Answer:
Standard Deviation = 9.1
(Please vote me Brainliest if this helped!)
Step-by-step explanation:
Standard deviation = square root of variance
=
= 9.1
Answer:
<em>The distance from the flagpole to the tree is 27 ft</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.
Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:

Where x is the distance from the bench to the tree.
Solving for x:

x = 45 feet
Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet
Answer:
3rd option - 14 m²
Step-by-step explanation:
First we know that the square's area will be 2×2 = 4
To calculate the area of a triangle we know the vertical height is 2.5 and the base length is 2 so we can use the formula b×h/2 to give the area of one triangle:
2.5×2 = 5
5÷2 = 2.5
So the area of 1 triangle is 2.5 m²
Since there are 4 triangles we multiply the area of 1 traingle by 4:
2.5×4 = 10
We add the area of the 4 triangles to the area of the square to give our final answer of :
10 + 4 = 14
14 m²
Answer:
y + 7 = -
(x - 1)
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 = -
and (a, b) = (1, - 7), thus
y - (- 7) = -
(x - 1), that is
y + 7 = -
(x - 1) ← in point- slope form
Answer:
x = 
Step-by-step explanation:
12y = 75 + 5x + 2x - 1
combine like terms:
12y = 74 + 7x
subtract 74 from both sides:
7x = 12y - 74
divide both sides by 7:
x = 