Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
Step-by-step explanation:
2002 can be rounded to a compatible number such as 2000.
2000 / 2 = 1000.
They each received around 1000 marbles.
Answer:
a) |n -11| = 5
b) n ∈ {6, 16}
Step-by-step explanation:
The wording of the question is ridiculous. We assume it is intended to read, "The distance between two numbers is 5. One of the numbers is 11. What are the possibilities for the other?"
a) The distance between a number (n) and 11 can be written as ...
|n -11|
Since we want that distance to be 5, we can write the equation ...
|n -11| = 5
__
b) The equation resolves to two:
Adding 11 to both sides of both equations gives ...
The two solutions are n=6 and n=16.
_____
<em>Comment on the question statement</em>
Increasingly, we see curriculum materials written in Pidgin English or where the words have a meaning different from that understood by a native English speaker. It appears you are the lucky recipient of such materials, so must do occasional "interpretation". Here, it seems that "two time a number" is intended to mean "two numbers."
<em>Answer:</em>
<em>D)</em>
<em>Step-by-step explanation:</em>
<em>We know that it cannot be C since z is not involved in this problem.</em>
<em>a) 3/20x</em>
<em>Try with 20 = x</em>
<em>3/440 ≠ 3</em>
<em>A is not the answer.</em>
<em>b) 60x</em>
<em>Try with 20 = x</em>
<em>1800 ≠ 3</em>
<em>B is not the answer.</em>
<em>c) 60/x</em>
<em>Try with 20 = x</em>
<em>3 = 3</em>
<em>Try with 15 = x</em>
<em>4 = 4</em>
<em>D is your answer.</em>
<em>Hope this helps. Have a nice day. Oh, and one more thing. Surprised to see I'm not stealing points?</em>
Let the number of students who bought tickets be s,
Let the number of adults who bought tickets be a,
Equation 1:

Equation 2:

Substitute ( 2 ) into ( 1 ),

Substitute a = 110 into ( 2 ),

Ans: 40 Student Tickets, 110 Adult Tickets