Answer: 1 1/2 yards of yarn
Step-by-step explanation: For this problem, we will simply be multiply 1/2 yard by 3 to get the amount of yard that Ahlam will need.
1/2 x 3/1 = 3/2 or 1 1/2 yards of yarn. Basically you multiply the top of the fractions first (1 x 3) = 3 Then, you multiply the bottom of the fractions second (2 x 1) = 2 (3/2 or 1 1/2)
Answer:
<em>Your</em><em> Answer</em><em> Is</em>
<em>True</em>
Step-by-step explanation:
Hope It Help
Answer:
x=4.0625 cm
Step-by-step explanation:
The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.
Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:
(x+5)^2= 9^2+(x-3)^2
(x^2+10x+25)=81+(x^2-6x+9)
x^2+10x+25=81+x^2-6x+9
16x=65
x=4.0625
Checking:
(4.0625+5)^2=9^2+(4.0625-3)^2
82.1289=82.1289
A given term in a PG =a₁rⁿ⁻¹
Let' calculate the 1st term a₁, knowing a term & the common factor/ratio
a₄ = 1/2 so 1/2 = a₁(1/2)³
1/2 = a₁/8 and a₁ = 4
Now calculate a₉ =a₁.r⁸
a₉ = 4.(1/2)⁸ and a₉ = 1/64
-5x+4y=2
9x-4y=6
eliminate the 4y as a positive 4 + negative 4 =0
this will leave you with
-5x=2
9x=6
add them
4x=8
divide both sides by 4
x=2
to find y, plug in x=2 for any one of the original equations
-5(2)+4y=2
-10+4y=2
add 10 to both sides
4y=12
divide both sides by 4
y=3
the final answer is (2,3)