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Aleksandr-060686 [28]
3 years ago
14

Two wires are connected

Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

Height of the pole  = 6 feet,

Step-by-step explanation:

We have 2 congruent right angled triangles.

The base of each triangle is  1/2 * 16 = 8 feet and the hypotenuse is 10 feet long.

By Pythagoras:

10^2 = 8^2 + h^2 where h is the height of the pole>

h^2 = 10^2 - 8^2

h^2 = 100 - 64 = 36

h = 6 feet,

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Evaluate 6+2•3-1 A) 23 B)16 C)10 D)11
Ratling [72]

6 + 2 * 3 - 1

2 * 3 = 6

6 + 6 - 1

6 + 6 = 12

12 - 1 = 11

D) 11

7 0
3 years ago
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Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
vladimir2022 [97]
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. 
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. 
Therefore:
r + y ≤ 15
r ≥ 5
We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? 
Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.
If she worked all 15 hours in the restaurant, she would make 8*15 = 120.
The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 
Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 
5*8 + 10*12 = 40 + 120 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
7 0
3 years ago
What two number multiplies to get 15 and adds to get 6
OverLord2011 [107]
Asking the Math Gods...

The factors of 15 Answer : 1,3,5,15

so 3 and 5 are the only that would get 15

therefore this problem isnt correctly written.. You can't get 6 by adding any of the factored numbers



5 0
3 years ago
What is 720° converted to radians?
Virty [35]

Answer: The correct answer is D

Step-by-step explanation:

8 0
3 years ago
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What is the radian measure for an angle that measures 720 degrees?
Scrat [10]

Answer:

720 degrees =  \frac{\pi}{4}\ radians or 0.785 radians.

Step-by-step explanation:

Given:

The angle in degrees in given as 720°

We need to convert this to radians.

Now, we know that, the relation between degrees and radians is given as:

180 degree = π radians

Therefore, using unitary method, the value of 1 degree can be calculated.

∴ 1 degree = \frac{\pi}{180}\ radians

Now, the value of 720 degrees can be calculated by multiplying the unit value and 720. So,

720\ degrees=\frac{\pi}{180}\times 720\ radians\\\\ 720\ degrees =\frac{720\pi}{180}\\\\720\ degrees =\frac{\pi}{4}\ radians=0.785\ radians

Hence, the measure of 720 degrees in radians is \frac{\pi}{4}\ radians or 0.25π radians or 0.785 radians.

6 0
4 years ago
Read 2 more answers
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