Total number of possible outcomes = 36
Total number of outcomes with sum 9 = 4
{3, 6} (4, 5) {5, 4} (6, 3}
P(Sum = 9) = 4/36 = 1/9
Answer: 1/9
Answer:
=94 cm
Step-by-step explanation:
Using the Triangle angle bisector theorem
We can find the value for YK
TV VY
------- = -----------
TK YK
95.2 34
------- = -----------
168 YK
Using cross products
95.2 * YK = 34* 168
Divide each side by 95.2
YK = 34* 168/95.2
YK =60
We want to find VK
VK = VY+YK
= 34+60
=94 cm
The number of feet in the length of the handrail is 17.3 ft.
The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle
The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft turned through 270°= (3/4) of a whole revolution
(3/4) (2pi) (3) = (9/2)pi ft = 4.5 pi ft
The side of the rectangle will be the rise of the staircase = 10ft
And the diagonal of the rectangle will be the length of the handrail
We can use the Pythagorean Theorem to solve this
Handrail length = √ [ (4.5 pi)^2 + 10^2 ] ≈ 17.3 ft
Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Learn more about the Pythagorean theorem here: brainly.com/question/343682
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Answer:
No
Step-by-step explanation:
The set contains 2 different ranges for 1 domain. In this case, X = 1 returns 5 and -3, meaning it cannot be a function.
Answer:
English time + Math Time = 6 7/8 + 1 4/8 = 7 7/8+4/8 = 8 3/8
8 3/8 - Science time = difference = 8 3/8- 3 1/6 = 5 5/24
She spent 5 5/24 days more on her English and Math test than Science
Step-by-step explanation:
