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Part 1: Figure A is a dilated image of Figure B. Find the scale factor. #1 and 2
Answers
Take one side
B=3unitsA=9unitsScale factor (A to B)
[tex]\\ \rm\rightarrowtail \dfrac{3}{9}=\dfrac{1}{3}[/tex]
Scale factor (B to A)=3#2
B=6unitsA=4unitsScale factor Bto A:-
4/6=2/3Scale factor (Ato B)=3/2
Answer:
The scale factor can either increase or decrease the size of an object. To find the scale factor of dilation:
[tex]\textsf{Scale factor} = \dfrac{\textsf{Dimension of the new shape}}{\textsf{Dimension of the original shape}}[/tex]
For these questions:
new shape = Figure Aoriginal shape = Figure BQuestion 1
Top edge of Figure A = 9 unitsTop edge of Figure B = 3 units[tex]\sf \implies scale \ factor=\dfrac{9}{3}=3[/tex]
Question 2
Width of Figure A = 4 unitsWidth of Figure B = 6 units[tex]\sf \implies scale \ factor=\dfrac46=\dfrac23[/tex]
Related Questions
If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 6 tails?
Answers
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]The\ probability\ of\ tails\ per\ flip\ is\ \frac{1}{2}[/tex]
[tex]so\ the\ probability\ of\ getting\ six[/tex]
[tex]tails\ is[/tex]
[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}[/tex]
[tex]The\ probability\ of\ getting\ tails\ every[/tex]
[tex]time\ you\ multiply\ them\ is\ the[/tex]
[tex]probobility\ of\ getting\ tails\ all\ six[/tex]
[tex]times?[/tex]
I hope this helps you
:)
On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?
Answers
Answer:
Yes
Step-by-step explanation:
An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week
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Part 2: Figure A is a dilated image of Figure B. Find the scale factor. #3 and 4
Answers
Answer:
Step-by-step explanation:
Take one side length
B=16unitsA=12unitsScale factor (A to B)
[tex]\\ \rm\rightarrowtail \dfrac{16}{12)=\dfrac{4}{3}[/tex]
Scale factor (B to A)=1/4/3=3/4
#4
B=4unitsA=8unitsScale factor (A to B)
4/8=1/2Scale factor (B to A)
2What is x in "5x + (x+12)+(2x+4)"
Answers
Answer:
[tex]\rightarrow \boxed{\sf{8x+16}}[/tex]
Step-by-step explanation:
You have to isolate the term of x from one side of the equation.
Distributive property:
A(B+C)=AB+AC
5x+(x+12)+(2x+4)
5x+(x+12)+(2x+4)=5x+x+12+2x+4
5x+x+12+2x+4
Group and combined like terms.
5x+x+2x+12+4
Add the numbers from left to right.
12+4=16
Rewrite the problem down.
5x+x+2x+16
Then, you solve.
5x+x=6x
6x+2x=8x
8x+16
As a result, the final answer is 8x+16.
I hope this helps you! Let me know if my answer is wrong or not.
The problem is write you answer using ONLY positive exponents
Answers
Answer:
z^10/z^5 = z^5
Step-by-step explanation:
if it is divide, you minus, so z^10/z^5 is z^5.
3⋅2t
a. Evaluate the expression when t is 1.
b. Evaluate the expression when t is 4.
pls hurry its due in 5 mins
Answers
Answer:
Step-by-step explanation:
a) substitute t = 1 in the expression
3 - 2t = 3- 2*1
= 3 - 2
= 1
b) substitute t = 4 in the expression
3 - 2t = 3 - 2*4
= 3 - 8
= (-5)
A Triangle has a perimeter of 80 feet. If the three sides of the triangle are, n, 3n + 7, and 3n + 3, what is the length of each side?
Answers
Answer:
Step-by-step explanation:
Givens
Perimeter = 80 feet
side 1 = n
side 2 = 3n + 7
side 3 = 3n + 3
Formula
Side 1 + side 2 + side 3 = 80
Solution
Substitute the length for each side into the equation
n + 3n + 7 + 3n + 3 = 80
7n +10 = 80 Subtract 10 from both sides
7n + 10 - 10 = 80 - 10 Combine
7x = 70 Divide by 7
7x/7 = 70/7 Combine
x = 10
Answer
Side 1 = n = 10
Side 2 = 3n + 7 = 3*10 + 7 = 37
Side 3 = 3n + 3 = 30 + 3 = 33
Eight striped ties and 6 polka dot ties are on a
rack in a dark closet. What is the probability
of drawing out one polka dot tie? Write your
answer as a decimal rounded to two decimal
places.
Answers
Answer: 6 out of 14 or 3 out of 7
Step-by-step explanation: just add up all the ties and put polka dot ties out of the total and
Need help with his geometry question. Find the value of x
Answers
[tex] \frac{12}{16} = \frac{x}{13} [/tex]
[tex]16x = 12 \times 13[/tex]
[tex]x = \frac{12 \times 13}{16} [/tex]
[tex]x = \frac{156}{16} = 9.75[/tex]
can someone please help me
Answers
Answer:
x = 49
Step-by-step explanation:
corner point b = 41
d = right angle ( 90 )
90 + 41 = 131
180- 131 = 49
x = 49
p.s
im not sure if d is a right angle if it is not please inform me.
A group of researchers wants to estimate the difference in time it takes to heal enough to return to work after knee replacement surgery using two different physical therapy plans. They plan to use the data in the following table to construct a two-sample t interval.
Therapy plan A B
Mean healing time (weeks) 8.2 6.8
Standard deviation (weeks) 1.5 0.9
Number of participants 45 60
Which of the following are conditions for this type of interval?
Choose all answers that apply:
A. The times for each participant are independent of each other.
B. The distributions of times in the population are approximately normal.
C. Each sample includes equal numbers of men and women.
Answers
Answer:
A
Step-by-step explanation:
Got it right on Khan Academy.
Hope this helps!
Please mark as brainliest!
What is the center and radius of the circle?
(x-3)2 + y² = 4
Answers
Answer:
center = (3, 0)
radius = 2
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center of the circle and r is the radius)
Given equation:
[tex]\sf (x-3)^2+y^2=4[/tex]
Rewrite in standard form:
[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]
Therefore
center = (3, 0)radius = 2Please help with this
Answers
Answer:
1) the quadratic formula2) factoring (zero product property)Step-by-step explanation:
1) using quadratic formula
(b)² - 4ac ----(always write the formula)
3 ( 4x + 1 )² - 5 =25
(12x + 1)² - 5 = 25 (using (a+b)^2)
144x² + 24x +1 - 5 = 25
144x²+ 24x - 4 = 25
144x² + 24x =29
144x² + 24x - 29= 0 (thus, formed and equation)
A=144, b= 24, c= -29
(24)² - 4(144 X -29)
576 - 4 X -4176
576 + 16704=0
17280>0, therefore it has 2 distinct real roots2) x²-8x+12=0
sum= -8, product= 12
-2,-6
so,
x²-2x -6x + 12
x ( x - 2 ) -6 ( x - 2 )
(x-2) (x-6)
X= 2, 6Hope it is correct and helpful
Stay safesorry for the late answerA cup contains 438 grams of sand. A bucket contains 2,120 grams of sand.
How many more grams of sand are in the bucket than the cup?
Answers
The bucket that contains 2120 grams of sand and a cup that contains 438 grams of sand , the bucket of sand has 1682 grams of sand than the cup of sand in the cup.
How to calculate difference in mass?A cup contains 438 grams of sand. A bucket contains 2120 grams of sand.
Therefore, the number of more grams of sand in the bucket than the cup is as follows:
mass of sand in cups = 438 grams
mass of sand in the bucket = 2120 grams
Therefore,
difference in mass = 2120 - 438
difference in mass = 1682 grams
Therefore, they are 1682 grams of sands in the bucket than the cup.
learn more on mass(grams) here: https://brainly.com/question/12843854
How do I find the volume?
Answers
Answer:
150m^3
Step-by-step explanation:
The formula for the volume a triangular prism, like the one you have, is 1/2 base x height. For your prism the volume would be 1/2 (30 x 10) which equals 150. Now just add the measurment m (meters) and you're set.
Find the measure of ∠b.
Answers
Answer:
B. 38°
Step-by-step explanation:
The angles of a triangle add up to 180.
So, 62 + 80 + b will add up to 180.
First, we add 62 =80, which gives us 142.
The we subtract 142 from 180, which gives us 38.
3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?
Answers
Answer:
The mean is 24 ( I think)
Step-by-step explanation:
SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.
The mean of magazines he sold is 24
The ingredients for your skillet brownie cost $1.89. You want your food cost percentage for this item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.
choices:
a.
$5.98
b.
$6.00
c.
$5.67
d.
$6.30
Answers
Answer:
Your want your food cost forthis item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.
1 answer
·
1 vote:
$2 / 0.3 = $6.67Check:$6.67 * 0.3 = $2 :)
Missing: choices: $5.98 $6.00 c. $5.67 d. $6.30
Step-by-step explanation:
The lowest price you can charge is $6.30
How to determine the cost?We have:
Skillet brownie = $1.89Percentage of food cost = 30% or lowerThe lowest price you can charge is calculated as:
Lowest = Skillet brownie/Percentage
This gives
Lowest = $1.89/30%
Evaluate
Lowest = $6.30
Hence, the lowest price you can charge is $6.30
Read more about percentages at:
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Which number is a common multiple of 2 and 3?
A) 8
B) 16
C) 28
D) 36
Answers
Answer:
D
Step-by-step explanation:
36 can be divided by both 2 & 3
Answer:
The answer is D.
Step-by-step explanation:
2x18=36
3x12=36
Complete the table below.
ਪੁ = 22 y = 21
0
0
1
1
1
1
2
Answers
Answer:
20.1168
Step-by-step explanation:
Step-by-step explanation:
10ft,10ft,4ft what is the area
Answers
Answer:
400 ft sq
Step-by-step explanation:
Area = Length x Width x Height
10 x 10 x 4
100 x 4
400
Have a great day!!
Please rate and mark brainliest!!
what is the area of the parallelogram?
Answers
The area of a parallelogram is the product of:
--> length of the base and the height
length: 7ftheight: 5ftThus the area = 7 * 5 = 35 square feet
Hope that helps!
Find the scale factor and ratio of perimeters for a pair of similar octagons with areas 9 ft^2 and 16 ft ^2 .
Answers
Answer:
3/4 ratio
Step-by-step explanation:
This is the answer
Some pens are shared among three students anne,lucy, and John.Anne gets 5 times many pens as lucy, and lucy gets 2 pens less than john. Suppose John gets x pens, how many pens does anne get in terms of x
Answers
Using a system of equations, it is found that Anne gets 5x - 10 pens.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, we consider that John gets x pens.
Lucy gets 2 pens less than john, hence:
L = x - 2.
Anne gets 5 times many pens as lucy, hence:
A = 5L = 5(x - 2) = 5x - 10.
More can be learned about a system of equations at https://brainly.com/question/24342899
Please help I'll mark brainliest.
Answers
Answer:
I believe the answer is class 3 because each number of boys and girls goes into class 3.
Answer: Class 3.
Step-by-step explanation: Answers with a 1 to 2 ratio have ratios like 4 to 8, or 5 to 10. Class 3 is the only one with a 1 to 2 ratio, which is 7 to 14, with 7 being the number of girls in that class and 14 being the number of boys in that class. Class 1 has a 1 to 1 ratio, class 2 has a 2 to 1 ratio, and class 4 has a different ratio than all the rest, so that's why all of those are wrong. Therefore, class 3 is your answer.
Have a great day! :)
Question 2 of 10
Classify the following triangle. Check all that apply.
9
11.4
I A. Right
B. Obtuse
C. Isosceles
DD. Acute
O E. Scalene
OF Equilateral
SUBMIT
Answers
Hello, it seems your questions didn't upload correctly. Are you able to resend it?
Triangle ABC has vertices A (-4,4), B(0, 3), and C(1,-1). Find the vertices of triangle A'B'C' after a
reflection across the x-axis.
Answers
Reflection is flipping. The x axis is the horizontal line. If you flip a shape over the x axis, it will still stay in the same area for the horizontal points, it's the vertical points that will change, but only their signs will because a reflection isn't moving a shapes location completely. Think of it like Flipping the page of a book. If you drew a triangle on your book page and flipped the page, it would still be in the same area just the opposite side/direction. Just make the y axis (second number in brackets) points the opposite sign to solve
-4,-4 0,-3. 1,1
Give the numbers 12 and 4. Find out how much is the sum and difference of these numbers.
Answers
Answer:
The sum is 16 and the difference is 8 unless subtraction 12 from 4 and it would be -8.
Step-by-step explanation:
12 + 4 = 16
12- 4 = 8
4 - 12 = -8
Barry has two cubes of different sizes. The first cube has a volume of 1 cubic unit. The second cube has sides one-third as long as the first cube does. What is the volume of the second cube?
Answers
Answer:
1/27 units cubed or 0.037037... units cubed
Step-by-step explanation:
Volume of a cube = s*s*s : Where s is a side length.
The volume of the first cube is 1 cubed, which means that each side length is 1. (s=1)
The volume of the second cube in relation to the first cube can be found by multiplying each side length by 1/3.
Volume of second cube= (1/3s)(1/3s)(1/3)s
Volume of second cube= (1/3)(1/3)(1/3)
Volume of second cube= 1/27
Question 1 The diagram below shows the straight line joining points A and B. YA A(-1,6) 0 х B (3,-2) Find the equation of the line AB. Give the equation in its simplest form.
Answers
Answer:
y+2x=4
Step-by-step explanation:
use the formula of equation of line
The equation of line is y= 4 - 2x.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given co- ordinates:
A(-1,6) and B (3,-2)
slope = [tex](y_2 - y_1) / (x_2 - x_1)[/tex]
slope = ( -2 - 6)/ ( 3 -(-1))
slope = (-8) / (4)
slope = -2
Now, the equation of line
([tex]y-y_1) = m (x - x_1)[/tex]
(y- 6) = (-2)(x - (-1))
y-6 = (-2)(x + 1)
y-6 = -2x -2
y= 4 - 2x
Hence, the equation of line is y= 4 - 2x.
Learn more about slope here:
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