Answer:
Step-by-step explanation:
We can see that the scale factor is 2
<u>Corresponding sides have length of:</u>
- 6 and 3; 4 and 2; 3 and 1.5
<u>Therefore corresponding angles, opposite to corresponding sides are:</u>
<u>Correct answer option:</u>
Answer:
96
Step-by-step explanation:
The maximum height reached by the pebble modeled by the quadratic function,
, can be found by finding the vertex.
Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.
When comparing 
to 
, we see that:
We need to evaluate the following to find the t-coordinate of the vertex:
So now to find the correspond h(t)-coordinate, we will need to replace t in 
with 1:
To get the value of h we use proportionality:
ΔABC is similar to ΔADB and is similar to ΔBDC this is because they are right triangles. This implies that there corresponding sides are equal. Hence:
AD=25-16=9
using Pythagorean theorem:
c^2=a^2+b^2
then:
AB^2=(h^2+9^2)
Also:
(BC)^2=(AB)^2+(AC)^2
=25^2-(h^2+9^2)
Also:
(BC)^2=(BD)^2+(DC)^2
thus
(BC)^2=h^2+16^2
hence combing the values for (BC)^2 we get:
25^2-(h^2+9^2)=h^2+16^2
simplifying we obtain:
625-h^2-81=h^2+256
putting like terms together
625-81-256=h^2+h^2
288=2h^2
thus
h^2=144
hence
h=√144
h=12 units
We know that
the radius is 65 ft
circumference of a circle=2*pi*r
for r=65 ft
circumference of a circle=2*pi*65-----> 130*pi ft
if 2*pi (full circle) has a length of----------------> 130*pi ft
x------------------------------------------> 92 ft
x=92*2*pi/(130*pi)----------> x=1.4154 radians-------> x=1.42 radians
the answer is
1.42 radians
