Answer:
a) 5,000 b) 3,600
Step-by-step explanation:
a) there are four different slots, and for the first three slots there are a possibility for 10 different numbers and in the last slot there can only be 5 different numbers. So you get 10 x 10 x 10 x 5 which leaves you with 5,000 possibilities
b) the same thing as above but know you have fewer numbers 10 x 9 x 8 x5 which gives you 3,600 possibilities
Volume is length x width x height. It measures how much space it can hold inside of a shape.
The quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
<h3>What are products?</h3>
Quotients are result derived from the multiplication of two rational or integers. Given the expression
2.28 × 5.59
Convert to fraction
2.28 × 5.59 = 228/100 ÷ 559/100
2.28 × 5.59= 127452/10000
2.28 × 5.59= 12.75
Hence the quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
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When we use arcsine, we are finding the angle while giving the trigonometric ratio.
Arcsin(u) = theta can be rewritten as:
sin(theta) = u
Sine is opposite over hypotenuse, so u/1 means that the side opposite to theta (the y value) is u, and the hypotenuse is 1.
We can use Pythagorean Theorem to find the adjacent (x value).
1^2 - u^2 = x^2
x = sqrt(1-u^2)
Back to the original question, we are trying to find cos(arcsin(u)). We just solved all the sides for our triangle using arcsin(u). Now we need to do cos(u).
Cosine is adjacent over hypotenuse.
So our answer is sqrt(1-u^2)/1
Or just sqrt(1-u^2)
Step-by-step explanation:
Let the marked price of a watch be =₹x
∴ Discount price = x- 20% of x
= x - 0.2x
=0.8x
Amount of VAT = 13% of 0.8x
0.13 x 0.8x
0.104x
Now,
Selling price = 0.8x + 0.104x
∴6328 = 0.904x
x = 0.904 / 6328
x=0.00014285714