Answer:
The scale factor for dilation can be worked out from the ratio of sides.
Here, for i.e, I'H'/IH = (8 + 4)/(4 + 2) = 12/6 = 2
Hope this helps!
:)
The scale factor for this dilation is 2
What is dilation?The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger. The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.
As per the given data:
We are given a diagram having 2 triangles, we need to find the scale factor for this dilation.
For finding the scale factor, we can find the ratio of the corresponding sides of the two triangles.
Scale factor for ΔG'H'I' and ΔGHI :
= [tex]\frac{H'I'}{HI}[/tex]
From the given graph, we can clearly observe that
H'I' = 8 + 4 = 12
HI = 4 + 2 = 6
[tex]\frac{H'I'}{HI}[/tex] = [tex]\frac{12}{6}[/tex] = 2
Hence, The scale factor for this dilation is 2.
To learn more about dilation, click:
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PLEASE HELP AGAIN, SORRY I SUCK AT MATH.
Answer:
C. 24 degrees
Step-by-step explanation:
All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.
120+36=156
Then subtract the sum of the known angles from 180 to find the degree of the unknown angle
180-156=24
Answer: C
Step-by-step explanation:
I'll explain why.
The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.
The sum of the angles (x+36+120) must be equal to 180 (=180)
x+36+120=180
Combine like terms
x+156=180
Subtract 156 to isolate x
x=180-156
x=24
can someone helpp ??
Answer:
21.24°
Step-by-step explanation:
I hope it helps :)
I will mark brainliest! The question is the image attached, please help!
Answer:
x=20 and y=128.Option 2
Step-by-step explanation:
Since,the angles are vertically opposite,they are equal(property)
Therefore,
(3x-8)=(2x+12)
3x-8=2x+12
3x-2x=12+8
x=20,
Now,
Since,the angles are formed in a straight line,their sum is equal to 180(property)
Therefore,
y+(2x+12)=180
y+2×20=180-12
y=168-40
y=128
Therefore,x=20 and y=128
option 2 would be your answer because it explains the missing part where y is.
please help me!!!!!!!
a+b=9 a+c=4 b+c=5 . Find a+b+c.
(A) 4 (B) 5 (C) 7 (D) 8 (E) 9
show your work please.
thanks!
Answer:
(E) 9
Step-by-step explanation:
A= 4
B= 5
C= 0
a+b+c= 4+5+0= 9
a+b=9= 4+5=9
a+c=4= 4+0=4
b+c=5= 5+0= 5
Answer:
E(9) pls mark brainleast
Step-by-step explanation:
If you add the left sides you get 2a+2b=2c then add the right sides which is 18. Now you have an equation 2a+2b+2c=18 then you can factor out the 2 that becomes 2(a+b+c)=18 then divide by two on both sides then get a+b+c=9.
A running track is 1/4 of a kilometre. What is the
total distance a runner travels if he goes three
times round the track?
How many times would you have to go round the
track to run 2 kilometres?
Willow has read 1/7 of the books in the library.
Answer:
If a runner went around the track 3 times, he would have ran 3/4 of a kilometre. He would have to run around the track 8 times to run 2 kilometres.
Step-by-step explanation:
Answer:He would have to go around the track 8 times to get 2 kilometers
Step-by -step explanation:
PLEASE HELP ME
I NEED IT
Answer:
[tex]\sqrt{24}[/tex]
Step-by-step explanation:
[tex]4\frac{4}{9}[/tex] cannot be correct because it equals 4.4.
[tex]\sqrt{20}[/tex] cannot be correct because it equals 4.5.
480% is 480/100 which equals 4.8 which is also not correct.
Therefore, [tex]\sqrt{24\\}[/tex] is correct because it is greater than 4.8 and less than 5.0.
Find the area of the shape shown below.
Answer:
42
Step-by-step explanation:
12+(5(12))/3
42
Answer:
42
Step-by-step explanation:
[tex]A = \frac{a+b}{2} h[/tex]
[tex]A = \frac{1+6}{2} 12[/tex]
[tex]A = \frac{7}{2}12[/tex]
[tex]A=7*6[/tex]
[tex]A = 42[/tex]
ASAP : What is the y-coordinate of the center of the circle for the following circle equation? x2 + y2 - 10y + 18x = 2
Answer:
y = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre ad r is the radius
Given
x² + y² - 10y + 18x = 2 ( Rearrange collecting x and y terms together )
x² + 18x + y² - 10y = 2
Using the method of completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(9)x + 81 + y² + 2(- 5)y +25 = 2 + 81 + 25
(x + 9)² + (y - 5)² = 108 ← in standard form
with centre = (- 9, 5 )
The y- coordinate of the centre is therefore y = 5
jina works mowing lawns and babysitting she earns $7.90 an hour for mowing $7.40 an hour for babysitting how much will she earn for 1 hours of mowing and 5 hours of babysitting
Answer:
44.90
Step-by-step explanation:
1 hour mowing = 1*7.90 = 7.90
5 hours babysitting = 5*7.40 =37.00
The total is 7.90+37 =44.90
Jill charges an hourly rate for babysitting one or two children. Kara charges a lower hourly
rate but adds an additional charge for more than one child.
The tables show the amounts Jill and Kara charge for babysitting two children for up to three
hours. Based on this information, which statement is true?
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Consider the equation, -2x + 3y = 6. Identify the slope.
Answer: 2/3
Step-by-step explanation: To identify the slope of this line, we first need to convert this equation to slope-intercept form.
In slope-intercept or y = mx + b form, the y
is by itself on the left side of the equation.
So our first task in this problem is to get y by itself
on the left side of the equation and we do that by
first adding 2x to both sides to get 3y = 2x + 6.
Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.
Continuing on, to get y by itself we would
divide both sides by 3 to get y = 2/3x + 2.
Now in y = mx + b form, the slope is coefficient of the x term.
So we can see that the slope of this line is 2/3.
A store bought 30 cases of notebooks for a back-to-school sale. Each case has 36 notebooks. How many total notebooks did the store have for the sale
Answer:
1080 notebooks
Step-by-step explanation:
30×36 You can simplify this...
3*36=108
108×10=1080
[will mark brainleist]
Answer:
164 inches
Step-by-step explanation:
A=2(wl+hl+hw)
you subsitute your l width and height
2(3(10)+4(10)+4(3))
2(30+40+12)
2(82) gets you to 164 inches squared
Answer:
164
Step-by-step explanation:
You need to find the area of all sides of the figure.
i first found the front side of the rectangle.
10*4=40 but since there are two of the same shapes, you have to multiply it by two which gives you 80. then you do the same on the top and bottom of the figure.
3*4=12*2=24
10*3=30*2=60
60+24+80=164
WILL MARK BRAINLIEST!!! OWO
Answer:
G equilateral
Step-by-step explanation:
scalene = all the sides of the triangle are not equal
isosceles = two sides of the triangle is equal
Answer should be equilateral = All the sides of the triangle is equal.
F H J are not describing any triangle.
Answer:G equilateral
Step-by-step explanation:
^///^
Anyone know the answer to this ?
Answer:
Triangle HBN ~ triangle LYR
=> HN/LR = HB/LY
=> (3x - 7)/(x + 11) = 28/21
=> 21(3x - 7) = 28(x + 11)
=> 63x -147 = 28x + 308
=> 35x = 455
=> x = 455/35 = 13
There is no answer to select. But I still believe there is no mistake in my calculation.
Hope this helps!
:)
Four less than 3 times a number is the same as the number plus 10 - in an equation
Answer:
4-3x=x+10
Step-by-step explanation:
4- (four less)
3x (3 times a number)
= (is the same as)
x (the number)
+10 (plus ten)
Please rate, thanks, mark brainliest if this helps!
You decide to borrow money to pay for college at 22% interest per year, in 2023.
How much will you owe on a loan of $5,000 in 2027?
Answer: On loan of $5000 at that rate, you would be owing $9400
Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.
Hence, the formula for a simple interest computation is given as follows;
Interest = P x R x T
Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)
Interest = 5000 x 0.22 x 4
Interest = 20000 x 0.22
Interest = 4400
Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.
Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)
Divide and answer in simplest form: 4/5 ÷ 2
Answer:
2/5
Step-by-step explanation:
4/5*1/2=4/10=2/5
Answer:
0.4 or [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
First convert 4/5 into a decimal of 0.8
Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]
Can someone help me find the solution or coordinates of these equations algebraically ?
y= -x^2 +4
y= 3x+4
Answer:
The solutions are (0, 4) and (-3, -5).
Step-by-step explanation:
Yes, first substitute y = 3x + 4 in the first equation:
3x + 4 = -x^2 + 4
x^2 + 3x = 0
x(x + 3) = 0
x = 0, -3
When x = 0 , y = -(0)^2 + 4 = 4 and
when x = -3 , y = -(-3)^2 + 4 = -9 + 4 = -5.
I really need to solve this quick.
Answer:
a)
Theoretical: 10/30 = 1/3
Experimental: 12/30 = 6/15
Step-by-step explanation:
the theoretical probability is if every number was rolled an equal amount of times. as there are 3 options and a number was chosen 30 times, if we divide 30 by 3 we will get the theoretical probability of choosing a 2
30 ÷ 3 = 10
the theoretical probability = 10/30 or simplified 1/3
the experimental probability is the result when one of the numbers from
1 to 3 were actually randomly selected 30 times. the chart shows that the 2 was selected 12 times out of 30 therefore the experimental probability = 12/30 or simplified 6/15
Theoretical:
fraction: 1/3
decimal: 0.33∞
percentage: 33%
Experimental:
fraction: 6/15
decimal: 0.4
percentage: 40%
I hope this was helpful :-)
Help please!!!! ;-; staph scrolling
[tex]y = 4^x \quad \to\quad y = - \frac 2 3 (4^{x+7}) - 5[/tex]
[tex]y=4^x[/tex]
OK, we'll go in steps. First a reflection through the x axis, which negates y.
[tex]y = -4^x[/tex]
Now a vertical scaling of 2/3
[tex] y = -\frac 2 3 \cdot 4^x[/tex]
Now we shift seven units to the right,
[tex] y = -\frac 2 3 \cdot 4^{x+7}[/tex]
Now down five,
[tex] y = -\frac 2 3 \cdot 4^{x+7} - 5[/tex]
There it is.
Answer: reflection thru x axis, vertical scale 2/3, right shift 7, down 5, second choice
Find the measures of the vertical angles shown. Show all work for full credit.
Answer:
40 degrees
Step-by-step explanation:
Look at the attachment
How much space will the tissue box take up on
my desk if the base dimensions are 3.5 inches
and 8 inches?
square inches
Answer:28
Step-by-step explanation:
3.5 times 8 is 28
Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to rent a lounge chair and umbrella each during their vacation. Lisa rented the chair and umbrella for 1 day less than Dan. The following equation represents this situation, 20x+15x+20(x-1) = 245. What is the total amount Dan paid to rent the lounge chair and umbrella during his vacation
Answer:
$151.88 costs to Dan algebraic form
$245/2 = $122.50+20+15 = 157.5 is the answer though.
Step-by-step explanation:
35x+20(x-1)
35x + (20x -1)
35x +20x -1
35x -20x-20
x= 53/11
53/11 = 4.81
4.81 x 20 = $96.20 on chairs
4.81 x 15 = 72.15 on umbrella
96+72 = 168.35
245-168.35 = 76.65
76.65 + 20 = 96.65
Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20
Added together his costs out of 245 was $104.37+ 76.65 = $181.20
Costs of umbrella = 76.65/2 = 39.325
181.20 -29.325=151.87 rounded up to 151.87
As x = 53/11 the decimal of this is 4.81 = x
The volume of the sphere is 904.32 m. To the nearest meter, what is the radius of the sphere????? Use 3.14 for pi.
Answer:
6
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Plugging in the values that you are given, you get:
[tex]904.32=\frac{4}{3}\pi r^3[/tex]
Dividing both sides by pi or 3.14:
[tex]288=\frac{4}{3}r^3[/tex]
Dividing both sides by 4/3:
[tex]216=r^3[/tex]
Taking the cube root of both sides:
[tex]r=6[/tex]
Hope this helps!
HURRY STRANGERS PLEASE I REALLY NEED THIS!!! A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company.
Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.
Answer:
Step-by-step explanation:
Base on my own understanding what should be done is that three stacks will not work, because it wont be a symmetric arrangement and also one will be left out. So, two stacks of five each would be better and easy to carry. But the stacks should be arranged in such a manner that the lengths will be parallel to each other and not in-line which would increase the length making it comparatively very long. its easier to hold a (2*8.5,11,2*5=17,11,17) compact box, because it will be easy to carry a long and not heavy.
You select a marble at random and then put it back. If you do this 4 times, what is the best prediction for the number of times you will pick an orange marble? A) 1 B) 2 C) 3 D) 4
Answer:
A) 1
Step-by-step explanation:
Next time can you add more information to this thanks
Mick is planning a party. He wants to serve pizza, chips, and soda Mick discovers that he can purchase one pizza for $11.80, one
bag of chips for $1.59, and one bottle of soda for $1.74. If Mick needs 12 pizzas, 15 bags of chips, and 15 sodas, which is a reasonable amount that he will spend on food for the party?
A. $204.00
B. $84.00
C. $58.00
D. $246.00
Answer:
A. $204.00
Step-by-step explanation:
Pizzas: 11.80*12=141.6
Chips: 1.59*15=23.85
Sodas: 1.74*15=26.1
Equation: 141.6
23.85
26.1
_______+
191.55 closest to $204.00
A picture frame holds 3 same-sized photos as shown. The distance between the photos is 1 inch. The distance from the edge of each photo to the edge of the frame is 1 inch. The picture frame holds photos that are 6 inches long and 4 inches wide. Question What is the area of the frame only? Answer options with 5 options A. 24 inches squared B. 48 inches squared C. 56 inches squared D. 72 inches squared E. 128 inches squared
Answer:48
Step-by-step explanation: 4+4+4+2 inch border+2 inch separators 16
6+2 inch border. 16+16+8+8
Answer:
C. 56
Step-by-step explanation:
1. Find combined area of the photos
1. Find the of one photo
[tex](6)(4)= A[/tex]
[tex]24= A[/tex]
2. Multiply by 3 because there are 3 photos
[tex](24)(3)=[/tex] area of photos
[tex]72=[/tex] area of photos
2. Find the area of the picture frame
1. Length:
the length of one photo is 6 and there is a 1 inch gap from the edge of the photo to the edge of the picture frame so
[tex]6+1+1=[/tex] length of the picture frame
[tex]6+2=[/tex]
[tex]8=[/tex] length of the picture frame
2. Width
the width of each photo is 4, there is 1 inch in between each photo, and there is a 1 inch gap from the edge of the photos to the edge of the picture frame so
[tex]4(3)+1+1+1+1=[/tex] width of the picture frame
[tex]4(3)+4=[/tex]
[tex]12+4=[/tex]
[tex]16=[/tex] width of the picture frame
3. Use these numbers to find the area of the picture frame
[tex]A =(16)(8)[/tex]
[tex]A=128[/tex]
4. Subtract the are of the photos from the area of the picture frame
[tex]128-72=[/tex]
[tex]56[/tex]
1: The value of an object after t years can be modeled by the function v(t) = 1500 - 120t
Find the value of the object after 20 years.
Answer:
5
Step-by-step explanation: