Answer:
The value of x is 7
Step-by-step explanation:
we know that
If two figures are congruent, then the corresponding angles and the corresponding sides are equal
In this problem
Triangles ABC and DEF are congruent
ABC≅DEF
therefore
AB=DE ----> equation A
AC=DF ----> equation B
BC=EF ----> equation C
Substitute the given values in the equation B
Solve for x
therefore
The value of x is 7
The draw in the attached figure
Answer:
0.927
Step-by-step explanation:
add then round the last digit (it doesnt matter if it is a decimal number or not).
Answer:
42.69% of information is acquired by the student in two weeks.
Step-by-step explanation:
We are given the following in the question:
where a and b are constants.
p tells us about the percentage of acquired knowledge that a person retains after t weeks.
We have to find the percentage of knowledge acquired in two week.
We put t = 2
Thus, 42.69% of information is acquired by the student in two weeks.
Answer:
=7/6
Step-by-step explanation:
= 20/3-11/2
= 7/6
You should use calculator.
Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point <em>B</em> are;
The horizontal distance between the tree and point <em>B</em>, x = 125 meters
The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°
Let <em>h</em> represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
