Answer:
a =12*sqrt(2)
Step-by-step explanation:
3. The Pythagorean theorem states
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 +21^2 = 27^2
a^2 +441 =729
Subtract 441 from each side
a^2 +441-441 = 729 -441
a^2 =288
Take the square root of each side
sqrt(a^2) = sqrt(288)
sqrt(xy) = sqrt(x)sqrt(y)
a = sqrt(144)sqrt(2)
a =12*sqrt(2)
Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
a=4 , b=3 These values make the equation true .
<u>Step-by-step explanation:</u>
Here we have , If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. We need to find if those values make the equation true . Let's find out:
We have the following equation:
-(a/b) = (-a)/b = a/(-b) , Let a=4 , b=3 , So
⇒ 
⇒ 
⇒ 
⇒ 
{ Multiplying by -1 }
⇒ 
Therefore , These values make the equation true .
3 and 3 is the correct answer ...
So 3/5=8 servings
x=10 servings
therefor
(3/5)/(8)=x/10 so
find x
multiply both sides by 10
(10(3/5))/8=x
(10(3/5))/8=(30/5)/8=(6)/8=6/8=3/4
he needs 3/4 cup of flower
