Julia should consider buying the rug with a radius of 5 feet, as it has the potential to cover a larger percentage of her floor.
Understanding the area of the floor to decide a matching rugA simple approach to determine which rug Julia should buy is to compare the areas covered by the rugs and choose the one that covers approximately 50% of her floor.
To start with, let us calculate the area of each rug in the options
We can tell from the options that it is a circular rug, so applying the formula of a circle will be valid.
Recall that area of a circle is:
A = πr²
where
A is the area
r is the radius
1. Rug with a radius of 5 feet:
Area = π(5)² = 25π square feet.
2. Rug with a diameter of 5 feet:
The diameter is twice the radius, so the radius of this rug is 5/2 = 2.5 feet.
Area = π(2.5)² = 6.25π square feet.
3. Rug with a radius of 4 feet:
Area = π(4)² = 16π square feet.
4. Rug with a diameter of 4 feet:
The radius of this rug is 4/2 = 2 feet.
Area = π(2)² = 4π square feet.
We cannot make an exact comparison to Julia floor since that info is missing. However, based on the given options, the rug with the largest area is the one with a radius of 5 feet (25π square feet). This rug would likely cover a larger portion of the floor compared to the other options.
Therefore, Julia should consider buying the rug with a radius of 5 feet, as it has the potential to cover a larger percentage of her floor.
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Help fast please. I will give brainliest.
Answer:
Q5 ) A 80 UNITS²
pls give me brainliest
12 (X + 2) - 4x = 4( 2X + 11 ) -20
Solve for X
Answer:
Step-by-step explanation:
12 (x + 2) - 4x = 4 (2x + 11) - 20
12 + 24 - 4x = 8x + 44 - 20
36 - 4x = 8x + 24
36 - 24 = 8x - 4x
12 = 4x
---- ----
4 4
3 = x
-x = -3
x = 3
Find the ratio of 580 ml to 1.12 I to 104 ml
Answer:
580 : 1120 : 104
Step-by-step explanation:
1.12 ml -> 1120 ml
hence,
580 : 1120 : 104
what is the decimal word form of 120.95?
FIND THE DOMAIN AND RANGE!!!!
Can someone help w/ this math problem plzz
Answer:
its C
Step-by-step explanation:
4k squared = 100 solve for k
Answer:
k = 5
Step-by-step explanation:
4k^2 = 100
4k^2/4 = 100/4
k^2 = 25
k=5
SOMEONE PLEASE HELP
and please explain it so I won't get confused further on
6 tubs hold 125 gallons in all how much does each run hold
Answer:
125/6= 20.8 gallons
pls help me it is inportant
Answer:
(5.x)+(5.2)
Step-by-step explanation:
Hope it helps you......
Answer:
nah
Step-by-step explanation:
What is the domain of all of these points?
(8, 2), (12,9), (16, 16), (20, 23)
Answer:
8, 12, 16, 20
Step-by-step explanation:
those are the domains
What number is 40% of 15? Round to the nearest hundredth
Answer:
6Step-by-step explanation:
10% of 15 = 1.5x4=6what r passing marks out of 40
Answer:
36/40 - A, 32/40 - B, 28/40 - C, and 24/40 - D
Step-by-step explanation:
Answer:
18 is ur answer
thank youI need help it's geometry
Step-by-step explanation:
[tex] \sin(45) = \frac{x}{5} \\ \frac{1}{ \sqrt{2} } = \frac{x}{5} \\ x = \frac{5}{ \sqrt{2} } = 3.535[/tex]
[tex] \sin(45) = \frac{y}{5} \\ y = \frac{5}{ \sqrt{2} } = 3.535[/tex]
Answer:
[tex]\frac{5\sqrt{2} }{2 }[/tex]
Step-by-step explanation:
x=y
45-45-90 equation is x-x- x square root of 2
Which of the following nets is for a pyramid?
2nd one
hope it helps you
The net of the pyramid is given by figure B
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
A net is a two-dimensional representation of a three-dimensional shape that, when folded along the edges, forms the shape of the solid.
In the case of a pyramid, the net consists of a polygonal base and triangular faces that meet at a common vertex.
The number of triangular faces depends on the type of pyramid (triangular, square, pentagonal, etc.).
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An account earns simple interest.
$1500 at 4% for 5 years
a. Find the interest earned.
$
b. Find the balance of the account.
Answer:
a) $300 in interest
b) $1800 account total
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 1500(.04)(5)
I = 300
A = P + I
1800 = 1500 + 300
How many solutions does this system of equations have?
Answer:
One solution.
A system of linear equations has one solution when the graphs intersect at a point.
I hope it's helpful!
HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
Answer:
exponential;increase
Step-by-step explanation:
answer is C
Select all that apply. Select the formulas that give the amount P in the account after the first period.
Options :
a.) P=1.005Po
b.) P=1.02Po
c.) P=Po(0.02/4)
d.) P=Po(4.02/4)
e.) P=Po(1+ 0.02/4)
Answer:
a.) P=1.005Po
d.) e.) P=Po(1+ 0.02/4)
Step-by-step explanation:
From the compound interest formula:
P = P0(1 + r/n)^t
Rate = 2% = 2/100 = 0.02
n = Number of compounding times per period, quarterly ; n = (12 /3) months
P = P0(1 + 0.02/4)^1
P = p0(1 + 0.02/4)
Simplifying further :
P = P0(1 + 0.005)
P = p0(1.005)
Please Help! Ill give brainliest no fakes PLEASE!!
Answer:
4 and then 15
Step-by-step explanation:
second one: 6:4
last one: 15:10
Pls pls pls pls help
Step-by-step explanation:
To prove that two lines are perpendicular, when all we have are those two lines, we can use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.
Our diagonals intersect at point O, so we'd need to show the two linear angles formed at that intersection point are equal, and we can do that with triangle congruency.
A rhombus is a parallelogram, so we will use what we already know about parallelograms - that the diagonals bisect each other.
It is then easy to show that the triangles ΔAOD and ΔAOB are congruent using the Side-Side-Side postulate, and from that that ∠AOD ≅ ∠AOB.
And now, since ∠AOD and ∠AOB are a linear pair, we use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.
PROOF
(1) ABCD is a rhombus //Given
(2) AB=AD //definition of rhombus
(3) AO=AO //Common side, reflexive property of equality
(4) BO=OD // A rhombus is a parallelogram, a parallelogram's diagonals bisect each other
(5) △AOD≅△AOB //Side-Side-Side postulate.
(6) ∠AOD ≅ ∠AOB //Corresponding angles in congruent triangles (CPCTC)
(7) AC⊥DB //Linear Pair Perpendicular Theorem
The converse of this is also true: if a parallelogram's diagonals are perpendicular, it is a rhombus.
The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuning that there are 4
weeks in a month how many tree frogs will there be in 3 months?
Answer:
there would be 40,960 tree frogs i think
Step-by-step explanation:
Answer:
640 tree frogs
Step-by-step explanation:
If 1 month = 4 weeks
3 months = 12 weeks (3x4)
After 2 weeks the frogs double to 20
After 4 weeks the frogs double to 40
6 weeks, it doubles to 80
8 weeks, it's 160
10 weeks it's 320
12 weeks, it's 640
Help Please................
Answer:
split then d the trinangle with the base and the height and do the rectangle as length times width
Step-by-step explanation:
Answer: 1152
Step-by-step explanation:
please helppppppp
give u 10 pts
Answer:
y = x / -4
Step-by-step explanation:
Hope that helps!
(−3⋅10^3 )⋅(4⋅10^6)=???
Answer:
-1.19164 x 10^8
Step-by-step explanation:
is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY
Plz help me! I need an answer right away
If the mean of 5 numbers is 10 and the mean of other 15 numbers is 20 , what is the combined mean of both 20 numbers
9514 1404 393
Answer:
17.5
Step-by-step explanation:
The sum of the 5 numbers is 5·10 = 50.
The sum of the 15 numbers is 15·20 = 300.
The sum of all 20 numbers is then 50+300 = 350, so their mean is ...
mean = sum/number = 350/20 = 17.5
The combined mean of the 20 numbers is 17.5.
solve the equation 3(x + 1) + 6 = 33.
Answer:
155
Step-by-step explanation:
f(x) = -3x + 3
f(-2) = [?]
Help
is this the answer you're looking for? I'm sorry I'm confused