Given:
Perimeter of a regular pentagon = 10 cm
The pentagon is dilated by a scale factor = [tex]\dfrac{3}{2}[/tex].
To find:
The perimeter of the new pentagon.
Solution:
If a figure is dilated by a scale factor k, then
Perimeter of new figure = k × perimeter of original figure
The scale factor is [tex]\dfrac{3}{2}[/tex] and the perimeter of a regular pentagon is 10 cm. So, the perimeter of a new pentagon is:
[tex]\text{Perimeter of new pentagon}=\dfrac{3}{2}\times 10[/tex]
[tex]\text{Perimeter of new pentagon}=3\times 5[/tex]
[tex]\text{Perimeter of new pentagon}=15[/tex]
Therefore, the perimeter of the new pentagon is 15 cm.
The radius of the a circle is:
is a line segment with its endpoints on the circle.
is a line segment from the center of a circle to a point on the circle
is a chord that passes through the center of a circle. It is twice the length of a radius of that circle
is a part of a circle with all its points on the circle
Answer:
[tex]\fbox{\textsf{Option B is \underline{correct}.}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to identify what the radius of a circle is.}\\[/tex]
[tex]\textsf{Let's look at what a Radius really is.}}[/tex]
[tex]\Large\underline{\textsf{What is a Radius?}}[/tex]
[tex]\textsf{A \underline{Radius} is a \underline{line segment} that has the distance between the \underline{center of the circle}}[/tex]
[tex]\textsf{to a \underline{point} on the \underline{circumference}. A Radius is a \bf{straight line.}}[/tex]
[tex]\textsf{Let's review the options provided.}}[/tex]
[tex]\textsf{Option A is \underline{incorrect}. }}[/tex]
[tex]\textsf{Sometimes it won't cross the center if their endpoints are on the circumference.}[/tex]
[tex]\textsf{This is called a Diameter, if it does cross the center.}[/tex]
[tex]\fbox{\textsf{Option B is \underline{correct}.}}[/tex]
[tex]\textsf{The Radius is exactly a line segment from the center to the circumference.}[/tex]
[tex]\textsf{Option C is \underline{incorrect}. }}[/tex]
[tex]\textsf{A Chord is a line segment whose endpoints are on the circumference, always.}[/tex]
[tex]\textsf{This is not a Radius, as a Chord covers twice the distance, and length of a Radius.}[/tex]
[tex]\textsf{Option D is \underline{incorrect}. }}[/tex]
[tex]\textsf{This is incorrect. A Radius has to have the Center as one of its points. }[/tex]
What is the product of 5.2 x 10^4 and 1.3 x 10^-2?
6.76×10^8
6.76×10^2
6.76×10^-2
6.76×10^-8
Answer:
i believe it's 6.76×10^2
Solve the inequality. 2 < 6 - 3r and graph the solution
the answer is 3 because you subtract 6 - 3 = 3r
r varies directly as s and inversely as t cubed. If r=607.5 when s=12 and t=2, find r when s=42 and t=6
Answer:
hi, do you study physics too?
PLEASE HELP!!
what is the arrow pointing to? (l
CHECK THE PHOTO
Answer:
3.7
Step-by-step explanation:
each tick represents .1 unit
4) Haleakela is a 10,000 foot high dormant volcano on Maui, Hawaii. The peak is a horizontal distance of 30,000 feet from the ocean. At what angle would you have to look up to see the peak if you were standing at the edge of the ocean?
ITS 67 dgrees Step-by-step explanation: NP BRAINLIEST OR NA :)?
The angle that you would have to look up to see the peak if you were standing at the edge of the ocean is 18.4°.
Angle:Let x represent the angle
Tan x=Height/Horizontal distance
Tan x =10,000/30,000
x=Tan^-1 (1/3)
x=18.4°
Inconclusion the angle that you would have to look up to see the peak if you were standing at the edge of the ocean is 18.4°.
Learn more about angle here:https://brainly.com/question/25770607
Geometry help please. Thank you!
Arianna put $250 in a savings account with an interest rate of 3%. If Arianna does not deposit or withdraw any money, what is the amount of interest that Arianna will earn at the end of six MONTHS?
Answer:
She will earn 485.13075 in interest.
Step-by-step explanation:
Assuming the interest rate is monthly and it is simple interest, the equation is Total = amount * (1 + rate) * time
Fill that out and solve the equation
T = 2500 * (1.03) * 6
T = 2500 * (1.1940523)
T = 2985.13075
To find the interest subtract T by 2500
2985.13075 - 2500 = 485.13075
The volume of this figure is
Answer:
8 x 10 = 80
80 divided by 2 = 40
40 x 9 1/2 = 380
I'm not 100% sure on how to figure out this equation, can can anyone help out?
Answer:
Aonnalin, great name :) answer as below
Step-by-step explanation:
They tell us to use slope-intercept form. This is something you will just have to remember y = mx+b
It is confusing b/c there is the other one, the point-slope formula too. but just remember both and know that the point-slope one is to get to the slope-intercept one. y-y1 = m(x-x1)
m= slope
m = (y2-y1) / (x2-x1)
P1= (0,7) in the form (x1,y1)
P2 =(8,-2) in the form (x2,y2)
m = -2-7 / 8-0
m = -9 / 8
now that we have the slope, just use either point with the point-slope
y-7 = (-9/8)(x-0)
y-7 = -9x/8
y = -9x/8 + 7
y = [tex]\frac{-9}{8}[/tex] X + 7
slope-intercept form :)
What is the equivalent exponential expression for the radical expression below?
Answer:
B (a + b)^1/2
Step-by-step explanation:
[tex]\sqrt[m]{x^n} =a^{n/m}[/tex]
Is the formula for radical to exponent notation.
Please do correctly! I will mark you Brainliest!
Answer:
Step-by-step explanation:
3*3 + 1/2*3*3 = 9+4.5 = 13.5
Jasmine and Cindy ran in a race this weekend that was 3.5 miles long.
Jasmine ran the race in 42 minutes.
Cindy 's rate was 11 minutes per mile.
Who ran faster?
HELP PLSSS :(
Answer: Cindy
Step-by-step explanation:
42/3.5=12 minutes per mile
So Cindy ran faster at 11 minutes per mile
Answer:
Cindy was faster
Step-by-step explanation:
jasmine
42/3.5= 12 miles por hour
Can someone pls help me with this?
the answer is B because the question is asking for the factors
At Jones Middle School 72% of students like pizza. If there are 250 students, how many students like pizza? *
Answer:
180/250
Step-by-step explanation:
What’s the answer pls help meee
Answer:
3 hours
160 - 55 = 105
105 ÷ 35 = 3
Answer:
3 hours
Step-by-step explanation:
First, we must turn this into an equation:
35n + 55 = 160
N = number of hours
Next, solve:
35n + 55 - 55 = 160 - 55
35n = 105
n = 3
The plumber was there for 3 hours.
What is the equation of the circle with center (2,-5) that passes through the point (-2,10).
(x-2) ^2 + (y+5)^2=25
(x+2) ^2 +(y-5)^2=241
(x-2)^2 +(y-5)^2=241
(x+2)^2 + (y-5)^2=25
Answer:
b is the answer
Step-by-step explanation:
The pet store had 2 puppies to feed using 1/3 of a bag of puppy chow. If each puppy needs an equal amount, how much food should they receive? I really need this asap if you dont mind.
Answer:
The answer would be 1/6
Step-by-step explanation:
That is because 1/3 divided by 2 equals 6. Hope this helps.
Angles a and b are...?
Choose all answers that apply?
a) Complementary
b) Vertical
c) Supplementary
d) None of the above
Answer:
vertical
Vertically opposite angles make a up a 360 degree angle
Answer:
b) Vertical
Step-by-step explanation:
When two lines intersect, 4 angles are formed. Two non-adjacent angles with no common inside points are called vertical angles.
Answer: b) Vertical
which of the following equations has no solutions?
Answer:
all if you don't answer them
please help multiple choice ( links = report )
Answer:
22
Step-by-step explanation:
PLEASE HELP URGENT ILL GIVE 25 POINT.
Answer:
C
Step-by-step explanation:
I think that this is talking about which sides match up with each other and if that is the case the answer would be C
LOOK AT THE PHOTO!! please help.
Answer:
a) 18
b)12
Step-by-step explanation:
hope this helps
Convert the following fractions into mixed numbers: 15/7
Answer:
2 1
7
Step-by-step explanation:
what is the volume of a cone with a radius of four and a height of 15
Answer:
volume = 251.33
Step-by-step explanation:
volume = pi * r^2 * h/3
v= 22/7 * 4* 4 * 15/3
v= 251.33
Help with this maths question please
Answer:
The surface area is 1.5cm
Step-by-step explanation:
6/4=1.5cm
Answer:
216 cm²
Step-by-step explanation:
A cube has 6 square faces.
The area of 1 face = 6 × 6 = 36 cm² , then
SA = 6 × 36 cm² = 216 cm²
You rub a balloon on your head and it becomes negatively charged. The balloon will be most attracted to
Answer:
When you rub the balloon on your hair, the balloon becomes negatively charged because it gains electrons from your hair.
Step-by-step explanation:
Is it multiple choice? If not the answer is anything positively charged. Negative and positive ions attract, while synonymous (N,N or P,P) repel. Pieces of paper, the wall, or even your clothing are all possibly positive charged objects the balloon could stick to.
Match the behavior if the graph of a function with the slope of its graph
Answer:
A
Step-by-step explanation:
Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?
Answer:
22.5
Step-by-step explanation:
Josiah went to the barber to get his haircut.It cost $18 for the haircut.Josiah tipped the barber 15%.What was the total cost of the haircut including the tip?
Answer:
Tip -$2.70
Total -$20.70
Step-by-step explanation: