Answer:
width = 7 and length = 9
Step-by-step explanation:
Let's assume width = w, and length = 2 + w
So area of a rectangle = width * length
63 ft² = w (2 + w)
63 = 2w + w²
w² + 2w - 63 = 0
Use the quadratic formula to solve this
here, a = 1, b = 2 and c = -63
w = 7 or -9
The dimensions of a rectangle cannot be negative. So we take the dimension, w = 7.
Width = 7 and Length = 7+2 = 9
The probability is 3/14. There are 2 multiples of 4 in 14, which is 8 and 12. There is only 1 multiple of 6 in 14 which is 12. 1+2=3. It is possible outcomes over total outcomes so 3/14.
to find a slope you subtract the y value of the 2nd point from the y value of the 1st point then you devide that by the difference of the x value of the 2nd point subtracted from the x value of the 1st point. so 5-3 devided by -3-4, 5-3=2, -3-4=-7. so m = 2/-7 is your slope. the slope is usually represented with the letter m.
Answer:Area = 48.6 in²
Explanation:The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)
This rule is illustrated in the attached image.
Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²
Hope this helps :)
Answer:
4.58258
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
Input:
2² + x² = 5²
Remember, c² is always the side opposite of the right angle...
4 + x² = 25
21 = x²
x = 4.58258
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