Answer:
d. C. 4; enlargement
Step-by-step explanation:
Scale factor = Ratio of one of the side length of the scale diagram to the corresponding side length of the original diagram
Side length of scale diagram = 8 units
Corresponding side length of original diagram = 2 units
Thus:
Scale factor = 8/2 = 4
Scale factor = 4
Since it's an while number, it implies that it is an enlargement.
Answer:
50 rpm clockwise
Step-by-step explanation:
100/50 × 50/200 × 200/150 × 150/200 = 0.5
In an odd number of gears, the first and last rotate inthe same direction.
100 rpm × 0.5 = 50 rpm
Answer: 50 rpm clockwise
The total number of problems she needs to grade is 6.
To find the area of a triangle given its base and its height, use the formula A = bh/2.
The base of the triangle is 14m.
The height of the triangle is 10m.
Plug these values into the formula and solve.
A = bh/2
A = 14(10)/2
A = 140/2
A = 70
Answer:
The area of the triangle is 70 m².
Answer:
Step-by-step explanation:
Eliminate answer 4 immediately, because (4)(3) is not 7.
Look at answer 2: 7x + 3x = 10x, which does not match the middle term 12x in the original polynomial. Eliminate answer 2.
Look at answer 1: 1x + 21x = 22x, which does not match the middle term of the original polynomial. Eliminate answer 1.
All quadratics have solutions. Let's apply the quadratic formula to 3x^2 + 12x + 7: Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is
12²-4(3)(7), or 144 - 84, or 60. Being positive, this tells us that the given poly has two real, unequal roots:
-12 ± √60 -12 + 2√15 -12 - 2√15
x = ----------------- = ------------------- and x = --------------------
3 3 3
Normally, if c is a root, then x - c is a factor.
If we try this here, however, the resulting factors do not at all match any of your answer choices.
Don't be offended...but please ensure you have copied this problem down correctly.
