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Define x :
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Let the number be x.
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Construct equation:
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<span>Nine more than the product of 4 and the number is 73
</span>⇒4x + 9 = 73
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Solve for x:
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4x + 9 = 73
4x = 73 -9
4x = 64
x = 16
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Answer: Ken's number is 16.
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All this is, is plugging in numbers. Then taking the square root of it. The first one would be the square root of 6 squared - 4(5)(-3). That would simplify to the square root of 36+60. Then add the numbers to get the square root of 96. The square root of 96 is about 9.798. I hope that helped. If you still need help with the second one or with the rest of the formula (if there is one) just ask!
Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
The total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.
Given :
- Lillian multiplies two numbers.
- A has five significant figures and two decimal places and B has six significant figures and four decimal places.
The following steps can be used in order to determine the total number of significant figures of C:
Step 1 - According to the given data, 'A' has five significant figures and two decimal places and 'B' has six significant figures and four decimal places.
Step 2 - It is also given that C is equal to A times B.
Step 3 - So, the total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.
Therefore, the correct option is C).
For more information, refer to the link given below:
brainly.com/question/11904364
