Answer:
Step-by-step explanation:
Pythagorean theorem:
x² + x² = (9√2)²
2x² = 162
x² = 81
x = 9
Answer:
The answer is 56.52 square centimeters
Step-by-step explanation:
The area of a circle is Pi R^2 so that means the area of a semi circle is half of that which is Pi R^2/2
since diameter is 12, radius = 12/2 = 6
Area = (3.14 × 6^2)÷2 = 56.52
Answer: the third option is the correct answer
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 16√3
With m∠30 as the reference angle,
the adjacent side of the right angle triangle is x.
the opposite side of the right angle triangle is y.
To determine x, we would apply
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = x/16√3
√3/2 = x/16√3
x = √3/2 × 16√3 = 3 × 8
x = 24
To determine y, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = y/16√3
1/2 = y/16√3
y = 16√3 × 1/2
y = 8√3
We know that
<span>1½ cup of cleaner-------> (1*2+1)/2-----> 3/2 cup of cleaner
</span><span>the ratio of cleaner to water=(3/2)/12---> 3/(2*12)--> 3/24--> 1/8
the answer is
1/8</span>
Answer:
x = 7
y = -2
Step-by-step explanation:
There are 2 equations. The substitution method takes one equation and puts it into the other and solves for 1 variable. Then you take that answer and put into any one equation and solve for the other variable.
Since equation #2 is already given for y = SOMETHING, we take that something and put it into "y" of the 1st equation. Shown below:
We got x = 7
Now, we know from Equation #2, y = x - 9, so
y = x - 9
y = 7 - 9
y = -2
Hence,
y = -2
In coordinate pair, the answer is (7, -2)
