Answer:
IJ is 5.8 ft
Step-by-step explanation:
Here, we want to calculate the length of IJ
to Find IJ, we need the appropriate trigonometric ratio
The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent
from the question, IJ is the opposite
This is the side facing the given angle
HI is the hypotenuse which is the side facing the right-angle
HJ is the third side which is the adjacent
Mathematically;
That is the Tan
Tan 71 = IJ/2
IJ = 2 Tan 71
IJ = 5.8
Answer:
$13842.43
Step-by-step explanation:
Given data
Value of car=$15,250
Rate of depreciation= 16%
Time = 6 years
We can use the exponential function below to model the value of the car after 6 years
v(t)= a(r)^x
But r= 1-0.016----------Because the value is depreciating
a=15,250
r=0.016
x=6
Substitute
v(t)= 15250(1-0.016)^6
v(t)= 15250(0.984)^6
v(t)= 15250*0.9077
v(t)= $13842.43
Hence the value will be $13842.43 after 6 years
Let volleyball be v and let basketball be b.
v : b = 4 : 7, b = 21
v : 21 = 4 : 7
v/21 = 4/7
7*v = 4*21
v = 4*21/7
v = 4*3
v = 12
Volleyballs are 12
Hope this helps.
