Answer:
distance = 994.75 miles
Step-by-step explanation:
given data
City A = 36°6′ = 36° + 
= 36.1° = 36.1° × 
= 0.6297 rad
City B = 21°42′ = 21° + 
= 21.7° = 21.7° × = 0.3785 rad
multiply by π/180 to convert the degree to radian
radius of Earth = 3960 miles
to find out
distance between City A and City B
solution
we first get here central angle between A and B city is
central angle between A and B city = 0.6297 rad - 0.3785 rad
and
now by arc length so we get distance
distance = 3960 miles × (0.6297 rad - 0.3785 rad )
distance = 994.75 miles
Answer:
3x>12 2x/3 ≤ 6
3x>12, x = 4 2x/3, x = 2 ≤ 6
Answer:
33%
Step-by-step explanation:
h steps:
Step 1: We make the assumption that 51 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=51$.
Step 4: In the same vein, $x\%=17$.
Step 5: This gives us a pair of simple equations:
$100\%=51(1)$.
$x\%=17(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{51}{17}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{17}{51}$
$\Rightarrow x=33.33\%$
Therefore, $17$ is $33.33\%$ of $51$.
The answer would be 3 cups of juice
For this item, we let x be the number of hours she works out and y be the total number of bananas that she will be eating after the workout. The expression that best described the given above is,
y = 5 + 2x
5 is given as the y-intercept because of the initial condition.
