Answer:
x> 3/20
Step-by-step explanation:
Let's solve your inequality step-by-step.
1
/5 + 1
/3 x> 1
/2 − 1
/4
Step 1: Simplify both sides of the inequality.
1
/3
x+ 1
/5 > 1
/4
Step 2: Subtract 1/5 from both sides.
1
/3
x+ 1/
5 − 1
/5 > 1
/4 − 1
/5 1
/3 x> 1
/20
Step 3: Multiply both sides by 3.
3*(
1
/3
x)>3*(
1
/20
)
x>
3
/20
Answer:
x> 3/
20
Hope this helps!!
Answer: 1.5
Step by step explain:
Answer:
<h3>Add to eliminate y.</h3>
Step-by-step explanation:
Given the equations
-9x + y = 71.... 1
-x - y = -1 .... 2
Using elimination method we can eliminate y first since they have the same coefficient.
To do that we will need to add up both equations. We are adding because the coefficient of y in both equations has different signs. If they have the same sign, we would have subtracted.
<em>Hence the correct option in this case is to add to eliminate y.</em>
To solve this problem, we can use the tan function to find
for the distances covered.
tan θ = o / a
Where,
θ = angle = 90° - angle of depression
o = side opposite to the angle = distance of boat from
lighthouse
a = side adjacent to the angle = height of lighthouse = 200
ft
When the angle of depression is 16°18', the initial distance
from the lighthouse is:
o = 200 tan (90° - 16°18')
o = 683.95 ft
When the angle of depression is 48°51', the final distance
from the lighthouse is:
o = 200 tan (90° - 48°51')
o = 174.78 ft
Therefore the total distance the boat travelled is:
d = 683.95 ft - 174.78 ft
<span>d = 509.17
ft</span>
Answer:
125x^3
Step-by-step explanation:
So you can write it like (5x)^3
Then, when there are parenthesis,you multiply the exponent for each number inside by the exponent on the outside. So, that would make it: 5^3x^3. Since 5^3 is 125, you can write it like, 125x^3.
Hope this was helpful!