Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse
base=2 feet
hypotenuse(ladder)=13 ft
We need to find the altitude,
By applying pythagoras theorem,
base square+altitude square=hypotenuse square
Take altitude as x
2 square+x square=13 square
4+x square=169
x square=169-4
x square=165
x= root of 165
x=12.8 feet(approx.)
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
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Answer:
The volume of the cylinder shown in the figure is 628 cube meters
Step-by-step explanation:
Given figure is about cylinder
The height of the cylinder = h = 8 meters
The radius of the base of cylinder = r = 5 meters
Now, let The volume of cylinder = V m³
So, The volume of cylinder is given as V = 
×r²×h
where r is the radius of its base
And h is the height of cylinder
The value of = 3.14
So, V = × r² × h
Or, V = 3.14 × (5)² × 8
Or, V = 3.14 × 25 × 8
or, V = 628 m³
So, The volume of cylinder = V = 628 m³
Hence The volume of the cylinder shown in the figure is 628 cube meters Answer
Answer:
Answer: Five times a number increased by 7 is 27 from equation Get the answers you need, now!
Answer: 75
work: n/5 + -6 = 9
n/5 = 9+ 6
n/5 = 15
n = 15 x 5
n= 75
