When you are finding 2 consecutive numbers that a square root falls between, you have to think about what the closest whole numbers are, for example, if you have the sq root of 17, it would fall between 4² (16) and 5² (25).
So, in this case, √105 would fall between 10² (100) and 11² (121)
Answer: √58 cm or 7.62 cm
Step-by-step explanation:
The Pythagorean Theorem is a²+b²=c². Since we are given the lengths of a and b, we can plug them into this formula to find the length of the hypotenuse.
7²+3²=c²
49+9=c²
58=c²
c=√58 or 7.62 cm
Answer:
The answer is
<h2>36π cubic inches</h2>
Step-by-step explanation:
Volume of a sphere is given by
<h3>

</h3>
where r is the radius
From the question
r = 3 inches
Substitute the value into the above formula and solve for the volume
That's
<h3>

</h3>
We have the final answer as
<h3>36π cubic inches</h3>
Hope this helps you
Answer:
y =6x+17
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (-7- -1)/(-4 - -3)
= (-7+1)/(-4+3)
-6/-1
6
The slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 6x+b
Substitute a point into the equation
-1 = 6(-3) +b
-1 = -18+b
Add 18 to each side
17 =b
The equation is
y =6x+17
Answer:
Step-by-step explanation:
Let the original water level is x.
<u>Use below equation to find its value:</u>
- x + 2.4 + 3 1/2 = 162 + 14.6
- x + 2.4 + 3.5 = 176.6
- x + 5.9 = 176.6
- x = 176.6 - 5.9
- x = 170.7 cm