<h3>
Answer: 14.2</h3>
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Explanation:
Let point N be at the intersection of the horizontal line and segment JM.
We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.
In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.
So,
JM = JN + NM
JM = NM + NM
JM = 2*NM
JM = 2*7.1
JM = 14.2
Answer:
162
Step-by-step explanation:
Answer: 3.87 * 10^5, or 387000
Step-by-step explanation:
Move the decimal to the left and increase the power.
If you want to have it expanded, move the decimal point to the right 4 times of the original to get 387000.
Answer:
:1
Step-by-step explanation:
Ratio of height of two cylinders are 3:1
Let C2 has the height x
then height of C1 is 3x
Let r1 is the radius of C1
and r2 is the radius of C2
As given that volume of both are equal
Also we know that formula for the volume of the cylinder is
V= π r²h
for C1
V= π (r1)²h
for C2
V=π (r2)²h
As volume of both are same so equating them
π (r1)²h1 = π (r2)²h2
as h1 =3x and h2=x
putting values
π (r1)²(3x) = π (r2)²(x)
cancelling out π and x from both side of the equation
3(r1)²= (r2)²
Taking square root of both sides give

r1 (
) = r2
or
r1 : r2 =
:1
Answer:
x=-4
x=6
Step-by-step explanation:
Lets put to work the well known quadratic equation:

Let us also, remember the given equation: x^2-2x-24=0
Where 'a' would be equals to 1, 'b' equals to -2 and c equals to -24.
The quadratic equations with those values is:

Where we obtain two values.
x1= -4
and x2= 6