Answer:
11
Step-by-step explanation:
for this question we can look at the whole answer for the square root of 120 which equals 10.9544511501
now looking at our answer (10.9544511501) we want to find the nearest WHOLE NUMBER. in the current answer the whole number is 10, followed by many decimals.
10.9544511501
but to find the nearest whole number we have to round the place value BEFORE our whole number. (in this case the 9)
10.9544511501
we can now look at this highlighted section of our equation and think... is 10.9 closer to 11 or 10. well logically, to get to 11 from 10.9 we only have to go up by 0.1, rather than to get to 10, where you have to subtract 0.9.
10.9 + 0.1 = 11
10.9 - 0.9 = 10
But to make it easier, remember the rule:
the place value one place to the RIGHT of what you're rounding to, is what determines the new number. (in this case the .9)
and as any number 5 or above rounds up, we can say that our new number, rounded to the nearest whole number equals 11
10.9 rounded to the nearest whole number = 11
<h3>
Answer:</h3>
y=1/2x
<h3>
Solution:</h3>
- The slopes of perpendicular lines are opposite reciprocals of each other.
- The simplest way to determine a number's reciprocal is to flip it over, like so:
- Now, change the sign:
- So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
- Now, let's find the line's equation.
- First, let's write it in Point-Slope Form:
- y-y1=m(x-x1)
- y-(-2)=1/2(x-4)
- y+2=1/2x-2 (Point slope)
- Now, convert to slope-intercept:
- y=1/2x+2-2
- y=1/2x
Hope it helps.
Do comment if you have any query.
Answer:
The correct answer is C.
Step-by-step explanation:
The given equation is;
This implies that;
Let us write in Cartesian coordinates by substituting;
Square both sides;
This implies that;
This is an equation of a parabola that opens upwards with a y-intercept of 
.
The correct choice is C
Answer:
2 hours and 44 minutes.
Step-by-step explanation:
In 1 hour, Mary can clean 1/6 of the apartment, while her roommate cleans 1/5 of the apartment. To represent both of them working together, you add both fractions : 1/5 + 1/6 = 11/30. To find out how long it would take, you divide 1 by 11/30. 1/1 ÷ 11/30 = 1/1 × 30/11 = 30/11 hours. Make the fraction a mixed number : 30/11 = 2 8/11. 8/11 ≈ 0.727. Multiply 0.727 with 60 minutes : 0.727 × 60 = 43.62 minutes. Round 43.62 : 44 minutes. Result : 2 hours and 44 minutes.
Please refer the attached figure for better understanding of the solution
Here we are given that the angle of depression is 40°
And the height of the boat from the water is 25.17 ft
we need to find the length of the rope used which we can take as x
We can see that sin is the ratio that corresponds to the opposite side and the hypotenuse sides of the triangle formed
so we have
sin 40° = 
Hence the length of the rope needed is 39.16 ft
