The sum of all the edges of prism is 32 + 4√137 cm.
How to find the sum of all the edges of the prism?A regular quadrilateral prism has a rectangular base with all sides equal in length. In this case, the base edges (b) are given as 8 cm. The height (h) is given as 11 cm.
To find the sum of all the edges of the prism, we need to consider the edges of the base as well as the lateral edges.
The base of the prism has four equal edges with length b, so the sum of the base edges is 4b.
The lateral edges connect the corresponding vertices of the top and bottom bases. Since the prism is regular, all the lateral edges have the same length.
To find their length, we can use the Pythagorean theorem. In a right triangle formed by the height (h), half of the base edge (b/2), and the lateral edge, the lateral edge can be calculated as:
\(lateral edge = \sqrt{(h^2 + (b/2)^2)}\)
Substituting the given values, we have:
lateral edge = \(\sqrt {(11^2 + (8/2)^2)\) = √(121 + 16) = √137
Since there are four lateral edges in a regular quadrilateral prism, the sum of the lateral edges is 4 times the lateral edge length:
sum of lateral edges = 4 * lateral edge = 4 * √137
Finally, to find the sum of all the edges, we add the sum of the base edges and the sum of the lateral edges:
sum of all edges = sum of base edges + sum of lateral edges = 4b + 4√137
Substituting the given values, we have:
sum of all edges = 4(8) + 4√137 = 32 + 4√137
Therefore, the sum of all the edges of the regular quadrilateral prism is 32 + 4√137 cm.
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what do u need to know in order to find velocity
Answer:
you need to divide the distance by the time it takes to travel that same distance, then you add your direction to it.
Step-by-step explanation:
what is the unit rate of gallons used per minute
Given the passage, what determination can you make about the setting? How does the setting affect Jonathan’s behavior?
Answer: the area is affected by crime. He is protective of his money. Both right on edge
Step-by-step explanation:
Answer: a b
Step-by-step explanation:
What are the equivalent numbers?
Answer:
1st and 2nd
Step-by-step explanation:
I'm not so sure but I think it's the first and second one
80% of what number is 16
a. PART
b.TOTAL
c.PERCENT
d. WRITE AND SOLE THE PROPORTION
Answer:
:)
Step-by-step exp
16/.8 = 20
Answer:
20
Step-by-step explanation:
ask urself what 80/100 is to 16 call the number x find x2 - 1 to the 5th power?
help me with this plssss
divide this
Answer:
1 - y + y²
Step-by-step explanation:
1 + y³ is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²) , then
1 + y³
= (1 + y)(1² - 1(y) + y²) = (1 + y)(1 - y + y²)
Then
\(\frac{1+y^3}{1+y}\)
= \(\frac{(1+y)(1-y+y^2)}{1+y}\) ← cancel out the common factor (1 + y)
= 1 - y + y²
Find the slope of the line that passes through M(-6, 2) and N(-4, -2)
Answer:
y=-2x-14
Step-by-step explanation:
Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
Giving 50 points!!
Question: Determine whether the dilation from figure K to K’ is an enlargement or a reduction
Answer:
enlargement
Step-by-step explanation:
observe from the figure \(OK=x<x+5=7=OK'\)
since \(OK<OK'\), then the dilation is an enlargement.
Answer:
Step-by-step explanation:
defsfvbrfdv
△ABC is an isosceles triangle with legs AB and AC. △AYX is also an isosceles triangle with legs AY and AX. Triangle A Y X is shown. Line segment B C is drawn from side A Y to A X to form triangle A B C. The proof that △ABC ~ △AYX is shown. Statements Reasons 1. △ABC is isosceles with legs AB and AC; △AYX is also isosceles with legs AY and AX. 1. given 2. AB ≅ AC and AY ≅ AX 2. definition of isosceles triangle 3. AB = AC and AY = AX 3. definition of congruency 4. AY • AC = AX • AC 4. multiplication property of equality 5. AY • AC = AX • AB 5. substitution property of equality 6. 6. division property of equality 7. 7. division property of equality 8. ? 8. ? 9. △ABC ~ △AYX 9. SAS similarity theorem Which statement and reason are missing in the proof?
Explanation:
Here is our take on the proof shown in the problem statement. The missing statements and reasons are shown in bold.
Statements Reasons
1. △ABC is isosceles with legs AB and AC; △AYX is also isosceles with legs AY and AX. 1. given
2. AB ≅ AC and AY ≅ AX 2. definition of isosceles triangle
3. AB = AC and AY = AX 3. definition of congruency
4. AY • AC = AX • AC 4. multiplication property of equality
5. AY • AC = AX • AB 5. substitution property of equality
6. AY • AC/AX = AB 6. division property of equality
7. AC/AX = AB/AY 7. division property of equality
8. Corresponding sides are proportional 8. Definition of proportional
9. △ABC ~ △AYX 9. SAS similarity theorem
_____
The reason given in statements 6 and 7 suggest you need to divide something. For SAS similarity, you need to show corresponding sides are proportional. The missing steps are to get to the point where you can say that.
Answer:
I think its A. ∠A ≅ ∠A; reflexive property
Step-by-step explanation:
a satellite dish is the shape of a paraboloid. the dish is 30 inches wide, and 10 inches deep. how many inches should the receiver be located from the vertex for optimal reception
The receiver must be placed approximately 12.9095 inches from the vertex of the dish for optimal reception.
A satellite dish has the shape of a paraboloid, given that the dish is 30 inches wide, and 10 inches deep. We have to determine the distance in inches the receiver must be placed from the vertex of the dish for the optimal reception.The focus of the dish is located at a distance of 5 inches from the vertex.
We know that the vertex is at the center of the dish, so it has coordinates (0,0,0).If we consider that the paraboloid's equation is y =\(ax²\), we have to determine the coefficient "a".
The dish is 30 inches wide, so we have:
y =\(ax²\)
=> 15 = \(a(15)²\)
=> a = 1/15
Therefore, the equation of the dish is \(y = (1/15)x²\). The optimal distance of the receiver from the vertex is when the line that goes from the receiver to the focus makes a 90-degree angle with the dish. Thus, the length of this line must be equal to the distance between the vertex and the focus, which is 5 inches.
We can use the Pythagorean Theorem to determine the value of x, which is the distance that the receiver must be placed from the vertex:
\(x² + y² = 5²y = (1/15)x²x² + (1/15)x⁴ = 25\)
By solving this equation, we can determine that:
x = 12.9095 inches
Therefore, the receiver must be placed approximately 12.9095 inches from the vertex of the dish for optimal reception.
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the temperature in the morning was -12 degrees. The temperature fell 3 degrees every hour for 4 hours. What is the new temperature?
Answer:
I think it would be 0. I hope this helps!
HELPPP!
You must show work for credit.
Simplify the expression.
1) 3(6 + 5x)
A) −5 − 30x
B) 18 + 15x
C) 12x − 20
D) 20 + 15x 2)
Answer:
B
Step-by-step explanation:
3(6+5x)
3x6 is 18
3x5 is 15
18+15x
ApplyA typical television newscast has three cameras. The center cameradirectly faces the news anchor's desk. The other two cameras are both angled45° away from the center camera. Suppose each camera has a field of 60°.What is the total angle covered by the three cameras? Explain your reasoning.
The center camera and the two angled cameras cover a total of 60° + 60° + 60° = 180°.
The total angle covered by the three cameras is 180°. The center camera has a field of 60° and the other two cameras, which are angled 45° away from the center camera, each has a field of 60°.
Therefore, together, the center camera and the two angled cameras cover a total of 60° + 60° + 60° = 180°.
When two rays are united at a common point, an angle is created. The two rays are referred to as the arms of the angle, while the common point is referred to as the node or vertex. The symbol "°" stands for the angle. The Latin word "Angulus" is where the word "angle" originated.
Typically, an angle is measured with a protractor and expressed in degrees. Angles of 30°, 45°, 60°, 90°, and 180° are shown here. The many types of angles are determined by the angles' degrees values.
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PLEASEEE HELPPP!!!! URGENTTT!!! I WILL NAME BRAINLIEST!!!!
You have the system below, a and b are constants.
a. solve for x
b. solve for y
c. find the point of intersection
The Greenville youth football team bought new footballs for their practices. They bought 9 footballs for a total of $130.50. How much did each football cost?
Answer: 14.5
130.5 divided by 9 = 14.5
Answer:
Each football costs a total of $14.50
Step-by-step explanation:
Divide 130.5 and 9
h – 1 = 7.2
h=
Answer
Answer:
Step-by-step explanation:
h - 1 = 7.2
h = 8.2
Estimate the x values at which tangent lines are horizontal.
g(x)=x^4-3x^2+1
The estimated x values at which the tangent lines of g(x) = x4 - 3x2 + 1 are horizontal are x = 0 and x ≈ ±1.22.
To estimate the x values at which tangent lines are horizontal for the function g(x)= x4 - 3x2 + 1, we need to differentiate the function to x and equate the derivative to 0. This will give us the x values of the horizontal tangent lines of the function. We have:
To differentiate g(x)= x4 - 3x2 + 1 to x, we use the power rule of differentiation that states that if y = xⁿ then
dy/dx = nxⁿ⁻¹.
We get:
g′(x) = 4x³ - 6x
To find the x values at which the tangent line is horizontal, we set g′(x) = 0 and solve for x:
4x³ - 6x = 0
Factor out x from the equation above x(4x² - 6) = 0
Then, x = 0 or 4x² - 6 = 0
Solving for the second equation:
4x² - 6 = 0
⇒ 4x² = 6
⇒ x² = 6/4
⇒ x = ±√(6/4)
≈ ±1.22
Therefore, the estimated x values at which the tangent lines of g(x) = x4 - 3x2 + 1 are horizontal are x = 0 and x ≈ ±1.22.
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help in class ioejwrfahfu9vparwhgv
3/1 tama poyong unna nag answer
The park was muddy and the dogs’ paws got muddy while playing. Jen has wipes to clean the dogs’ paws. It takes one wipe to clean each paw. How many wipes will they need?
pls give me the correct answer
Answer:
A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.
Jen will need 4 wipes for each paw
the superintendent of a school district must decide whether to hire additional teachers. if she hires the teachers, the student-teacher ratio will drop by 2, and student performance will improve. under the assumption that student performance is measured by a test score, she estimated a regression model using the test score as the dependent variable, and the student-teacher ratio as the independent variable. the intercept and the coefficient are estimated to be 800 and -8, respectively. if she hires additional teachers to reduce the ratio by 2, what would be its predicted effect on the test score? a. the test score will decrease by 800 points. b. the test score will increase by 792 points. c. the test score will increase by 8 points. d. the test score will increase by 16 points. e. the test score will decrease by 8 points.
We are given a regression model: test score = 800 - 8(student-teacher ratio)
If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).
So, the new predicted test score is:
test score = 800 - 8(new ratio)
= 800 - 8(old ratio + (-2))
= 800 - 8(old ratio) - 8(-2)
= 800 - 8(old ratio) + 16
Therefore, the predicted effect on the test score is an increase of 16 points.
So, the answer is (d) the test score will increase by 16 points.
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find the quotient of 28x^4y/y^7 divided y^9/2x^5
Answer:
\(\frac{56x^{9} }{y^{15} }\)
Step-by-step explanation:
Given: \(\frac{28x^{4} y}{y^{7} }\) divided by \(\frac{y^{9} }{2x^{5} }\).
i.e \(\frac{28x^{4} y}{y^{7} }\) ÷ \(\frac{y^{9} }{2x^{5} }\)
= \(\frac{28x^{4} }{y^{6} }\) x \(\frac{2x^{5} }{y^{9} }\)
= \(\frac{56x^{9} }{y^{15} }\)
The quotient of the given two fractions in the question is thus \(\frac{56x^{9} }{y^{15} }\).
Simplify 2x(x - 6) using the Box Method on a sheet of paper.
Then, explain the process & steps you used to get the simplified expression in COMPLETE
sentences, using correct capitalization and punctuation. Make sure to include your answer at
the end.
Using the Box Method, we multiply each term in the first expression (2x) with each term in the second expression (x - 6) and then combine the resulting terms to obtain the simplified expression 2x^2 - 12x.
Draw a rectangular box and divide it into two sections: one for 2x and the other for (x - 6).
Write 2x on the top section of the box.
Write x - 6 on the bottom section of the box.
Multiply the corresponding terms in each section. In this case, multiply 2x with x and 2x with -6.
Write the results of the multiplications in the appropriate positions inside the box.
Combine like terms within the box. In this case, combine 2x^2 and -12x.
The simplified expression is the sum of the combined terms, so the final answer is 2x^2 - 12x.
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80 POINTS AND BRAINLIEST IF THIS IS ANSWERED (WITH STEPS PLS)
The total surface area of the prism is 204 cm²
what is a prism in math?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.
Given here: A prism with triangular base with three of its faces as rectangle and its bases triangles.
Thus total surface area is the sum of areas of all these 5 faces
TSA= Sum of the area of the two slanted rectangles + Sum of the two bases + the sum of the rectangle the prism is resting on in the figure
Now dimensions of the slanted rectangles are given by length =12 and breadth =5 and the dimensions of the last rectangle are length =12 and breadth = 6
∴ TSA= 2×12×5 +1/2 ×6×4 +12×6
= 120+12+72
=204 cm²
Hence, The total surface area of the prism is 204 cm²
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Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.
Answer:
15(2) + 15 (-5) . #45 drop
Step-by-step explanation:
EXTRA POINTS The amount of people diagnosed is 3,131,953 and the amount of deaths is 132,056 what is the percentage of people who die from the disease?
2.3%
divide the infected number by the deaths. Then move the decimal points to the left.
Answer:
2.3%
divide the infected number by the deaths. Then move the decimal points to the left.
Step-by-step explanation:
Albert bought 3 rolls of masking tape that cost the same amount of money and an extension cord that cost $5.50. Albert spent less than $10 altogether.Which inequality can be used to find the cost of each roll of masking tape?A.) 3m+5.50<10B.) 3m-5.50<10C.) 3m+5.50>10D.) 3m-5.50>10
Data:
m: cost of the masking tape
As the masking cost the same amount of money: 3m
Then, you add to the cost of the masking the 5.50, you get: 3m+5.50
The symbol to less than is <
You get:
\(3m+5.50<10\)can i get some help on this i am confused!!!
Answer:
st=pq su=rp and for the other ones angle q is 75 degrees so just add 59 and 75 then subtract it from 180 because that's how many degrees is in a triangle and angle s is 59
\(\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}\)
Both triangles are congruent, Hence Angles of both triangle will be equal,
We have got two angles,
LP = 59°, LT = 75°
let the third angle be x
The sum of all angles of a triangle is 180°
So,
59° + 75° + x = 180
x = 46°
a) ST = 8m
b) SU = 7m
c) mLR = 75°
d) mLQ = 46°
e) mLS = 59°
please help and fast!