Please ASAP.
The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answers
Scale factor is [tex]\frac{14}{21}[/tex].
What is a scale factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
Given
The rectangle on the right is a scaled copy of the rectangle on the left.
[tex]\frac{42}{63}[/tex] and 15 ÷ [tex]\frac{45}{2}[/tex]
[tex]\frac{42}{63}[/tex]
Rationalizing [tex]\frac{42}{63}[/tex] by 45
= [tex]\frac{42(45)}{63(45)}[/tex]
= [tex]\frac{1890}{2835}[/tex]
15 ÷ [tex]\frac{45}{2}[/tex]
Rationalizing 15 ÷ [tex]\frac{45}{2}[/tex] by 63
= [tex]\frac{30(63)}{45(63)}[/tex]
= [tex]\frac{1890}{2835}[/tex]
If we want to find the scale factor we have to equal the proportions of two rectangles.
∴ Scale factor = [tex]\frac{1890}{2835}[/tex] = [tex]\frac{14}{21}[/tex]
Hence, scale factor is [tex]\frac{14}{21}[/tex].
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Related Questions
Which is the exponential form of the expanded form shown? (Two-fifths) (two-fifths) (two-fifths) (two-fifths)
Answers
Also shown as (2/5)^4
Since two fifths is being multiplied by itself 4 times, it is raised to the fourth power
A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters? (Note: do not include the units in your answer.)
Answers
Answer:
8000 for plato users
Step-by-step explanation:
Answer:
8000
Step-by-step explanation:
Department stores customer parking lot has four rows with an equal number of parking spots in each row. The loud also has 15 parking spots for store employees FC cars can be parked in each of the four main roles of the parking lot what is the expression for the maximum number of cars that can be parked in the parking lot.
Answers
Answer:
4c + 15
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW;
A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 parking spots for store employees. If c cars can be parked in each of the 4 main rows of the parking lot, what is the expression for the maximum number of cars that can be parked in the parking lot?
15c − 4
c(15 − 4)
4c + 15
4(c + 15)
✓We were told that the customer stores parking has Total number of 4 rows,
✓ for " c" cars to be parked in the 4 main rows i.e in each of them, we can calculate the overall numbers of car parked in the rolls as ( 4 × c)= 4c
✓ we were told that there are 15 parking spots available to employees in the store
✓ maximum number of cars that can fit into the parking lot will be ( 15 + 4c)
= 4c + 15
Solve 3 7/10-2 2/5 and explain how you got it please
Answers
Answer:
1.3
Step-by-step explanation:
just subtract it
Answer:
-7/10 is correct answer hope it helps
a) Which of the four curves, A, B, C or D,
is a sketch of the curve with equation y = 2* ?
A
b) Give the coordinates of any points of
intersection of the curve of y = 2with
the axes.
If there are no points of intersection
write, 'no points'.
(1)
Answers
Answer:
Step-by-step explanation:
What is 3.50 if it rose by 4000%
Answers
3.5 x 4000% = 140
Suppose you visit a restaurant with a salad bar containing the following choices: 10
dressings, 15 vegetables, 6 cheese toppings and 4 different crouton toppings. What is
the total number of possible salads you could create?
35
3600
150
900
Answers
Answer:
3600
Step-by-step explanation:
multiply all of the choices
10x15x6x4
The total number of possible salads you could create is 3600. so the correct option is B.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given the following choices: 10 dressings, 15 vegetables, 6 cheese toppings and 4 different crouton toppings.
Therefore, the total number of possible salads you could create;
Then multiply all of the choices
10 x 15 x 6 x 4
= 3600
Hence, The total number of possible salads you could create is 3600. so the correct option is B.
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Solve the proportion Round as necessary to the nearest tenth
Answers
Answer:
z=[tex]\frac{9}{2}[/tex]
Other posible answers:
z=4.5
or
z=[tex]4\frac{1}{2}[/tex]
Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog, d, he walks
Write an equation to find m, the total amount of money Hal earns in one week. Which variable in the equation is the dependent variable and which variable is the independent variable? Tell how you know
Answers
Answer:
Step-by-step ex
Chase plans to buy a new car and determines he can budget $725 monthly for four years. His bank is offering an 8 25% annual interest rate What is the maximum loan he can afford to stay in his budget? Use the formula, A = (p[(1 + r/n) ^ m - 1])/(1/n * (1 + r/n) ^ N) , where Pis the monthly payment, the annual interest rate, nis the number of times interest is compounded in one year and is the number of years.
Answers
Answer:
$29555.20
Step-by-step explanation:
Given that:
P = $725
r = 8.25% = 0.0825
n = 12
t = 4 years
From the given formula:
[tex]A = \dfrac{P{(1+\dfrac{r}{n})^{n*t}-1 } }{\dfrac{r}{n}(1+ \dfrac{r}{n})^{nt}}}[/tex]
[tex]A = \dfrac{725{(1+\dfrac{0.0825}{12})^{12*4}-1 } }{\dfrac{0.0825}{12}(1+ \dfrac{0.0825}{12})^{4\times 12}}}[/tex]
[tex]A = \dfrac{725{(1.3894-1 )} } { 0.006875 \times 1.3894 }[/tex]
A = $29555.20
Name two pairs of alternate exterior angles.
Answers
Answer:
Possible Alternate Exterior Angles:
5 and 4
1 and 8
9 and 16
13 and 12
Answer:
B.
Step-by-step explanation:
True or false
The graph of a linear equation is always horizontal line ?
Answers
Answer:
truef8y8y8gufu0fy9f8tft8
Answer:
true
Step-by-step explanation:
totoo po yn hindi ko po layo niloloko
can anyone help with this ??
Answers
Answer:
68
Step-by-step explanation:
Can someone please help me on this question and show the work if you can?
Answers
Answer:
it is a 60 30 90 triangle so basically 2y is = x
21² + y² = x²
441 + y² = x²
y = x/2 (2y = x)
441 + x²/4 = x²
4x² = 1764 + x²
3x² = 1764
x = exact is 24.248711306 simplied square root would just be 14√3
2y = 14√3
y = 7√3
exact wouldd be 12.124355653
SUMMATIVE TEST
ARALING PANLIPUNAN 4
QUARTER 2
tama
temeli
1
Panuto: Isulat kung TAMA O MALI ang mga sumusunod na pahayag.
1. Nakabatay ang hanapbuhay sa kapaligiran.
Gama 2. May interaksyon ang tao sa kanyang kapaligiran,
3. Malawak ang pangisdaan sa Pilipinas.
4. Magkakaiba ang produkto sa iba't-ibang bahagi ng bansa ayon sa kapaligiran.
5. Umaasa ang Pilipino sa gobyerno para matapos ang mga pangangailangan
6. Ang mga likas na yaman ay inaangkat natin sa ibang bansa
7. Ang climate change ay nagpapayaman sa Pilipinas
8. Ang polusyon ay nakaapekto ng mabuti sa ating kalusugan,
9. Ang pagre-recycle ay matalinong pangangasiwa ng mga bansa.
10. Ang likas na yaman ay maaaring maubos at mawala.
Answers
Answer:
1.mali
2.mali
3tama
4.tama
5.mali
6.tama
7.mali
8.mali
9.tama
10.mali
Homework #74
W
2. A tour group has $784 to spend on
tickets. If each ticket costs $7, how many
tickets will the group be able to buy?
Answers
-2x + 6 < 20 what is the answer?
Answers
Answer:
지금 당장받는 퀴즈에 대한 도움이 정말 필요 해요 ... 그냥 질문에 무작위로 답 해주셔서 ... 미안 해요 미안 해요 .. 또한 몬스타 엑스를 아시나요, 그들은 정말 좋은 그룹입니다
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Lola already has 6 pennies, and she plans to save more. In her first week
of saving pennies, she will save twice the number of pennies that she
already has. Each week after, she will save twice the number of pennies
as the previous week.
Which equation can be used to determine the number of pennies, P, Lola
will save during week w of saving pennies?
Answers
Answer: [tex]P=6(2)^{w-1}[/tex]
Step-by-step explanation:
Here, the money saved each week follows geometric progression with a common ratio r= 2 and first term a= 6.
In geometric progression, nth term = [tex]ar^{n-1}[/tex]
Substitute r= 2 , a= 6 and n=w, we get
wth term = [tex]6(2)^{w-1}[/tex]
The equation can be used to determine the number of pennies, P, Lola will save during week w of saving pennies:
[tex]P=6(2)^{w-1}[/tex]
x/7 > -2
What is the answer and it says your answer must be simplified
Answers
Answer:
x>-14
Step-by-step explanation:
x/7>-2
x>-14
Please look at picture and answer the simplifying part
Answers
Answer:
3/10
Step-by-step explanation:
it is completely simplified already
At a sale, shirts were sold for $16 each. This price was 80% of their original price. What was the original price?
Answers
Answer:
$20 was the original price. 16÷20= .8=80%
Answer:
The original price is 100%. and 80%
Step-by-step explanation:
The original price is 100%. and 80%=$15. ⇒1%=$1580=$0.1875. ⇒100%=$0.1875×100=$18.75.
what ya'll think????
Answers
Answer:
Wow that is amazing!
Step-by-step explanation:
Also thanks for the free points :D
Have a great day <3
Work out the perimeter of the shaded shape
3cm
4cm
9cm
6cm
The diagram is not drawn to scale.
__cm
Answers
Answer:
32cm
Step-by-step explanation:
Perimeter of the shaded shape is the sum of all the sides
To unknown side = 4cm + 6cm = 10cm
Perimeter of the figure = 3cm + 4cm + 6cm + 9cm + 10cm
Perimeter of the figure = 32cm
Hence the Perimeter of the figure is 32cm
4cm
9cm
6cm
The diagram is not drawn to scale.
__cm
If 50% of a number is 170 and 20% of the same number is 68, find 70% of that
number.
Answers
The answer to this is 119
PLEASE HELP ILL MARK BRAINIEST
Examine the work shown. Explain the error and find the correct result.
2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54
Answers
Answer:
the answers supposed to be 6
2*(-12) would be -24 that's what screwed up the equation
Step-by-step explanation:
Answer:
The error is in the middle: 2(-12) = -24 not 24
Step-by-step explanation:
The areas of the squares adjacent to two sides of a right triangle are shown below.
? units?
35 units
50 units
What is the area of the square adjacent to the third side of the triangle?
Answers
Answer:
85
Step-by-step explanation:
All you do is add 35 units and 50 units together.
Area of the square adjacent to the third side of the triangle is 85 units square
What is Pythagoras theorem?Pythagoras theorem states that a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Given that areas of the squares adjacent to two sides of a right triangle are :
35 sq units
50 sq units
To determine the area of the square adjacent to the third side of the triangle
According to Pythagoras theorem,
Hypotenuse² = Base² + Perpendicular²
As figure is missing assuming given sides are perpendicular sides
Then Area of the square adjacent to the third side of the triangle = 35 + 50
= 85 units square
Now, assuming 50 sq unit is an area on hypotenuse
Then Area of the square adjacent to the third side of the triangle = 35 - 50
= 15 units square
Learn more about Pythagoras theorem here:
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Help someone please? And makes sure the answer is right please and thank you :)
Answers
Answer:
x=7
Step-by-step explanation:
In this question, since the horizontal lines are parallel lines, these two angles are congruent to each other.
So we have: 105=16x-7
Equation: 105=16x-7
Add 7 to both sides: 112=16x
Divide by 16 on both sides: x=7
Let me know if this helps!
Suppose each block is 300 ft long. Suppose I could fly and walk through people’s houses and yards so that I could travel a straight line from my house to the library. What distance would I travel?
Answers
Answer:
1615.55 ft
Step-by-step explanation:
The coordinates for house (300,300)
Library coordinate =(1800, 900)
Distance between two points :
D = sqrt[(x2 - x1)² + (y2 - y1)²
D = sqrt[(1800 - 300)² + (900 - 300)²
D = sqrt[(2250000 + 360000)]
D = sqrt[(2610000)]
D = 1615.5494
D = 1615.55 ft
look at the graph of a line and write its equation
Answers
Answer:
y = 5x + 0.25
Step-by-step explanation:
M is the slope which is 5 units y per 1 x unit. B is the y-intercept which seems to be 0.25.
Question 4 (1 point)
The organizers of a concert are preparing for the arrival of 50,000 people in a field. Each person is alloted 5 square ft of space, so the
organizers rope off a circular area big enough to account for 5 square feet per person. Find the radius of this region, rounding to the nearest
foot.
Answers
Answer:
Radius of park r = 282.04 ft (Approx)
Step-by-step explanation:
Given:
Number of people = 50,000
Each person needs area = 5 ft²
Park's is in shape of circle
Find:
Radius of park r
Computation:
Total area required = 50,000 x 5
Total area required = 250,000 ft²
Area of circular park = Total area required
πr² = 250,000
(22/7)r² = 250,000
r² = 79545.4545
r = 282.04 ft
Radius of park r = 282.04 ft (Approx)