Answer:
Juke's jump; by 0.35 feet
Step-by-step explanation:
Given that,
Cooper's jump rope is for 
feet.
Juke's jump rope is 
feet.
Cooper's jump is :
Juke's jump is
So, it is clear that Juke's jump is longer than Cooper's jump.
Juke's jump - Cooper's jump = 4.75 - 4.4
= 0.35 feet
or
So, Juke's jump is 375 feet longer.
The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)
<h3>Inequality</h3>
It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
First, you should find the critical points of the inequality.
x+2=0
x = -2
and
x-5=0
x=5
Write, the intervals in between critical points. Therefore, -2<x<5.
Read more about inequalities here.
brainly.com/question/25275758
#SPJ1
Step-by-step explanation:
3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,
2y^2 = 12 ---> y^2 = 6
or
y = √6
4.This is an equilateral triangle of side 11 so
y = 11/2
To find x, use the definition of sine 60:
sin 60° = opp/hyp
= x/11
or
x = 11sin60° = (11√3)/2
Answer:
below
Step-by-step explanation:
10ˣ = 5
applying log to both sides
xlog 10 = log5
x = 0•699
