The table below
A
3. Circle A has been enlarged to create circle
shows the circumference of both circles.
Circumference
Circle Circumference (inches)
2
5
A
6
A
15
O
1.5
Based on the information in the table, what scale factor was used
9
A
to create circle
?
O
2.5
CLEAR ALL
Answers
Answer:
[tex]Scale\ Factor = 1.5[/tex]
Step-by-step explanation:
See attachment for proper presentation of question.
From the attachment, we have:
[tex]A = 7[/tex]
[tex]A' = 10.5[/tex]
Required
Determine the scale factor
To solve this, simply divide the circumference of A' by that of A.
This gives the scale factor used
i.e.
[tex]Scale\ Factor = \frac{A'}{A}[/tex]
Substitute values for A and A'
[tex]Scale\ Factor = \frac{10.5}{7}[/tex]
[tex]Scale\ Factor = 1.5[/tex]
Hence, the scale factor used is 1.5
Additional Note:
If the given parameters had been the area of A and A', you'll need to first solve for the radius of both circles.
Then determine the scale factor by A'/A
Related Questions
I put D since I believe HL applies here but am not sure. Could anybody please help?
Answers
====================================================
Explanation:
Check out the diagram below.
On the left side shows ASA can be used to prove the triangles congruent. Note the color coding to see how the angles match up. Also note that the segment TR is between angles STR and SRT. The order is important because ASA is different from AAS.
Angle STR = Angle VTU because they are vertical angles
Angle SRT = Angle VUT since they are alternate interior angles. Note how SR is parallel to UV. If the lines weren't parallel, then the alternate interior angles would not be congruent.
We can use AAS because if we know two angles of a triangle, we can find the third angle. Despite the fact that something like RST looks like a right angle, we don't have enough info to say it is or not. The square angle marker is missing. So it could be 90 degrees, or it might be something like 89 degrees instead. We don't have enough info. So we cannot use HL.
AAA or AA is not a congruence theorem. It's a similarity theorem. So we cross this off the list.
The factors of two numbers are given below: Number 1: 1, 3, 5, 7, 15, 21, 35, 105. Number 2: 1, 3, 7, 21, 49, 147. What is the greatest common factor of the numbers
Answers
Answer:
21
Step-by-step explanation:
they both have 21
gets paid 15 per hour what is the minumim number of hours that joseph must work per week to make $450 per moth? (1moth=4weeks)
Answers
Answer:
Minimum of 7 1/2 hours ( 7 hours, and 30 minutes )
Step-by-step explanation:
Rate = money / time
time = money / rate
_____________
1 month = 4 weeks
1 week = 7 days
1 day = 24 hours
1 hour = 60 minutes
_____________
$15 / 1 hour = 1 day / 24 hours = 1 week / 7 days = 1 month / 4 weeks = $450 / 1 month.
$15 / 1 hour / 1 week = $450 / 1 month
$15 / 1 hour / 1 week = $450 / 4 weeks
$15 / 1 hour / 1 week = $112.5 / 1 week
$15 / 1 hour = $112.5
112.5 / 15 = 7.5 hours.
What is the quotient of the division below? 96-3= O 13 O 23 O 31 o 32
Answers
Answer:
32
Step-by-step explanation:
please make me brainlist
Suppose that Professor Rodgers needs one small group of students from his class to participate in a focus group. There are 11 students in the class. How many different combinations of three selected students can Professor Rodgers create? number of combinations of three students: _________If Professor Rodgers decides he needs four students in the focus group, how many combinations can he create? number of combinations of four students: _____________
Answers
Answer:
(A) 165
(B) 330
Step-by-step explanation:
Total number of students in the class = 11
(A) How many different combinations of 3 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 3
11! / [8! 3!] = 165
HINT: 8! or 8 factorial represents [8x7x6x5x4x3x2x1]
(B) How many different combinations of 4 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 4
11! / [7! 4!] = 330
Same hint applies here, for all numbers with the factorial sign.
An 8-quart jug of water costs $6.08. What is the price per cup?
Answers
Answer:
$0.19 cents
Step-by-step explanation:
First, find how many cups are in 8 quarts.
1 quart is 4 cups, so to find the number of cups, multiply 8 by 4:
8(4)
= 32 cups
Then, to find the price per cup, divide the cost by the number of cups:
6.08/32
= 0.19
So, the price per cup is $0.19 cents
Simplify.
7 (x-1) -2 (x-1)
Answers
Answer: 5x-5
Step-by-step explanation:
7 (x-1) -2 (x-1)
7x-7-2x+2
Combine like terms:
7x-2x=5x
-7+2=-5
Answer simplified is 5x-5.
I really don’t understand this can someone pls help this is due soon and I will mark brainliest do not answer if your not sure
Answers
Answer:
|-3|=3
|0|=0
|3|=3
|-5|=5
In order to accumulate enough money for a down payment on a house, a couple deposits $589 per
month into an account paying 3% compounded monthly. If payments are made at the end of each period,
how much money will be in the account in 4 years?
Type the amount in the account: $
(Round to the nearest dollar.)
Answers
you have four years 1767 dollars in account
PLEASEEEE!!!!! HELPPPPPPPPPPP
Answers
Answer:
what's your question I can't understand
Answer:
what's the question
Step-by-step explanation:
please write complete question
Simplify the expression.
6(x+4)+1 =
Answers
Answer:
6x+25
Step-by-step explanation:
6(x+4)+1 =
Distribute
6x+24+1
Combine like terms
6x+25
0.5 (x4 - 3) + 12
WILL MARK BRAINLEST PLEASEEE HURRYYYYY!!!!!!!!
Answers
0.5x^4+10.5 or 12.5 simplified is correct answer. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction.
Combine the constants.
3.4+(-7)-(-0.2)
PLZ HELP
Answers
Answer:
-3.8
Step-by-step explanation:
I used my calculator.
Answer:
-3.8
Step-by-step explanation:
need help please full question in image
Answers
PLZ answer fast! u will be rewarded
Answers
Answer:
65 and 115
Step-by-step explanation:
The two angles are same side interior angles which means they add to 180
3x-5 + 2x-15 = 180
Combine like terms
5x -20 = 180
Add 20 to each side
5x-20+20 = 180+20
5x= 200
Divide by 5
5x/5 = 200/5
x=40
The top angle is
3x-5 = 3*40 -5 = 120-5 = 115
The bottom angle is
2x-15 = 2*40 -15 = 80 -15 = 65
2) Find BC
С
67
52
4
B
21
A) 20
C) 20.7
B) 16
D) 18
Answers
Answer:
i got D
Step-by-step explanation:
sin 67 = sin 52
21 BC
BC=17.98
BC=18
List the transformations of the function.
*
g(x) = -(x+5)-4
Answers
Answer:
Transformations of g(x) = -(x+5)-4:
reflects across x-axistranslates left translates downPlease help thanks :)
Answers
Answer:
A) Symmetric Property Of Equality
Step-by-step explanation:
[tex]The\ symmetric\ property\ of\ equality\ just\ says\ that\ , if\ the\ LHS=RHS; then; RHS=LHS[/tex]
[tex]Here,\\-5=x\\x=-5[/tex]
Can someone pls help me solving this? ITS NOT A TEST
Answers
Answer:
10x +12
Step-by-step explanation:
2(3x+7) = 6x+14
2(2x-1) = 4x-2
6x+14 +4x-2 = 10x+12
Answer:
P = 10x + 12
Step-by-step explanation:
The length of the rectangle is
L = 3x + 7
The width of the rectangle is
W = 2x - 1
The formula for perimeter of a rectangle is
P = 2L + 2W
Plug in the values for length and width and simplify.
P = 2(3x + 7) + 2(2x - 1)
P = 6x + 14 + 4x - 2
P = 10x + 14 - 2
P = 10x + 12
A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of Xis given (in units of months) byf(x) ={cxe -x/2 x>0 0 x<0 What is the probability that the system functions for at least 5 months?
Answers
Answer:
0.2397
Step-by-step explanation:
Given data:
fX(x) = Cxe^(−x/2) if x >0 0 otherwise, where C > 0 is some constant.
The probability that the system functions for at least 5 months
= 0.2397
attached below is a detailed solution
Which expression is modeled by this arrangement of tiles?
A. -40÷10
B. 40÷(-10)
C. 40÷10
D. 40÷40
Answers
Answer:
c
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I need to know the explanation will mark Brainliest
Answers
Answer:
the value of x is 23
Step-by-step explanation:
plz mark brainly
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random.
Find the probability that the ticket drawn has a number which is a multiple of 5:
Answers
Answer:
1/5
Step-by-step explanation:
4/20 is how many multiples of 5 are in the total out of 20. 4/20 simplified is 1/5
Please help! Not good at math whatsoever!!
Answers
What is the value of the expression below?
-8+19+8
ОО
O 11
O 19
O 35
Answers
Answer:
the answer would be 19.
Step-by-step explanation:
-8+8=0
0+19=19
Answer:
19
Step-by-step explanation:
Determine whether the graph represents a function?
None are correct
The relation is a function
The relation is not a function
Answers
Simplify the given expression:.
(12/8 t -5)2 =
Answers
Answer:
3t-10
Step-by-step explanation:
[tex]( \frac{12t}{8} - 5)2[/tex]
[tex] = (\frac{12t}{8} - \frac{5 \times 8}{8} )2[/tex]
[tex] = ( \frac{12t - 40}{8} )2[/tex]
[tex] = ( \frac{2(12t - 8)}{8} )[/tex]
[tex] = 3t - 10[/tex]
hellpppppp please I will give brainliest
Answers
Answer:
y = 2x-2
Step-by-step explanation:
Answer:
C: y=2x-2
2x= slope
-2= y intercept
Step-by-step explanation:
it starts at -2 and the slope continues to go up 2 over right 1
A pair of shoes is on sale for 15% off.With this discount,customers will save $9 if they buy the shoes.What was the original price of the shoes?
Answers
15 percent off 9.00 is 7.65
Step-by-step explanation:
The difference is 1.35
At a recent frog jumping contest, the winning frog jumped 21 1/4 feet. The second place frog jumped 20 1/2 feet. How much farther did the first place frog jump?