For the given set of numbers:
<span>{1,2,3,4, 5, 6, 7, 8, 9, 10}
the number of elements
n=10
the total number of subsets is given by:
2^10=1024
</span>
When given the scale factor, just multiply!
8cm * 2.5 = 20cm per side
Answer:
C
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 2 and (a, b) = (1, 9) , thus
y - 9 = 2(x - 1) → C
The length of the ladder is 75ft.
<h3>What is hypotenuse?</h3>
The longest side, or hypotenuse, of a right-angled triangle is the side that faces away from the right angle. The Pythagorean theorem asserts that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.
<h3>According to the information:</h3>
The ladder makes an angle of 28° with the ground and the top of the ladder reaches 35ft
Therefore, we have:
Sineα = opposite/hypotenuse
Where:
Opposite = 35
Hypotenuse = Length
α = 28°
substitute values and solve for the length, as following:
Sine(28) = 35/Length
Length = 35/Sine(28)
Length = 75ft
Therefore,
The length of the ladder is 75 ft.
To know more about hypotenuse visit:
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7). C
8). 60
n = 5(10) + 10
n = 50 + 10
n = 60
9). 17
f(x) = -2x + 7 plug the -5 in for x
f(x) = -2(-5) + 7
= 10 + 7
= 17
10).
