Answer:
42.1
Explanation step-by-step:
Working out the lenght of the blue-dashed line:
SOH
47 is the Hypotenuse.
the blue line is the adjacent.
adjacent= Cos(30) x47
adjacent= 40.7
Working out x :
40.7 is the opposite this time.
x is the adjacent.
x = 40.7/ Tan(44)
x = 42.1
6:20=9:30=3:10=18:60=16:160/3=12:40
Step-by-step explanation:
The question requires you to find value of x in the ratios given;
Start with the first pair
6:20 = 9:x
6/20 =9/x
6x=20*9
6x=180
x=180/6=30 ⇒⇒ 6:20 = 9:30
The second pair after replacing the value of x=30 will be
9:30 = x:10
9/30=x/10
90=30x
90/30 =x
3=x⇒⇒ 9:30 = 3:10
The third pair after replacing value of x=3 will be
3:10 =x:60
3/10 =x/60
180=10x
180/10 =x
18=x ⇒⇒ 3:10 = 18:60
The fourth pair after replacing value of x=18 will be;
18:60 = 16:x
18/60 = 16/x
18x=16*60
x= (16*60)/18 =160/3
x= 160/3 ⇒⇒⇒ 18:60 = 16: 160/3
The firth pair after replacing value of x=160/3 will be;
16: 160/3 =12:x
16x= 160/3 *12
16x = 160 * 4
x= (160 *4 )/16
x=40
⇒⇒ 16: 160/3 = 12: 40
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Ratios and proportions :brainly.com/question/9512748
Keywords : ratio, value of x, proportion
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The answer to this question is n = 3
Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Explanation:
Given expression:
<em>Step-1: </em>Add the exponents and keep the same base by using 
property.
Step-2: The reciprocal of 
is 
, which is 
Step-3: The exponent of is +1; therefore, change the sign of exponent. The end expression will now become:
Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Answer:
B. Events H and C are dependent and P(H|C) < P(C|H)
Step-by-step explanation:
The ratios of groups with children to hiking groups on the trail are different for the two trails.
P(H|C) = 15/45 = 1/3
P(C|H) = 15/40 = 3/8
1/3 < 3/8 so the comparison of choice B is appropriate.
