Answer:
4 feets
Step-by-step explanation:
Given that :
Height of tree = 20 feets
Shadow of tree = 15 ft
Height of student = 5ft 4 in ; 4 in = 0.3333 foot = 5.3333 feet
Shadow of student = s
Height of tree / shadow of tree = height of student / shadow of student
20 / 15 = 5.33333 / s
Cross multiply :
20 * s = 15 * 5.33333
s = 79.99995 / 20
s = 3.9999975
Shadow of student =, 4 feets
Hi There!
Exponents are used in math so its easier to multiply. For example if you have to do 8 * 8 * 8 * 8 * 8 * 8 * 8 * 8, then to make it easier to multiply you could change into the exponent form

that is what exponents are used for in math
Hope This Helps :)
Answer:
graph is attached below.
Step-by-step explanation:
Given : equation 3x ≤ 2y - 7
We have to plot the graph for the given inequality.
Consider the given inequality 3x ≤ 2y - 7
To plot the graph we first convert inequality to equality.
then equation becomes, 3x = 2y - 7
We find the points to plot this line,
at x = 1
⇒ 3(1) = 2y - 7
⇒ 3 = 2y - 7
⇒2y = 10
⇒ y = 5
at x = 3
⇒ 3(3) = 2y - 7
⇒ 9 = 2y - 7
⇒2y = 16
⇒ y = 8
at x = 5
⇒ 3(5) = 2y - 7
⇒ 15 = 2y - 7
⇒2y = 22
⇒ y = 11
Thus, points are (1 , 5) , (3,8) and (5 , 11)
Now we plot these points and obtained the graph of line 3x = 2y -7
For region to be shaded take a test point and check whether it satisfy the given given inequality or not.
Let point be (-3, 0)
Substitute x= -3 and y = 0, we get
3(-3) ≤ 2(0) - 7
⇒ -9 ≤ - 7 (true)
Graph plot is as shown below.
1 - y = 1.5x - 3
2 - y = 2x - 1
3 - y = 8/3x - 3
4 - y = -3x - 2
5 - y = 5 - 8/5x
6 - y = 5+x/3
Answer:
? = 16
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan ? = opp side / adj
tan ? = 13 / 46
Taking the inverse tan of each side
tan ^ -1 ( tan ? ) = tan ^-1 ( 13/46)
? = 15.78075
To the nearest degree
? = 16