Answer:
Step-by-step explanation:
We khow that A is the sum of all odd numbers that are less than 100
So A= 1+3+5+...+99
We can calculate this sum without adding all this numbers one by one
A = the number of terms *( first term + last one ) over 2
To get the number of terms we substract the first term from the last term then we add one
We khow that odd numbers are wiritten this way : 2*n +1 where n is an integer
So 99= 2*49+1
1= 2*0+1
So the number of terms is : 49-0+1 =50
So A= 50*(1+99)/2 = 2500
Foloowing the same method we get :
B= (49-1+1)*(2+98)/2= 2450
A>B
Answer:
x-y=-2
Step-by-step explanation:
Divide both sides if the equations by 3.
(3y-3x)÷3=6÷3
y-3x÷3=2
calculate the quotient
y-x=2
multiply both sides of the equation bub -1
-1x(-x)-1y=-1x2
any expression multiplied by -1
x-1y=-1x2
any expression multiplied by 1 remains the same.
x--y=-1x2
x-y=-2
Answer:
The sum of two numbers is 14 and their difference is 10
Step-by-step explanation:
"2 numbers (x and y)
x+y = 14
and x-y + 10
If you each equation by positive 2, one gets 2x+2y = 28 and 2x-2y = 20
The 'y-terms' cancel out or equal zero when adding, so 4x = 48, divide by 4 on each side and x or the first number equals 12.
Plug 12 back into the equation for 'x' and subtract 12 on both sides so that y=2
The difference of 12-2=10 and the addition of 12 and 2 equals 14"
hopes this helps
Step-by-step explanation:
<u>Step 1: List out all of the formulas for the trigonometric functions
</u>
<em>sin(x) </em>= opposite/hypotenuse
<em>cos(x)</em> = adjacent/hypotenuse
<em>tan(x) </em>= opposite/adjacent
<u>Step 2: Find the value of RS
</u>
cos(31) = RS/24.8 NOT 24.8/RS
sin(31) = QS/24.8 NOT RS/24.8
sin(31) = QS/24.8 NOT 24.8/RS
cos(31) = RS/24.8 WHICH IS SAME AS RS/24.8
Answer: The correct length would be given from Option D, cos(31) = RS/24.8
