Answer:
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Answer:
Height = 14.4
Step-by-step explanation:
The diagonals meet at right angles. Interesting property.
The hypotenuse is the side of the rhombus = 15 cm
One of the sides of the small triangles created by the intersection of the diagonals = 24/2 = 12
You can find the other side of the the triangle by using the Pythagorean Theorem
a^2 + b^2 = c^2
c = 15
a = 12
b = ?
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 225 - 144
b^2 = 81
b = 9
The area of this right angle = 9 * 12/2 = 54
There are 4 of them so 4 * 54 = 216
That's the area of the rhombus.
The h= Area / b
b = 15
h = 216/15
h = 14.4
5.100 x 10⁻³ = 5.100 x 0.001
= 0.005100 (shift the decimal point for 5 by 3 units left)
Alternatively, because 10⁻³ = 1/1000, therefore
5.100 x 10⁻³ = 5.1/1000
0.0051
---------------
1000 | 5.100
5000
-------------
1000
1000
This yields the same result.
Answer: b. 0.005100
9514 1404 393
Answer:
6.2
Step-by-step explanation:
We presume your "k-value" is the k in the exponential decay term ...
e^(-kt) . . . where t is the number of time units
This is 1/2 when ...
ln(1/2) = -kt
t = ln(1/2)/(-k) = ln(2)/k
t = 0.69315/0.1124 ≈ 6.2
The half life is about 6.2 time units.
Answer:
Amount left = Rs 45
Step-by-step explanation:
Let the initial amount be x.
Translating the word problem into an algebraic expression, we have;


Cross-multiplying, we have;


Rearranging the equation (collecting like terms), we have;

x = Rs 60
Next, we find the amount left;
Amount left = 60 - 15
Amount left = Rs 45