Answer:
The angle is 1560°
Step-by-step explanation:
The length of an arc in radian is given by s=rФ
where s=length of an arc, r=radius and Ф = angle in radians
The question asked us to find the angle
Given to us is; r =6m and s=52π and Фis what we are to find
From the formula s= rФ
Ф= s/r = 52πm/6m
Ф=52π/6
Ф=26π/3 radians
But the question states that the angle should be in degree, so we will change the above angle to degree, to do that we will simply multiply the angle by 180°/π
Thus;
Ф=26π/ 3 × 180°/π
(The π at the numerator will cancel that of the denominator, and 180° will be divided by 3 to give 60°, we will be left with just 26 and 60 at the numerator)
Ф = 26× 60°
Ф=1560°
Therefore, the central angle (in degree) subtended by an arc with length 52πmeters and radius 6 meters is 1560°
Answer:You'll find that x = 671 miles
Step-by-step explanation:
Setting up and solving an equation of ratios is one of the fastest ways in which to solve this kind of probelm.
183 miles 3 hrs
-------------- = ------------
x 11 hrs
2/6 is the correct answer
Answer:
The cube of twice a number.
Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. Thus "twice a number x" can be written symbolically as 2x. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3.
Step-by-step explanation:
have a nice day, please give me brainliest
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
