After the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.
What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.Given is to find how dilation affect the side lengths and angle measures of a figure
Assume that the initial length of the figure
After the dilation, the coordinates will become -
(x, y) → (Kx, Ky)
Where {K} is the scale factor by which the image is dilated.
The angles after the dilation remain same.
Therefore, after the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.
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arlene begins a test with a possible total of 80 points. she loses 2 points every questions she answers incorrectly.
Answer: how many questions were incorrect? take that number and multiply it by 2. then subtract whatever u got from 80.
Step-by-step explanation:
In the drawing below, QS bisects ZPQR,PO = 9 units, PS4 units, and RS-3 units.
What is OR in units?
O A 21
O B. 12
O C. 8
o D. 6 3/4
9514 1404 393
Answer:
D. 6 3/4
Step-by-step explanation:
The angle bisector divides the sides proportionally:
QR/PQ = RS/PS
QR = PQ×RS/PS = 9×3/4
QR = 6 3/4
A farmer needs to purchase a rainwater harvesting tank and is deciding on the shape. He needs a tank that can hold at least 90 cubic feet of water. Select all the tanks that have a capacity of at least 90 cubic feet.
Answer:
Tank A and Tank D
Step-by-step explanation:
Got it right
The tanks that have the capacity more than 90 cu.ft is Tank A and C.
What is Volume?Volume is the amount of space occupied by a three dimensional object, it is represented in cubic units.
The volume of a Cylinder is given by
V = πr²h
The Volume of a Cone is given by
V= πr²h/3
The volume of the composite figure in Tank A and D,
Volume = Volume of cylinder + Volume of Cone
Tank A :
Volume = πr²h + πr²h/3
Volume = ( π * 2.5² * 4 ) + ( π *2.5² *2 )/3
Volume = 91.58 cu.ft
Tank B :
Volume = πr²h/3
Volume = π * 4² *5 /3
Volume = 83.7 cu.ft
Tank C
Volume = πr²h
Volume = π * 2² * 6
Volume = 75.36 cu.ft
Tank D:
Volume = πr²h + πr²h/3
Volume = π * 3²*3 + π *3²* 3 /3
Volume = 113.04 cu.ft
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Cups cost x dollars each. Mugs cost (x + 2) dollars each. (a) Write down an expression, in terms of x, for the total cost of 12 cups and 6 mugs. ............................................................................... dollars (2) (b) The total cost of 12 cups and 6 mugs is 57 dolllars.
work out the cost of 1 cup
Answer:
a. [tex]18x + 12[/tex]
b. $2.50
Step-by-step explanation:
a. If there are 12 cups and 6 mugs, and one cup is x and 1 mug is x+2, then multiply to get 18x + 12
b. Use the previous equation 18x+12=57 to get your answer. First move the 12 over to change the 57 to a 45. Then divide 45/18 to get 2.50 as you answer.
(x + 5)(5 + x)
is this a perfect square
Answer:
NO this isn't a perfect square
Step-by-step explanation:
2/5 part of the total number of students of a school are girls . If there are 240 boys, find the number of girls
Answer:
160 girls
Step-by-step explanation:
2/5 = girls
3/5 = boys
3/5 = 240
to find 1
240/3
80
2/5 = 160
Working alone, it takes Chelsea 13 hours
to tar a roof. Ashley can tar the same roof
in 9 hours. How long would it take them
if they worked together?
Answer:
24 hours
Step-by-step explanation:
hoped this helped
32/w=4/12 on proportions on get more math
Answer:
w=96
Step-by-step explanation:
4x8= 32 so 12x8= 96 therefor it is 32/96
pls help hurry man cmon
Answer:
associative property of addition.
In step 3:
1 + 19
20
Here we will add the integers, so division and multiplication eliminated.
Inverse property of addition is: a + (-a) = 0, which will result 0 alwaysIndicate which property is illustrated in step 3?
[tex] \rm \: Step \: 3 \asymp > 1 + 19[/tex]
Associative property of additionThis property states that when performing addition, how numbers are grouped will not change the resulting sum...~
Find the solutions to the equation 102x 11 = (x 6)2 – 2. which values are approximate solutions to the equation? select two answers. –9.6 –7.4 –4.6 –2.4 0.6
The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadratic equation is given below.
102x + 11 = (x + 6)² – 2
Open square, we have
102x + 11 = x² + 12x + 36 – 2
x² – 90x + 23 = 0
By the formula, we have the value of x
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{90 \pm \sqrt{(-90)^2}-4*1*23}{2*1}\\\\x = 89.74, 0.256[/tex]
The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.
More about the quadratic equation link is given below.
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Answer:
A and D just did on edge
Step-by-step explanation:
If f(x) = x + 2 and g(x) = 3x +4, then (g°f)(x) = ?
A) 3x +6
B) 3x +10
C) 3x² + 6x +4
D) 3x² - 10x +6
Answer:
B
Step-by-step explanation:
Plz plz plz help me !!!!!!!!!!!
Answer:
look at any notes, to bits at a time hope this helped!
Step-by-step , explanation:
=======================================================
Explanation:
"six subtracted from x" translates to "x-6"
So the word problem updates to "x-6 is less than -15"
Then we replace the "is less than" with "<" without quotes.
---------
Extra info: If you want to solve for x, then we add 6 to both sides like so
x-6 < -15
x-6+6 < -15+6
x+0 < -9
x < -9
So any number smaller than -9 will work in place of x.
....Could you please HELP me....
Answer:
the answer is +4 because if you count it it is going up in fours
Please I need answers for this one or two are fine
Answer:
a:1100....b:11000....c:110000
Step-by-step explanation:
Answer: A= 1100
B= 11000
C= 110000
Step-by-step explanation:
At this rate how long will it take the plane to land? Fill in the blank.
The plane will land in ________ minutes.
18d+6e what is the awnser
Answer:
6(3d+e)
Step-by-step explanation:
Simplify this equation 8x-4+6x+15
Answer:
14x + 11
Step-by-step explanation:
Collect all the like terms together.
Positive 8x and positive 6x both have an x so after adding them together you get 14x. Negative 4 and positive 15 are also like terms so after adding them together you get positive 11.
The final answer being 14x + 11
Answer:
14x + 11
Step-by-step explanation:
8x - 4 + 6x + 15 =
8x + 6x + 15 - 414x + 15 - 414x + 11simplify this equation is 14x + 11
PLESE ANSWER NUMBER 8 ASAP !!!!!
Answer:
the first one
Step-by-step explanation:
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $74. A season ski pass costs $350. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
Answer:
5 days
Step-by-step explanation:
On 5 days the daily pass would cost $495 while the season past would cost $475.
i need help on putting my students grades in online
Answer:
Coffee might help
Step-by-step explanation:
and a good rest and then some healthy salad :)
Make a number line and mark the points that represent the following values of x. 5x<12
Answer:
The answer is: x < 2.4
Step-by-step explanation:
5x < 12
If we divide both sides by 5, we get an equation like this:
x < 12/5
Then we can convert that fraction to a decimal and we get this!
x < 2.4
Finally, in order to draw it on the number line, we need to do this:
Find 2.4 on the number line, then draw an open circle on that 2.4. Then, attach an arrow going from that circle all the way to the left of the number line! The circle and arrow represents the fact that "x" is not equal to 2.4, but it is smaller. If it was equal to 2.4 or smaller, then the open dot would have to be a closed dot!!!!
Help!!!
x ≥ 4 if and only if 3x ≥ 12.
Answer: If 3x ≥ 12 then x ≥ 4 is true.
But x can be greater than or equal to 4 in other conditions:
4x ≥ 16
-3x ≤ -12
Step-by-step explanation:
Find the slope of the line that passes through (5, –6) has a y-intercept of –16.
Answer:2 I think
Step-by-step explanation:
(5,-6) (0,-16) -16- -6/0-5 = -10/-5 = 2
A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the birdhouse and the pole? How do you put this in ratio form??
17 divivded by 5214 answer
Answer:
0.0032604526275412351361718450326
Step-by-step explanation:
17 divided by 5214 is 0.0032604526275412351361718450326
Hope I helped :)
Please consider Brainliest :)
Answer:
306.705882353
Step-by-step explanation:
Huilans age is two times Thomas’s age. The sum of their age is 15. What is Thomas age? (Please help!)
Answer:
huilans age is 10 and thomas is 5. 5 is half of 10, and 5 and 10 add together to make 15
Step-by-step explanation:
dont ask for working because i dont know what working to write :(
Could somebody help me understand how to solve this to find how many solutions there are?
Answer:
Exactly one solution.
Step-by-step explanation:
Need help asap giving 15 points!!
Answer:
15
Step-by-step explanation:
its a 4x4 so 16 but you subtract the area of the small square that is covering it which is 1 so 16-1 = 15
What is the length of PR?
A. 7
B. 8
C. 6
D. 9
Answer:
C
Step-by-step explanation:
The triangles are similar by the AA postulate, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{PQ}[/tex] = [tex]\frac{AC}{PR}[/tex] , substitute values
[tex]\frac{20}{5}[/tex] = [tex]\frac{24}{PR}[/tex] ( cross- multiply )
20PR = 120 ( divide both sides by 20 )
PR = 6 → C
Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight.
Answer:
∠ ABC∠CBA∠B∠1ObtuseHope this is helpful