Answer:
approximately 6.708 feet
Step-by-step explanation:
We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:
which is approximately 6.708 feet
Answer:
see explanation
Step-by-step explanation:
A recursive rule allows us to find the term in a sequence from the previous term.
From the given geometric sequence find r the common ratio
r = 
= 
= - 4
Hence recursive rule is
= - 4
( a₁ = 
)
The plot of the PDF shows the distribution is symmetric. This means that the mean is the same as the median, and that the 50% of the distribution lies to other side of this mean, i.e.
For this distribution, 
.
Answer:
∠ EBF = 98°
Step-by-step explanation:
(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then
3x - 15 = 2x + 10 ( subtract 2x from both sides )
x - 15 = 10 ( add 15 to both sides )
x = 25
3x - 15 = 3(25) - 15 = 75 - 15 = 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBF is an exterior angle of the triangle , then
∠ EBF = 60° + 38° = 98°
Answer:
When a figure or shape is dilated , the size of the figure either enlarges or shrank without changing its actual shape.
Shape or figure after dilation is similar to original figure.
If the scale or factor of dilation is greater than 1 the shape enlarges.
If the scale factor lies between 0<scale factor<1, then the figure shrinks i.e size reduces.
So out of all the options given →It has the same shape as the original and is smaller than the original figure.
