Answer:
The simplified ratio would be 8 to 5.
Step-by-step explanation:
We can get the simplified ratio by finding the largest number that both sides can be divided by. In this context, it is the number 3 so we divide both sides by 3 to simplify the ratio.
Answer:
4
Step-by-step explanation:
You must simply combine the two
Answer:
4.8 inches
Step-by-step explanation:
Given: The largest frog in the world is goliath which is 12 inches long.
The smallest frog is about 2.5 as long as the goliath.
Lets assume the length of smallest frog be "x".
As given, smallest frog is about 2.5 as long as the goliath.
∴ we can form equation as 
Solving the equation to find the value of x
Dividing both side by 2.5
⇒ 
∴ 
Hence, the length of smallest frog is 4.8 inches.
Answer:
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Step-by-step explanation:
The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.
Depression triangle
The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,
using tangential ratio
tan 35° = opposite/adjacent
tan 35° = a/8
cross multiply
a = 8 tan 35°
a = 8 × 0.70020753821
a = 5.60166030568
a = 5.602 ft
Elevation triangle
The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.
tan 20° = opposite/adjacent
tan 20° = b/8
cross multiply
b = 8 tan 20°
b = 8 × 0.36397023426
b = 2.91176187413
b = 2.912 ft
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Answer:
= to
Step-by-step explanation:
