Answer:
Step-by-step explanation:
To find the length of the pole, use Pythagorean theorem,
4.6m = 4.6*100 = 460 cm
hypotenuse² = base² + altitude²
altitude² = hypotenuse² - base²
=460² - 280²
= 211600 - 78400
= 133200
altitude = √133200 = 364.97 cm
Length of the pole = 364.97 cm
b) Length of stair² = 95² + 364*94²
= 9025 + 133200
= 142225
Length of stair= √14225 = 377.13
Length of stair = 377.13 cm
Hi there,
θ = 180º + the angle of the right-angled triangle.
For finding the angle we know that the opposite side measures 6 units and the adjacent side measures 8 units. So, the hypotenuse is 10 units.
If we want to find the angle of the right-angled triangle we have to use the following equation.
sin(the angle of the right-angled triangle) =
⇒ the angle of the right-angled triangle = ≈ 36,87º
So,
θ = 180º + the angle of the right-angled triangle
θ ≈ 180º + 36,87º
θ ≈ 216,87º
sin(θ) = sin(216,87º)
sin(θ) =
sin(θ) =
If you want to do it using properties:
θ = 180º + |the angle of the right-angled triangle|
⇒ sin(θ) = sin(180º + |the angle of the right-angled triangle|)
Using properties:
⇒ sin(θ) = sin(180º)*cos( |the angle of the right-angled triangle|) + cos(180º)*sin(|the angle of the right-angled triangle|)
Sin (180) = 0
⇒ sin(θ) = cos(180º)*sin(|the angle of the right-angled triangle|)
sin(the angle of the right-angled triangle) = -
And cos(180º) = -1
⇒ sin(θ) = -1*
⇒ sin(θ) =
⇒ sin(θ) =
Let
a------------> first number
b------------> second number
we know that
a+b=-7--------> a=-7-b----------> equation 1
a-b=14--------> equation 2
<span>I substitute 1 in 2
</span>
(-7-b)-b=14-------------> -7-b-b=14----------> -7-2b=14-------> 2b=-7-14
2b=-21---------> b=-10.5
a=-7-b-------> a=-7-(-10.5)-----> a=-7+10.5------> a=3.5
the answer is
the two numbers are
a=3.5
and
b=-10.5
<span>16 6/9 inches < 16 16/18 inches
or
Perimeter of square clock < Perimeter of rectangular clock
First we would put convert the perimeter fractions into equivalent terms. So for the square clock, 16 6/9 inches becomes 16 12/18 inches (multiplying the fraction by 2/2). Now it is obvious that that the square clock at 16 12/18 inches has a smaller perimeter than the rectangular clock with a perimeter of 16 16/18 inches.</span>
Answer:
the probability that the song should be played on accurately 3 days out of 5 days is 0.051
Step-by-step explanation:
Given that
The probability that a particular song is played is 1 by 5
We need to find out the probability that the song should be played on accurately 3 days out of 5 days
So,
= 0.051
Hence, the probability that the song should be played on accurately 3 days out of 5 days is 0.051
The same is considered