The scale factor that takes the original H-shaped polygon to its smaller copy is 1/4, which is the ratio of the lengths of corresponding sides in the copy and the original.
When a polygon is scaled, each side is multiplied by the same factor to create the corresponding side in the smaller copy. The scale factor is the ratio of the lengths of corresponding sides in the copy and the original.
Let's denote the scale factor as k. In this case, we are given that the smaller copy is a scaled version of the original, so the lengths of corresponding sides in the copy and the original are related by the scale factor:
[tex]Scale\ factor\ \(k = \frac{\text{Length of corresponding side in copy}}{\text{Length of corresponding side in original}}\)[/tex]
Given that the scale factor [tex]\(k = \frac{1}{4}\)[/tex], it means that each side in the smaller copy is one-fourth the length of the corresponding side in the original.
For example, if the original H-shaped polygon has a side of length 5 units, the corresponding side in the smaller copy would be [tex]\(5 \times \frac{1}{4} = 1.25\)[/tex] units.
This process applies to all sides of the original H-shaped polygon, and each side's length is multiplied by the scale factor to get the corresponding side length in the smaller copy.
So, the scale factor that takes the original H-shaped polygon to its smaller copy is indeed 1/4), which represents the ratio of the lengths of corresponding sides in the two polygons.
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I am giving brainliest pls help asap
10a²+3b-5a-a²+5b; a=-3 b=5
Answer:
136
Step-by-step explanation:
Substitute the values for the variables.
[tex]10(-3)^2+3(5)-5(-3)-(-3)^2+5(5)\\\\90+15+15-9+25\\\\136[/tex]
4/5 as an equivalent fraction in 3 different forms.
Answer:
Equivalent fraction of ⅘:
[tex] \frac{4}{5} = \frac{8}{10} = \frac{12}{15} = \frac{16}{20} [/tex]
Estimate the sales tax and final cost of a book that costs $12.95 with a sales tax
of 6%.
Step-by-step explanation:
1.06 × 12.95
13.727
which is 13.73 to find the sales tax subtract it from the original
12.95 - 13.73
which is about 28 cents or 0.28
2 = 2.27 - m/4
I am so bad at math, lol! ^^ HELP ME PWEASE!
Answer:
m = 1.08
Step-by-step explanation:
Subtract 2.27 from both sides.2 - 2.27 = -m/4
Simplify 2 - 2.27 to -0.27.-0.27 = -m/4
Multiply both sides by 4-0.27 × 4 = -m
Simplify -0.27 × 4 to -1.08.-1.08 = -m
Multiply both sides by -1 (-m is also known as -1)1.08 =m
Answer:
m = 1.08
Step-by-step explanation:
Basically, we can start off by finding the difference between 2 and 2.27(which is 0.27). Then we can see that 0.27 is equal to m/4. Since 0.27*4=1.08, we can see that m=1.08.
how much would $500 invested at 5% interest compounded continuously be worth after 8 years?
a: $700
b:$709.58
c:$745.88
d.$738.73
Answer:
D
Step-by-step explanation:
We will need to use the compound interest formula:
A = P(1 + r)ⁿ
A = final amount
P = Initial amount
r = rate
n = time applied
Our equation will then look like this
A = 500(1.05)⁸
A = 738.72772
How many quarts of water should be added to 6
quarts of 80% antifreeze solution to dilute it down
to 30%?
Answer:
Step-by-step explanation:
Evaluate the expression, given functions f and h:
f(x) = 3x − 1,
h(x) = −2x2 + 3x − 2.
f
7
3
− h(−2)
Write 4 2/5 as an improper fraction
22/5
Explanation-
First, multiply 4x5, Then you get the product 20. With that 20, add with 2, so, 20+2=22. Now, place denominator as it is, then write 22 as numerator. So you get the answer as 22/5.
Working-
4×5=20
→ 20+2=22
→ 22
→ 22/5
Find the value of A, if ∛500 × A =10
Answer:
A = 10 / 500 ^ (1/3)
A = 10 / 7.9370052598
A = 1.2599210499
Step-by-step explanation:
Paul joins a gym. He paid $50 as an initial fee and then pays $30 each month. Set up and solve an equation to find out how long has he been at the gym if he has paid $260
Answer:
the equation you would use: y = 30x + 50
(x= months)
(y= cost)
then you would plug in the cost, 260, for y to get
260 = 30x + 50 --> 7 months
Step-by-step explanation:
I got the equation from the slope intercept form y = mx +b.
The 30 is the m, or slope, because you end up paying the same amount every month. The b value would be the 50 that he initially pays because that never changes.
Since you're given the y-value of 260, you just plug it in to your new equation of y = 30x + 50 to solve for x.
when solving the equation with the plugged in numbers, (260 = 30x + 50) first subtract 50 from both sides to get 210 = 30x,
then divide by 30 on both sides (to keep the equations equal to each other and find x) --> you should get 7
Therefore, Paul has been at the gym seven months if he has paid $260.
4. Express the following rational number in its lowest form :
) − 60/72
) − 24/36
)91/364
Answer:
-60/72 = -5/6
-24/36 = -2/3
91/364 = 45/182
Create two equivalent ratios for 3/5
Answer:
its equivalents can be 3/5*2 =6/10 = > 6:103/5×2=6/10=>6:10
second equivalent is 3/5*3=9/15= > 9:153/5×3=9/15=>9:15
Answer:
30/50, 6/10, 15/25, 300/500
actually as a ratio it should be:
30:50 , 6 : 10, 15:25, 300:500
Step-by-step explanation:
It is angle measure please help
Opposite angles are equal
[tex]\\ \rm\longmapsto m+357=4m+6[/tex]
[tex]\\ \rm\longmapsto 357-6=4m-m[/tex]
[tex]\\ \rm\longmapsto 3m=351[/tex]
[tex]\\ \rm\longmapsto m=\dfrac{351}{3}[/tex]
[tex]\\ \rm\longmapsto m=117[/tex]
Between 8.5% and 9.4% of the city's population uses the municipal transit system daily. According to the latest census, the city's population is 785,000. How many people use the transit system daily?
Given:
City's population= 785,000.
Calculating of city's population:
[tex]\to \bold{785000 \cdot 8.5 \% = 785000 \cdot \frac{8.5}{100}=785000 \cdot \frac{\frac{85}{10}}{100}}[/tex]
Calculating the complex fraction:
[tex]\to \bold{\frac{\frac{85}{10}}{100}, \text{write as 100 like} \ \frac{100}{1}}[/tex]
[tex]\to \bold{785000 \cdot \frac{ \frac{85}{10}}{100}=785000 \cdot \frac{\frac{85}{10}}{\frac{100}{1}}=785000 \cdot \frac{85}{1000}=66725}[/tex]
Therefore, [tex]\bold{8.5\% \ of\ 785000\ is\ {66725}}[/tex]
Calculating [tex]\bold{9.4\%}[/tex] of the city's population:
[tex]\to \bold{9.4\% (\frac{9.4}{100})}:\\\\\to \bold{785000 \cdot 9.4\% = 785000 \cdot \frac{9.4}{100}=785000 \cdot \frac{\frac{64}{10}}{100}}[/tex]
Calculating the complex fraction:
[tex]\to \bold{ \frac{\frac{94}{10}}{100}\ \text{write 100 as} \ \frac{100}{1}}\\\\\to \bold{785000 \cdot \frac{\frac{94}{10}}{100}=785000 \cdot \frac{\frac{94}{10}}{\frac{100}{1}}=785000 \cdot \frac{94}{1000}=73790}\\\\[/tex]
Therefore, [tex]\bold{9.4\%\ of\ 785000\ is\ {73790}}[/tex]
So, the final answer is "Between 66725 and 73790 people use the transit system daily".
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contesteneme doy coronita y 25 puntos tambien 5 estrellas
Answer:
4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80
2 times a number is 12.
How do you right that in equation form
Answer:
2 * x = 12
Step-by-step explanation:
Answer:
2x = 12
Step-by-step explanation:
let the number be x then 2 times the number is 2x. so
2x = 12 ← in equation form
The sum of 9 and y is less than -21.
Translate the Sentences into an inequality
Answer:
9 + y < 21
Step-by-step explanation:
A quarterback is sacked for a loss of seven yards, then again for a loss two more
yards. He then completes an eighteen yard pass. Represent the team's overall gain
or loss as an integer.
Answer: yard:
Answer:
+9 yards
Step-by-step explanation:
Sacked for 7 then another 2 for a total of 9 yards.
Then he gains 18 yards.
18 - 9 = 9
what is the commutative property in "r+v"
PLEASE ANSWER QUICKLY if you can
Answer:
[tex]we \: know \: commutative \: prop \\ \: x + y = y + x \\ then \: r + v = v + r \\ thank \: you[/tex]
Help please.
Simplify: 2 + 3i / 4 + 2i
Answer:
○ [tex]\displaystyle \frac{7 + 4i}{10}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}[/tex]
When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.
* Here is something you should know:
[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four][/tex]
I am joyous to assist you at any time.
WILL GIVE BRAINLIEST TO WHOEVER CAN EXPLAIN:
True or False-in scientific notation when you move the decimal point left is it positive.
Answer:
false.
Step-by-step explanation:
just cause you move a decimal point to the left dosent mean its positive.
Write a word problem that could be solved by the equation in problem 8 .
3 1/2 [tex]3 1/2 divided by 7/8= 7/2*8/7= 56/14 =4[/tex]
The word problem is " In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there".
The given expression is 8÷2/3
We need write a word problem which is solved by the above expression.
Word problem : In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there.
Solution
[tex]x[/tex]* × 2/3 =8
Divide both sides by 2/3.
x=8/2/3
x= 8×3 / 2
x= 12
Therefore, the total number of students is 12.
solve for X...........
Answer: First Choice. no solution
Step-by-step explanation:
Given
5 (x + 1) ≤ 5x + 3
Expand parentheses and apply the distributive property
5x + 5 ≤ 5x + 3
Subtract 5x on both sides
5x + 5 - 5x ≤ 5x + 3 - 5x
5 ≤ 3
5 ≤ 3 is not true, therefore, there is no solution.
Hope this helps!! :)
Please let me know if you have any questions
solutions to the quadratic equation x^2+3x-28=0
Answer:
look on the graph
Step-by-step explanation:
the solutions are x = -7 and x=4
Answer:
x = -7 ; x=4
Step-by-step explanation:
The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]
Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions. y=2x-3 y=-x+3
hope it is help full
Step-by-step explanation:
mark me a brainlistPLEASE HELP GIVIBG BRAINIEST AWNSER WORTH 32 POINTS
A cell phone company offers two different monthly plans.
Plan A costs a flat rate of $0.10 per minute for all calls. Plan B costs $29.99 for
the first 500 minutes and $0.08 for each additional minute. Which plan is less
costly if a person uses 750 minutes per month? Explain.
Answer:
The Best is B = 44.985
Step-by-step explanation:
(A)First thing is that 0.10 times 750 is 75$
(B)but the 29.99 divided buy 500 equal 0.05998.
then you multiplier by 750 which equal 44.985.
this is the best way I hope this helps :)
Is the expression 2•4 x equal to the expression 8x? Explain your answer
Answer : Yes
Step-by-step explanation:
Answer:
[tex]true[/tex]
Step-by-step explanation:
Simplify the expression:
[tex]2 \times 4x[/tex]
Multiply the monomials:
[tex]8x[/tex]
Check equivalency:
[tex] \frac{8x}{8x} [/tex]
Check equivalency:
[tex]true[/tex]
I WILL GIVE 50 POINTS (WOW IKR 50) TO PEOPLE WHO GET THIS RIGHT. NO SCAMMING PLEASE
Answer:
232 units
Step by step explanation
Loretta placed 9 teaaspoons in each 2 bowls. Show many teaspoons did she use
f(x) = 1/x; Find f (1/10)
Answer:
f(1/10)=10
Step-by-step explanation:
f(x) = 1/x
f (1/10)=1/(1/10)=1·(10/1)=10