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
kogti [31]
3 years ago
14

In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the l

argest circle that passes through A and G. Each of the diameters of the small circles with centers B and F equals the radius of the medium-sized circle with center D. The shaded area is what fraction of the largest circle?Single choice. ​

Mathematics
1 answer:
mestny [16]3 years ago
3 0

9514 1404 393

Answer:

  5/8

Step-by-step explanation:

The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.

Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.

The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.

You might be interested in
How do you write 39.06 in word form
Artemon [7]
Thirty-nine and six hundredths 
8 0
3 years ago
Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o
tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

7 0
3 years ago
how much time will it take a car to travel 60 kilometers if the car is traveling at an average speed of 40km/hr?
lbvjy [14]

In the question, we are given with speed of a car and the distance it have to travel.

Given:

  • Speed of the car = 40 km/hr.
  • Distance to travel = 60 km

So, we can say that in 1 hour, the car can travel 40 km. And we have to find the time taken by the car to travel 60 km.

This can be easily done by using the Speed, Distance and Time formula which says:

\large{ \boxed{ \bf{Distance = Speed \times Time}}}

So, let's solve by using this formula.

⇛ s = v × t

⇛ 60 km = 40 km/hr × t

⇛ t = 60 km / 40 km/hr

⇛ t = 3/2 hr.

⇛ t = 90 mins or 1 1/2 hours

So, time the car will take to travel 60 km:

\large{ \boxed{ \bf{ \purple{t = 1  \dfrac{1}{2} hr}}}}

And we are done !!

#CarryOnLearning....

<u>━━━━━━━━━━━━━━━━━━━━</u>

7 0
3 years ago
Sorry for the bother help plz
Zepler [3.9K]

(6a^2)^3

6^3(a^2)^3

216(a^2)^3

216a^6

Answer: 216a^6

3 0
3 years ago
Read 2 more answers
3 times a number m use a equation plz
lawyer [7]

Answer: 3m

Step-by-step explanation:

You're multiply 3 by m. Since this isn't possible unless you have m's value, you must write the expression as 3m.

7 0
3 years ago
Other questions:
  • Celia bought a bag of 12 goldfish for $3. What is the cost of 1 goldfish?
    6·1 answer
  • What’s it mean about how angles change when you rotate them?
    11·2 answers
  • What is the relationship between
    8·2 answers
  • Jane flies 3,500 miles in 9 hours. what is the average speed of her airplane?
    8·1 answer
  • Explain when the median of a data set is a better<br> measure of center than the mean.
    12·2 answers
  • a warehouse worker ships 9 boxes each day. Every box must contain 3 shipping labels .How many shipping labels does the worker ne
    9·2 answers
  • The two rectangular prisms shown have bases with the same area. the height of Y=6 cm. The height of Z=24. Which statement is tru
    9·2 answers
  • Albie wants to build a ramp from his porch to a point on the ground 4 feet away from the base of the porch. What is the length,
    6·2 answers
  • What are the ordered pairs of the solutions for this system of equations? y = -x2 + 2 y = x​
    10·1 answer
  • Question 7 (1 point)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!