<span>the longitude of the ramp is determined by the Hypotenuse, we have the angle(4.5Âş), and the opposite side (3ft), so with the Sin(x) trigonometric function ( sin(x)=opposite/hypotenuse ) we can calculate the answer.
Using the formula, hypotenuse=opposite/sin(x)
Hypotenuse=3ft/sin(4.5)
hypotenuse=3ft/0.0784591
hypotenuse=38.236482
the ramp must be 38.2 ft long.
the calc must be in degrees to get an accurate answer to any trigonometric function</span>
Answer:
<u><em>4 : </em></u> Coordinate of Q = 
<em><u>5 : </u></em> Coordinate of point A = (-2,-2)
Explanation :
4) Given the points M(-3, -4) and T(5,0)
x₁= -3, y₁ = -4 and
x₂ = 5, y₂ = 0
m = 2, n = 1
Now apply the section formula,
{(mx₂+nx₁)/(m+n) , (my₂+ny₁)/(m+n)}
Coordinate of point Q = 
5) AB:BC = 3:4
A = (x,y), end point
B = (4, 1)
C = (12, 5) end point
So, m = 3 & n = 4
x₁ = x , y₁ = y , x₂=12 & y₂ = 5
Apply section formula we get
4 = (36+4x)/7 & 1 = (15 + 4y)/7
28= 36 + 4x 7 = 4y + 15
4x =-8 4y =-8
x = -2 y = -2
It’s it four I think hope it helps
Answer:
average speed of hiker is 2.4 mph
Step-by-step explanation:
here is the solution : -
=》

=》

=》

average speed of hiker is 2.4 miles per hour
Question:
A solar lease customer built up an excess of 6,500 kilowatts hour (kwh) during the summer using his solar panels. when he turned his electric heat on, the excess be used up at 50 kilowatts hours per day
.
(a) If E represents the excess left and d represent the number of days. Write an equation for E in terms of d
(b) How much of excess will be left after one month (1 month = 30 days)
Answer:
a. 
b. 
Step-by-step explanation:
Given
Excess = 6500kwh
Rate = 50kwh/day
Solving (a): E in terms of d
The Excess left (E) in d days is calculated using:

The expression uses minus because there's a reduction in the excess kwh on a daily basis.
Substitute values for Excess, Rate and days


Solving (b); The value of E when d = 30.
Substitute 30 for d in 



<em>Hence, there are 5000kwh left after 30 days</em>