The area of the rectangular closet is given by the equation A = 64 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular closet be represented as A
Now , the equation will be
The area of 1 carpet square = 1 foot²
The number of rows = 4 rows
The number of carpet square in each row = 16 carpet squares
So , the total number of carpet squares in 4 rows = number of rows x number of carpet square in each row
Substituting the values in the equation , we get
The total number of carpet squares in 4 rows = 16 x 4 = 64 carpet squares
So , the area of 64 carpet squares = 64 x area of 1 carpet square
Substituting the values in the equation , we get
The area of the rectangular closet A = 64 feet²
Hence , the area of the rectangular floor is 64 feet²
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A circle with a radius of 14 feet is cut into 8 equal pieces. How many square feet are 3 of the pieces? Use 22 over 7 for π.
A. 1,155 square feet
B. 231 square feet
C. 22 square feet
D. 11 square feet
The requried area of 3 of the pieces is 231 square feet. Option B is correct.
What is the area of the circle?The area of a circle is the amount of space enclosed by the circle in a two-dimensional plane. It is given by the formula:
A = πr²
where "A" is the area of the circle, "r" is the radius of the circle, and "π" (pi) is a mathematical constant with an approximate value of 3.14159.
Here,
The area of a full circle with a radius of 14 feet is given by:
A = πr²
A = (22/7) × (14)²
A = (22/7) × 196
A = 616 square feet (rounded to the nearest whole number)
If the circle is cut into 8 equal pieces, each piece will have an area of:
616 ÷ 8 = 77 square feet
Therefore, 3 pieces will have an area of 3 × 77 = 231 square feet.
Thus, the requried area of 3 of the pieces is 231 square feet. Option B is correct.
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The equation and the graph represent two functions. Use the equation y=4 and the graph to answer the questions.
When x is 4, is the output of the equation or graph greater?
What value for x produces the same output in both the graph and the equation?
When x is 4, the output of the equation is greater.
The value for x that produces the same output in both the graph and the equation is equal to 6.
What is a proportional relationship?In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios, a straight line, and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
k is the constant of proportionality.y and x represent the variables in a proportional relationship.Generally speaking, the graph of any proportional relationship such as the linear equation (y = 4) is characterized by a straight line that crosses the y-coordinate as shown in the image attached below.
By critically observing the graphs, we can reasonably infer and logically deduce that they would produce the same output (range) at the ordered pair (4, 6).
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Need real answer with solution please i need it quickly. No random answers
If you differentiate each piece with respect to x, you'd get
[tex]\frac{d}{dx}(x)\cdot y + x \cdot \frac{d}{dx}(y) + \frac{d}{dx}(2x)+\frac{d}{dx}(3x^2)=\frac{d}{dx}(4)[/tex]
which becomes
[tex]1\cdot y + x \cdot \frac{dy}{dx} + 2+6x^1=0[/tex]
which is equivalent to B.
The answer is B.
Find a and b, such that a+b=18, and a/b is close to 1/2.
What is the answer for A
And B
The value of a is 6 and b is 12.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
given:
a + b= 18.......(1)
a/b= 1/2
or, a= b/2......(2)
Put the value of a from equation (2) in (1) we get
b/2 + b= 18
3b/2 = 18
3b= 36
b= 36/3
b= 12
and, a= b/2 = 12/2 = 6
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Calculate the area.
Answer:
1.) 55.3896
2.) 30.1754
Step-by-step explanation:
Follow steps in the image. (didn't know if you had to round, so i just left the numbers as they are.)
-Hope this helped
1 ]
Given:-
[tex] \rm{π = \bold{3.14}}[/tex][tex] \rm{radius= \bold{4.2in}}[/tex][tex] \: [/tex]
To Find:-
[tex] \rm{Area \: of \: the \: circle= \: ?}[/tex][tex] \: [/tex]
By using formula:-
[tex] \pmb{ \boxed{ \rm{Area \: of \: circle = \bold{ πr²}}}}[/tex][tex] \: [/tex]
Solution:-
[tex] \rm{Area \: of \: circle = πr²} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm{= 3.14×(4.2)²} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm{=3.14× 17.64} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \boxed{\rm{ \red{= 55.3896}}}}[/tex]
———————————————————————
2]
Given:-
[tex] \rm{π = \bold{3.14}}[/tex][tex] \rm \:{diameter ( d ) =\bold {6.2yd}}[/tex][tex] \: [/tex]
To find:-
[tex] \rm \: Area \: of \: the \: circle= \: ? [/tex][tex] \: [/tex]
By using formula:-
[tex] \pmb{ \rm{ \boxed{Area \: of \: circle = \frac{(π×d²)}{4} }}}[/tex][tex] \: [/tex]
Solution:-
[tex] \rm{Area \: of \: circle = \rm{\frac{(π×d²)}{4} } }\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: = \rm{\frac{3.14×38.44}{4} }\\ \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm{ = \cancel\frac{120.7016}{4} }\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \boxed{\rm{ \green{=30.1754}}}}[/tex]
[tex] \: [/tex]
hope it helps!:)
Sets A, B, and C are subsets of the universal set U.
These sets are defined as follows.
U= {f, g, h, p, q, r, x, y, z)
A={g, h, q, r, z
:}
B={q, r, x, y, z)
C = {h, p, q,y}
Find (An B)' U C'.
Write your answer in roster form or as Ø.
(An B)' UC' = []
As sets A, B, and C are subsets of the universal set U, the value of A’ ∪ B’ U C' = {f}.
What is De Morgans law?Demorgan's law can be utilised in set theory and boolean algebra to make mathematical formulations simpler. Let's say that the universal set U has two subsets, A and B. A' is A's complement, and B' is set B's complement.
Given that, (An B)' UC'.
Using the De Morgan's law we have:
(A ∩ B)’ = A’ ∪ B’.
Substituting this in (An B)' UC'. we have:
A’ ∪ B’ U C'
A' = {f, p, x, y}
B' = {f, g, h, p}
C' = {f, g, x, z}
A’ ∪ B’ U C' = {f}
As sets A, B, and C are subsets of the universal set U, the value of A’ ∪ B’ U C' = {f}.
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PLEASE HELP ASAP
Determine the slope of the line.
Answer:
4/3
Step-by-step explanation:
sorry if I'm wrong
4/3
rise over run so up is rise side is run 4/3
A shop has a sale of
1
3
off all items in stock.
If the original price of a dress is £27, what would be its sale price?
The sales price of the item is £18
How to determine the sales priceFrom the question, we have the following parameters that can be used in our computation:
Discount = 1/3
Original price = 27
This means that
Sales price = original price * (1 - discount)
Substitute the known values in the above equation, so, we have the following representation
Sales price = 27 * (1 - 1/3)
Evaluate
Sales price = 18
Hence, the sales price is #18
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ara sells apples at a farmers market she begins the day with 35 1/2 pounds of apples she sells half of the apples in the mornning 4/19 of the apples in the afternoon and 1/4 of the apples in the evening how many pounds of apples dose she have left
She has 1 61/152 pounds of apples left
How to determine how many pounds of apples she has left?Fractions are represented as numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing
In order to find how many pounds of apples she has left, subtract the apple she sold from the apple she begins with. That is:
Apple left = 35 1/2 - (35 1/2 * 1/2) - (35 1/2 *4/19) - (35 1/2 * 1/4 )
Apple left = 1 61/152
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Using a proportion, what is 60% of 20? 12 120 1.2 240
PLease HELP ME!!!
Questions and Answers are in the link below
The equation can be used to solve for x is 90-52 = (12x - 10)°
How to determine which equation can be used to solve for x?Angle geometry is a branch of mathematics that deals with the study of angles and their properties in two-dimensional figures such as circles, triangles, and polygons.
In the diagram, since vertically opposite angles are equal. Thus, we can say:
∠UTW = ∠VTZ
90 - 52 = (12x - 10)°
38 = 12x - 10
12x = 38 + 10
12x = 48
x = 48/12
x = 4
Therefore, the equation is 90-52 = (12x-10)°
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help please I neeeeeeed help
a small business owner is applying for a small business loan and has been approved for a $50,000 loan with a 6.15% annual interest. the first loan is a simple interest rate, the second loan compounds interest quarterly, and the third loan compounds interest continuously. the small business owner plans to pay off the loan in three years and 7 months. Determine the total value of the loan with the quarterly compounded interest.
The total value of the loan with the quarterly compounded interest
is $117599.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded quarterly is,
A = P(1 + (r/4)/100)⁴ⁿ.
[tex]A = 50000(1 + 6.15/100)^{4\times\frac{43}{12}}[/tex].
[tex]A = 5000(1 + 0.0615)^{14.33}[/tex].
[tex]A = 5000(1.0615)^{14.33}[/tex].
[tex]A = 5000\times2.352[/tex].
A = $117,599.
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6. Which of the following is the additive
inverse of -(2 − 9)?
A. -7
B. -1/7
C. 1/7
D. 7
Answer:
A. -7
That's it
Help find the length
The length of the side D'E' is 9 units for the given translated triangle D'E'F'.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
As we know that the translation does change the change location but it can't change the shape of the figure.
According to the given question, triangle DEF is translated as 6 units right and 6 units up.
This means there are no changes in the dimensions.
So D'E' = DE
Thus, D'E' = 9 units
The length of the side D'E' is 9 units
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9 miles for every 1/2 hour and 6 miles for every 20 minutes tell whether the missing values are equivalent and justify
9 miles for every ½ hour and 6 miles for every 20 minutes can be considered equivalent because they represent the same speed, just measured in different units.
To see this, we can convert the units to a common unit, such as miles per hour.
First, let's convert the 6 miles in 20 minutes to miles per hour:
[tex] \frac{6}{20} \times 60[/tex]= 18 miles/hour
Next, let's compare this speed to the 9 miles per ½ hour:
[tex] \frac{9}{ \frac{1}{2} } = \frac{9}{ \frac{1}{2} } \times \frac{1}{ \frac{1}{2} } = 18[/tex]
Since both speeds are equal to 18 miles per hour, we can conclude that they are equivalent. This means that the missing values are also equivalent.
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PLEASE HELP!!!!!!!!!!!!!!!
The decimals are less than 0.03.
All of the above.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
10 rows and 10 columns.
This means,
100 boxes.
Now,
3 boxes are shaded.
The fraction of shaded boxes.
= 3/100
= 0.03
Now,
0.02, 0.0, 0.00, and 0.01 are all less than 0.03.
Thus,
All the decimals are less than 0.03.
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find the midpoint of segment CD. C = (-3, -2) D =0, -5)
Answer:
(-1.5,-3.5)
Step-by-step explanation:
midpoint=(x1+x2)/2,(y1+y2)/2
-3+0/2, -2+( -5)/2
(-1.5,-3.5)
Which of the following points is closest to (4,0)?
50 points each?
Answer: Its point B, its closer to the vertices of 4.
Step-by-step explanation:
(7/2,1.87)
the distance between the points
(4,0)and (0,3)
would be:
√(3−0)2+(4−0)2=√9+16=√25=5
7. A rancher has 1000 m of fencing to enclose two rectangular corrals. The corrals have the same dimensions and one side in common. What dimensions will maximize the enclosed area? X y
The dimensions that will maximize the enclosed area are 125 meters by 250 meters
What dimensions will maximize the enclosed area?Represent the dimensions with x and y
So, we have the following equations
Perimeter = 4x + 2y = 1000
Area = 2xy
So, we have
2x + y = 500
This gives
y = 500 - 2x
So, we have
Area = 2x(500 - 2x)
Expand
Area = 1000x - 4x^2
Differentiate and set to 0
1000 - 8x = 0
So, we have
8x = 1000
Divide
x = 125
Recall that
y = 500 - 2x
y = 500 - 2 * 125
y = 250
Hence, the dimension is 125 by 250
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What is the solution to the inequality of 7w+63>=150
Answer:
w ≥ 87/7
Step-by-step explanation:
Step 1: Subtract 63 from both sides.
7w+63−63≥150−63
7w≥87
Step 2: Divide both sides by 7.
7w/7 ≥ 87/7
w ≥ 87/7
Write an expression for [tex]\sqrt{32}[/tex] without any perfect square factors other than 1 in the radicand. Explain your steps.
The simplified expression of the given expression is 4√2
How to determine the simplified expressionFrom the question, we have the following parameters that can be used in our computation:
√32
Express 32 as 16 * 2
So, we have
√32 = √16 * √2
Evaluate the radicand
√32 = 4√2
HEnce, the solution is 4√2
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4. Dr. Olson's receptionist will receive a 5% raise in June. How much will be withheld each two weeks for Social Security after the raise?
Answer:
y=3x+5
Step-by-step explanation:
qqqqqqqqqqqqqqqqssssssssss
a cube has a volume of 1000 cm cube calculate the surface area of the cube
Answer:
600 cm²
Step-by-step explanation:
let x = length of a side of the cube
all sides are equal in a cube
Volume = x³ = 1000 cm³
x = ∛1000 = 10 cm
Area of 1 side = 10cm x 10cm = 100 cm²
There are 6 equal sides in a cube
SA = 6(100) = 600 cm²
Look at the figure. Find BC.
VIEW THE IMAGE ATTACHED BELOW.
Answer:
BC = 18
Step-by-step explanation:
the diagonal AC is the perpendicular bisector of diagonal BD
this indicates the figure is a Kite with sides AB ≅ AD and BC ≅ DC
then
BC = DC = 18
Answer:18
Step-by-step explanation: Square root of 18²-8²= 16.124.........
The square root of 16.124..........²+8²=18
(2x + 3) + (4x - 7)
2x + 3 + 4x - 7
2x + 4x + 3 - 7
What is the area of a circle with a diameter of 14 meters? Leave the answer in terms of π.
A. 49π square meters
B. 7π square meters
C. 196π square meters
D. 14π square meters
Answer:
A
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
given diameter = 14 then r = 14 ÷ 2 = 7
A = π × 7² = 49π m²
Answer:
49π
Step-by-step explanation:
area of circle=pie*radius²
and radius=diameter/2
therefore
r=14/2
=7m
Area =π*7²
Area=49π
OK guys, so this is a problem if someone can give me this answer I’ll be so happy. I need it right away. Please respond quick .
I Sally buys 5 dolls and 1 purse for $21.
Donna buys 7 dolls and 1  purse for 27$
Answer:
ok one doll is 3 dollars and one purse is 6 dollars
and for the bottom I got 84 so I don't know I'm sorry
Step-by-step explanation:
Answer:
1. The unit price for a doll is three dollars. The unit price for a purse is six dollars.
2. One doll costs three. One purse costs six.
3. Polly spends $24 on the 2 dolls and 3 purses.
Step-by-step explanation:
Doing some calculations, 1 doll costs three dollars and 1 purse costs six dollars.
5 x 3 + 6 = 21
7 x 3 + 1 = 27
If Polly buys 2 dolls and 3 purses, that means she spends six dollars on the dolls and eighteen dollars on the purses.
(2 x 3) + (3 x 6) = $24
Polly spends $24 on 2 dolls and 3 purses.
Hope This Helps!
what is gcf for 24x^5 and 10x
answer = there are three photos. all answer in three photos
PLEASE HELP‼️‼️
EXTRA POINTS‼️
The equations of the functions are
y = -7(x - 4)(x + 2) --- in standard form and in vertex form, it is y = -7(x - 1)^2 + 63. The point is not on the liney = 4(x - 5)(x + 5) --- in standard form and in vertex form, it is y = -4x^2 - 100. The point is on the lineHow to determine the equationFunction (a)
From the question, we have the following parameters that can be used in our computation:
x-intercepts = (4, 0) and (-2, 0)
This means that
y = a(x - 4)(x + 2)
Also, we have point (5, -7)
This means that
a(5 - 4)(5 + 2) = -7
So, we have
a = -7
The equation becomes
y = -7(x - 4)(x + 2) --- in standard form
In vertex form, it is
y = -7(x - 1)^2 + 63
To test the point (2, 15), we have
y = -7(2 - 1)^2 + 63
Evaluate
y = 56 ---- false
Function (b)
From the question, we have the following parameters that can be used in our computation:
x-intercepts = (5, 0) and (-5, 0)
This means that
y = a(x - 5)(x + 5)
Also, we have point (-4, -36)
This means that
a(-4 - 5)(-4 + 5) = 36
So, we have
a = 4
The equation becomes
y = 4(x - 5)(x + 5) --- in standard form
In vertex form, it is
y = 4x^2 - 100
To test the point (3, -64), we have
y = 4 * 3^2 - 100
Evaluate
y = -64 ---- true
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