Here pls give brainliest
What expression gives the height, h, of the triangle?
2 answers:
Answer:
<h2>C.</h2>Step-by-step explanation:
In the given graph, we have an isosceles triangles, which height divides its side in two equal parts.
So, from the division, we have to equal right triangles, which on leg is 6, and its angle is 80°, being the height the other leg.
Now, to find the height, we have to use trigonometric reasons, specifically, the tangent reasons because involves a relation with both legs
So, we isolate to find its expression
If we compare with given choices, you'll observe that option C is the right answer.
You might be interested in
Answer:
The rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8
Step-by-step explanation:
The given parameters are;
A 2 by 3 rectangle contains 8 squares
A 3 by 4 rectangle contains 20 squares
A 4 by 6 rectangle contains 50 squares
We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;
2 by 3 rectangle contains 8 squares
3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4
4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5
The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);
Column, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
Row
1
2
3
4
5
6
7
8
9
10
11
It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2
From the matrix, the rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.
