Answer: 6
Step-by-step explanation: First, let's find the least common denominator between the 2 fractions, which is 4. Now let's multiply 9/2 by 2 to get the denominator of 4. Once you multiply the numerator and denominator by 2 you would get 18/4. So now the problem turns into how many 3/4 goes into 18/4. We know that 3/4 x 6 = 18/4. So the final answer is 6.
Answer:
<h2><u><em>
x = 85</em></u></h2>
Step-by-step explanation:
20% of a number is 17 . find the number
divide 17 by 20 and you find 1%, multiply by 100 and you get 100%
x = 17 : 20 * 100
x = 0.85 * 100
x = <u><em>85</em></u>
Answer:
<u>p = 21.4 cm</u>
<u>∠P = 44°</u>
Step-by-step explanation:
Apply the Pythagorean Theorem to solve for the length of p.
- p² + 21² = 30²
- p² = 900 - 441
- p² = 459
- p = √459
Now, take the inverse sine function to find angle P :
- sin⁻¹ (opposite side / hypotenuse)
- sin⁻¹ (21/30)
- sin⁻¹ (0.7)
(approximately)
Answer:
43756
Step-by-step explanation:
Multiply
Let the width be "x" cm.
Then the length is "x+12" cm
And the area = x(x+12) = x^2+12x cm^2
----------------------------
Change the dimensions:
width = "x-2" cm
length = "x+10" cm
New area = (x-2)(x+10) = x^2 + 8x - 20 cm^2
------------------
Equations :
Old area - New area = 108 cm^2
x^2+12x -(x^2 + 8x - 20) = 108
4x + 20 = 108
4x = 88
x = 22 cm (original width)
x+12 = 24 cm (original length)
