Answer:
6.3 ft
Step-by-step explanation:
The ladder lying on the wall with an elevation of 39° forms a right angled triangle.
Hypotenuse = length of ladder = 10 ft
Opposite = x = ?
θ = 39°
Use trigonometric ratio formula to find, x, which is how far the ladder goes up the wall.
The trigonometric ratio formula to use is:
sin(θ) = opposite/hypotenuse
Sin(39) = x/10
Multiply both sides by 10
10*sin(39) = x
x = 10*sin(39)
x = 6.29 ≈ 6.3 ft (to nearest tenth)
The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
![\rm b_1(t) = 500(1.6)^t](https://tex.z-dn.net/?f=%5Crm%20%20b_1%28t%29%20%3D%20500%281.6%29%5Et)
a) As the base of the exponent is greater than 1 so it is exponential growth.
b) 500 in the equation represents the initial value.
c) We have another exponential equation:
![\rm b_2(t) = 800(1.6)^t](https://tex.z-dn.net/?f=%5Crm%20%20b_2%28t%29%20%3D%20800%281.6%29%5Et)
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
![\rm b_1(t) = 500(1.6)^t](https://tex.z-dn.net/?f=%5Crm%20%20b_1%28t%29%20%3D%20500%281.6%29%5Et)
The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.
Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
Learn more about exponential decay here:
brainly.com/question/14355665
#SPJ1
Height = 25'
vertical angle = 30 degrees
the length of each guy wire = 25/cos(30)=28.8675'
Diagram shows two guy wires, so total length
L=2*28.8675' = 57.735'
GIVEN:
- <u>Scale factor</u> :- 5/2
ANSWER:
Perimeter of ΔDEF = 5.5 + 2 × 7
So, perimeter of ΔJKL = 19.5 × 5/2
Answer:
Line y and z are parallel because their angles and the same measurement ensuring that they will never intersect .
Step-by-step explanation:
hope that helped. Picture was kinda blurry so I can't really tell the letters naming each line.