1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Varvara68 [4.7K]
3 years ago
11

The radius of circle O is 28, and OC =9. What is the length of AB?

Mathematics
1 answer:
aksik [14]3 years ago
7 0
The answer:
the complement of the question proposed one of the choices given beneath:
a) 58.8
b) 53.0
c) 29.4
d) 26.5

as we observe at the figure, AOB an isosceles triangle, and OCB is a right triangle

consider OCB
OC =9, OB= radius = 28
the problem is how to find the length of CA, for that C is a midpoint of segment AB, so AC=BC

BC can be found by using pythagorean theorem
OB²= OC² + CB²,  this implies CB² = OB² - OC²

CB² = 28² - 9² = 784 - 81=703, therefore CB= sqrt (703)=26.51

CB=26.51, since CB= AC, so  AC=CB= 26.51

finally the <span>the length of AB is AB = 2 x CB = 2x AC= 2x 26.51= 53.0
</span>
the answer is b) 53.0

You might be interested in
A doctor orders 150 mg of aspirin to be taken by 12.4 Ib infant every 9 hours. How many mg of the drug does the infant take in 3
andreev551 [17]

Answer: 600 mg in 36 hours.


Step-by-step explanation:

1. Divide 36 by 9, so you know how many times the infant has to take the medicine. 36/9=4

2. Multiply 150x4 because the infant has to take 150 mg, each dosage. 150x4=600.

3. Your final answer is 600 mg. (You did not need the infant's weight in this problem. So, that's why it was not worked in.)

Hope this helps. :)

8 0
4 years ago
The first three terms of arithmetic progression are -5,-1 and 3.Find the six term.​
vodomira [7]

Answer:

15

Step-by-step explanation:

The pertinent general formula for this arithmetic progression is

a(n) = a(1) + d(n - 1), where d is the common difference.  That difference is d = 4.

Here, a(n) = -5 + 4(n -1)

Therefore, a(6) = -5 + 4(5) = 15

8 0
3 years ago
Read 2 more answers
Expanded Form and Area Model- Compare the two methods. How were those methods different? Explain which model you found most help
lisov135 [29]
On expanded form is for example 139 in expanded form would be (100)+(30)+(9)and area model is the model for multiplication
4 0
3 years ago
The mean length of 4 childrens' big finger is 4.2cm. The mean length of 4 adults' big finger is 12.7cm. What is the mean length
fomenos
12.7 cm
Jkkssiss
Meieosaaa
6 0
3 years ago
What is the area of this
Zina [86]
The figure has already been split into 3 shapes, a rectangle, a trapezium, and a triangle. I will show you how to get the area of each, so we can add it together at the end.

Rectangle:
The rectangle is fairly simple, just multiply 9 and 16 together to get 144 in².

Triangle:
Again, the triangle is pretty simple. The area of a triangle is (base × height)/2, so you do (31 × 20)/2 = 620/2 = 310 in².

Trapezium:
To find the area of a trapezium, you first add the two widths, which are 16 and 31, and then you divide it by 2. You then multiply that value by the height. 16 + 31 = 47, and 47 ÷ 2 = 23.5.
The height would be 35 (the total length of the shape) - 20 (the height of the triangle) which is 15, so 23.5 × 15 = 352.5 in².

Now we add them up, so 144 + 310 + 352.5 = 806.5 in², which is your final answer.

I hope this helps!
8 0
4 years ago
Other questions:
  • This is only the first question out of many
    9·1 answer
  • A basketball gymnasium is shaped like a rectangular prism. Which units are the most reasonable to use when measuring the volume
    9·1 answer
  • Complete the calculations below to write equivalent fractions, with a common denominator.
    13·1 answer
  • What is the median of the data set?
    6·1 answer
  • Roman packed 6 boxes of clothes for donation. Each box had 17 shirts and 12 pairs of pants. How many more shirts than pants did
    5·1 answer
  • Select the correct answer.
    6·2 answers
  • Slove the system of linear equations by graphing y=-x+7 y=x-1
    8·1 answer
  • 5Ib package of chicken costs 6.00. What is the cost per pound
    9·2 answers
  • Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of g
    11·1 answer
  • Which number is an irrational number?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!