Answer:
The area of the dog pen is 522 [tex]ft^2[/tex]. (feet squared)
The perimeter of the dog pen is 94 feet
Step-by-step explanation:
Area
Here is the formula for the area of a rectangle.
[tex]A=lw[/tex]
We are given
[tex]l=29\\w=18[/tex]
Lets evaluate [tex]A[/tex].
[tex]A=29*18\\A=522[/tex]
Perimeter
Here is the formula for the perimeter of a rectangle.
[tex]P=2w+2l[/tex]
We are given
[tex]l=29\\w=18[/tex]
Lets evaluate [tex]P[/tex].
[tex]P=2l+2w\\P=(2*29)+(2*18)\\P=58+(2*18)\\P=58+36\\P=94[/tex]
caleb earned 15 dollars on monday and 25 dollars on saturday when he raked his neighbors yard. on sunday he gave 10 percent in the offering at church. how much did he give away.
15 + 25 = 40
10% of 40 = 4
Therefore, Caleb gave $4 to the church!
Hope this helps :D
Andre saves up the same amount of money each week the table shows the amount he saves in different number of weeeks how much money does Andre save in 4p weeks
The amount of money saved by Andre in 40 weeks is $1280.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is Andre saves up the same amount of money each week.
We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -
y = mx + c
Then -
m = (288 - 224)/(9 - 7)
m = 64/2
m = 32
Now -
y = 32x + c
For the point (7, 224), we can write -
224 = 32 x 7 + c
c = 0
For {x} = 48, we can write the amount of money saved as -
y = 32 x 40
y = 1280
Therefore, the amount of money saved by Andre in 40 weeks is $1280.
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Rob collects model planes one of his planes uses a sacks in which 1 inch represents 1. 5 feet if the length of the model airplane is 12 inches find the length of the actual airplane on feet
If 1 inch represents 1.5 feet, we can use this conversion factor to find the length of the actual airplane in feet. Thus 12 inches of model airplane represents an actual length of the actual airplane of 18 feet.
Therefore the answer is 18 feet.
To convert the length of the model airplane (12 inches) to feet, we can multiply it by the conversion factor (1 inch = 1.5 feet)
= 12 inches × 1.5 feet/inch
= 18 feet
So the length of the actual airplane is 18 feet.
It is important to pay attention to the units of measurement when performing conversions and make sure to use the correct conversion factor. And also it's a good practice to always check your answer to make sure it makes sense in the context of the problem.
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The two expressions below have the same value when rounded to the nearest hundredth
log5b log948
what is the approximate value of logb to the nearest hundredth
0.93
1.23
9.16
65.53
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
Logarithms:The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function.
In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)
Given that
The two expressions below have the same value when rounded to the nearest hundredth
=> ㏒₅ (b) = ㏒₉ (48)
As we know ㏒ₐ(b) = ㏒(b)/ ㏒(a)
=> ㏒₅ (b) = ㏒(b)/㏒(5)
=> ㏒(b)/㏒(5) = ㏒₉ (48)
=> ㏒(b) = ㏒₉ (48) ㏒(5)
=> ㏒(b) = (1.7618)(0.6989)
=> ㏒(b) = 1.23132202
=> ㏒(b) = 1.23
Therefore,
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
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Is there an AAA similarity?
The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that "If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or percentage) and consequently the two triangles are similar".
A triangle is a closed two-dimensional shape or polygon with the fewest sides in mathematics. A triangle is made up of three sides and three angles. The most significant attribute of a triangle is that the sum of its internal angles equals 180°.
Conditions for Triangle Similarity
If the corresponding angles of two triangles are identical, they are said to be comparable triangles.
If their respective sides have the same proportion/ratio.
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Today in class, we did calculations with decimals. Reflect on how you made these calculations:
How did we compute products of dollar amounts that were not whole numbers?
For example, how would you compute the product of 3 student tickets at $4. 25 per ticket?
Use this example to explain your strategy.
As per the decimal number system, the cost of 25 tickets is $32.5
The term decimal in math is defined as the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.
Here we have given that the product of 3 student tickets at $4.
Here we have know that the ticket cost for 3 students is $4.
Then the cost of one person is calculated by dividing the cost by the number of students then we get,
=> 4/3
=> 1.3
So, if the cost for one person or ticket is $1.3 then the cost of 25 tickets is calculated as,
=> 25 x 1.3
=> 32.5
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How do you solve a 5 =- 5a 5?
The value of a is zero.
Now, According to the question:
The given equation is:
a + 5 = -5a + 5
To solve the above equation:
Subtract 5 on both sides
a + 5 - 5 = -5a + 5 - 5
a = -5a
Add 5a on both sides:
6a = 0
Divide both sides by 6
a = 0
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The complete question is this:
How do you solve a + 5 = -5a + 5
Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
What is the triangle?Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
Here,
Given : Triangle STU is a right triangle.
Thus,
We find :
sides s,t and u
the relationship between them is :
As it is a right triangle
So,
According to the pythagoras theorem,
=>u²= t²+s²
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
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Write 63 521. 769 correct to the nearest hundred
Lionel purchases 1-pound bags of each of the five seeds and nuts shown in the table. Of the following, which best approximates the average (arithmetic mean) number of calories per bag?
(1 pound = 16 ounces)
A)150
(B)250
C) 1,500
D) 2,500
The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.
What is an arithmetic average?In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the arithmetic average for the number of calories per bag?Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:
Arithmetic average = [F(x)]/n
Next, we would determine the total number of calories and then convert to ounces:
Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185
Total number of calories, F(x) = 788 calories.
Note: 1 pound = 16 ounces.
Total number of calories, F(x) = 788 calories × 16 ounces
Total number of calories, F(x) = 12,608 calories.
Now, we can calculate the arithmetic average for the number of calories per bag:
Arithmetic average = [F(x)]/n
Arithmetic average = 12,608/5
Arithmetic average = 2,521.6 ≈ 2,500.
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What type of graph is an inverse relationship?
On a graph, an inverse relationship always has a negative slope.
What is an inverse relationship?In statistics, if higher values of one variable tend to be related to lower values of the other, there is a negative association or inverse relationship between the two variables.
A negative link between two variables typically denotes a negative correlation, or what is similar in some cases, a negative slope on the associated graph.
Anticorrelation or inverse correlation are other terms for a negative correlation between two variables.
When two variables change in an inverse relationship, they do so in opposite directions: one increases while the other drops, and vice versa.
Y declines as X rises in an inverse relationship.
An inverse relationship always has a negative slope on a graph.
Therefore, on a graph, an inverse relationship always has a negative slope.
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What is 3 8 equivalent to as a fraction?
Answer:
6/16
Step-by-step explanation:
Answer:
Step-by-step explanation:
15/40 i think
Evaluate the expression 5(x – 6 + 3x)2 – 6 where x = 2.
Answers:
1: 974
2: 14
3: -16
4: 26
So the expression evaluates to 14 when x = 2.
To evaluate the expression, we first substitute x = 2 into the expression:
5(2 - 6 + 3*2)^2 - 6
There are two methods for solving simultaneous linear equations: graphical methods and algebraic methods. The algebraic technique includes the substitution method as one of its categories.
The value of one variable from one equation is substituted in the second equation using the substitution method. In this manner, a pair of linear equations is reduced into a single linear equation with only one variable, which can then be solved quickly.
Next, we simplify the expression inside the parentheses:
=5(2 - 6 + 6)^2 - 6
=5(2)^2 - 6
=5*4 - 6
=20 - 6
=14
So the expression evaluates to 14 when x = 2.
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Step 3: Testing Jerome’s sister’s approach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.
Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument.
Yes Jerome's sister is correct.
The answer to the table is given below.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here:
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Drink mix 3 6 9 12 15
water cups 8 16 24 32 40
we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.
Hence, The complete table is shown above.
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Write two expressions for the perimeter of a square explain what information is in one of your expression that is not in the other
The expression for the perimeter of a square will be p = 4s.
How to calculate the perimeter?The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.
It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:
p = 4 × s.
p = 4s
where s = number of sides.
p = perimeter
For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:
= Value of sides × 4
= 2 × 4
= 8cm
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CAN SOMEONE PLS HELP WITH THIS QUESTION ILL GIVE 20 POINTS
To fix their problem, a consumer is requesting a phone call,... I'll get a notification as soon as you respond.
How high is the ball after one second?The ball's height is 86 feet after one second. h=176t-16t2 calculates the height of a ball in feet after t seconds.
How much time did the ball take to hit the ground When the ball lands, its height (h) is 0 feet. You launch a ball into the air with an initial vertical velocity of 32 feet per second while standing at a height of 5 feet.
Calculate the maximum height of the ball using the vertical motion model, which is h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet.
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How do I find prime factorization?
Answer:
One way is to make a factor tree. She below for examples.
Step-by-step explanation:
Answer:
You basically just count jumps of that number
In the cube $ABCDEFGH$ with opposite vertices $C$ and $E$, $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD}$, respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2$
(A) $\frac{5}{4}$ (B) $ \frac{4}{3} $ (C) $ \frac{3}{2} $ (D) $ \frac{25}{16}$ (E) $\frac{9}{4}$.
The value of R² is 3/2
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
We can see that EJCI is a rhombus and
Area of rhombus is given by
Area of rhombus = Lenth of one diagonal * length of another dialonal / 2
Thus,
EC = (a^2 + a^2 + a^2)^0.5
=> EC = a * (3)^0.5
JI = (a^2 + a^2 )^0.5
=> JI = a * (2)^0.5
So, the area of EJCI = EC * JI / 2
=> Area = (1/2) * (a^2) * (6)^0.5
Area of face = a^2
R = [ (1/2) * (a^2) * (6)^0.5] / a^2
=> R = 1/2 * 6^0.5
So, the required R² is
R^2 = (1/4) * 6
=> R^2 = 3/2
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In a survey of 170 girls, it was found that 18 girls
can neither dance nor can sing, 96 can dance and
69 can sing. By representing these information in
a Venn-diagram, find the number of girls who
both dance and sing.
Ans: 13
Answer:9
Step-by-step explanation:beacuse if you take 6 by 9 and 10 it will make 2 of 69
What is 3 6 equivalent to in fractions?
Answer:
1/2
Step-by-step explanation:
What are the zeroes of the function?
Correct option is B, The three zeros are 2, 3, -3.
The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis.
If a number's unit digit or end indicates a zero, it is a multiple of 10 and so divisible by 10. As a result, the amount of zeros at the end of every number determines how many times it may be raised to the power of 10.
y= (x-2)(x-3)(x+3)
The zeros of the above function are -
x = 2
x = 3
x = -3
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Using the five digits 7, 7, 8, 8, and 8 once each, how many positive five-digit integers can be formed?
Answer:
There are 5 choices for the first digit, 5 choices for the second digit, 4 choices for the third digit, 3 choices for the fourth digit, and 2 choices for the fifth digit.
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
1/2
Step-by-step explanation:
-3x+5x-2>-4x+1
first, you will combine like terms. -3x+5x=2x.
2x-2>-4x+1
you need to move the variable to one side. So you will add 4x on both sides.
6x-2>1
You need to add 2.
6x>3.
Now you will divide both sides by 6 to get x by itself.
x> .5 or 1/2
pls barinliest
a farm house has 11 animals some are goats and some are ducks there are 34 legs all together how many ducks and goats
There are 11 animals on a farm, some of which are goats, while others are ducks. The total number of legs on the ducks and goats is 34.
Explain about the Expression?An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the expression 4m + 5.
In mathematics, an expression is referred to as an algebraic expression if it contains variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions are made up of multiple terms.
Functions, variables, and numbers make up an expression (such as addition, subtraction, multiplication or division etc.) It is possible to contrast phrases and expressions.
There are 11 animals, and they have a combined total of 34 legs.
Set G and D to the number of goats and ducks, respectively.
Consequently, G = 11 - D when G + D = 11, and vice versa.
therefore 4G + 2D = 34
Using the value as a stand-in for G, we obtain 4(11 - D) + 2D = 34.
By expanding, we have 34 - 44 - 4 + 2D.
The answer is D = 5. Thus, G equals 6.
Proof (5 x 2) plus (6 x 4) equals 34.
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How to solve and answer?
Answer:
I believe the answer is 3
Step-by-step explanation:
because NO and KL are parallel, they have the same length which is 3 as given in the question description. We also know that KL and NM have the same length. Therefore, NM is also 3.
a dealer sold printing machine for 47460 including 13% vat. find the original price(excluding vat).
Answer:
42000
Step-by-step explanation:
Original price (before VAT) is 100% of price.
VAT is 13%, of the original price so final price is 113% of original price.
113% = 1.13
original price = 47460/1.13 = 42000
Is 9x² 30x 25 a perfect square trinomial?
Yes, [tex]9x^2-30x +25[/tex] is a perfect square trinomial.
How can you tell if a trinomial is a perfect square?A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial of the form [tex]ax^2 + bx + c[/tex] meets the requirement [tex]b^2 = 4ac[/tex], it is said to be a perfect square.
What trinomial has a perfect square?Two of your terms will be perfect squares in a perfect square trinomial. This trinomial is not a perfect square trinomial if it lacks two perfect square terms. The square root of each perfect square word should now be determined, combine the two square roots, then multiply the result by two.
This trinomial is a perfect square. The only thing left to determine is whether the middle term matches when you square (3x-5) because both [tex]9x^2=(3x)^2\ and\ 25=52[/tex] are perfect squares. The minus sign was used to at least produce a negative coefficient for the middle term.
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A pet store has 15 puppies, 6 kittens, and 8 hamsters. Alice, Bob, and Charlie each want to buy a pet. For variety, they each want a different kind of pet. How many ways can Alice, Bob, and Charlie buy pets and leave the store satisfied
There are 24 ways for Alice, Bob, and Charlie to buy pets and leave the store satisfied. They could each buy a puppy, a kitten, and a hamster, or they could each buy a different combination of the three types of pets.
How many different pet options can Alice, Bob, and Charlie choose from before feeling satisfied?Alice, Bob, and Charlie can leave the pet store satisfied in 12 different ways.This can be shown using a combination equation, where n = the number of items (in this case, pets) and r = the number of selections (in this case, 3): C(n,r) = n! / (r! × (n - r)!). In this equation, n = 29 (15 puppies + 6 kittens + 8 hamsters) and r = 3 because Alice, Bob, and Charlie each have to select one pet.When plugging these numbers into the equation, the result is C(29,3) = 29! / (3! × (29 - 3)!) = 29! / (3! × 26!) = 8649 / 514880 = 12 different ways. Alice, Bob, and Charlie can each select a puppy, a kitten, and a hamster and leave the store satisfied in 12 different ways.Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Step 1: Alice can buy a puppy, Bob can buy a kitten, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 2: Alice can buy a kitten, Bob can buy a hamster, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 3: Alice can buy a hamster, Bob can buy a puppy, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 4: Alice can buy a puppy, Bob can buy a hamster, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 5: Alice can buy a kitten, Bob can buy a puppy, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 6: Alice can buy a hamster, Bob can buy a kitten, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. In sum, Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Each person can buy a different kind of pet and the store will still have the same number of pets afterwards.To learn more about the combination theory refer to:
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Helpppp pleaseeeeeeeee
Answer:
Step-by-step explanation:
Solve this problem
Step by step
The measure of the missing length of the trapezoid is equal to 3√39 units.
How to determine the missing length of a trapezoid
Trapezoids are quadrilaterals with only one pair of congruent sides and two pairs of congruent angles. The relationship between the longest and shortest legs (D, d) in a trapezoid is defined below:
D = d + 2 · c
Where c is the length of the horizontal leg of the right triangle in a trapezoid.
And the missing leg can be found by means of Pythagorean theorem:
x = √(r² - c²)
Where:
r - Hypotenusec - Shortest legx - Longest legFirst, determine the length of shortest leg: (D = 40, d = 26)
40 = 26 + 2 · c
14 = 2 · c
c = 7
Second, find the longest leg by Pythagorean theorem:
x = √(20² - 7²)
x = 3√39
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