Answer:
The scale factor of the dilation is 2
Step-by-step explanation:
The given vertices the ΔFGH are;
F(2, 1), G(4, 1), and H(4, -1)
The lengths of the sides of the triangle ΔFGH are;
The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2
The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2
The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2
After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;
The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)
The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4
The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2
The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4
The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH
Therefore, the scale factor of the dilation is 2.
What is the product of twenty hundredths and sixty-five thousandths
Answer:
0.013
Step-by-step explanation:
The product of twenty hundredths and sixty-five thousandths is 0.013.
Given that, the product of twenty hundredths and sixty-five thousandths.
What is the product of two fractions?The product of two fractions is the product of the numerators and the product of the denominators.
Product of two fractions = Product of their denominators / Product of their numerators.
Twenty hundredths = 20/100
Sixty-five thousandths = 65/1000
Product = 20/100 × 65/1000
= 2/10 × 65/1000
= 130/10000
= 13/1000
= 0.013
Therefore, the product of twenty hundredths and sixty-five thousandths is 0.013.
To learn more about the product of two fractions visit:
https://brainly.com/question/7335118.
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PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?
Answer:
the answer is c
Step-by-step explanation:
good luck
Answer:
last option
Domain: -3,-1,2,5 Range: 0,2,4
It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!
Step-by-step explanation:
The domain is the x values and the range is the y values.
Hope this helps!
The price of a smartphone increased from $25 to $40. Find the percent
increase
Answer:60% increase
Source:trust me bro
Answer:
= 60% increase
Step-by-step explanation:
Evaluate the expression when a= 3 and b = 43.
b-5a
Answer:
28
Step-by-step explanation:
PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW
Answer:
a
Step-by-step explanation:
Answer:
I think its the number of months
Step-by-step explanation:
It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.
Hope this helps:)
Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds
Answer:
12 pounds
Step-by-step explanation:
You have to divide the mass value by 16.
Simon bought 3.5 pounds of Beef on sale for $1.25 per pound at HEB. If Simon gave the cashier $10.00, how much change would he receive from this purchase?
Answer:
5.625
Step-by-step explanation:
PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x
Step-by-step explanation:
multiply all the numbers by 4 I think except for the exponent
Answer:
i-i13/2 hope this helps
Step-by-sitep explanation:
Find the difference.
89 – 52.05
A. 36.95
B. 35.95
C. 37.95
D. 37.05
There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !
Answer:
304.8 millimeters
Step-by-step explanation:
Answer:
0.003
Step-by-step explanation:
please solve this i need this answer
Answer:
GHC
Step-by-step explanation:
Answer:
the co-interior angle of angle AGH is Angle GHC.
Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.
Answer:
100feet
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
y = 100 feet
Hence the maximum height reached by the object is 100feet
A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.
Answer:
28 shirts
Step-by-step explanation:
Let's see what we are given.
there are x amount of shirts ($616 total)
there are 12 in a dozen
the regular shirts are $16
the last 12 shirts are $14
Lets make an equation.
616= 14(12) + 16x
616=168+16x
448=16x
x=28
(Sorry if this explanation is bad)
Write a linear equation in slope intercept form of a line with a slope of 12 and the point (0, 10).
y = 12x - 10
y = 12x + 10
y = 10x + 12
x = 10y - 12
20 point question
simplify: −3x+2x-2y-5x+y+7y
Answer:
6y - 6x
I hope this helps!
Step-by-step explanation:
1. Find the like terms
-3x, 2x, -5x,
-2y, y, 7y
2. combine the like terms
-6x+6y
An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?
Answer:
The bridge is 80 feet long
Step-by-step explanation:
We will use the ratio method to solve the question
∵ The engineer used the scale 3 inch = 40 feet
∴ The scale drawing is ⇒ 3 inche : 40 feet
∵ The drawing length of the bridge is 6 inches
→ By using the ratio method
→ inch : feet
→ 3 : 40
→ 6 : x
→ By using cross multiplication
∵ 3 × x = 6 × 40
∴ 3x = 240
→ Divide both sides by 3
∴ x = 80
∵ x represents the actual length of the bridge
∴ The bridge is 80 feet long
(Timed) Solve the system of equations work shown
Substitution Method
For x:
[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]
For y:
[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]
Solution:
[tex](14, 15.5)[/tex]
Graphing Method
According to this graph, the solution will be [tex](14, 15.5)[/tex].
Plz need help rn What is m
Answer:
measure of angle p=
94
Step-by-step explanation:
ok 5 sided polygon= 540
so put all of those equal to 540
need to find x first
540=132+(4x-10)+(5x-11)+128+(4x+2)
simplify and combine like terms
x=23
now plug in for angle p
(4(23)+2)
94
Anyone know this pls help me
carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?
Answer:
24 pies
Step-by-step explanation:
Let x represent the number of pies and set up an equation:
6x = 3.75x + 54
Solve for x:
6x = 3.75x + 54
2.25x = 54
x = 24
So, Carrie and Joel have to sell 24 pies to break even
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
12 cups= 3 quarts
there ya goo
how do you find the y - intercept (explain in sentences)
Solve x for me please I need it!!!
Answer:
The angle x° = 34°
Step-by-step explanation:
Given the right-angled triangle
right angle = 90° Given the angle = 56°We know that the sum of angles of a triangle = 180°
so
90° + 56° + x° = 180°
x° = 180°- 90° - 56°
x° = 34°
Therefore, the angle x° = 34°
Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?
Answer:
A haircut costs $31
Coloring hair costs $93
Step-by-step explanation:
h = haircut
c = color
First equation: 1h + 2c = 217
Second equation: 2h + 1c = 155
Solve using elimination:
First, multiply both the equations so that they cancel the h's out:
First equation:
-1(2h + 1c = 155)
-2h - 1c = -155
Second equation:
2(1h + 2c = 217)
2h + 4c = 434
Then, put the equations together, and solve:
2h + 4c = 434
-2h - 1c = -155
3c = 279
c = 93
Find h:
2h + 1c = 155
2h + 1(93) = 155
2h + 93 = 155
2h = 62
h = 31
Hope this helped!
PLS HELP!!
What is the volume of a cone with a radius of 5 inches and a height of 12 inches? (Use 3.14 for .)
942 cubic inches
314 cubic inches
376.8 cubic inches
125.6 cubic inches
Answer:
The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.
Step-by-step explanation:
i think thats it it was right on gogle
Given the functions f(x) and g(x + 2) - 4, what translation(s) to the graph of f(x) is (are) done so that the graph of g(x) is obtained from the graph of f(x)?
Answer:
my mom calls me I'll be back
A student has a container with the volume 1.5 liters. She estimates the volume to be 1.2 liters. By what percent is the student's estimate off? I don't need a step-by-step explanation, I just want the right answer.
Answer:
20%.
1.2/1.5 = 0.8
0.8*100 = 80%
100%-80% = 20%.
We can verify this:
1.5-20% = 1.2.
Answer: 20%
Step-by-step explanation:
which is another way to write 42 + 63?
Answer:
B
Step-by-step explanation:
The sum of 42 + 63 is equal to 105.
B is the only answer that matches the sum of 42 and 63.
7 * 15 = 105
:3))
please help
Greater than
Less than
or Equal to
How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?
A.
3y - X = -6
4y - x = 44
B.
3y + x = -6
4y + x = 44
C.
3y - 3x = -6
4y - 4x = 44
D.
3y + 3x = -6
4y + 4x = 44
Answer: c
Step-by-step explanation:
bc i said