Answer:
37 ft
Step-by-step explanation:
The Pythagorean theorem tells you the length of the diagonal is the square root of the sum of the squares of the side lengths:
diagonal = √(30^2 +22^2) = √1384 ≈ 37 . . . . feet
Answer:
All shapes except the cone with 5in radius and 8in height
Step-by-step explanation:
Volume of the cylinder with radius 5in and height 8in is expressed as;
V = πr²h
V = 3.14*5²*8
V = 3.14*25*8
V = 628 square inches
The volume of the cylinder is greater than 500in³
Volume of the cone with radius 5in and height 24in is expressed as;
V = 1/3πr²h
V = 1/3*3.14*5²*24
V = 3.14*25*8
V = 628 square inches
The volume of the cone is greater than 500in³
Volume of the spheree with radius 5in is expressed as;
V = 4/3πr³
V = 4/3π(5)³
V = 4/3 * 3.14 * 125
V = 523.33 square inches
The volume of the sphere is greater than 500in³
Answer:
Their welders earn $50,000 annually.
Step-by-step explanation:
Given : 
n = 100
To Find : The ship building association wishes to find out whether their welders earn more or less than $50,000 annually.
Solution :
n = 100
Since n > 30
So we will use z test
Substitute the values
Refer the z table for p value
p value = 0.9599
α= 0.05
Since p value > α
So we accept the null hypothesis .
Hence their welders earn $50,000 annually.
Answer:
below
Step-by-step explanation:
You've been asked to use specific x-values. Simply replace the x in the equation for each of your x-values then graph.
first equation!!
(x,y)
y=-2x+5
x-value: -2
y=-2(-2)+5
y=4+5
y=9
(-2, 9)
x-value: -1
y=-2(-1)+5
y=2+5
y=7
(-1, 7)
x-value: 0
y=-2(0)+5
y=0+5
(0, 5)
x-value: 1
y=-2(1)+5
y=-2+5
y=3
(1, 3)
x-value: 2
y=-2(2)+5
y=-4+5
y=1
(2, 1)
second equation :)
(x,y)
y=x^2 +2
x-value: -2
y=-2^2 +2
y=4+2
y=6
(-2, 6)
x-value: -1
y=-1^2 +2
y=1+2
y=3
(-1, 3)
x-value: 0
y=0^2 +2
y=0+2
(0, 2)
x-value: 1
y=1^2 +2
y=1+2
y=3
(1, 3)
x-value: 2
y=2^2 +2
y=4+2
y=6
(2, 6)
third equation
(x,y)
y=√2 x+1
x-value: 1
y=√2 1+1
y=1+1
y=2
(1, 2)
x-value: 4
y=√2 4+1
y=2+1
y=3
(4, 3)
x-value: 9
y=√2 9+1
y=3+1
y=4
(9, 4)
x-value: 16
y=√2 16+1
y=4+1
y=5
(16, 5)
x-value: 25
y=√2 25+1
y=5+1
y=6
(25, 6)
fourth (last) equation :-)
(x,y)
y=4/x
x-value: -4
y=4/-4
y=-1
(-4, -1)
x-value: -2
y=4/-2
y=-2
(-2, -2)
x-value: -1
y=4/-1
y=-4
(-1, -4)
x-value: 0
y=4/0
y=0
(0, 0)
x-value: 1
y=4/1
y=4
(1, 4)
x-value: 2
y=4/2
y=2
(2, 2)
x-value: 4
y=4/4
y=1
(4, 1)
