Answer:
The measure of the missing angle is 25 degrees.
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
Answer:
422.4cm²
Step-by-step explanation:
area of circle is pi x 12² which is 144 pi
144pi subtract 30 is 422.4
The moral of the story is to not give up. The bird ,after discovering he couldn’t get the water after trying his hardest, still pushed through to pick up the stones to tip the pitcher to get the water.
Answer:
189
Step-by-step explanation:
You can replace the values of x with 9 and the values of y with (-3).
7(2x-3y) = 7(2 × 9 - 3 × -3)
= 7(18 - -9)
= 7(18+9)
= 7 × 27
= 189
