By pythagorean theorem
a^2+b^2=c^2
We can find that PL is 12.65
and then by altitude theorem
MA*LA=PA^2
we can find the value of MA
12MA=16
MA=1.33
then by the pythagorean theorem
we can use to find PM
MA^2+PA^2=PM^2
so PM=4.22
then to find the are you multiply length by width
PM*PL
12.65*4.22
So the area is 53.38
It is 3.33%
Origninally, the decimal continues with repetitive 3s.
Answer: The density of the paper clips is 0.64 g/ml.
Step-by-step explanation:
Given : Volume of water = 10.0 mL
mass of water = 25.0 g
After 51 clips added to water , the total mass = 28 g
Total volume = 14.7
Mass of clips = total mass - mass of water
= 28 g-25g = 3g
Volume of clips = Total volume- Volume of water
= 14.7- 10.0 = 4.7 ml
Density of paper clips =
Hence, the density of the paper clips is 0.64 g/ml.
Answer:
1st even integer = 2
2nd even integer = 4
3rd even integer = 6
Step-by-step explanation:
Let the consecutive even integers be:
1st = 2(x)
2nd= 2(x +1) = 2x + 2
3rd = 2(x + 2) = 2x + 4
According to Given conditions:
7(2x) = 4 + 2x +2 + 2x + 4
By Simplifying:
14x = 10 + 4x
Subtracting 4x from both sides
14x - 4x = 10 + 4x -4x
10x = 10
Dividing both sides by 10 we get:
x = 1
Now putting value of x in supposed integers:
1st even integer = 2(1) = 2
2nd even integer = 2(1)+2 = 4
3rd even integer = 2(1) + 4 = 6
I hope it will help you!
Answer:
BD measures 20 units.
Step-by-step explanation:
We are given that Point C is on the line segment BD, where:

And we want to determine the numerical length of BD.
Since C is somewhere on BD, BD is the sum of BC and CD:

Substitute:

Solve for <em>x</em>. Subtract:

Hence, the value of <em>x</em> is 4.
BD is given by 5<em>x</em>. Therefore:

In conclusion, BD measures 20 units.