Answer:
Trust me it’s I disagree
Step-by-step explanation:
So you have to use the Pythagorean Theorum which is
and in this case a is 70 and b is 40.
So if we plug those numbers in we have to square a and b and add them which is 6,500 and to find c we have to find the square root of 6500 which is about 80 so lines PR and QR are different
Answer:
go on symbolab type the equation in and it gives u anwsers and work
Step-by-step explanation:
=\frac{4}{\left(x+2\right)\left(x+4\right)}
Answer: The three odd integers are 11, 13 and 15.
Step-by-step explanation: The first point to note is that the three unknown numbers are consecutive, which means they follow one after the other. Also we are told that the numbers are consecutive “odd integers.” This also means there is a two-digit interval between one number and the next. Hence, if the first number is A, the next number will be A + 2, and the third number will be A + 2 + 2 (that is, A + 4)
At this point we can now derive the following expressions based on the information we have been given, which is;
The sum of the first and third (A + {A + 4} )equals the sum of the second and 13 ({A + 2} + 13). Therefore we can write this out as follows;
A + {A + 4} = {A + 2} + 13
After removing brackets we now have
A + A + 4 = A + 2 + 13
2A + 4 = A + 15
By collecting like terms we now have
2A - A = 15 - 4
(Remember that when a positive value crosses to the other side of the equation it becomes negative, and vice versa)
2A - A = 15 - 4
A = 11
Hence, the three consecutive integers are 11, 13 and 15.
Answer:
7)V=16257.74
8)V= 226.19
9)V=12.56
10)V=6283.18
11)r=6.631
12)h=69.05
13)V=35328.78
Step-by-step explanation:
Volume of cylinder is given by formula:
V=πr^2h
where r is radius and h is height of cylinder
7)
r=15
h=23
Putting values in formula:
V= π(15)^2(23)
=5175π
=16257.74
8)
diameter=6
r=d/2=3
height =?
Finding height by pythagoras theorem:
h^2= 10^2-6^2
=100-36
=64
h=8
Putting values in formula:
V=π(3)^2(8)
= 72π
= 226.19
9)
r= 2
h=1
Putting values in formula:
V=π(2)^2(1)
=4π
= 12.56
10)
diameter =20
r=d/2=10
h=20
Putting values in formula:
V=π(10)^2(20)
=2000π
=6283.18
Now finding the missing measures:
11)
Given V=210π
h = 15
r=?
Putting values in formula:
210π=π(r)^2(15)
r^2= 210π/15
=14π
r= 6.631
12)
V=197.82
r=3
h=?
Putting values in formula:
197.82=π(3)^2(h)
h= 197.82/9π
= 69.05
13)
r=21
h=25.5
Putting values in formula:
V= π(21)^2(25.5)
=11245.5π
=35328.78 !