Answer:
Step-by-step explanation:
<u>Given</u> :
[ 1 inch = 2.54 centimeters ]
<u>Unit conversions to keep in mind</u> :
- <u>1 feet = 12 inches</u>
- <u>1 cm = 10 mm</u>
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<u>Solving</u>
- 10.5 feet
- 10.5 x 12 inches
- 126 inches
- 126 x 2.54 cm
- 320.04 cm
- 320.04 x 10 mm
- 3200.4 mm
The domain is all real numbers.
Answer:
x = 5/2, y = -1
x*y = 5/2*-1 = -5/2
Step-by-step explanation:
First we solve the system
2x-5y = 10
x = 5 + 5y/2
4x + 3y = 7
4(5 + 5y/2) + 3y = 7
20 +10y + 3y = 7
-13 = 13y
y = -1
Now go back to the other equation
2x - 5y = 10
2x - 5(-1) = 10
2x + 5 = 10
2x = 5
x = 5/2
Now we multiply x and y together
Answer:
12/37
Step-by-step explanation:
We know ,
=> sin B = p/h
=> sin B = 12/ 37
Answer:
Method 1 (using the area of a whole circle and dividing by 4)
First work out the area of the whole circle by substituting the radius of 8cm into the formula for the area of the circle:
A = π ×r²
= π ×8²
= 64π (leave the answer as an exact solution as this need to be divided by 4).
So all you need to do now is divide the answer by 4:
Area of a quadrant = 64π ÷4 = 16π = 50.3 cm² to 3 significant figures.
Method 2 (using ¼ πr²)
Substitute r = 8 directly into the formula A = ¼ πr².
A = ¼ πr².
A = ¼ × π × 8².
A = 50.3 cm²
As you can see it gives exactly the same answer as method 1.