The correct statements are (a) and (d). which are the graph is reflected over the x - axis and the the graph is shifted down 1 unit.
Which statement about the transformation is true
a. The graph is reflected over the x-axis.
This statement is true. The negative sign in front of the sine function reflects the graph of the parent function over the x-axis.
b. The frequency decreases by a factor of 1/4.
This statement is false. The coefficient in front of the x in the sine function determines the frequency of the wave. Since there is no coefficient in front of x in this case, the frequency of the wave remains the same.
c. The phase shift is 1/4 unit to the right.
This statement is false. The phase shift determines how the graph is horizontally shifted left or right. However, there is no horizontal shift in this case, so the phase shift is 0.
d. The graph is shifted down 1 unit.
This statement is true. The negative sign in front of the sine function also shifts the graph down by 1 unit.
e. The graph is reflected over the y-axis.
This statement is false. A reflection over the y-axis would require a negative sign in front of x, not in front of the sine function.
f. The frequency increases by a factor of 4.
This statement is false. As mentioned in (b), there is no change in frequency in this case.
Therefore, the correct statements are (a) and (d).
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Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
daniel has read 80% of a book. He has more 8 pages to finish. How many pages are there in the book?
Using the percentage formula it is obtained that there are 40 number of pages in the book.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.
Let's use "x" to represent the total number of pages in the book.
According to the problem, Daniel has read 80 percentage of the book, which means he has read -
8/100 = 0.8x pages
He still has 8 pages left to finish, so we can set up an equation -
0.8x + 8 = x
Solving for x, we can subtract 0.8x from both sides -
0.8x + 8 - 0.8x = x - 0.8x
8 = 0.2x
Then, we can divide both sides by 0.2 to get -
x = 40
Therefore, there are 40 pages in the book.
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Rewrite the expression in the form bn. b^4 * b^-1/4
Using the laws of exponents, we can rewrite the expression as:
b^4 * b^(-1/4) = b^(4 - 1/4) Simplifying the exponent, we get:
b^(15/4). Therefore, the expression in the form bn is b^(15/4).
Rewriting an expression in the form bnTo rewrite the expression b^4 * b^(-1/4) in the form bn, we need to apply the laws of exponents. The law of exponents states that when multiplying two powers with the same base, we can add the exponents. In this case, we have b^4 multiplied by b^(-1/4), which means that we have the same base b. Using the law of exponents, we add the exponents 4 and -1/4 to get 4 - 1/4 = 15/4. Thus, we have simplified the expression b^4 * b^(-1/4) to b^(15/4). This is in the form of bn, where b is the base and n is the exponent. Therefore, the expression b^4 * b^(-1/4) is equivalent to b^(15/4).
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Type the correct answer in the box. Spell all words correctly.
Fill in the box with one of the following words: bacterial, fungal, parasitic, protozoan, viral.
Sergio observes thickening and discoloration of the nail of the index finger. His doctor diagnosed Sergio with a nail infection. Sergio is most likely
suffering from a/an
infection.
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7:46
Sergio observes thickening and discoloration of the nail of the Index finger. His doctor diagnosed Sergio with a nail infection. Sergio is most likely suffering from a fungal infection.
What is a fungal infection?Fungal infections are also called as mycosis. They are usually caused by different species of fungi.Fungal infections that cause thickening and discoloration of nails, a condition known as onychomycosis.
Onychomycosis is a fungal infection of the nail. It is a common condition that affects both fingernails and toenails. The infection typically starts at the tip of the nail and then spreads towards the base. Fungal infections of the nail can cause the nail to thicken, become brittle and discolored, and can also cause separation of the nail from the nail bed.
Fungal infections of the nail are typically caused by dermatophytes, but other types of fungi can also be responsible. The diagnosis includes laboratory tests, and treatment may include antifungal medication.Therefore, the correct word is fungal.
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The question is incomplete, but most probably the complete question is,
Type the correct answer in the box. Spell all words correctly.
Fill in the box with one of the following words: bacterial, fungal, parasitic, protozoan, viral.
Sergio observes thickening and discoloration of the nail of the Index finger. His doctor diagnosed Sergio with a nail infection. Sergio is most likely suffering from a/an _______ infection.
What is the conversion of 40f in c ?
The value which is converted from Fahrenheit to Celsius is equal to 40 Fahrenheit to 4.44444Celsius.
Fahrenheit and Celsius are the units which represents the measurement of the temperature in Standard form .
Formula that relates Fahrenheit and Celsius is represented by the standard formula as mentioned below
(°F − 32) × 5/9 = °C
We have to Substitute the value 40 Fahrenheit in the Standard formula of the temperature to get into Celsius ,
= ( 40°F − 32) × 5/9
= 8 × 5/9
= 40 / 9
= 4.44444 Celsius
= 4.44444 Celsius
Therefore, the conversion value of 4 Fahrenheit into the Celsius is written as 4.44444 Celsius .
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The above question is incomplete, the complete question is:
What is the conversion of 40 Fahrenheit in Celsius ?
1. A young man rents an apartment for $850 / month. His
sister buys a house with a $20,000 down payment and
monthly mortgage payments of $1,150. Determine who spends
more over the 30-year period that her mortgage lasts,
assuming that both living situations remain the same. Who is in
a better position as far as having a financial asset?
a) The sister spends more (making total payments of $414,000) over the 30-year period than the young man, who spends $306,000.
b) Assuming both living situations are the same, the sister is in a better position as far as having a financial asset is concerned.
How the numbers are determined:The numbers are determined using the mathematical operations of multiplication and subtraction.
The monthly rent for an apartment = $850
The total payments for 30 years = $306,000 (30 x 12 x $850)
Sister's Payment for a Mortgaged House:
Down payment = $20,000
Monthly mortgage payments = $1,150
The total payments for 30 years = $414,000 ($1,150 x 360)
The difference in total payments = $108,000 ($414,000 - $306,000)
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how much is 350 ml in oz
The expression 350 ml is equivalent to approximately 11.83 fluid ounces (fl oz).
How to convert the unitsFrom the question, we have the following parameters that can be used in our computation:
350 ml = x oz
To convert milliliters to fluid ounces
We can use the conversion factor of 1 milliliter = 0.033814 fluid ounces.
So, to convert 350 ml to fluid ounces, we can multiply 350 by 0.033814, which gives us:
350 ml x 0.033814 fl oz/ml = 11.83 fl
So, 350 ml is approximately equal to 11.83 fluid ounces.
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Help me asap
Please do the equation to show off my work I’ll do anything.
Answer:
-0.9
Step-by-step explanation:
-5.4 + 1.8 = 4x - 1.8 + 1.8
-3.6 = 4x
-3.6/4 = 4x/4
-0.9 = x
¿Qué par ordenado formaría una relación proporcional con el punto que se muestra a continuación?
On a coordinate plane, a line goes through points (0, 0) and (45, 30). (10, 10)
(25, 35)
(70, 50)
(90, 60)
El par ordenado (90, 60) tiene la misma pendiente que la línea y forma una relación proporcional con el punto dado.
Determine the proportionEl par ordenado que formaría una relación proporcional con el punto que se muestra a continuación es (90, 60). Para encontrar una relación proporcional en un plano coordenado, debemos encontrar dos puntos que tengan la misma pendiente.
La pendiente de una línea se calcula utilizando la fórmula (y2 - y1) / (x2 - x1).
Usando los puntos dados (0, 0) y (45, 30), podemos calcular la pendiente de la línea:
Pendiente = (30 - 0) / (45 - 0)
= 30 / 45
= 2 / 3
Ahora, podemos calcular la pendiente de cada uno de los pares ordenados dados y compararlos con la pendiente de la línea:
(10, 10):
Pendiente = (10 - 0) / (10 - 0)
= 10 / 10
= 1 (no es proporcional)
(25, 35):
Pendiente = (35 - 0) / (25 - 0)
= 35 / 25 = 7 / 5 (no es proporcional)
(70, 50):
Pendiente = (50 - 0) / (70 - 0)
= 50 / 70 = 5 / 7 (no es proporcional)
(90, 60):
Pendiente = (60 - 0) / (90 - 0)
= 60 / 90 = 2 / 3 (es proporcional)
Por lo tanto, el par ordenado (90, 60) tiene la misma pendiente que la línea y forma una relación proporcional con el punto dado.
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3 = X X =
fill in the blanks
The blanks when completed is: If 3 = x, then x = 3
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
3 = x x = 3
The above equation is an illustration of the symmetric property of equation
The symmetric property of an equation states that if one side of an equation is equal to the other side, then the other side is equal to the first side.
In other words, if we have an equation that says a = b, then we can use the symmetric property to say that b = a
Using the above as a guide, we have the following:
If 3 = x, then x = 3
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10^3 = X X =
fill in the blanks
the answer is somewhere here
Answer:
Step-by-step explanation:
10^3 is equal to 1,000.
To fill in the blanks with two numbers that multiply to 1,000, we need to factorize 1,000. One way to do this is to divide by 2 repeatedly until we get an odd number:
1,000 ÷ 2 = 500
500 ÷ 2 = 250
250 ÷ 2 = 125
So the prime factorization of 1,000 is:
1,000 = 2^3 × 5^3
Therefore, we can fill in the blanks as follows:
10^3 = 2^3 × 5^3
Find the volume of the solid enclosed by the paraboloids z=1(x2+y2) and z=18−1(x2+y2).
The volume of the solid here which is enclosed by paraboloids is 81π.
Use cylindrical coordinates.
z = x² + y² ==> z = r²
z = 18 - (x² + y²) ==> z = 18 - r².
Curve of intersection:
r² = 18 - r² ==> r = 3, a circle.
So, the volume ∫∫∫ 1 dV equals
∫(θ = 0 to 2π) ∫(r = 0 to 3) ∫(z = r² to 18 - r²) 1 * (r dz dr dθ)
= 2π ∫(r = 0 to 3) rz {for z = r² to 18 - r²} dr
= 2π ∫(r = 0 to 3) r(18 - 2r²) dr
= π ∫(r = 0 to 3) (36r - 4r³) dr
= π(18r² - r⁴) {for r = 0 to 3}
= 81π.
The intersecting curves that are transversally intersecting make up an intersection curve in most cases, which means that the surface normals are never parallel at any common point. This limitation does not apply in situations when the surfaces touch or share surface elements. The intersections of two revolution cylinders form the bicylindrical curves.
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what is the best estimate for the mass of one piece of paper
Answer: 1kg
Step-by-step explanation:
Answer:
almost 4.5g
Step-by-step explanation:
Hope this is the answer you are looking for
5. Patsy is getting supplies for her daughter's birthday party. She's getting special large balloons (b) that are $3 each and unicorn headbands (h) that are $5 each. Patsy spends $61 for the balloons and headbands. a. Write an equation in standard form to represent the situation. b. There are going to be 8 girls (including her daughter) at the party. Each girl gets one unicorn headband. How many balloons did Patsy buy?
Answer:
Step-by-step explanation:
16
Both circles have the same center. What is the area of the area of the shaded region?
(I’ll give you 40 points if you help me)
Answer:
12,370.34 square yards
Step-by-step explanation:
The shaded area between the two circles is known as an annulus.
This can be computed by the formula
A₂ - A₁
where
A₁ = area of the inner (smaller circle)
A₂ = area of the outer (larger circle)
We also have
A₁ = π · r₁²
A₂ = π · r₂²
where
r₁ = radius of inner circle
r₂ = radius of outer circle
So
Area of shaded region (area of annulus)
= π · r₂² - π · r₁²
= π (r₂² - r₁²)
We are given r₁ = 25.9 yds
Outer circle has a radius r₂ = inner circle radius + annulus width
r₂ = 25.9 + 42
r₂ = 67.9 yds
Area of the shaded region
= π (67.9² - 25.9²)
= π (4,610.41 - 670.81)
= π x 3,939.6
= 12,370.344 square yards (using π = 3.14)
= 12,370.34 square yards (rounded to nearest hundredth)
y=3x-4 and y= -1/2x+10
Answer:
x = 4
y = 8
Step-by-step explanation:
If y = 3x - 4 and y = -1/2x + 10, then
3x - 4 = -1/2x + 10
3.5x = 14
x = 14/3.5 = 4
y = 3(4) - 4 = 8
An ice company charged $3.10 for 5 bags of ice. If a convenience store bought 2 bags of ice, how much would it have cost them?
Answer:
$1.24
Step-by-step explanation:
use a proportion.
$3.10/5 = x/2
5x = 2 × $3.10
x = $1.24
Answer:
$1.24
Step-by-step explanation:
$3.10 for 5 bags
I bag = 310/5= 62
Move the decimal point back two times which is 0.62
2 bags cost 0.62*2= 1.24
= $1.24
How long is 66.9 feet in inches?
One foot is equal to 12 inches. Therefore, to convert feet to inches, you need to multiply the number of feet by 12.
So, the value of 66.9 feet is equal to 802.8 inches.
Feet is measure from the back of your heel to the tip of your longest toe on the floor using a ruler or tape measure.
Inch is the British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′). One inch is equal to 1/36 of a yard.
Here we want to convert 66.9 feet in inches.
To convert feet to inches, you can multiply the number of feet by 12.
So to convert 66.9 feet to inches:
66.9 feet x 12 inches/foot
= 802.8 inches
Therefore, 66.9 feet is equal to 802.8 inches.
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How would you describe Melody's relationship with her mother? (1 point)
• Melody's mother is supportive, but sometimes indifferent.
They have mutual understanding, but not a close bond.
O Melody's mother is supportive at home and school.
O They have a close bond, but not much mutual understanding
Answer: commensalism
Step-by-step explanation:
Melody and her mother aren't hurting each other but also aren't of the same benefit
The relationship that Melody has with her mother is that They have a close bond, but not much mutual understanding.
What is meant by a Story?A story is a fiction or a non fiction narrative which tells us about a series of events or verse, which is narrated in such a way that it takes the interest of the reader.
Most of the fictions convey a certain moral or idea that should be taken in to our life.
Given is a story of a little girl Melody and her mother.
We can clearly seen from the story that, Melody is five year old.
She has a pet named Ollie, which is a fish.
When the fish come out of the bowl by itself, Melody was scared and screamed for help.
But non one heard.
So as a method to rescue Ollie, she put the bowl upside down to save it.
When mother sees it, she misunderstood the situation.
So the relationship between Melody and mother is close bond, but not much mutual understanding.
Hence the correct answer is option D.
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Solve for the variable.
B.
3x
A
4x - 1
О
F
x2-x-2
D
The value of the variable x in the trapezium is 6 .
How to find variable in a trapezium?The diagram above is a trapezium. The mid segment of the trapezium is EF. The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.
Therefore, using the mid segment rule,
EF = 1 / 2 (AB + CD)
EF = 4x - 1
AB = 3x
CD = x² - x - 2
Therefore,
4x - 1 = 1 / 2(3x + x² - x - 2)
4x - 1 = 1 / 2 (x² + 2x - 2)
8x - 2 = x² + 2x - 2
x² + 2x - 8x = 0
x² - 6x = 0
x² = 6x
x = 6
Therefore,
x = 6
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what is 5 foot 8 inches in cm?
As per the conversion factor, 5 foot 8 inches is equal to 172.72 centimeters
In this case, we're talking about converting from feet and inches to centimeters.
To convert 5 feet 8 inches to centimeters, we need to first convert the feet to inches, and then add the total number of inches. Since one foot is equal to 12 inches, we can multiply 5 feet by 12 to get 60 inches. Then, we add the remaining 8 inches to get a total of 68 inches.
Now, we need to use a conversion factor to convert inches to centimeters. One inch is equal to 2.54 centimeters, so we can multiply 68 inches by 2.54 to get the answer in centimeters.
To summarize, the conversion factors we used are:
1 foot = 12 inches
1 inch = 2.54 centimeters
=> (68 inches x 2.54 cm/inch) = 172.72 centimeters
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A cylinder is sliced such that the cross section is perpendicular to its bases.What is the shape of the cross section?circlerectangletrapezoidtriangle
The cross section of a cylinder is a circle. This is because a cylinder is formed by two circular bases connected by a curved surface. When the cylinder is sliced perpendicularly to its bases, the cross section will be a circle.
To prove this mathematically, let us consider a cylinder with radius r and height h. The volume of the cylinder is V = πr²h. If the cylinder is sliced perpendicularly to its bases, its cross section can be considered as a circle with radius r. The area of the circle is A = πr². Since the volume of the cylinder is equal to the area of the cross section multiplied by the height, we can say that V = A * h. This implies that A = V/h. Since we already know that V = πr²h, we can substitute the value of V in the above equation to get A = πr²h/h. Cancelling both h from the equation, we get A = πr². This means that the area of the cross section of the cylinder is equal to the area of a circle with radius r. Therefore, the shape of the cross section of the cylinder is a circle. Hence, the shape of the cross section of a cylinder is a circle.
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How many grams of na2o are required to produce 160 grams of NaOH? Show your work
Na2O+H2O->2NaOH
We need 124 grams of Na2O to produce 160 grams of NaOH
What is Balanced Equation?A balanced chemical equation is an equation where the number of atoms of each type in the reaction is the same on both reactants and product sides.
Let us first convert 160 grams of NaOH to moles using its molar mass. The molar mass of NaOH is:
Na = 22.99 g/mol
O = 15.99 g/mol
H = 1.01 g/mol
Molar mass of NaOH = 22.99 + 15.99 + 1.01 = 40.00 g/mol
Number of moles of NaOH = mass / molar mass = 160 g / 40.00 g/mol = 4.00 mol
Since the reaction requires 2 moles of NaOH for every 1 mole of Na2O, we need half as many moles of Na2O as NaOH.
Therefore, we need: 1/2 x 4.00 mol = 2.00 mol of Na2O
Finally, we can convert moles of Na2O to grams using its molar mass:
Na = 22.99 g/mol
O = 15.99 g/mol
Molar mass of Na2O = 22.99 + 2(15.99) = 61.98 g/mol
Mass of Na2O = number of moles x molar mass = 2.00 mol x 61.98 g/mol = 123.96 g
Therefore, we need 124 grams of Na2O to produce 160 grams of NaOH
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Round off 836534 into 2 SD.
The rounded off form of the number 836534 into 2 Significantly digits as required is; 840000.
What is the rounded off form of 836534 into 2 SD?It follows from the task content that the number 836534 is to be rounded into 2 significant digits as required.
On this note, since the given number is; 836534.
The 2 greatest place value digits are 8 and 3. Hence, the third digit is considered to round the number off.
Since the third digit is 6, it is rounded to 1 and added to 3 so that the rounded off form of the given number to 2 SD is; 840000.
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Rounding off 836534 into 2 significant fiqure will give us 840000.
How can we ound Off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.
Round up if the number you're rounding has a 5, 6, 7, 8, or 9. For instance, 30 is equal to 28, rounded to the nearest tens place. Round down if the number you are rounding has a 0, 1, 2, 3, or 4 after it. For instance, 10 is the result of rounding 13 to the nearest ten.
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In the figure below, m/RSP = 79°, m
P
What is m/QRP?
OA. 90°
OB. 60°
OC. 150°
OD. 50°
S
R
Note picture not drawn to scale
Therefore , the solution of the given problem of angle comes out to be
m∠QRP = 50 degree.
What exactly is an angle?In Euclidean space, an angle is a structure that consists of two poles who split at its apex and apex, which are located in its centre. The sides or loops are the name given to these rays. Combining two rays could result in an inclination within the planes in that they are located. Two planes can be combined to form angles as well. These are referred to as dihedral angles. Two line rays at their end points can be arranged in many ways to produce patterns in two dimensions.
Here,
Given :
m∠RSP = 79 , m∠SPR = 40 and m∠QRS = 111
To find the angle m∠QRP
So,
First find the angle ∠SRP
Thus ,
it is a triangle
79 + 40 + ∠SRP = 180
=> ∠SRP = 180 - 79 -40
=>∠SRP = 61 degree
and
=> m∠QRP = m∠QRS - ∠SRP
=> m∠QRP = 111 - 61
=> m∠QRP = 50 degree.
Therefore , the solution of the given problem of angle comes out to be
m∠QRP = 50 degree.
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Mrs.Mathers science class is growing sunflowers. Georges sunflower grew a total of 2.218 inches this week. Brians grew a total of 2.21 inches. Whose sunflower grew the most?
Georges sunflower grew the most.
How to compare two decimal numbers ?
Write the decimal numbers in a place value chart.Compare the digits starting with the greatest place value.If the digits are the same, compare the digits in the next place value to the right. Keep comparing digits with the same place value until you find digits that are different.Given :
Georges sunflower grew : 2.218 inches
Brians grew : 2.21 inches
Since , two decimal number is compared using Compare the digits starting with the greatest place value and If the digits are the same, compare the digits in the next place value to the right. Keep comparing digits with the same place value until you find digits that are different.
Therefore , we can see that
2.218 inches > 2.21 inches
Hence , georges sunflower grew the most.
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How to convert 93 cm to inches?
93 centimeter is approximately equal to 36.6142 inches ( rounded to four decimal places )
To convert 93 cm to inches, we can use the following formula:
1 cm = 0.393701 inches
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in inches = conversion factor × The length in centimeter
Substitute the values in the equation
93 cm = 93 x 0.393701
Multiply the numbers
= 36.6142 inches ( rounded to four decimal places )
Therefore, 93 centimeter is 36.6142 inches
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What is the area of the sidewalk around the pool?
Answer:
392ft²
Step-by-step explanation:
We need to find out the area of the side walk .The area of the sidewalk will the difference of the areas of rectangles ABCD and EFGH .
The dimensions of rectangle EFGH is 35ft * 14ft
So it's area would be ,
A = l*b
A = 14ft * 35ft
A = 490ft²
Now the length of the rectangle EFGH will be,
l = 35ft + 2*3.5ft
l = 35ft + 7ft
l = 42ft
Again,its breadth will be,
b = 14ft + 2*3.5ft
b = 14ft + 7ft
b = 21ft
So it's area would be,
A = l * b
A = 42ft * 21ft
A = 882ft²
Therefore the area of the sidewalk will be,
ar(sidewalk) = ar(ABCD) - ar(EFGH)
ar(sidewalk) = 882ft² - 490ft2
ar(sidewalk) = 392ft²
and we are done!
What is the conversion of 3000 m to miles ?
The converted value of the units 3000 meters to the required miles is given by 1. 8641 miles ( round up to four decimal places ) .
Meters and Miles are related to each other as both are units which are used to measure the distance /length between any two or more endpoints.Standard form to Convert meters and miles is equal to :
1 meter = 0.000621371 miles
Now, the value of 3000 meters in miles we get by multiplying it by 0.000621371 we get,
3000 meters = ( 3000 ) × ( 0.000621371 ) miles
= ( 1.864113 ) miles
= ( 1.8641 ) miles ( round up to four decimals places )
Therefore, the value of 3000 meters to miles is equal to ( 1.8641 ) miles ( round up to four decimals places ) .
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PLEASE HELP ME ASAPPP I NEED THIS NOWWW!!!! do your thing plssss
4) Practice: Summarizing
Write x1, y1, x2, and y2 in the blanks to complete the formula.
Slope = ---------------
Anser 15
Step-by-step explanation:
X + 7y = -49 quiero saber la respuesta
Answer:x=-49 I hope this helps I speak little Spanish
Step-by-step explanation:
X+7y=-49
To find the -intercept/zero, substitute Y=0
X+7 times 0=-49
Any expression multiplied by 0 equals 0
X+0=-49
Removing 0 doesn't change the value, so remove it from the expression
X=-49