Letter D
A = 135°
B = 30°
cosAcosB - sinAsinB = cos(A+B)
cos(135°+30°)
cos(165°)
Given:
The number is
.
To find:
The location of the given number of the number line.
Solution:
We have,

It can be written as



It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.
The mixed fraction form of given number is



Divide the number in 5 equal parts between two consecutive integers.
Now each unit represents
.
Since
, therefore, it is 2 units left from -1.
The number line is given below.
Step-by-step explanation:
commons core yeayeayea
Answer:
The volume of the metal used is 5277.9 cm³.
Step-by-step explanation:
The volume of a cylinder is given by:

Where:
r: is the radius
h: is the height = 50 cm
The volume of metal (
) can be found by subtracting the internal volume (
) from the external volume (
):

The external radius is given by the sum of the internal radius with the tickness:

Hence, the volume is:

Therefore, the volume of the metal used is 5277.9 cm³.
I hope it helps you!
slope is -2/3
y2-y1/x2-x1
so the first y and the second y and subtract those
thn subtract the second x frm the first x
then divide the two numbers