Step-by-step explanation:
because they are vertical angles.
The 77°-angle is supplementary with therefore
and are vertical angles so
Answer:
The correct answer is B) 7/15
Step-by-step explanation:
In order to find this, we need to divide 4 3/8 by 9 3/8. In order to do that, we first need to make both improper fractions.
4 3/8 ÷ 9 3/8
35/8 ÷ 75/8
At this point we can drop the denominators and simply divide.
35/75
Now we can simplify by dividing both by 5.
7/15
Answer:a) $5.64 b) 21 ounces of tea leaves
Step-by-step explanation:
Step 1
5 ounces of tea leaves can be bought with $2.35
1 ounce of tea can be bought with =$2.35/5 =$0.47
12 ounces at the same rate can be bought with
=12 x $0.47 = $5.64
b) 5 ounces of tea leaves can be bought with $2.35
? Ounces of tea leaves can be bought with $10
$2.35 =5 ounces of tea
$10 = ? ounces of tea
= (10 x 5)/2.35
=50/2.35
=21.27 rrounded to 21 ounces of tea leaves
Answer:
Dy/Dx=-4x/(1+x²)²
Step-by-step explanation:
The differential of 1_x² over 1+x²
First of all
1_x² over 1+x² = (1_x²) / (1+x²)
Let (1_x²) = u
Let (1+x²) = v
Differential = Dy/Dx
Dy/Dx of (1_x²) / (1+x²)
= (VDu/Dx -UDv/Dx)V²
u = (1-x²)
Du/Dx = -2x
(VDu/Dx) =(1+x²)(-2x)
V = 1+x²
Dv/Dx = 2x
UDv/Dx= (1-x²)(2x)
v² = (1+x²)²
Dy/Dx = ((1+x²)(-2x) - (1-x²)(2x))/(1+x²)²
Dy/Dx= ((-2x -2x³)-(2x-2x³))/(1+x²)²
Dy/Dx=( -2x -2x - 2x³ +2x³)/(1+x²)²
Dy/Dx=-4x/(1+x²)²