answer.
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
tigry1 [53]
2 years ago
8

The circumference of the circle in the above figure is 128 ft. What is the length of AB?

Mathematics
2 answers:
9966 [12]2 years ago
7 0

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Circumference of circle = 128 ft

So, as we know the formula for "Circumference of circle":

C=2\pi r=128\ ft

We need to find the length of an arc AB.

As we know that the formula for "Length of an arc":

Length=\frac{\theta}{360\textdegree}\times 2\pi r\\\\L=\frac{45\textdegree}{360\textdegree}\times 128\\\\Length=16\ ft

Hence, Option 'A' is correct.


mestny [16]2 years ago
4 0
To answer this question, you should set up a proportion: central angle/360 = arc length/circumference where the central angle = 45 and circumference = 128 ft. After you cross multiply, you should find that the arc length of AB equals 16 ft, which is A.
You might be interested in
Anita is a door-to-door saleswoman for a company selling bedcovers. The company pays her a fixed salary of Rs W every month and
lorasvet [3.4K]

Given:

Anita's fixed salary = Rs. W

Bonus = Rs. Z for every bedcover sold by her.

To find:

Her total earnings if she sold 46 bedcovers.

Solution:

We have,

Bonus if she sold 1 bedcover = Rs. Z

Bonus if she sold 46 bedcover = Rs. Z × 46

We know that,

Total earnings = Fixed salary + Bonus

                        = W+Z\times 46

Therefore, the correct option is (b).

3 0
1 year ago
In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achi
lubasha [3.4K]

Answer:

Shift 2 unit left

Flip the graph about y-axis

Stretch horizontally by factor 2

Shift vertically up by 2 units

Step-by-step explanation:

Given:

Parent function: f(x)=\log x

Transformation function: f(x)=\log(-2x-4)+2

Take -2 common from transform function f(x)

f(x)=\log[-2(x+2)]+2

Now we see the step-by-step translation

f(x)=\log x

Shift 2 unit left ( x → x+2 )

f(x)=\log(x+2)

Flip the graph about y-axis ( (x+2)  → - (x+2) )

f(x)=\log[-(x+2)]

Stretch horizontally by factor 2 [ -x(x+2) → -2(x+2) ]

f(x)=\log[-2(x+2)]

Shift vertically up by 2 units [ f(x) → f(x) + 2 ]

f(x)=\log[-2(x+2)]+2

Simplify the function:

f(x)=\log(-2x-4)+2

Hence, Using four step of transformation to get new function f(x)=\log(-2x-4)+2

3 0
1 year ago
Read 2 more answers
Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason
Alina [70]

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

8 0
1 year ago
Frans filing cabinet is 6 feet tall 1 1/3 feet wide and 3 feet deep. She plans to paint all sides except the bottom of the cabin
aleksley [76]
Well you are look at a 3d image here 
so if area is length times width then we need to find the area of every side of the cabinet and add it up     
11/3 on the calculator is 3.66666667 sooooo....
top: 3 x 11/3 = 11
side 1: 3 x 6 = 18
side 2: 3 x 6 = 18 
front: 6 x 11/3 = 22
back: 6 x 11/3 = 22
so we have all of our measurements:)
now we just add them up together. 
11+18+18+22+22= 91!!
so Frans would have to paint 91 square inches of that cabinet:) hope i helped
6 0
2 years ago
The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end in feet
Natali [406]
72 is the length d of how deep end in feet}
6 0
1 year ago
Other questions:
  • You just obtained a credit card. You immediately purchase a digital camera for $160. Your credit limit is $4000. Let’s assume th
    7·1 answer
  • David opened a coffee shop and sold 60 mochas the first day at $2 per cup. He wants to increase the price per cup to increase hi
    11·2 answers
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
    12·2 answers
  • A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink
    10·2 answers
  • The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x +2 y = 5x + 2
    13·2 answers
  • Arrange the investment in order from the highest risk and return potential to the lowest risk and return potential
    7·1 answer
  • Which integer represents 50 degrees below zero?
    15·2 answers
  • Juan told Sylvia he got a $0.50 raise this week and his new hourly rate will be $10.25 an hour. Sylvia wants to know what Juan’s
    7·2 answers
  • A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute.
    10·2 answers
  • HELP ME ASAP IF U CAN!!! a baker needs sugar syrup that is 40% sugar how many gallons of water shoud he add to 5 gallons of 70%
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!