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.
PLEASE PLEASE PLEASE HELP IT IS AN EASY MATH QUESTION I NEED CORRECT ANSWERS FAST THANK YOU WHOEVER IS RIGHT AND/OR FIRST I WILL MARK BRAINLIEST THANK'S FOR HELPING!!!!
$4550 was deposited into an account compounding annually at 4% per year.
a) How much will be in the account after 9 years? Round to the nearest cent.
b) What was the interest earned? Round to the nearest cent.
Answer:
6188
Step-by-step explanation:
Answer: 6188
Step-by-step explanation:
A triangular road sign has a height of 3 feet and a base of 2.5 feet. How much larger in area is this sign than one with a height of 2.5 feet and a base of 3 feet?
Answer:
Not larger or smaller; the areas are the same
Step-by-step explanation:
Recall that the formula for the area of a triangle of base b and height h is
A = (1/2)(b)(h).
In the first case, h = 3 ft and b = 2.5 ft. This results in an area of 3.75 ft^2.
In the second case, h = 2.5 ft and b = 3 ft. The area is the same: 3.75 ft^2.
This is because A = (1/2)(b)(h) has the same value regardless of the order in which b and h are used as multipliers.
There is no difference in the areas of the two signs. The areas are the same.
HELPPPP I have no idea how to do graphhhsssss
Answer:
Follow the lines
Step-by-step explanation:
Follow what the lines go with what the table has.
To make this really easy, find the slope of the line
To do this you find an easy point.
Ex. x=3 and y= 150
then take it into a slope y-intersept formula
y= mx
150= 3x
50 = x
so for every time x goes up one interval, y increases at a rate of 50.
And for y, do the opposite, for every 50 y, x goes up 1.
By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)
y= 50x is ur slope/formula
(Ill leave the rest for you to answer with this data above ;) )
Hope This Helps :)
Which relationships describe angles 1 and 2?
Select each correct answer.
complementary angles
vertical angles
adjacent angles
supplementary angles
the image is attached
there is 12 apples 3/4 of he apples go missing how many apples are left
HELPHELPEP ITS ON SCIENCE AND IS DUE IN 30 MINS AND I HAVE NO CLUE WHAT TO DOOO
sorry for bad handwriting
Answer:
1: Moving 2:A cup of room temperature water 3:It can solidify into ice 4:The sun coming out every morning, warm air. 5:Cold air conditioning inside of a car, Night starts. 6:C 7:liquids 8: Into the leg 9:They slow down 10:smaller, slow down.
Step-by-step explanation:
Someone plz help me giving brainliest!!
Answer:
142.72
Step-by-step explanation:
In the question it states that the number in the hundreds place should be twice the number in the hundredth place.
142.72
1 is in the hundreds place. Now the value in the hundredth place should be twice the value of 1. When it say twice it says 2 times the number. 1 time 2 = 2 which would make the answer true.
Hope this helps, thank you :) !!
Polygon Y is a scaled copy of polygon X using a scale factor of 1/3. Polygon Ys area is what fraction of polygons Xs area?
Answer:
The answer is "[tex]\bold{\frac{1}{9}}[/tex]"
Step-by-step explanation:
In this question, when two figures are similar so, the ratio from its size is equal to the squared factor that are:
Scaling factor= Z
Area of Polygon Y=a
Area of Polygon X=b
[tex]z=\frac{1}{3}\\\\using \ substitution:\\\\(\frac{1}{3})^2=\frac{a}{b}\\\\\frac{1}{9}=\frac{a}{b}\\\\a=\frac{1}{9}b[/tex]
1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet
Answer:
80 square feet
Step-by-step explanation:
I hope this helps a little bit.
a rectangular picture with a perimeter of 27 cm is glued in the center of a rectangular piece of cardboard. there is a 1 cm margin (of empty cardboard) all around the picture. what is the perimeter of the peice of cardboard
Answer:
31 cm
Step-by-step explanation:
A rectangle has 4 sides.
27 cm + 4 cm = 31 cm.
The perimeter is 31 cm.
If you are confused, to find perimeter you add all the sides up. That is why I added 1 + 1 + 1 + 1 / 4.
For inches or a different measure I recommend just converting it. You never mentioned the measure so I decided with cm.
Answer:
35
Step-by-step explanation:
just because i saw a guy who commented on first answer
What is the value of the function? f(x)=(−2)^3 (3)^0 (4)^−2
Answer:
-1/2
Step-by-step explanation:
hello :
f(x)=(−2)^3 (3)^0 (4)^−2
(−2)^3 = -8
(3)^0 =1
(4)^−2 1/ (4)^2 =1/16
so : f(x) = (-8)×(1)×(1/16) = -8/16 = -1/2
X-y=4
4x+y=1 if you answer correctly I will give you Brainlist
Answer:
−
=
4
4
+
=
1
Step-by-step explanation:
help me pls and show work 8th grade math
Answer:
Find the slope this way Hanna,
Step-by-step explanation:
slope = m
m = (y2-y1) / (x2-x1)
you are given the two points
P1 = (-2,-6) in the form (x1,y1)
P2 = (2,2) in the form (x2,y2)
plug those into the slope formula above
m = (2-(-6) ) / (2 - (-2) )
m = (2 +6) / (2+2)
m = 8 / 4
m = 2
if you need more explanation just leave a comment, it will show up and I'll come look at your question
For the given right triangle, find the value x to the nearest tenth:
Drake buys a ring that costs $8,000, which depreciates at a rate of 9.5% per year.
What is the value of Drake's ring after 7 years? Round to the nearest cent.
Answer:
$1129.93
Step-by-step explanation:
100 - 9.5 = 90.5
8000 - 90.5 = 7909.5
7909.5 ÷ 7 = 1129.93
i hope this helps
do y'all know vectors-? AHH
Answer:
yea kind of but not in detail
which table and graph represents the equation y=2x i give brainly wjo ever it correct
Answer:
graph a and table a=B
Step-by-step explanation:
This is because for table a, if you subsite the numbers of x it would give you the answer for y such as y=2x, and since x is 2 y is 4, which is shown on the graph. And since it does not have any add ons, if you make x 0 it would be 0 so it would also be proportional through the orgin. so graph A is also correct.
I need help with this somebody please help me!!
Answer:
Y=m6-6
Step-by-step explanation:
Original equation for slope-intercept.
Y=MX+B
Substitute given values
X=slope
B= Y-intercept
Given slope:
6
Given y intercept:
-6
Simply plug in given values into the original equation
y=m6-6
Please, somebody, solve this quick and reply with step by step explanation AND provide all steps of working!
If these will be there then I will mark them as BRAINLIEST!
Answer:
For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:
A = (1/2)*H*(X + Y)
with this we can complete the table.
a)
Here we know:
X = 7cm
Y = 11cm
H = 6cm
Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2
b)
Here we know:
X = 8 m
Y = 10 m
A = 126 m^2
Then:
126 m^2 = 0.5*H*(8m + 10m)
126 m^2 = H*9m
126 m^2/9m = H = 14m
Then the height of this trapezoid is 14m
c)
Here we know:
X = 5mm
H = 8mm
A = 72 mm^2
Then:
72 mm^2 = 0.5*8mm*(5mm + Y)
72 mm^2 = 4mm*(5mm + Y)
72mm^2/4mm = 5mm + Y
18 mm = 5mm + Y
18mm - 5mm = Y
13 mm = Y
Then the parallel side 2 is 13 mm long.
Write
using eighths.
1/2 +1/4 using eights
Write an
expression using scale factor, k, for each dimension?
1D
2D
3D
Mrs. Sanchez went to the hair salon.
The cost of her haircut and style was
$44.35, before tax. The sales tax rate
was 8%. If she added a 20% tip to the
total amount before tax, how muchM
did she pay for the service at the
salon? (Sales tax is paid only on the
service, not the tip.)
Answer:
$53.22
Step-by-step explanation:
$53.22
Sorry If I am wrong
maths angles- please help asap
Answer:
x = 20
Step-by-step explanation:
These angles are same-side supplementary, therefore they add up to 180°.
[tex]4x + 5x = 180 \\ 9x = 180 \\ x = 20[/tex]
Answer:
4x + 5x = 180
because of interior angle
hence, 9x = 180
x = 180/9
x = 20
one angle = 20*4 = 80
another angle = 20*5 = 100
hope it helps
PLEASE HELP MEEEEEEEE
Answer: 4.19
v = 4/3 * 3.14 * 1^3
v = 4/3 * 3.14
v = 4.19
help its ratios please ty no guessing
Answer:
4:3
Step-by-step explanation:
4 pennies
3 quarters
Answer:
4:3
Step-by-step explanation:
a boat travels 45 miles east then 60 miles north how far is it from where it started
Answer:
SOLUTION: A boat travels 45 miles east then 60 miles north, how far is it from where it started. Draw this. The hypotenuse of the right triangle is the square root (45^2)+(60^2)=square root of 2025=3600=square root of 5625, or 75 miles. If you divide 45 and 60 by 15, you get 3 and 4, and the hypotenuse is 5.
Answer:
ya
she's right sjjshxjdhsjsudujdjsjsjsjzizjshha
En una prensa hidráulica, el pistón pequeño tiene un diámetro de 12 cm y el pistón grande tiene un diámetro de 3 m ¿Qué fuerza se requiere aplicar en el pistón pequeño para levantar un peso de 7848 N con el pistón grande?
Answer:
i dont know what is that language
X(-9x^2-5x+9)
..................
What is x if one and is 123 and the other is 3x on a straight line
Answer:
m24=123, mZ1=2x, mZ2=x+42. 123=3x+42. X=27. 193.
Step-by-step explanation:
A ladder is placed against a wall.
To be safe, it must be inclined at between 70° and 80° to the ground.
5.8m
O 11N/Ma1 lesson 3438
HERRER
1.5m
MM
G
(a) is the ladder safe?
Answer:
yes it is safe.
Step-by-step explanation:
Tan^-1 (5.8/1.5)
theta = 75.5
yes, it is safe
The angle is between 70° to 80°.
Yes, the ladder is safe.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
tan Θ = 5.8 / 1.5
Θ = tan (5.8 / 1.5)
Θ = 75.5°
The angle is between 70° and 80°.
Thus,
The ladder is safe.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
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