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
puteri [66]
3 years ago
8

Lin and Tyler are drawing circles. Tyler’s circle has twice the diameter of Lin’s circle. Tyler thinks that his circle will have

twice the area of Lin’s circle as well. Do you agree with Tyler?
Mathematics
2 answers:
earnstyle [38]3 years ago
6 0
The answer would be No

Please thank
tatuchka [14]3 years ago
5 0

Answer:

No, tyler is wrong, his circle´s area has  four times the Lin’s circle area.

Step-by-step explanation:

Hello

Let's remember this about a circle

the area is given by:

A=\pi r^{2}

where r is the radius

and the diameter

D=2r\\isolating \ x\\r=\frac{D}{2}\\

Step 1

according to the question Tyler’s circle has twice the diameter of Lin’s circle,in other terms

Let

Tylers \ diameter\ (D_{1})  =2\ times\ Lins\ circle(D_{2})\\\\

D_{1}=2D_{2}

Step 2

find the areas

Area of Tyler’s circle

A_{1}=\pi  *r_{1} ^{2}

replacing

let r_{1}= Tyler’s circle radius

r_{1}=\frac{D_{1} }{2}  \\A_{1}=\pi  *r_{1} ^{2}\\A_{1}=\pi  *(\frac{D_{1} }{2})^{2}\\A_{1}=\pi *\frac{D_{1}^{2} }{4}

let\ r_{2}= Lin\ circle\ radiusr_{2}=\frac{D_{2} }{2}  \\A_{2}=\pi  *r_{2} ^{2}\\A_{2}=\pi  *(\frac{D_{2} }{2} )^{2}\\A_{2}=\pi *\frac{D_{2}^{2} }{4}\\\\

Now, from

D_{1}=2D_{2}\\so\\\D_{2}=\frac{D_{1} }{2}  \\

replacing

A_{2}=\pi *\frac{D_{2}^{2} }{4}\\A_{2}=\pi *\frac{(\frac{D_{1} }{2}) ^{2} }{4}\\\\\\

step 3

compare the areas

A_{1}=\pi *\frac{D_{1}^{2} }{4}\  and\ A_{2}= \pi *\frac{D_{1}^{2}}{16}\\\frac{A_{1}}{A_{2}} =\frac{\pi *\frac{D_{1}^{2} }{4}}{ \pi *\frac{D_{1}^{2}}{16}}\\\frac{A_{1}}{A_{2}} =4\\hence\\A_{1}=4 A_{2}

this means that  tyler is wrong, his circle´s area has  four times the Lin’s circle area.

Have a great day

You might be interested in
The city planning commission has been given a budget of 300,000 if the density of concrete is 150 lbs/ft3 determine if the cpc c
Romashka [77]

Answer:

Check Explanation

Step-by-step explanation:

The volume of concrete required to build the bridge is missing and should be provided.

In its absence, let us assign a letter to it.

Let the volume of concrete required to build the bridge be V ft³.

And we further assume that the concrete is the only major material needed to build the bridge for the sake of our question.

Density = (mass/volume)

Density = 150 lb/ft³

Mass = ?

Volume = V ft³

Mass = (Density) × (Volume)

Mass of concrete required = 150 × V = (150V) lb

Cost of concrete is 0.80 per lb

1 lb of concrete costs 0.80

150V of concrete will cost 150V × 0.80 = (120V) currency amount.

Now, depending on the value of V, we can now determine if the city planning commission (cpc) can afford the bridge.

If 120V > 300,000 budget, the cpc cannot afford the bridge, but if 300,000 budget > 120V, then the cpc can afford the bridge.

Hope this Helps!!!

7 0
3 years ago
If Trae Young's free throw percentage is 82%, what is the probability that he will make 2 free throws in a row. ** Remember P(A
zaharov [31]

Answer: c

Step-by-step explanation:

Because Giannis is better

8 0
3 years ago
The formula for computing compound interest for a principal P that is invested at an annual rate r and compounded annually is gi
maria [59]

9514 1404 393

Answer:

  • r ≈ 6%

Step-by-step explanation:

Solving for r when n=2, we have ...

  A=P(1+r)^2\\\\\dfrac{A}{P}=(1+r)^2\\\\\sqrt{\dfrac{A}{P}}=1+r\\\\\boxed{r=\sqrt{\dfrac{A}{P}}-1}

For the given values of A and P, the value of r is ...

  r=\sqrt{\dfrac{5600}{5000}}-1=\sqrt{1.12}-1\approx 1.0583-1\\\\\boxed{r\approx 6\%}

8 0
3 years ago
PLEASE HELP ASAP
cupoosta [38]

Answer: b

Step-by-step explanation: The graph shows that the maxiumum x is -1 and it can go lower. You plug them in and b is the right answer.

7 0
3 years ago
I need help on 14 please
Fynjy0 [20]
2+x=50

That is what I would do. I hope this helps!
8 0
3 years ago
Read 2 more answers
Other questions:
  • F(x) = |2x-3| <br><br> find f(x) = 15
    14·1 answer
  • The function f(x) is shown on the graph.
    12·2 answers
  • For one binomial experiment, n1 = 75 binomial trials produced r1 = 30 successes. For a second independent binomial experiment, n
    7·1 answer
  • Leeza is 6 years older than two times her brother Sammy’s age. Let s represent Sammy’s age.
    10·2 answers
  • PLEASE HELP ME I WILL GIVE EXTRA POINTS AND BRAINALIST TO THE FIRST PERSON
    7·2 answers
  • Houses cost £150 000 one year ago they now cost £_____this is a 25% increase
    11·2 answers
  • The menu at the restaurant has 2 soups, three salads, 5 main entrees, and 3 desserts. How many people can eat at the restaurant
    6·1 answer
  • Alexa is working two summer jobs, making $22 per hour tutoring and making $13 per hour landscaping. In a given week, she can wor
    6·2 answers
  • If the Fed's reserve requirement is 5 percent, then what quantity of excess reserves does the Bank of Cheerton now hold?
    10·1 answer
  • HELP ME, SOMEONE AND ANYONE I NEED YOUR HELP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!