( 2 boys being picked) = 13/30 * 12/29 =  26/145 or 0.179 to the nearest thousandth.

b. By a similar method to a:

Prob ( 2 girls being picked) =  17/30 * 16/29 = 136/435 = 0.313 to the nearest thousandth.

c.  Prob (First student is a boy and second is a girl) =  13/30 * 17/29 = 221/870.

Prob ( first student is a girl and second is a boy)  = 17/30 * 13/29 = 221/870

These 2 events are not independent so they are added:

Prob( one of the students is a boy)  = 2 (221/870 =  221/435 = 0.508 to the nearest thousandth.

4 0
2 years ago
Please answer quickly
olchik [2.2K]

Answer:

a and c I think if I'm wrong I will try again

4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%20%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D
erik [133]
2^3
——
3^3



............
8 0
2 years ago
Solve for 2:<br> 7x + 156°<br> 9x + 184°
Natalija [7]

Answer:

x = -14

Step-by-step explanation:

Simplifying

7x + 156 = 9x + 184

Reorder the terms:

156 + 7x = 9x + 184

Reorder the terms:

156 + 7x = 184 + 9x

Solving

156 + 7x = 184 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

156 + 7x + -9x = 184 + 9x + -9x

Combine like terms: 7x + -9x = -2x

156 + -2x = 184 + 9x + -9x

Combine like terms: 9x + -9x = 0

156 + -2x = 184 + 0

156 + -2x = 184

Add '-156' to each side of the equation.

156 + -156 + -2x = 184 + -156

Combine like terms: 156 + -156 = 0

0 + -2x = 184 + -156

-2x = 184 + -156

Combine like terms: 184 + -156 = 28

-2x = 28

Divide each side by '-2'.

x = -14

Simplifying

x = -14

3 0
3 years ago
6 pie = x + 2y how do i solve this equation ?
harkovskaia [24]
28.27431 = x + 2
-2 -2
-----------------------
x = 26.27431 Answered

the pie is 3.14159 x 9 =28.27431
8 0
3 years ago
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