7tens8ones
6tens18ones
5tens28ones
4tens38ones
3tens48ones
2tens58ones
1tens68ones
0tens78<span>ones</span>
Answer:
x=-75
Step-by-step explanation:
Options A,B and D. The correction about the area of the triangle are
- The apothem can be found using the Pythagorean theorem.
- The apothem can be found using the tangent ratio.
- The length of the apothem is approximately 2.5 cm.
<h3>How to solve for the length of the Apothem using the Pythagoras theorem</h3>
Firstly this is an equilateral triangle
3 of the sides have the length of 8.7cm
b = half of 8.7
= 4.35cm
To get A we have
a² + b² = c²
a² + 4.35² = 5²
When we solve this out we would have
a² = 25 - 18.9225
a ≈ 2.5 cm.
Hence we have proved that the first option is correct.
<u>For B,</u>
In an equilateral triangles, each of the angles = 60 degrees
60/2 = 30 is the angle that is made from the base
<h3>using tangent ratios </h3>
a / 4.35 = tan 30
then a = 4.35 tan 30
This would also give us an approximate of 2.5
For D
The calculations we have done based on the statements in A and B shows that D is correct as 2.5.
Read more on triangles here:
brainly.com/question/18404158
#SPJ1
<span>The first part of the quadratic formula, x = - b/2a, is the equation of the axis of symmetry, and the x-coordinate of the vertex. </span>
<span>In standard form: - 2x² + 8x - 5 = 0, a = - 2, b = 8, c = - 5 </span>
<span>The axis of symmetry: x = - 8/2(- 2) = - 8/- 4 = 2 </span>
<span>Go back and solve for y to find the y-coordinate of the vertex. </span>
<span>y = - 2(2)² + 8(2) - 5 </span>
<span>y = - 2(4) + 16 - 5 </span>
<span>y = - 8 + 16 - 5 </span>
<span>y = 3 </span>
<span>Vertex is (2, 3)</span>
