Given:
The areas of two similar squares are 16m² and 49m².
To find:
The scale factor of their side lengths.
Solution:
We know that the ratio of the areas of the similar squares is proportional to the ratio of square of there sides.
[tex]\dfrac{\text{Area of first square}}{\text{Area of second square}}=\dfrac{(\text{Side length of first square})^2}{(\text{Side length of second square})^2}[/tex]
[tex]\dfrac{16\ m^2}{49\ m^2}=\dfrac{s_1^2}{s_2^2}[/tex]
[tex]\dfrac{4^2}{7^2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex]
[tex]\left(\dfrac{4}{7}\right)^2=\left(\dfrac{s_1}{s_2}\right)^2[/tex]
Taking square root on both sides, we get
[tex]\dfrac{4}{7}=\dfrac{s_1}{s_2}[/tex]
[tex]\dfrac{s_1}{s_2}=\dfrac{4}{7}[/tex]
Now, the scale factor is the ratio of side length of second square to the side length of first square.
[tex]k=\dfrac{s_2}{s_1}[/tex]
[tex]k=\dfrac{7}{4}[/tex]
Therefore, the scale factor of their side lengths is [tex]k=\dfrac{7}{4}[/tex].
Answer: 4/7 is the right answer on Acellus
Step-by-step explanation:
given the graph of g (x) below determine g (1)
Answer:
-2
Step-by-step explanation:
NO LINKS ACCEPTED -The robot factory is a learning center where children can build robots. The project fee per visit is $15 and each hour of time (x) at the factory costs $4. Jesse goes to the robot factory one afternoon and was charged $40 for the visit. Write an equation that models this situation where X is the number of hours Jesse stands at the robot factory
Answer:
15 + 4x = 40
Step-by-step explanation:
To construct this equation, we'll list all the values we will include first.
The total fee equals $40, so we'll put 40 on one side of the equation.
On the other side, we have to put the values that make up the total. The fee is made with the project cost plus the hourly rate. The first part of this is the beginning cost, $15. Added to this is the hourly cost, $4, times the number of hours spent. So, the other side of the equation is 15 (the starting cost) plus 4 (the rate) times x (the unknown number of hours).
So, our equation is 15 + 4x = 40.
Good luck ^^
help please 5th grade math
Answer:
Stanley needs 31 feet and 2 inches of fencing.
Step-by-step explanation:
In order to answer this problem, you need to find the perimeter of the dog run.
Since: [tex]P=2(l+w)[/tex]
and [tex]l=149[/tex] inches & [tex]w=56[/tex] inches
Plug in what we know :
[tex]P=2(149+56)[/tex]
and solve:
[tex]P=410[/tex] inches
The dog run has a perimeter of 410 inches.
However, now we need to subtract 36 inches since the gate doesn't need fencing.
[tex]410-36=374[/tex] inches.
The dog run needs 374 inches of fencing.
In order to find out how many feet of fencing that is, divide it by 12.
[tex]\frac{374}{12}[/tex] = 31.16666667 OR [tex]31\frac{2}{12}[/tex], meaning 31 feet and 2 inches.
Answer:
31 feet and 2 inches of fencing :))<3
Step-by-step explanation:
Can someone help me with this?
Solve the equationnnnnn
Answer:
9
Step-by-step explanation:
4x - 12 + 2x = 3x + 15
6x - 3x = 15 + 12
3x = 27
x = 9
What is the answer for C = π/2
Answer:
C=5π/2
Step-by-step explanation:
Please help! Simplify the following problem.
Answer:
B. -4y^17
Step-by-step explanation:
What is the volume, in cubic feet, of the right rectangular
prism shown by the net? Show your work.
i think it’s upside down turn your phone or something pls
show work please find the volume of the following irregular space figure to the nearest whole number
Answer:
144cm^3
Step-by-step explanation:
1) split the figure so you can find the volume of two rectangular prisms.
2) Find the volume of the first rectangular prism with the measurements of 2, 5, and 8. So the volume is 80
3) Find the volume of the second rectangular prism with the measurements of 4, 2, and 8. So you have 64
4) Add the two values 80+64.
5) Then that's your answer; 144
Hope this helps! :D
4y(2 + y) - (3y +3)
HELPPP
Answer:
4y² + 5y - 3
roots are: (-5 ± [tex]\sqrt{73}[/tex]) / 8
Step-by-step explanation:
8y + 4y² - 3y - 3
4y² + 5y - 3
roots are: (-5 ± [tex]\sqrt{73}[/tex]) / 8
Answer:
4^2 + 5 − 3
Step-by-step explanation:
you multiply those numbers, add these and those, combine these and that. and BOOM. you have your answer UwU
what is the slope of the line
Answer:
The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
Answer:
the slope of the line is 1
Step-by-step explanation:
The line goes 1 up, 1 right, 1 up 1 right ........
1 divided into 1 = 1
A tv has a listed price of $610.99 before tax. if the sales tax rate is 9.25%, find the total cost of the tv with sales tax included.
Answer:
$667.51
Step-by-step explanation:
610.99 times .0925 is 56.516575. 56.516575 plus 610.99 is 667.506575. That rounded to the nearest cent is 667.51.
Answer: the cost plus tax would be 667.51
The sales tax comes to a total of 56.52
Several friends decide to arrive at prom in style and rent a limo at a price
of $400.
Write an equation that represents the price per person for the limo rental.
Answer:
Step-by-step explanation:
O
Does anyone know the answers? :)
Q2:
Answer=170.8 sq.ft
What is the area of the given circle?
Answer:
50.26 is the area.
Hope it helps!!!
Please hurry I’m not looking forward to failing
How do you get the answer?
Answer:
Where's the picture?
Out of Koley's 15 plants, 6 were carrots. What percentage of plants are carrots?
**And don’t even bother putting a link...
Answer:
40%
Step-by-step explanation:
➡6/15×100
➡600/15
➡40%
Answer: 40% of the plants are carrots
Step-by-step explanation:
In order to figure out the percentage, we have to find what "part" of the "total" are the carrots, which is given. We already know that 6 of the total 15 plants are carrots. When referring to a percentage, basically we are trying to find out how many carrots there would be, if we were to have 100 plants. So, in order to do so, we would need 100 plants. I'll make it even more simple:
We have 15 plants - 6 of which are carrots
If we were to have
100 plants - HOW MANY would be carrots??
The answer to our question is also the percentage we are looking for. If we replace HOW MANY with x, than we would have this equation: 15*x=6*100, so 15x=600 and x=40, so the percentage is 40%.
In order to make this easier, as i said in the beginning we are referring to the part of a total, with given numbers, so if we would divide 6 out of 15, we would have 6/15=0.4 , multiplying that number with 100 (for the percentage), you get 40% again, with a faster and easier way. Practice makes perfect.
what 976858587587587587585857587587585858587587585875855785875 x 8587587585858557686875789757556475647385674546738657465478657 = ???????????????????????????????????????????????????????????????????????????
Answer:
i d k
Step-by-step explanation:
Answer:
976858587587587587585857587587585858587587585875855785875 x 8587587585858557686875789757556475647385674546738657465478657 = bad expression.. literally you can't calculate that
Give the equation (y=mx+b) of the line for the graph below.
Answer:
y = -2x+3
Step-by-step explanation:
Hard for me to explain through typing but others will say if its right or wrong.
HELP PLEASE DUE SOON (i got the question wrong 2 tries)
Step-by-step explanation:
Mean number of tickets sold by boys =
Total Number of tickets sold / Number of boys
=
[tex] \frac{(1 \times 4) + (2 \times 3) + (4 \times 1) + (12 \times 1) + (13 \times 1) + (15 \times 3) + (14 \times 2}{4 + 3 + 1 + 1 + 1 + 3 + 2} \\ = \frac{4 + 6 + 4 + 12 + 13 + 45 + 32}{15} \\ = \frac{116}{15} \\ = 7.73(nearest \: hundredth)[/tex]
C.Given the figure on the right. Answer the following.
Another Plzz
Answer:
10
Step-by-step explanation:
Remark
Technically, we can't. We have no way of knowing what kind of figure we are working with. We can say to you that if this is not at least a parallelogram then no answer is possible.
Opposite sides of a parallelogram are equal.
Equation
2x = x + 5
Solution
Subtract x from each side
2x - x = 5
x = 5
HE = 2x
HE = 2*5
HE = 10
The arc measure of AB is 74 degrees, What is the Arc measure of CD.
Answer: 23
Step-by-step explanation:
Does anyone know how to solve this problem
9514 1404 393
Answer:
∠CBE = 59°
Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary.
∠BCD +∠CDE = 180°
∠BCD +∠CDB +∠BDE = 180°
(21x -5) +34 +(4x+1) = 180
25x +30 = 180
25x = 150
x = 6
∠CBE = ∠CDE = 34 +(4x +1) = 4x +35 = 4(6) +35
∠CBE = 59°
PLEASE HELP ME!!! lDK WHAT TO DO..
Answer:
D
Step-by-step explanation:
Think about some easy coordinates. If you plug in x=0, the y coordinate must be 2, eliminating B.
Next, as x becomes larger and larger, the y value decreases. This means that the value inside the bracket must be less than 1. If it is greater than 1, the y value would increase as x increased.
To illustrate, 2 < 2^2 < 2^3 < 2^4
However, 0.5 > 0.5^2 > 0.5^3
You can check this in your calculator if you need to.
Hope that helped! :)
Answer:
D
Step-by-step explanation:
Think about some easy coordinates. If you plug in x=0, the y coordinate must be 2, eliminating B.
Next, as x becomes larger and larger, the y value decreases. This means that the value inside the bracket must be less than 1. If it is greater than 1, the y value would increase as x increased.
To illustrate, 2 < 2^2 < 2^3 < 2^4
However, 0.5 > 0.5^2 > 0.5^3
You can check this in your calculator if you need to.
Please help I am begging you extra points and BRAINLIEST!!!!!!!
You don’t have to show the work just answers! If you do this it will make my whole life please help!!!!!!!
1) x= 14
2) x=110
3) x=5
4) x=110
extra
1) x=4
2) x=6
3) x=10
a hemisphere with diameter 5cm Calculate the volume of this hemisphere
Answer:
v= 262 (3 significant figures)
Step-by-step explanation:
volume of hemisphere= 2/3 * π * r³
v= 2/3 * 22/7* 125
v= 261.799388cm3
v= 262 (3 sf)
A variable y varies directly with x and the constant of variation is 3. What is the value of y when x = 2?
Answer:
y = 6
Step-by-step explanation:
y varies directly with x
y = k*x
Where,
k = constant of variation
Find y when x = 2 and constant of variation,k =3
y = k*x
y = 3 * 2
y = 6
Check:
if y = 6 and x = 2, find k
y = k*x
6 = k*2
6 = 2k
k = 6/2
k = 3
can u help please :)
Answer:
z = 8
Step-by-step explanation:
All angles inside a triangle add up to 180 so:
90 + 40 + 5z + 10 = 180
5z + 140 = 180
5z = 40
z = 8
pls help on these and thku
Answer:
the second one
Step-by-step explanation: