Answer:
Step-by-step explanation:
The discriminant comes from the quadratic formula. We use the discriminant to determine, before factoring, what types of solutions we can expect when we do factor. In the quadratic formula, the discriminant is under a square root sign. If the number under a square root sign is negative (meaning the discriminant is negative), we will not have real number solutions because you can't have a negative number under a square root. So a is your choice.
Answer:
8π yards
Step-by-step explanation:
A circle subtends a total angle of 360 ° from its center.The length of an arc is directly proportional to the angle it subtends from the circle's center. The arc's length can therefore be calculated as:
C=πd=2πr
Where C is circumference, d is diameter and r is radius. Given r as 16 yards then the arc length which is equivalent to circumference is given as

Answer:
3.75 inches
Step-by-step explanation:
In order to find the height in inches of Haydn's model we have to look at the scale he is unsing. He is using a 1.5 In: 30 ft scale. so every 30 feet of the building is 1.5 inches of the model. divide the 75 by 30 feet to see how many times the 30 feet are used. 75 divided by 30 is 2.5. Now since we know that 30 occurse 2.5 times we can multiply 1.5 * 2.5. remimber for every 30 feet of the actual building there is 1.5 inches in the model. 1.5 * 2.5= 3.75 which gies us our answer.
75/30=2.5
1.5 * 2.5=3.75
hope that makes sence. :)
Use the Pythagorean Theorem. a = b = 5 so
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
c = 5

= 7.071