Surface area of any figure is the area that the outer surface of any figure covers.
If we look at the different figures we find that these figures if placed somewhere or if we need to cover the figures with some kind of material then in order to find the the dimensions of the material we will need to find out the area that the overall surface of the figure will cover. This will reduce the time and complication of the calculations of every part of the shape. For example, If there is a need to find the surface area of the cylinder then we use the formula for its curved surface area as
S = 2πrh where r is the radius and h is the height of cylinder
Also, the total surface area will be expressed as
T = 2πr(r + h) where r is the radius and h is the height.
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what is 464 divided by 60 with a remainder?
(trying to figure out how many hours is 464 minutes)
The remainder when the number 464 is divided by 60 is 44.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the number 464 is divided by 60. The remainder will be calculated as,
Divide the number 464 by the basic operation of long division.
60 ) 464 ( 7
-420
_______
44
When 464 is divided by 60, the remainder is 44.
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What is the length of DE?
The value of the length of side DE is 6.3 units
How to determine the length of DE?From the question, we have the following parameters that can be used in our computation:
The triangles ABC and DBE
From the question, we can see that the following corresponding sides on the triangles:
Sides AD and DB
Sides CE and EB
This implies that these sides are congruent sides
This is evident by the marks on these sides
Also from the figure, we have that:
The endpoints of the line DE is at the midpoint of lines AB and BC
This means that we have the following equation
DE = 1/2 * AB
Substitute the known values in the above equation, so, we have the following representation
DE = 1/2 * 12.6
Evaluate the products
DE = 6.3
Hence, the length DE is 6.3 units
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please anyone help me with this question i need it ASAP!! all it’s asking if the following lines parallel or perpendicular or neither. please anyone help meee
Answer: Neither.
Step-by-step explanation: I believe it's neither because I plotted the given points below and it gave me this for the result:
Hope this helps! :)
tommy is buying used books for school. the price of the book is 180. he uses the 30% off student discount and there is a 4% sales tax. what is the total price ?
Using percentages we know that the total price of the book that Tommy will pay is $131.04.
What is the percentage?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.
Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it.
A% is a number that has neither dimensions nor a defined unit of measurement.
For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).
So, we know that the price of the book is 180.
Sales tax is 4%. So, the total price:
180/100 * 4 = 7.2$ ⇒ $187.2
Now, there is a 30% discount:
187.2/100 * 30 = $56.16
⇒ 187.2 - 56.16 = $131.04
Therefore, using percentages we know that the total price of the book that Tommy will pay is $131.04.
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A farmer wants to make a rectangular field with a total area of. It is surrounded by a fence. It is divided into equal areas by fences. What is the shortest total length of fence with which this can be done?.
The shortest total length of the fence is 808 m.
What is a rectangle?
A rectangle is a quadrilateral with all four interior angles 90°.
Given that the area of the rectangular field is 800 m².
Let the length and the width of the rectangle be x and y.
Then, the area of the rectangle is:
A= xy
Or, xy = 800
x = 800/y (1)
The perimeter of the triangle is:
2x +2y
Since the triangle is divided into three equal parts by fence, the total length of the fence is equal to the sum of the perimeter of the triangle and two times the length or width of the triangle.
Therefore, the total length of the fence is:
L = 2x + 2y + 2x
L = 4x +2y
Substitute x = 800/y into the above equation:
L = 4(800/y) + 2y
L = 3200/y +2y (2)
Differentiate the equation with respect to y:
L' = -3200/y² +2
Substitute L'= 0 into the above equation:
0 = -3200/y² + 2
y² = 3200/2
y² = 1600
y = 400
Substitute y = 400 into equation (2):
L = 3200/400 + 2(400)
L = 8 + 800
L = 808
Hence, the shortest total length of the fence is 808 m.
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calculate the volume of the pyramid below. V=blank cm3. 6,4,5,6
A hula hoop ha a radiu of 18 inche. Madion i going to roll it down her 15 foot driveway. How many rotation will it take to get to the end?
Working on the perimeter of the hoop, The rotation by the hoop to reach the end of 15 foot is about 1.59.
What do you perimeter?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
What is the formula for the perimeter of circle?The required formula is:
[tex]P = 2\pi r[/tex]
radius = 18 inches = 1.5 foot
Perimeter = 2 * 3.14 * 1.5
=9.42
Number of rotations = 15 / 9.42
=1.59
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Find the measure of angle 1
Answer: 58 degrees
Step-by-step explanation: add the 2 angles that you know together, then subtract that number from 180. This is using the triangle sum theorem.
Answer:
b is the correct answer
Step-by-step explanation:
92 degree +30 degree +angle 1 = 180 (Since, Sum of angles of triangle is 180 degree)
Therefore, angle 1 is 58 degree .
48 ÷ ((2 + 6) × 2) − 1
Answer:
Step-by-step explanation:
pemdas - parenthesis , exponet, multiply, divide, add, subtract. your answer is 3.5
Two friends are sharing one half of a pizza that is divided into three pieces, as shown in the figure.
Circle O has diameter A D and radii B O and C O. Angle A O B is adjacent to angle B O C. Angle B O C is adjacent to angle C O D.
If m∠AOB = (3x − 6)° and m∠BOD = (5x + 14)°, what is the value of x?
10.0
21.5
58.5
121.5
If m∠AOB = (3x − 6)° and m∠BOD = (5x + 14)° in this pizza, the value of x is equal to: B. 21.5.
What is a supplementary angle?In Mathematics, a supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.
Mathematically, a supplementary angle can be calculated by using this formula:
X + Y = 180
Where:
X and Y are measure of the angles subtended.
Generally speaking, we know that an entire pizza is circular in shape with an angular measure of 360°. This ultimately implies that, one-half of an entire pizza is equal to 180°, which means m∠AOB and m∠BOD are supplementary angles.
Substituting the given parameters into the formula, we have;
m∠AOB + m∠BOD = 180
3x − 6 + 5x + 14 = 180
8x + 8 = 180
8x = 180 - 8
8x = 172
x = 172/8
x = 21.5.
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Answer:
Step-by-step explanation:
B) 21.5
Approximate the area under the curve y = x 3 from x = 3 to x = 5 using a right endpoint approximation with 4 subdivisions.
The approximation of the area of the region R is 182.8125
Given:
y = x^3
from [2,5] using 6 subdivisions
deltax = (5 - 2)/6 = 3/6 = 0.5
hence the subdivisions are:
[2, 2.5]; [2.5, 3]; [3, 3.5]; [3.5, 4]; [4, 3.5]; [4.5, 5]
hence the right endpoints are:
x1 = 2.5; x2 = 3; x3 = 3.5; x4 =4; x5 = 4.5; x6 = 5
now the area is given by:
A = deltax*[2.5^3 + 3^3 + 3.5^3 + 4^3+ 4.5^3 + 5^3]
A = 0.5*365.625
A = 182.8125
The area using the Right Endpoint approximation is 182.8125.
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[extra credit] how many ways are there to create an injective function from a set of 5 elements to a set of 7 elements?
There is a total of 2520 ways to create an injective function.
What is an injective function?
A function f called an injective function (sometimes called an injection, or one-to-one function) translates different elements of its domain into different elements.
Now, we can create an injective function from a set of 5 elements to a set of 7 elements
Based on the definition of an injective function,
For 1st element, we have a total of 7 choices
For 2nd element, we have a total of 6 choices and so on.
So, total ways = 7*6*5*4*3 = 2520
Hence, 2520 ways are there to create an injective function.
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the p-value is less than the significance level. (a) we have a type i error (b) we have a type ii error (c) we may have a type i error (d) we may have a type ii error
If the p-value less than the significance level then we have a type i error.
We know that if your P-value is less than the chosen significance level then you reject the null hypothesis i,e. accept that your sample gives reasonable evidence to support the alternative hypothesis.
Im statistics, a type i error means rejecting the null hypothesis when it's actually true, while type ii error means failing to reject the null hypothesis when it's actually false.
The chance that you commit type i errors is known as the type i error rate or significance level (p-value). This number is conventionally and arbitrarily set to o.o5 or 5%. Type ii errors are like "false negatives", an incorrect rejection that a variation in a test has made no statistically significant difference.
The probability of making a type i error is represented by alpha level, which is the p-value below which you reject the null hypothesis.
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please help!!!!!!!!!!!!!
Answer:-3
Step-by-step explanation: -3 because when you do it I really don't know how to explain it srry
Sophia uses 334 cups of flour for each cake she makes. She has a 10-pound bag of flour that costs $8.79 and contains 152 quarter-cup servings.
Question 1
Part A
How many cakes can Sophia make with this flour?
Answer:
The number of cakes Sophia can make is 10.
Step-by-step explanation:
The bag of flour contains 152 quarter-cup servings. So, the quantity in t he bag has to be divided by four.
Number of cups = 152 / 4 = 38 cups
In order to determine the number of cakes she can make, divide the number of cups in the bag by the cups needed to make one cake.
38 ÷ 3 3/4
38 ÷ 15/4
38 × 4/15 = 10.1 cakes
When trevor and brian play ping pong, the probability that trevor will win is 0. 6. If trevor and brian play two games of ping pong, what is the probability that they each win one of the games? assume games are independent.
The probability that they will each win a game = 0.24
Given,
The probability that Trevor will win the game p = is 0.6
The formula we will use for calculating Trevor losing the game
⇒ q = 1 - p
Now the probability of Trevor losing the game ⇒ q = 1 - 0.6
= 0.4
Now the probability that Brian wins = 0.4 when Trevor loses and the probability that Trevor wins = 0.6 when Brian loses the game.
Now the four possibilities that will decide the outcome for 2 ping pong games-
Trevor wins both games = 0.6 x 0.6 ⇒ 0.36Trevor wins the first and Brian wins the second ⇒ 0.6 x 0.4 = 0.24Brian wins the first and Trevor wins the second ⇒ 0.4 x 0.6 = 0.24Brian wins both games ⇒ 0.4 x 0.4 = 0.16Total probability = 0.36 + 0.24 + 0.24 + 0.16
= 1
Therefore, the probability that they each win one of the games = is 0.24
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What does splitting a verb mean?
Splitting a verb represents the meaning to divide lengthwise basically by layers or along a grain.
Explanation:
Splitting a verb represents the meaning as follow :
Word split defines to divide any group into small groups or subgroups.Splitting a verb explains to divide lengthwise basically in layer form or along a grain.Splitting a large group into small groups as per the category defined .For example : Students participates in discussion divided into different groups.It makes the work easy .It represent any number or group apart forcibly.Therefore, splitting a verb represents to divide lengthwise basically layer wise or along a grain.
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In ΔUVW,
U
W
‾
UW
is extended through point W to point X,
m
∠
U
V
W
=
(
3
x
+
4
)
∘
m∠UVW=(3x+4)
∘
,
m
∠
V
W
X
=
(
8
x
−
12
)
∘
m∠VWX=(8x−12)
∘
, and
m
∠
W
U
V
=
(
x
+
20
)
∘
m∠WUV=(x+20)
∘
. What is the value of
x
?
x?
The value of x is 9°
What do you mean by degree?
A unit of measure is used to measure the magnitude of an angle.
1 degree equals 1/360 of a complete revolution in magnitude.
Given that:
ΔUVW with side UW extended to X
m ∠UVW = (3x + 4)°
m ∠VWX = (8x -12)°
m ∠WUV = (x + 20)°
We know that ,
Sum of angles of triangle = 180°
m ∠UVW + m ∠WUV + m ∠VWU = 180°
m ∠VWU = 180° - (m ∠UVW + m ∠WUV)
Also we know that sum of angles on a straight line
m ∠VWX and m ∠VWU are supplementary angles
m ∠VWX + m ∠VWU = 180°
m ∠VWU = 180° - m ∠VWX
m ∠VWX = (m ∠UVW + m ∠WUV)
Substituting the given values , we get
(8x -12)° = (3x + 4)° + (x + 20)°
8x - 3x - x = 4 + 20 + 12
4x = 36
x = 36/4 = 9
x = 9°.
Therefore , The value of x is 9°
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45/27 = x/3 pls help
Answer:
x = 5
Step-by-step explanation:
[tex]\frac{45}{27}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )
27x = 3 × 45 = 135 ( divide both sides by 27 )
x = 5
Answer:X=5
Step-by-step explanation:
1st. divide the numbers
2nd. Multiply all terms by the same value to eliminate fraction denominators
3rd.Cancel multiplied terms that are in the denominator
4thMove the variable to the left
which gets: x=5
Your uncle wants to create a dog small enough to fit into a purse. Of the hundreds of dogs on his farm, he breeds only the smallest 10% of them. He then breeds only the smallest 10% of their offspring, and continues to breed only the smallest 10% of each generation. Over 20 years, he observes that his group of dogs did become smaller (though not small enough to fit into a purse). Which line of support does he have that his dogs have evolved?.
A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.
The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.
Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.
In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.
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here is another
(2x2^2)+1
Answer:
4*2=8
8+1=9
Step-by-step explanation:
a rock dropped into a pond causes a circular wave of ripples whose radius increases at 3 inches per second. how fast is the area of the circle of ripples expanding at the instant that the radius of the circle is 21 inches?
The area of the circle is increasing at a rate of 126π sq. inches per second
What are Derivatives?
The derivative of a function of a real variable in mathematics describes the sensitivity of the function value to a change in its argument. Calculus relies heavily on derivatives.
Solution:
Area of Circle = πr²
To find the rate of change we need to use Derivatives
dA/dt = 2πr * dr/dt
we know that the radius is increasing at a rate of 3 inches per second so,
dr/dt = 3 inches per second
Rate of Change = 2π*21*3 inches per second
The area of the circle is increasing at a rate of 126π sq. inches per second
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Solve the following linear equation for x.
5\{x}-2+\{x}=9+3\{x}+105x−2+x=9+3x+10
Answer:
x=21.
Step-by-step explanation:
x=21.
The collection of ordered pairs below represents a function: {(4, 19), (-2, 77), (0, 10), (), (1, 10). (-3,0), (100, 100)} a. State the domain of the function. b. State the range of the function.
Answer:
Domain: [-3,100] if continuous. {x|x=-3,-2,0,1,4,100} if discrete.
Range: [0,100] if continuous. {y|y=0,10,19,77,100} if discrete.
Step-by-step explanation:
The length of a rectangle is 3 inches longer than half of its width. The area of the rectangle is 416 square inches. How many inches in width is the rectangle?
A. 16 inches
B. 19 inches
C. 26 inches
D. 32 inches
Answer:
C
Step-by-step explanation:
solve the problem and you get 30 coins
x3+y3+z3=k
Answer: 42
Step-by-step explanation:
Which One Doesn't Belong? Identify the linear expression that does not belong with the other three. Multiple choice question. A) (−5x+3)−(−7x−1) B) (−3x+3)−(−5x−2) C) (x−6)−(−x−10) D) (−7x+2)−(−9x−2)
Answer:
Step-by-step explanation:
a d c
George and Ringo are building frames for the backdrop in the school play. The frames include braces made by two by fours to stabilize the backdrop. The height of the backdrop and the side of the brace on the floor are the same length. What is the angle the long, slanted part of the brace makes with the side of the brace?
Answer: i need the answer
Step-by-step explanation:
HE LP
How do I find the slope between (8,12) (10,20)
Answer: m = 4
hope thats right .
Step-by-step explanation:
Answer:
Let
Step-by-step explanation:
Let, (8,12) be (x1 and y1)
(10,20) be (x2 and y2)
We know that,
Slope = y2-y1
-----------.
x2-x1
= 20-12
-----------
10-8
= 8
-------
2
= 4 ans
so, the slope between twoo points is 4
Which town has a greater population density?
Town A: 397,546 people within 387 square miles
Town B: 264,108 people within 261 square miles
A. Town A, by about 15 people per square mile.
B. Town B, by about 126 people per square mile.
C. Town A, by about 1,027 people per square mile.
D. Town B, by about 1,012 people per square mile.
Answer:
A
Step-by-step explanation:
we find how many people are every square mile by dividing
397,546/387
1027 people per square mile
Town B: 264,108/261
1012 people per square mile
1027-1012
15
Town A is bigger by 15 people so A is correct
hopes this helps
The population density of Town A is 15 more than the of Town B so, option A is correct.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Given:
Town A: 397,546 people within 387 square miles,
Town B: 264,108 people within 261 square miles,
Calculate the density in Town A as shown below,
The density in Town A = Total number of people/total area
The density in Town A = 397546 / 387
The density in Town A = 1027.25
Calculate the density in Town B as shown below,
The density in Town B = Total number of people/total area
The density in Town B = 264108 / 261
The density in Town B = 1011.9
Thus, find the difference as shown below,
The density in Town A - The density in Town B
1027.25 - 1011.9
15.3 or 15
Therefore, the greater population density, is of Town A, by about 15 people per square mile.
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