A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle.
True or false??
Given:
The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."
To find:
Whether the given statement in true or false.
Solution:
Area of circle is
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is
[tex]A_1=\pi (r_1)^2[/tex]
The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:
[tex]r_2=1.5r_1[/tex]
The area of the new circle is
[tex]A_2=\pi (r_2)^2[/tex]
[tex]A_2=\pi (1.5r_1)^2[/tex]
[tex]A_2=2.25\pi (r_1)^2[/tex]
[tex]A_2=2.25A_1[/tex]
The area of the new circle is 2.25 times the area of the original circle.
Therefore, the given statement is false.
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
Answer:
X= - 2
Step-by-step explanation:
-3 (5x+6) - 3x = 6-6x
Remove the parentheses
-15x-18-3x=6-6x
Collect the like terms
-18x-18=6-6x
Move the variable to the left-hand side and change its sign
18x+6x=6+18
Collect the like terms
-12x=24
Divide both sides
X=-2
need help ASAP.
what is the best estimate for the value of the expression?
Answer:
11
Step-by-step explanation:
u do 4x5 which is 20
Which figure will this net make
Answer:
C
Step-by-step explanation:
Rectangle base, tiny triangle sides, but rectangle top
Sam paid £8 for two footballs.
One football cost £2 more than the other
What was the cost of the more expensive football?
[2 marks]
Answer
Answer:
£6 you do £8-£2= £6
Step-by-step explanation:
Answer:
£8-£2=£6
Step-by-step explanation:
PLZ HELP!!!I’m having trouble
Answer:
41.41
Step-by-step explanation:
cosA=6/8=3/4
I used a calculator
What is 48901x120412/12321 with a fraction of 6/9 + 29181041/21841x2912311203? It was one of my math questions couldn't find it online soooo??
4468886443222234578889953
A AAS THEOREM
B CPCTC
C SAS POSTULATE
D ASA POSTULATE
Answer:
sorry i need the points UQIWBSJSVVS
Solve −3(7n+3)<6n. Write the solution using set-builder notation.
The set builder notation of the inequality - 3(7n + 3) < 6n is,
{n : n ∈ R, n > - 3 }.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality - 3(7n + 3) < 6n.
Now, distributing the terms we get,
- 21n - 9 < 6n.
- 21n - 6n < 9.
- 27n < 9.
27n > - 9. (Think of moving the variable to the other side to make it
positive).
n > - 27/9.
n > - 3.
learn more about inequalities here :
https://brainly.com/question/28823603
#SPJ2
Can someone identify this
Answer:
no entindendol ingels
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
square 6, which is 36. then square 10, which is 100. then do:
100-36=64
take the square root of 64, which is 8.
What is the value of x?
Answer:
25
Step-by-step explanation:
Each week, Steven gets an allowance of $8 plus $3 for each chore he does. His younger sister Jill gets an allowance of $6 plus $2 per chore. Write an expression for how much their parents give Steven and Jill for each week if they do the same number of chores.
Answer:
23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
. A fishing bobber has a radius of 0.5 inch. Find the volume of the fishing bobber. Round your answer to the nearest tenth.
Given:
The radius of the fishing bobber = 0.5 inch.
To find:
The volume of the find bobber.
Solution:
We know that the shape of fishing bobber is a sphere.
The volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Substitute r=0.5 and [tex]\pi=3.14[/tex] to find the volume of the fishing bobber.
[tex]V=\dfrac{4}{3}(3.14)(0.5)^3[/tex]
[tex]V=\dfrac{4}{3}(3.14)(0.125)[/tex]
[tex]V=0.52333...[/tex]
Approx the value to the nearest tenth.
[tex]V\approx 0.5[/tex]
Therefore, the volume of the fishing bobber is 0.5 cubic inches.
Giving brainliest to whoever comments the right answer first
Answer:j
Step-by-step explanation:
PLS PLS HELP ME IM BEGGING YOU, PLEASE DONT ANSWER IF YOU DONT KNOW. THIS IS IMPORTANT PLEASE
Answer:
B = 12.8 cm (to 1.d.p)
D = 24.1 cm (to 1.d.p)
Step-by-step explanation:
Using Pythagoras Theorem:
B: 4^2 + 3.5^2 = 28.25
square root 28.25 = 5.3 (to 1 decimal place) so this is the length of the missing side.
To find perimeter add sides a, b and c so...
perimeter of triangle B = 12.8 cm (to 1 decimal place)
D: 10^2 - 6.5^2 = 57.75
square root 57.75 = 7.6 (to 1 decimal place) so this is the length of the missing side.
To find perimeter add sides a, b and c so...
perimeter of triangle D = 24.1 cm (to 1 decimal place)
^2 indicates squared
Sorry but I'm not too sure / confident about A or C
What is the equation of a line when the slope is -1/2 and the y-intercept is 0.
Answer:
y = -1/2x + 0
y = mx+b
Step-by-step explanation:
2 1/4 times 2 1/2
SHOW YOUR WORK!!!
Answer:
45/8 or 5 5/8
Step-by-step explanation:
2 1/4. 2 times 4 is 8 plus 1 is 9 (9 over 4 (9/4)). 2 1/2. 2 times 2 is 4 plus one is 5. (5 over 8 (5/2)). 9/4 x 5/2. 9 times 5 is 45, 4 times 2 is 8. you get the improper fraction 45/8. 45 simplified is 5 5/8. hope i helped.
Answer:
45/8 or 5 5/8
Step-by-step explanation:
When multiplying fractions, it ALWAYS so much easier to make them into improper fractions (for me at least). When doing this, multiply the denominator to the whole number and add the numerator and keep the denominator the same. So, for 2 1/4, you could use the equation 2(4) + 1 = x/4. You should get 9/4. Doing this for the other mixed fraction, you get 5/2.
Multiplying fractions is pretty straightforward after that. You don't have to change the denominators to match each other like you do when adding, instead you just multiply straight across. Multiply both of the numerators and then the denominators.
Numerators: 9 x 5 = 45
Denominators: 4 x 2 = 8
So, you get 45/8. If you're wanting a mixed number fraction, just divide 45 by 8. 8 goes into 40 5 times, and you get a left over number 5. Therefore, as a mixed fraction you get 5 5/8.
I don't know how you wanted me to show my work, but I tried the best I could to explain.
The top of a ramp is 4 feet above the ground. The ramp makes a 21.3 degree angle with the ground. What is the length of the ramp
Answer:
Total ramp system length in feet: Includes the minimum number of 5′ x 5′ resting platforms and the 5′ x 5′ platform at the top of the ramp.
Step-by-step explanation:
hope this helps!
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
Answer:
x=-2
Step-by-step explanation:
add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...
What is the slope of the equation that passes through the points
(-5,4) and (5,2) ?
Answer:
[tex] - \frac{2}{10} [/tex]
or
-0.2
Multiple Choice
Look at the graph.
The graph shows a line through the points left parenthesis negative 1 comma negative 2 right parentheses and left parenthesis 2 commas 1 right parenthesis.
The slope of the line is _______.
A. positive
B. negative
C. zero
D. undefined
Answer:
the slope is POSITIVE (answer A)
Step-by-step explanation:
The line goes through: (-1, -2) and ( 2, 1)
Then the slope can be calculated as:
slope = (y2 - y1) / (x2 - x1)
in our case:
slope = (1 - -2) / (2 - -1) = (1 + 2) / (2 + 1) = 3 / 3 = 1
Therefore, the slope is POSITIVE (answer A)
If both the base and height of the triangular base are doubled, the area of the base is multiplied by what
Answer:
the area is multiplied by 4
Step-by-step explanation:
ex. i did height and base both are two the area is two
then if both are 4 then the are is 8
I checked with base and height = 4, area = 8
base and height = 8, area =32
math pls help and thanks
Answer:
Is red 3.33 triangle
What is the following product?
Answer:
the image is not opening
Answer:
The answer is the third one :)
Step-by-step explanation:
I don't know how to explain it sorry
There are 15 neon tetras and 12 betta fish in a fish tank. What is the ratio of betta fish to the total number of fish? Write the ratio on simplest form.
hint Read the question very carefully, notice the phrase "total number of fish"
need help
Answer:
12:27
Step-by-step explanation:
Apply the distributive property to create an equivalent expression 4(x-2+y)
Answer:
4 * x
4 * -2
4 * y
4x-8+4y
Step-by-step explanation:
Answer:
4x+4y-8
Step-by-step explanation:
(✿◡‿◡) <-- she wants Brainliest
Joe is 6 feet tall and cast a 3 foot shadow. He is standing next to a building that cast a shadow that is 20 feet long. How tall is the building.
Answer:
40 feet
Step-by-step explanation:
Answer:
40 feet tall
Step-by-step explanation:
6/2 =3
?/2 =20
*2 *2
? = 40
you do inverse operations because 6 divided by 2 is 3... the ? is the variable for how tall the building is... ? divided by 2 = 20 so you multiply 2 and 20 to get the total height
find the area of the following triangle and write your result in the empty box
Answer:
Step-by-step explanation:
Area = 1/2bh
since b = 10in and height = 6in
then
1/2 x 10 x 6
= 30
Answer:
Area = 1/2bh since b = 10in and height = 6in next you do 1/2 x 10 x 6 = 30
What are the next three terms in the sequence? -112, -129, -146, ___________
Explain your answer.
Answer:
-163, -180, -197
Step-by-step explanation:
-146--129=-17
the difference of them is 17 so keep adding it
Which expression is equivalent to 4a+2b
A.a+a+a+a+b+b
B. 4+2+a+b
C.6(a+b)
D.4+a x 2+b
Answer:
Answer is A
Step-by-step explanation:
a+a+a+a+b+b =4a+2b