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kobusy [5.1K]
3 years ago
9

A triangle OAB is formed where O is the centre of a cricle of radius 12cm, and A and B are endpoints of a 15cm chord. find the a

ngle subtended at the centre of the circle, in degrees and minutes

Mathematics
1 answer:
suter [353]3 years ago
3 0
We are asked to solve for the angle AOB and we are given with the following values:
radius = 12 cm
length of AB = 15 cm

We can solve for angle AOC such as shown below:
sin AOC = opposite/hypotenuse
sin AOC = 7.5/12
∠AOC =38.68°

The angle subtended at the center of the circle is just twice of ∠AOC, then we have:
∠AOB = 38.68° x 2
∠AOB = 77.36°

The answer is 77° 21' 51.75".

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lawyer [7]

Answer:

#1 c. -1

#2 b. 1 is less than or equal to x which is less than or equal to three

#3 a. 37.5 is less than or equal to y which is less than or equal to 87.5

#4 b. 3

#5 b. (2, 3, 4, 5, 6)

#6 d. (45, 55, 65, 75, 85)

Step-by-step explanation:

Domain is the x value and y is the range. For #1 the answer is c because you can't go golfing for -1 hours. For #2, the answer is b because they are all the acceptable values for the domain which is represented by x and x is the time spent at the golfing bay. The answer would not be c because you could go to the bay for 2.75 hours it doesn't have to be just 1, 2, 3.  For #3 the concept is similar because the range aka total cost can be all the values in between 37.5 and 87.5. For #4  a reasonable domain value which is number of people is 3 because you can't have 2.5 people and you can't have -4 people and thus all of the above isn't possible leaving three. #5 is b because you can only have those set numbers to represent people. If you chose a that would mean you could have 1.5 people which isn't possible thus only numbers 2, 3, 4, 5, and 6 are possible. For #6 The answer is d because when you plug in numbers 2, 3, 4, 5, 6 into the x value one at a time and solve the equation, those numbers equal t. Just use your basic knowledge to figure these out there isn't much math you just have to know that domain means x and range means y. y is 9/10 always by itself on one side of the equal sign. When in doubt think, can I have a half a person. Think of the real world and apply to math. Goof luck on future problems!

7 0
3 years ago
The area of a triangle that is similar to the one below is the area of this triangle. What is the length of the base of the simi
svp [43]

The answer is 7 feet

7 0
3 years ago
Can someone help me please?
IgorLugansk [536]

Answer:

uh i dont know lol im new how do i use this thing bahahaha

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What integer is closet to n​
11Alexandr11 [23.1K]

Answer:

Rounding to the Nearest Integer

The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).

7 0
3 years ago
In a NiCd battery, a fully charged cell is composed of Nickelic Hydroxide. Nickel is an element that has multiple oxidation stat
Westkost [7]

Answer:

P(cell has at least one of the positive nickel-charged options) = 0.83.

P(a cell is not composed of a positive nickel charge greater than +3) = 0.85.

Step-by-step explanation:

It is given that the Nickel Charge Proportions found  in the battery are:

0 ==> 0.17

.

+2 ==> 0.35

.

+3 ==> 0.33

.

+4 ==> 0.15.

The numbers associated to the charge are actually the probabilities of the charges because nickel is an element that has multiple oxidation states that is usually found in the above mentioned states.

a) P(cell has at least one of the positive nickel-charged options) = P(a cell has +2 nickel-charged options) + P(a cell has +3 nickel-charged options) + P(a cell has +4 nickel-charged options) = 0.35 + 0.33 + 0.15 = 0.83.

Or:

P(a cell has at least one of the positive nickel-charged options) = 1 - P(a cell has 0 nickel-charged options) = 1 - 0.17 = 0.83.

b) P(a cell is not composed of a positive nickel charge greater than +3) = 1 - P(a cell is composed of a positive nickel charge greater than +3)

= 1 -  P(a cell has +4 nickel-charged options)  '.' because +4 is only positive nickel charge greater than +3      

= 1 - 0.15

=  0.85

To summarize:

P(cell has at least one of the positive nickel-charged options) = 0.83!!!

P(a cell is not composed of a positive nickel charge greater than +3) = 0.85!!!

8 0
3 years ago
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