Answer:
AE = 7.5
Step-by-step explanation:
Since <BAC = , then;
<BAD = <DAE = <CAE = (complementary angles)
From ΔABC, applying the Pythagoras theorem to determine the length of side AC;
=
+
=
+
100 = + 25
= 100 - 25
= 75
AC =
Applying trigonometric function to ΔCAE,
Cos =
AE = × Cos
= 7.5
Therefore, AE = 7.5
Hey there!
Assuming that all the sections are the same size, there are four sections of equal size.
Blue would be one out of those four sections, so the probability is 1/4. In decimal form this is .25, and as a percent this is 25%.
Hope this helps!
Given:
The area model for .
To find:
The value of and the missing values in the area model.
Solution:
2.1 can be written as 2 and 0.1 on the left side of the area model.
3.2 can be written as 3 and 0.2 on the top of area model.
Area of the four parts of the area model are:
The complete area model is shown below.
After adding all areas of the area model, we get
Therefore, the value of is 6.72 and the missing values of the area model are 0.3 and 0.02 respectively.
