Answer:
h=7ft
Step-by-step explanation:
sinФ=opposite/hypotenuse
sin45°=5/h
0.71=5/h
multiply via by h
0.71h=(5/h)h
h cancel h it remains 5
0.71h=5
divide through by 0.71
0.71h/0.71=5/0.71
h=7.04ft
h=7ft approximately
Answer:

Step-by-step explanation:
Given
Geometry Progression


Required
Calculate the second term
First, we need to write out the formula to calculate the nth term of a GP

For first term: Tn = 500 and n = 1




For fought term: Tn = 32 and n = 4


Substitute 500 for a

Make r^3 the subject


Take cube roots
![\sqrt[3]{r^3} = \sqrt[3]{0.064}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Br%5E3%7D%20%3D%20%5Csqrt%5B3%5D%7B0.064%7D)
![r = \sqrt[3]{0.064}](https://tex.z-dn.net/?f=r%20%20%3D%20%5Csqrt%5B3%5D%7B0.064%7D)

Using: 
and 




<em>Hence, the second term is 200</em>
Answer:
$1,600
Step-by-step explanation:
To find out how much of the final balance will come from the interest earned, you have to determine the total value of the deposits made and subtract this from the balance the account will have after 5 years.
amount deposited each month: $175
months: 12*5= 60
Total amount deposited: $175*60= $10,500
Interests: $12,100-$10,500= $1,600
According to this, the amount of the final balance that will come from the interest earned is $1,600.
Answer:
Step-by-step explanation:
hello :
the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c
the vertex : (- b , c )
means : (-2,-3) so : -b = -2 and c = - 3 so : b =2 and c = -3
f(x) = a(x+2)²-3
calculate : a
the graph passes through the point (2, 13) : f(2)=13
means : a(2+2)²-3 = 13
16a - = 13
16a = 16 so : a = 1
f(x) is represented by the equation f(x) = (x+2)²-3
The graph of f(x) color red and g(x) blue
is the y-intercept when g(x) greater g(x) than f(x) is when x=0 so : y = 6
C because the 2 is a single term, the 4x is a single term, and the 7y is a single term.