Answer:
40, 60 and 80 degrees.
Step-by-step explanation:
Let the smallest angle be x degrees. Then:
The 3 angles are x, x + 40 and x + 20.
As there are 180 degrees in a triangle:
x + x + 40 + x + 20 = 180
3x = 180 -40--20 = 120
x = 40 degrees.
The other 2 angles are 60 and 80 degrees.
The probability of drawing a spade is 13/52 = 1/4
Because every hand has 13 cards and there is 52 cards in a deck
The probability of drawing a 7 is 4/52 or 1/13
Because there are seven 7 cards in a deck and 52 cards.
The obtained transformed data will show a linear relation when you graph log(y) vs x
This is the mathematical demonstration:
Exponential function: y= A (B)^x
log(y) = log A + x log B
log(y) = log A + (logB)x
log A is a constant and is the vertical axis-intercept
logB is a constant and is the slope of the graph
x is the independent variable
log A is a constant,
Answer:
1/x^4
Steps:
(1/2x)^4 = <em>1/2^4x^4</em>
= 16 * 1/2^4x^4
Multiply fractions: <em>a * b/c = a * b/c</em>
= 1 * 16/2^4x^4
Multiply the numbers:<em> 1 * 16 = 16</em>
16/2^4x^4
Factor 16: <em>2^4</em>
= 2^4/2^4x^4
Cancel the common factor: <em>2^4</em>
= 1/x^4
15$
7 payments of 5$ = 35$ if she only gets 20$ back she lost 15$
