Step-by-step explanation:
Let
c = 11.5 cm
a = 8.9 cm
b = ?
Since this is a right triangle, we can use Pythagorean theorem to find the length of side b:


Taking the square root of the equation above, we get


Answer: infinitely many solutions
Step 1)
√25y² +16 =5y + 4
(√25y² + 40y + 16)² = (5y + 4)²
25y² + 40y + 16 = (5y + 4)²
25y² + 40y + 16 = (5y)² + 2 × 5y × 4 + 4²
25y² + 40y + 16 = 5² × y² + 2 × 5y × 4 + 4²
25y² + 40y + 16 = 25y² + 2 × 5y × 4 + 16
25y² + 40y + 16 = 25y² + 40y + 16
25y² + 40y + 16 = 25y² + 40y + 16
25y² + 40y + 16 − 25y² − 40y − 16 = 0
0 = 0
Answer:
98 cm²
Step-by-step explanation:
area of rectangle = length * width
length = 14 cm, width = 14/2 = 7 cm
area = 14 * 7 = 98 cm²
Answer:
=6/7
Step-by-step explanation:
Answer:
this one is supplementary and x equals 31
Step-by-step explanation:
Remember, complementary angles add up to equal 90 degrees whereas supplementary angles add up to equal 180 degrees.
In this case, since your angles together form a straight line, they're supplementary angles. Now, to solve for x:
(3x + 25) + 2x = 180 (step 1: set the equation equal to 180)
5x + 25 = 180 (step 2: combine like terms)
-25 -25 (step 3: subtrace 25, BS)
5x = 155
5x / 5 = 155 / 5 (step 4: divide by 5, BS to get x by itself)
x = 31