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.
Find the value of 15/4 ÷ 5/8.
Step-by-step explanation:
15/4 ÷ 5/8
15/4×8/5
3×2
=6
Answer:
6
Step-by-step explanation:
A color document measures 10 by 15 inches. It must be reduced so that the longest side measures 3 inches. What will the dimensions of the document be once it is resized?
Answer:
C
Step-by-step explanation:
Which numbers from the list below are irrational numbers?
Your answer:
fraction numerator square root of 3 over denominator 7 end fraction
square root of 2.3 end root
8.5353...
fraction numerator negative 2 over denominator 5 end fraction
Answer:
1st and 2nd option are the correct answers.
Solve the simultaneous equations
5x + y = 11
3x - y = 9
Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
To know more about equations click here
https://brainly.com/question/20380548
#SPJ2
If a total of 100 people bought drinks at the
stadium on Monday, how many could be expected to
have ordered a small, medium or a large?
Answer:
33.33333
Step-by-step explanation:
You really don't know what they could've ordered, just divide by 3, to get an average of each.
the distance from Portland to Seaside is 75 miles what is the distance in inches on the map which scale of 1.25 in:25 mi
I also need help with this other one
the distance between Portland to Seaside is 75 miles what is the distance in inches on the map with a scale of 1.25 in:25mi
Answer:
1.25in/25mi = x/75mi
25x = 93.75
x = 3.75
3.75 inches
10x + 4x 3 – 4 Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
Work out the cheapest way to buy 48 cans of cola
Answer:
Where is the image? I did something like this so if you are looking for that answer they are both the first one.
For what equations below is x = -3 a possible equation select three options
Answer:
x3-6x-9=0
Step-by-step explanation:
x=-3
-27+18-9=0
0=0
y=6x-14 & y=-2x+34 solved in the substitution method
Answer:
x = 6.125
Step-by-step explanation:
y = -2 + 34
so
-2x + 34 = 6x - 15
+2x +2x
34 = 8x - 15
+15 +15
49 = 8x
x = 6.125
plz mark as brianliest if correct!!!
#6thgrademath plz help
Answer:
Check pdf
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
40,404x40=1,616,160
57,616x40=2,304,640
2,304,640-1,616,160=688,480
I need help plssssssss
Answer: x = 0
is basically
What is the solution of the equation?
1/3y = 4 5/6
PLEASE HELP!!!!
Identify the following
Answer:
definitions
Step-by-step explanation:
central angle
interior angle
diameter
chord
tangent
arc
Ryan bought a brand new car for $18,000. It's value depreciated at a rate of 1.2% write a function to represent the value of the car as a function of time
Answer:
gds
Step-by-step explanation:
hgfdz
b
Need step to step answer
(2.7×10^-3) ÷ (9×10^7)
Answer:
243,000
Step-by-step explanation:
(2.7×10^-3) ÷ (9×10^7) | Given (thanks for proper formatting :')
(2.7 × 0.001) ÷ (9 × 10,000,000) | Start with exponents
0.0027 ÷ 90,000,000 | Multiply what's in the parenthesis
243,000 | Divide these numbers
Find the value of x.
A) 3 √3
B) 6 √3
C) 12 √3
D) 6
Answer:
x=6√3
Step-by-step explanation:
I hope this helps.
Answer:
use trigonometric ratios. I think you use tan whereby tan is opposite over adjacent. the opposite side is X and the adjacent side is 6 . we looking for X you gonna calculate
X=6tan60
=6√3
How do I solve this?
I have the answer but what is the step-by-step explanation.
-7 = 1 + 2/3n
Subtract 1 from both sides:
-8 = 2/3n
Multiply both sides by 3:
-24 = 2n
Divide both sides by 2:
N= -12
Answer:
n=-12
Step-by-step explanation:
Okay this isn't to hard first in the equation you must subtract 1 from both sides
So this: -7=1+2/3n
Becomes This: -8=2/3n
Then I divided by 2 on both sides to get:-4=1/3n
Then I multiplied by three to get -12=n
Let me know if you're still confused
Jerry solved the equation 2x-4=20 by adding four 1-tiles to each side. Explain why Jerry's method works.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation : 2x-4=20
By adding 4 1 - tiles to each side, this will eleminate the constant term on the left hand side where the Coefficient we wish to solve for lies. Hence, the same exact treatment given to data on the right hand side is done to the data in the left. Hence, the method will work as it will give ;
2x - 4 = 20
2x - 4 + 4 = 20 + 4
2x = 24 ( constant eliminated)
x = 24/4
x = 6
what is the sum of the measures of the angles of a convex quadrilateral? will this property hold if the quadrilateral is not convex?
Answer:
The sum of the measures of the angles of a convex quadrilateral is 360° as a convex quadrilateral is made of two triangles. Yes, this property also holds true for a quadrilateral which is not convex. This is because any quadrilateral can be divided into two triangles.
URGENT !!!!! Please answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!!
Answer:
142.5 in^2
Step-by-step explanation:
First, find the area of the rectangle
19*10= 190
Now find the area of the triangle
A=1/2bh
A=1/2(19)(10-5)
A=47.5
Since we need the shaded region, subtract the triangle area from the rectangle area
190-47.5=142.5
4,6,9, ...
Find the 8th term.
Answer:
39
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
the answer is going up by the numbers 1,2,3,4...
you start with 4 and go up by 2
you then get 6 that's when you count up 3
you get 9 and then count up 4
which is 13 count up 5
18 count up 6
24 count up 7
31 count up 8
39
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• absolute value of 1
(worth 100 pts
Answer:
Step-by-step explanation:
since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.
the absolute value of 1 is 1.
so it is 1 unit above sea level
|_._._._._._._._._._._._|
-5,-4,-3,-2,-1,0,1,2,3,4,5
^
||
Answer:
If on a number line, to the right of zero but if not and you're trying to oppose it, it's -1.
Step-by-step explanation:
Which statement is best supported by the information in the box plots?
A. The interquartile range for Orchard G is greater than the interquartile range for Orchard H
B. The median number of baskets harvested from trees in Orchard G is less than the median number of baskets harvested from trees in Orchard H.
C. The minimum number of baskets harvested from trees in Orchard H is less than the minimum number of baskets harvested from trees in Orchard G.
D. The data for Orchard H are more symmetrical than the data for Orchard G.
Answer:
B is the correct
Step-by-step explanation:
choose as brinliest
find the cost of 24 opera tickets at 112 each
Answer:
2688
Step-by-step explanation:
Answer:
The answer is - 2688
Step-by-step explanation:
24×112=2688
Neal buys a board game. He pays for the board game and pays $1.54 in sales tax. The sales tax rate is 5.5%.What is the original price of the board game, before tax?
Answer:
28
Step-by-step explanation:
1.54 divided by 0.055 = 28
What is a quadratic function that has zeros of x=-1 and x=-2?
Write in factored form.
Answer:
f(x) = (x + 1)(x + 2)
Step-by-step explanation:
Zero x = -1 corresponds to factor x + 1, and zero x = -2 to x + 2. Thus, the quadratic in question is
f(x) = (x + 1)(x + 2)
Gerald recorded the gains and losses for each play on the football field. Gains were marked with a + and losses with a –. Play 1 2 3 4 Yards +4 –6 –2 +3
Answer:
Play 3
Step-by-step explanation:
Given:
[tex]\left\begin{array}{ccccc}{Play}&{1}&{2}&{3}&{4}&{Yards}&{+4}&{-6}&{-2}&{+3}\end{array}\right[/tex]
Required [Missing from the question]:
Determine the play with the least change in yard?
To do this, we ignore the sign in front of each yard before we analyze.
So, we have:
Play 1 has a change of 4
Play 2 has 6
Play 3 has 2
Play 4 has 3
From the above analysis, play has the least (which is 2)
Using the information provided, identify the
domain and range.
I really need help I don’t understand this
Answer:
Domain: x>=-5
Range: y>=-6
Step-by-step explanation:
Please give me the correct answer.Only answer if you're good at math.
answer:
the 1st hour is 14 euros and each hour after that is 2 euros
step-by-step explanation:
so usually when renting something there is an upfront fee you have to pay first. in this case, that fee is 14 euros. now, sometimes you also have to pay a relatively small amount of money for each hour you're using it, in your case that is the 2 euros.
good luck :)
hopefully, this helps
have a great day !!
Answer:
The first hour is 14 euros and each hour after that is 2 euros.
Step-by-step explanation:
I hope I get brainliest. I answered without looking at the other person's answer. I just want to help.