Answer:
The answer to your question is c = 20
Step-by-step explanation:
Data
a = 15
j = 24
k = 32
c = ?
Process
Use proportions to solve this problem. Compare the small triangle and the large triangle.
1.- Proportion of the small triangle
c/15
2.- Proportion of the large triangle
k/j
3.- Equal but terms and solve for c
c/15 = k/j
-Substitution
c / 15 = 32/24
c = 32(15)/24
-Result
c = 20
Answer:
≥≤ are used when the number is less/greater or equal than some thing.
>< are used when a number is strictly less/greater than some thing.
1) a number x is less than 0 or at least 3
A number x is less than 0 is written as: x < 0.
x is at least 3 is written as: x ≥ 3.
Then we can write the statement as:
x < 0 ∨ x ≥ 3.
where ∨ means "or"
2) a number x is less than or equal to 4 and greater than -1
x less than or equal to 4 is written as: x ≤ 4
x is greater than -1 is written as: x > - 1.
We can write the statement as:
-1 < x ≤ 4
3) a number x is less than 8 and greater than or equal to 5
x is less than 8 is written as: x < 8
x is greater than or equal to 5 is written as: x ≥ 5.
Then the statement can be written as:
5 ≤ x < 8,
Let
x-------> t<span>he horizontal length of the roller coaster
y------> </span>the elevation of the roller coaster
c------> t<span>he incline of a roller coaster
</span>
we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3
substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
y=15.026 m
c=2*y-----> c=2*15.026----> c=30.052 m
the answer is30.05 m
First of all f(2)=2(2)-5=-1 and f(5)=2(5)-5=5
so
f(2)+f(3)=-1+5=4