The dimensions of the box are 22 inches by 22 inches by 10 inches.
The candles are arranged in a 3x3x1 formation, which means they occupy a space of 3 candles in length, 3 candles in width, and 1 candle in height. The height of each candle is 6 inches, so the total height of the candles is 6 inches. The diameter of each candle is 6 inches, so the width and length of the candle formation are each 6*3 = 18 inches.
To calculate the dimensions of the box, we need to add the padding around the candles. There is 1 inch of padding on all sides of the box, which adds 2 inches to the width, length, and height of the box. There is also 1 inch of padding between each candle in all directions, which adds 2 inches to the width, length, and height of the box. Therefore:
Width of box = (3 candles * 6 inches/candle) + (2 inches padding * 2) = 18 inches + 4 inches = 22 inches
Length of box = (3 candles * 6 inches/candle) + (2 inches padding * 2) = 18 inches + 4 inches = 22 inches
Height of box = 6 inches + (2 inches padding * 2) = 10 inches
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Find the area of the circle. Round your answer to the nearest whole number, if necessary.
The circle is 20 in fully 10 half
area: about
in.2
Answer:
if you round of. 20 the answer is 10
Find the area of the circle. Round your answer to the nearest hundredth. diameter 3in
Area of circle = pi × r squared
A= 3.14....× (1.5×1.5)
A= 7.068583471
A= 7.07in( to nearest hundredth)
Emily's younger brother, Kenny, begged her to make him a superhero costume for Halloween this year, so of course Emily did! Emily sewed a 600-square-inch trapezoid-shaped cape with a big "K" on it. The length along the top of the cape was 24 inches, and the length along the bottom was 36 inches what is the height
Answer:
20 inches
Step-by-step explanation:
Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by
A =1/2(a + b)h where a = length along the top of the cape = 24 in, b = length along the bottom of the cape = 36 in and h = height of the cape
So, h = 2A/(a + b)
= 2 × 600 in²/(24 in + 36 in)
= 1200 in²/60 in
= 20 in
So, the height of the cape is 20 inches
The triangle on the grid will be translated two units left.
On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 1, negative 5), (0.5, negative 5).
Which shows the triangle when it is translated two units left?
On a coordinate plane, triangle A prime B prime C prime has points (1, negative 1), (1, negative 5), (2.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, negative 1), (negative 3, negative 5), (negative 1.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, 1), (negative 1, negative 3), (0.5, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, negative 3), (negative 1, negative 7), (0.5, negative 7)
Given:
The vertices of a triangle are A(-1,-1), B(-1,-5), C(0.5,-5).
The figure is translated 2 units left.
To find:
The vertices and the diagram of the triangle after the given translation.
Solution:
if a figure is translated 2 units left, then
[tex](x,y)\to (x-2,y)[/tex]
Using the above rule, we get
[tex]A(-1,-1)\to A'(-1-2,-1)[/tex]
[tex]A(-1,-1)\to A'(-3,-1)[/tex]
Similarly,
[tex]B(-1,-5)\to B'(-1-2,-5)[/tex]
[tex]B(-1,-5)\to B'(-3,-5)[/tex]
And,
[tex]C(0.5, -5)\to C'(0.5-2,-5)[/tex]
[tex]C(0.5, -5)\to C'(-1.5,-5)[/tex]
So, the vertices of the triangle after the translation are A'(-3,-1), B'(-3,-5), C'(-1.5,-5).
Therefore, the correct option is B.
Answer:
B
Step-by-step explanation:
please help find measure of h.Will mark brainlyist to right answer.No link!
Answer:
∠ H = 59°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
121° is an exterior angle of the triangle, then
6x - 1 + 5x + 12 = 121 , that is
11x + 11 = 121 ( subtract 11 from both sides )
11x = 110 ( divide both sides by 11 )
x = 10
Then
∠ H = 6x - 1 = 6(10) - 1 = 60 - 1 = 59°
A turtle can walk 12 miles in 3 miles. What is the average speed of the turtle?
Answer:
4mph
Step-by-step explanation:
A piece of pizza with a diameter of 20 inches is eaten and m∠IPZ=45°. What is the perimeter of the piece of the pizza eaten in inches?
Answer:
Perimeter of pizza slice = 27.85 inches (Approx.)
Step-by-step explanation:
Given:
Diameter of pizza = 20 inches
So,
Radius of pizza slice = Diameter of pizza / 2
Radius of pizza slice = 20 / 2 = 10 inches
∠IPZ = 45°
Find:
Perimeter of pizza slice
Computation:
Perimeter of pizza slice = 2[Radius of pizza slice] + [θ/360][2πr]
Perimeter of pizza slice = 2[10] + [45/360][(2)(22/7)(10)]
Perimeter of pizza slice = 20 + [0.125][(2)(3.14)(10)]
Perimeter of pizza slice = 20 + [0.125][62.8]
Perimeter of pizza slice = 20 + 7.85
Perimeter of pizza slice = 27.85 inches (Approx.)
The perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
For this case, we're given that:
Angle m∠IPZ=45°.Diameter of the circular pizza = 20 inchesNot using the above formula, but the concept, we know that:
360° covers full arc, which is [tex]2\pi r[/tex] inch lengthed long.45° is 360°/8, so it will cover [tex]2\pi r/8[/tex] inch long arc (the arc IZ).Since diameter of pizza = 20 inches, its radius r = 10 inches.
Thus, the length of the arc IZ = [tex]\dfrac{2 \times \pi \times 10}{8} \approx 1.9635 \: \rm inches.[/tex]
Perimeter of the slice of the pizza eaten = sum of the length of its boundaries = Length of arc IZ + length of line IP + length of line ZP
Since line IP and ZP are radius, thus:
Perimeter of the slice of the pizza eaten ≈ 1.9635 + 10 + 10 = 31.9635 inches.
Thus, the perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.
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You make annual deposits of $8,500 into a savings account that pays an annual interest rate of 3.8%, with interest credited to the account annually. If you now have $461, 103.46 in the account, for how many years have you been investing money in this account?
You have been investing money in this account for approximately 15 years.
How long have you been investing money?To determine the number of years you have been investing money in the account, we can use the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)ⁿ- 1] / r
Where:
FV = Future value (final balance in the account) = $461,103.46
P = Annual deposit amount = $8,500
r = Annual interest rate = 3.8% or 0.038 (expressed as a decimal)
n = Number of years
By substituting the given values into the formula and solving for n, we can determine the number of years you have been investing:
$461,103.46 = $8,500 * [(1 + 0.038) ⁿ- 1] / 0.038
54.24 = (1.038 ⁿ - 1) / 0.038
To solve for n, we can rearrange the equation:
1.038 ⁿ- 1 = 54.24 * 0.038
1.038 ⁿ= 2.0632
n = log base 1.038 of 2.0632
Using a logarithmic calculator, we find that n ≈ 14.96. Rounding up, we conclude that you have been investing money in this account for approximately 15 years.
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Help help help help help help
Answer: 19 mins
Step-by-step explanation:
hope this helps
please help i cannot figure this out
I need help finding the Diagonals.
Answer:
OE=53 and UH = 53
Step-by-step explanation:
Pythagoras theorem
find the missing side z
Answer:
Z=[tex]7\sqrt{2}[/tex] m
Step-by-step explanation:
This is a 45º-45º-90º triangle. That means the side lengths are x, x, and [tex]x\sqrt{2}[/tex].
In this case 14 m is equal to [tex]x\sqrt{2}[/tex]. Now solve for X, which is equal to Z.
The rest of the work is written down in the file attached
Don't forget the units though!
hope I could help
Valerie wants to use a PIN to make her purchase more secure. Which method of payment can Valerie use? Credit card , cash, check, or debit card? Question 2: Mr. Juniper uses his debit card to withdraw $10 cash from checking account for football ticket. Which is an advantage of using the debit card? Answers: mr. juniper does not have to remember a number In order to access his checking account, mr juniper debit card can never be lost or stolen, mr juniper will earn rewards such as free hotel stays.
Mr juniper cash will be taken directly from his checking account.
PLS HELP :D I’m low on points but can u help?
Answer: Question 1, debit card because debit cards are used for atms which requires a pin. A positive is that you’re using your own money for a debit card and not from another source, so you don’t have to pay extra frees
Step-by-step explanation:
Un muchacho le dijo a otro. "adivina cuántos años tengo si las dos terceras partes de ellos menos 1 es igual a mi edad actual menos 6".
Answer:
The age of the boy is 15 years
Step-by-step explanation:
Let us assume a be the age of the boy
So, two-third of his age is 2 ÷ 3 × a
As the boy said that two-third minus 1 so it would be equivalent to
2 ÷ 3 × to - 1
ANd, his current age is a and now if we deduct 6 so
a - 6
AFter this, two-third minus 1 is equivalent to a minus 6
So,
2 ÷ 3 × a - 1 = a - 6
- 1 + 6 = a - 2 ÷ 3 × a
5 = 1 ÷ 3 × a
a = 3 × 5
= 15
Hence, The age of the boy is 15 years
Suppose This system of linear differential equations can be put in the form y' = P(t)y + g(t). Determine P(t) and g(t). P(t) = 3/1₁ 3/2₂2 g(t) = = t³y₁ + 6y₂ + sec(t), sin(t) y₁ + ty₂ - 4.
The system of linear differential equations is given as y₁' = 3y₁ + 3y₂² and y₂' = 2y₁ + t*y₂ - 4. By comparing it with the general form y' = P(t)y + g(t), we determine that P(t) = [[3, 3y₂²], [2, t]] and g(t) = [0, -4].
To determine the coefficient matrix P(t) and the forcing term g(t), we can compare the given system of linear differential equations with the general form y' = P(t)y + g(t).
The given system is:
y₁' = 3y₁ + 3y₂²
y₂' = 2y₁ + t*y₂ - 4
Comparing the first equation with the general form, we have:
P₁₁ = 3
P₁₂ = 3y₂²
g₁(t) = 0
Comparing the second equation with the general form, we have:
P₂₁ = 2
P₂₂ = t
g₂(t) = -4
Therefore, the coefficient matrix P(t) and the forcing term g(t) for the given system are:
P(t) = [[3, 3y₂²], [2, t]]
g(t) = [0, -4]
Note that the value of y₂ is not provided in the equation for g₂(t), so it remains as y₂ in the expression.
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Please answer quickly!!
Which set of data is represented by the box plot?
Answer:
C?
Step-by-step explanation:
natalie has 45 pieces of candy to share with her and her 4 other friends. how many pieces of candy will natalie and all of her friends get?
Answer:
They will each get 9 pieces of candy.
Step-by-step explanation:
if she has 4 friends and she shares with them, she would be sharing with 4 people plus herself, so you would do the problem 45 ÷ 5 = 9.
2. please help me i will give brainliest if ur right
Answer:
Is this high school math or middle school?.
Step-by-step explanation:
a²+b² = c²
8²+2²
↓ ↓
64+4
↓
square root 68 and it should give you 8.24 and then you round.
Draw and identify the coordinates of the image of the figure after a 90° counterclockwise rotation about the origin.
Answer:
5! HOPE I HELPED
Step-by-step explanation:
escribe con letra 0.00125
Answer:
zero point zero zero one two five
Step-by-step explanation:
write the equation of the circle graph below?????
Answer:
(x+2)^2 + (y+2)^2 = 0.75^2
Step-by-step explanation:
equation of a circle in standard form: (x-h)^2 + (y-k)^2 = r^2
center: (-2, -2)
radius: 0.75
equation of the circle in provided graph: (x+2)^2 + (y+2)^2 = 0.75^2
in which situation would hydrogen bonding be present?
A. When hydrogen exists as an ion in solution
B. When hydrogen is attached to C, S or P
C. When hydrogen atoms bond together to form H2
D. When hydrogen is attached to N, F or O
Answer:
D
Step-by-step explanation:
lol this is a weird math question
jk
Hydrogen bonds occur only when hydrogen is covalently bonded to one of three elements: fluorine, oxygen, or nitrogen. Anything else isn't considered a hydrogen bond.
HELPPP (will mark brainliest)
Vera wants to prove that any rectangle is also a parallelogram.
B
A
D
Select the appropriate rephrased statement for Vera's proof.
Choose 1 answer:
Answer:
B
Step-by-step explanation:
I did it on khan academy
A rancher in Central Califomia has a year-long BLM grazing allotment in the Oak Woodlands that is 5,000 acres in size. Seventy percent of this allotment has loam soils and produces 900 lbs. (DM) of forage per year and the remaining 30% has sandy loam soil and produces 500 lbs. of forage (DM) per year. The allotment is split into large pastures enabling rotational grazing to take place and allowing the producer to practice the "take half, leave half philosophy of grazing. As part of his agreement with BLM, the rancher must account for 30 head of elk (500 lbs.). With the remaining forage, determine how many mature 200 lb. ewes the rancher could run on this allotment.
The rancher can run approximately 19,425 mature 200 lb. ewes. To calculate the number of mature 200 lb. ewes the rancher can run on the remaining forage, we need to find the available forage after accounting for the 30 head of elk.
A rancher in Central California has a 5,000-acre BLM grazing allotment in the Oak Woodlands. Seventy percent of the allotment has loam soils producing 900 lbs. (DM) of forage per year, while the remaining 30% with sandy loam soil produces 500 lbs. of forage (DM) per year. The rancher must also account for 30 head of elk (500 lbs.). We need to determine how many mature 200 lb. ewes can be run on the remaining forage.
The total forage available from the loam soil is 70% of 5,000 acres, which is 3,500 acres. This amounts to 3,500 acres * 900 lbs./acre = 3,150,000 lbs. of forage (DM) per year.
Similarly, the total forage available from the sandy loam soil is 30% of 5,000 acres, which is 1,500 acres. This amounts to 1,500 acres * 500 lbs./acre = 750,000 lbs. of forage (DM) per year.
With the elk accounting for 30 * 500 lbs. = 15,000 lbs. of forage, the remaining available forage is 3,150,000 lbs. + 750,000 lbs. - 15,000 lbs. = 3,885,000 lbs.
Dividing the remaining forage by the weight of a mature ewe (200 lbs.), we get 3,885,000 lbs. / 200 lbs. = 19,425 ewes. Therefore, the rancher can run approximately 19,425 mature 200 lb. ewes on this allotment, considering the given forage production and the presence of elk.
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21. Your local grocery store stocks rolls of bathroom tissue in single packages and in more economical 12-packs. You are trying to decide which to buy. The single package costs 45 cents and the 12-pack costs $5. You consume bathroom tissue at a fairly steady rate of one roll every three months. Your opportunity cost of money is computed assuming an interest rate of 25 percent and a fixed cost of $1 for the additional time it takes you to buy bathroom tissue when you go shopping. (We are assuming that you shop often enough so that you don't require a special trip when you run out.) a. How many single rolls should you be buying in order to minimize the annual holding and setup costs of purchasing bathroom tissue? b. Determine if it is more economical to purchase the bathroom tissue in 12-packs.
To minimize the annual holding and setup costs of purchasing bathroom tissue, you should buy single rolls of bathroom tissue. Purchasing the bathroom tissue in 12-packs is not more economical in this scenario.
To determine the optimal choice between buying single rolls and 12-packs of bathroom tissue, we need to consider the annual holding and setup costs.
a. To minimize the annual holding and setup costs, we need to compare the costs of buying single rolls versus 12-packs.
For single rolls:
Cost per roll = $0.45
Holding cost per roll per year = opportunity cost of money * cost per roll = 0.25 * $0.45 = $0.1125
Setup cost per purchase = $1
Consumption rate = 1 roll every 3 months = 4 rolls per year
For 12-packs:
Cost per pack = $5
Number of rolls in a 12-pack = 12
Holding cost per roll per year = 0.25 * ($5 / 12) = $0.1042
Setup cost per purchase = $1
To minimize the annual holding and setup costs, we need to compare the costs of purchasing the required number of single rolls and the cost of purchasing 12-packs.
b. Comparing the costs, it is more economical to purchase single rolls because the holding cost per roll per year is lower for single rolls ($0.1125) compared to 12-packs ($0.1042). Additionally, the setup cost is the same for both options ($1).
Therefore, to minimize the annual holding and setup costs, you should buy single rolls of bathroom tissue rather than 12-packs.
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Helpppppppp pleaseeeeee I will give brainliest if you knowww pleaseeee helpppppppp
Answer:
I think the answer is 1/2 but dont take my word
Jennifer ran 2 miles at the track on Tuesday. If one lap around the track is 1/4 of a mile, how many laps did she run?
Answer:
She would have ran 8 laps.
Step-by-step explanation:
4/4 = 1 mile so therefore she would need 8/8 for it to be 2 miles
Pleaser help me I’m confused
Answers:
A:section A
B: section B
C: Section C
D: Section D
Answer:
SECTION C (i think)
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Answer:
section c
it's square root is 4.123......
Can someone please help me no links please
Answer:
x=6
Step-by-step explanation:
3x- 4=14
+4 +4
3x=18
x=6
Define the linear transformation T: RR by T(v) Av. Find the dimensions of R" and Rm. A = [-2-22] 12 dimension of R" dimension of R
The linear transformation T: R^2 → R^2, defined by T(v) = Av, where A = [[-2, -2], [1, 2]], maps a two-dimensional vector space onto itself. The dimension of R^2 is 2.
In the given linear transformation T: R^2 → R^2, the transformation is defined as T(v) = Av, where A is the transformation matrix. The given matrix A = [[-2, -2], [1, 2]] represents the coefficients of the linear transformation. This means that the transformation T takes a two-dimensional vector v in R^2 and applies the matrix A to it.
The dimension of R^2 is 2, indicating that the vector space R^2 consists of all ordered pairs (x, y) where x and y are real numbers. In this case, the linear transformation T maps a vector in R^2 to another vector in R^2, so both the input and output dimensions are 2.
The dimension of R^n refers to the number of components or variables in a vector in R^n. For example, R^2 consists of vectors with two components, while R^3 consists of vectors with three components. In this case, the dimension of R^2 is 2 because each vector in R^2 has two components.
To summarize, the given linear transformation T: R^2 → R^2, with the matrix A = [[-2, -2], [1, 2]], maps a two-dimensional vector space onto itself. The dimensions of both R^2 and R^2 are 2, representing the number of components in the vectors of each space.
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