Answer:
The diagonal is 30 inches
Step-by-step explanation:
Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this
a² + b² = c²
so we plug our two values to find the diagonal (hypotenuse)
24² + 18² = c²
576 + 324 = c²
900 = c²
c = √900
c = 30
The diagonal is 30 inches
A. You need to compare 2/5, 1/2 and 3/4
2/5= .4
1/2= .5
3/4=.75
Therefore the bucket that is 2/5 full is less than 1/2 full
Answer:
(a) the size of each exterior angle 360/10=36
(b) the number of sides of the polygon. 10
Step-by-step explanation:
Each interior angle of a regular polygon is 4 times each exterior angle
∴sum of interior angles: (n-2)*180=4*360
n-2=8
n=10
(a) the size of each exterior angle 360/10=36
(b) the number of sides of the polygon. 10
F(x) = x² - 3x
g(x) = √x - 1
f(g(x))= (√x - 1)² - 3(√x - 1) = (√x - 1)(√x - 1 - 3) =(√x - 1)(√x - 4) =
= √x √x -1*√x -4*√x +4 = x -5√x +4
Answer: x -5√x +4
The height of the right cone given its volume and its diameter is 47 units.
<h3>What is the height?</h3>
A cone is a three-dimensional object that has a circular base and a vertex.
Height of the cone = Volume of a cone ÷ 1/3(πr²)
Where:
- π = 22/7
- r = radius = diameter / 2 = 30 / 2 = 15 units
- h = height
3525π÷ (1/3 x π x 15²) = 47 units
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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