The perimeter of the base of a regular quadrilateral prism is 32 cm. The height of the prism is 2 times greater than the length of the base edge. Find the sum of all edges of the prism.

Answers

Answer 1

A regular quadrilateral prism has 12 edges. It is given perimeter of the base 32 cm. Length of each edge of base will be 32÷4=8 cm. The 4 edges at the top will also have the same number of edges that is 4 with measure 8cm each.

Given: The height of the prism is 2 times greater than the length of the base edge.Height of prism = 2(8)= 16cm. Number of edges with measure 16 cm is 4.

Sum of all the 12 edges= 8+8+8+8+16+16+16+16+8+8+8+8=128 cm.

Related Questions

hey can you please help me posted picture of question

Answers

We can determine the correct graph by finding its roots

x² - 4x - 12 = 0

x² - 6x + 2x - 12 = 0

x(x-6) +2(x-6) = 0

(x+2)(x-6) = 0

This means the roots of the function are x=-2, and x=6 and the graph will cross x axis at these two points. From the given graphs, the graph B seems to cross these points.

So the answer to this question is option B

how to multiply fractions

Answers

Hey there!

Question: How to multiply fractions?

Answer: well, in order to multiply fractions, you need to simply the particular fraction with the lowest terms (if they have any of course), then we multiply our numerators from each other so we can get a brand new numerator. (you do the same thing with denominators.

Example:

[tex] \frac{6}{8} ( \frac{6}{7} ) \\ \\ \frac{6(6)}{8(7)} \\ \\ 6(6) =36 \\ \\ 8(7) = 56 \\ \\ \\ Answer: \frac{36}{54}[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Hello There!

To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.

Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.

Finally, you want to find the greatest common factor but only if the fraction can be simplified.

That Is How To Multiply Fractions

5 ln ( x + 8 ) solve the equation for x

Answers

You have not given an equation.

If we make it an equation, then we can solve for x.
a = 5*ln(x +8)
a/5 = ln(x +8) . . . . . . . divide by 5
e^(a/5) = x +8 . . . . . . take the antilog
e^(a/5) -8 = x . . . . . . . subtract 8

If your expression is equal to "a", then x is ...
x = e^(a/5) -8

The number n of aluminum cans used each year is directly proportional to the number of people using the cans. if 250 people use 60,000 cans in one year, how many cans are used each year in dallas, which has a population of 1,008,000.

Answers

The answer is: " 241,920,000 cans " .
________________________________________________________

Explanation:
_______________________________________________________

(60,000) / (250) = "n" / (1,008,000) ;

Solve for "n" ; {number of cans used each year in Dallas} ;

(250) n = (60,000)(1,008,000) ;

Divide each side of the equation by "250" ;
to isolate "n" on one side of the equation; & to solve for "n" ;

→ { (250) n} / 250 = [ (60,000)(1,008,000) ] / 250 ;

to get:

→ n = (60,480,000,000) / (250) ;

→ n = 241,920,000
________________________________________________________
The answer is: " 241,920,000 cans " .
________________________________________________________

How do I find the hypotenuse of a triangle when given 90 degrees and one side length?

Answers

You need one more fact either an angle or a side in order to be able to answer. I take it you have neither. But there must be something more you can tell us from the question. List the question exactly as it is asked with a diagram if necessary. I'll follow and use either comments or I'll edit.

The direct answer to your question is that you can't.

a dump truck weighs 11.25 tons. a conveyor belt pours sand into the truck at a constant rate of 1/4 ton per minute. the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sand is in each dump truck when the trucks are the same weight?

Answers

We know these variables:

W1B = Weight of the truck 1 before starting the filling.
W1A = Weight of the truck 1 when filled.
R1F = Rate of change (Truck 1 being filled)

W2B = Weight of the truck 2 before starting the filling.
W2A = Weight of the truck 2 when filled.
R2F = Rate of change (Truck 2 being filled)

Given that a conveyor belt pours sand into the truck and stops when filled, then the amount of sand, when the truck is filled to capacity, is:

[tex]S = W_{1B} - W_{1A} = 18-11.25 = 6.75Tons[/tex]

Let's analyze Truck 1:

Given that the rate of change is:

[tex] \frac{1}{4} ton/min[/tex]

This means that in 1min the amount of sound poured is 1/4Ton, then the time elapsed when filled using rule of three is:

[tex]t = \frac{6.75}{ \frac{1}{4} } = 27min[/tex]

A similar analysis happens with Truck 2:

Given that the rate of change is:

[tex] \frac{1}{8} ton/min[/tex]

Then:

[tex]t = \frac{6.75}{ \frac{1}{8}} = 54min[/tex]

Now we can find two straight lines:

Truck 1:

[tex]\left \{ {{t=0min} \atop {S=0Ton}} \right. [/tex]

[tex] \left \{ {{t=27min} \atop {S=6,75Ton} \right[/tex]

[tex]S-S_{0} = m(t-t_{0})[/tex]

[tex]S-0 = \frac{6.75-0}{27-0} (t-0)[/tex]

∴ [tex]S = 0.25t[/tex]

Truck 2:

[tex] \left \{ {{t=0min} \atop {S=6.75Ton}} \right[/tex]

[tex] \left \{ {{t=54min} \atop {S=0Ton}} \right[/tex]

[tex]S-S_{0} = m(t-t_{0})[/tex]

[tex]S-6.75 = \frac{6.75-0}{0-54} (t-0)[/tex]

∴ [tex]S = -0.125t+6.75[/tex]

The trucks are the same weight when they have the same amount of sand, so solving for t:

[tex]0.25t = -0.125t+6.75[/tex]
[tex]0.375t = 6.75[/tex]
[tex]t = 18min[/tex]

Finally, the amount of sand in each truck:

[tex]S = 0.25(18) = 4.5Ton [/tex]

Final answer:

To find out how much sand is in each dump truck when they are the same weight, we can set up an equation based on the given information. Let's assume that the amount of sand in the first truck is x tons. We can then find the value of t that makes the weight of both trucks the same and substitute it into the equation to find x.

Explanation:

To find out how much sand is in each dump truck when they are the same weight, we can set up an equation based on the given information.

Let's assume that the amount of sand in the first truck is x tons. Since the conveyor belt pours sand into the truck at a constant rate of 1/4 ton per minute, the weight of the sand will increase by (1/4) * t tons, where t is the time in minutes.

Similarly, the second truck is being emptied at a rate of 1/8 ton per minute. So, the weight of sand in the second truck will decrease by (1/8) * t tons.

We know that the dump truck weighs 11.25 tons initially and 18 tons when filled. Therefore, we can set up the equation:

11.25 + (1/4) * t - (1/8) * t = 18 - x

Simplifying the equation:

(1/4) * t - (1/8) * t = 18 - 11.25 - x

(1/8) * t = 6.75 - x

t = 6.75 * 8 - 8x

Now, we need to find the value of t that makes the weight of both trucks the same. Let's substitute that value into the equation to find x.

hello can you please help me posted picture of question

Answers

The answer is Letter C - 1/2,775

The probability of choosing one of them is 2 out of 75 while the probability of choosing the other one is 1 out of 74. 74 band members, not counting the other person (you or your bother).

Computation:
P = 2 / 75 * 1 / 74
= 0.0266... * 0.01351...
= 1 / 2,775
You can also multiply 75 with 74 to get a total of 5,550 then divide it by 2 students to be selected to get 2,775. Meaning one out of 2,775 possibilities.

the price of a video game was reduced from $60 to $45.by what percentage was the price of video Gamers reduced

Answers

So, we need to see what multiplied by 60 equals 45.

Equation wise:

60x = 45

Divide both sides by 60:

x = 45 / 60

0.75

But, we need to find the percent reduced,
so it will be:

1 - 0.75
0.25
25%

Hope this helps!

25% would be the answer

The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Round to the nearest hundredth.
radius: 4mm
cylinder length: 7mm

Answers

we know that
[volume of the composite figure]=volume of cylinder + volume hemisphere

volume cylinder=pi*r²*h
r=4 mm
h=7 mm
volume cylinder=pi*4²*7----> 351.68 mm³

volume of hemisphere=(4/6)*pi*r³
r=4 mm
volume of hemisphere=(4/6)*pi*4³----> 133.97 mm³

[volume of the composite figure]=351.68+133.97----> 485.65 mm³

In how many ways can 6 people be selected from 7 men and 8 women if the selection must have a majority of women?

Answers

Number of men = 7
Number of women = 8
Number of people to be selected = 6
Condition: Women must be majority

Options: 6 women, 0 men; 5 women, 1 man; 4 women, 2 men

Number of ways = [(8C6)*(7C0)]+[(8C5)*(7C1)]+[(8C4)*(7C2)] = 28+392+1470 = 1890 ways

please show all possible solution by graphing a linear inequality

Answers

We have the following variables:
x = the number of adult tickets
y = the number of children's tickets
We write the inequality:
8x + 6y <= 172
The solution is the set of points that belong to the region shaded in the graph.
Answer:
8x + 6y <= 172
see attached image.

In order to answer your question, first we need to discover the following variables:
x = the number of adult tickets
y = the number of children's tickets

Then write the inequality:
8x + 6y <= 172
Answer:
8x + 6y <= 172 so the solutions of this equation are those who are in the shaded part of the graph.

solve the system using the substituion method
-4x+y=8
x-3y=9

Answers

Hi there!

x - 3y = 9
x = 9 + 3y

-4x + y = 8
-4(9+3y) + y = 8
-36 - 12y + y = 8
-36 - 11y = 8
-11y = 44
-y = 4
y = -4

x - 3y = 9
x - 3(-4) = 9
x + 12 = 9
x = 21

So, your answers are y = -4 and x = 21.

Hope this helps!

Identify the random variable as discrete or continuous: number of passengers in a car that enters a uh parking garage.

Answers

There can only be integer number of passengers. We cannot have 1.372 passengers in a car, so that would be discrete random variable.

Of all rectangles with area 9 which one has the minimum perimeter

Answers

A 3x3 rectangle would be the smallest it could get

stuffed animals each weigh 1/4 pound are on a scale. the scale shows 1 1/2 pounds how many stuffend animals are on the scale

Answers

First, let's turn it into decimal form:
0.25 and 1.5
To figure this out, we divide:
1.5/0.25
6
There are 6 stuffed animals on the scale.

Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

Josiah has a piece of wood that measures 10 1 / 8 feet he wants to make 5 shelves if each shelf is 1 3/4 fuel long does he have enough to make 5 shelves explain

Answers

To answer, I'm assuming "fuel long" means "feet long"
To find the amount of feet to make 5 shelves, we must multiply the amount to make one shelf by 5
1.75 * 5 = 8.75
(1.75 is the decimal form for one shelf)
Because 8.75 is less than 10, he has enough to make 5 shelves

Randy buys a pair of shoes that were originally priced at $147. He receives a 35% discount and pays 8.5% sales tax. How much does Randy pay? (Work shown)

Answers

Begin by subtracting 35% from 100%, giving 65% which is equivalent to 0.65
Then multiply
147 * 0.67 = 98.49
Now for a sales tax you would want to multiply by 108.5% (or 1.085) as you are paying the previous price and them some
98.49 * 1.085 = 106.86165
You can round to the second decimal place since you can't have a monetary value less than a penny
your answer would be $106.86

Answer: $103.67

Step-by-step explanation:

Based on the given conditions, formulate: 147 x (8.5% + 1) x (1 - 35%)

Calculate the sum or difference: 147 x 1.085 x (1 - 0.35)

Calculate the sum or difference: 147 x 1.085 x 0.65

Calculate the product or quotient: 159.495 x 0.65

Calculate the product or quotient: 103.67175

Round: 103.67

Answer: $103.67

$1,000 is invested at a rate of 3.25%, compounded annually. Identify the compound interest function that models the situation. Then find the balance after 8 years.

Answers

The compound interest formula is given by:
A=P(1+r)^n
P=principle
r=rate
n=time

But:
P=$1000, r=3.25%, n=time
thus the function representing this will be:
A=1000(1+3.25/100)^n
A=1000(1.0325)^n
Thus the amount after 8 years will be:
A=1000(1.0325)^8
A=1,291.58
ANSWER: 1,291.58

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum. ∞ 4 n(n + 2) n = 1

Answers

Nothing more can be done to this equation as far as I know

∞ 4n(n +2)n = 1

What is the 95% confidence interval for the mean life expectancy in the entire population of siberian tigers? (use the t-test to answer the question)?

Answers

The 95% confiednce interval is 5-3.

Marcus is selling lemonade in peanuts each cup of lemonade cost $0.75 in each bag of peanuts cost $0.35 on Saturday market so 5 more cups of lemonade then bags of peanuts here in $7.05 how many cups of lemonade did Marcus sell on Saturday

Answers

Let L represent the number of cups of lemonade that Marcus sold. Then his revenue can be described by ...
0.75L + 0.35(L -5) = 7.05
1.10L -1.75 = 7.05 . . . . . . . . . . eliminate parentheses
1.10L = 8.80 . . . . . . . . . . . . . . .add 1.75
L = 8 . . . . . . . . . . . . . . . . . . . . .divide by 1.10

Marcus sold 8 cups of lemonade on Saturday.

what is the answer for this math question

Answers

1/10÷2/3=KCF (keep,change,flip)
1/10×3/2=3/20 cups
0.15=15%=3/20 as decimal*percent

what is the value of the expression 8.5 - 10.2 + -7.4

Answers

First, subtract 10.2 from 8.5
8.5 - 10.2 = -1.7
Next, add -7.4 to -1.7
-7.4 (+) - 1.7 = -9.1
Your final answer is -9.1

Answer: −9.1

Step-by-step explanation:

8.5−10.2−7.4

=−1.7−7.4

=−9.1

PLEASE MARK BRAINLIEST

The half-life of cobalt-60 is 5.20 yr. how many milligrams of a 2.000-mg sample remains after 6.55 years?

Answers

Answer:

0.835 mg of a 2.000-mg sample remains after 6.55 years.

Step-by-step explanation:

We are given that The half-life of cobalt-60 is 5.20 yr.

Formula of half life : [tex]N(t) = N(0)e^{\frac{-0.693t}{t\frac{1}{2}}}[/tex]

Where N(0) = Initial amount

N(t) = Quantity remaining after time

t = time

[tex]\frac{t}{2} =\text{half life}[/tex]

So, N(0) = Initial amount = 2 mg

t = time = 6.55 years

[tex]\frac{t}{2} =\text{half life} = 5.20 yr [/tex]

Substitute the values in the formula

Therefore,

[tex]N(t) = 2 e^{\frac{-0.693 \times 6.55}{5.20}}[/tex]

[tex]N(t) =0.835[/tex]

Hence 0.835 mg of a 2.000-mg sample remains after 6.55 years.

find the are of each circle round nearest tenth use 3.14 11ft

Answers

The area is 379.94 ft²

A straight line has the equation 2y-8x=5x-12. If point C, (4, n) lies on this straight line, find n.

Answers

we have that
2y-8x=5x-12----> 2y=13x-12

we know that
If point C, (4, n) lies on this straight line
so
in the straight line
for x=4
the value of y must be n
2y=13x-12-----> 2y=13*4-12----> 2y=52-12----> 2y=40----> y=20

the value of n must be 20

the answer is
n is 20

please help with this word problem

Answers

The Pythagorean theorem is useful for finding the hypotenuse of a right triangle when you know the side lengths.
(corner to top)² = (113 m)² +(188 m)²
(corner to top)² = 48,113 m²
Then, taking the square root, we find ...
(corner to top) = √(48,113 m²)
(corner to top) ≈ 219 m

The distance from the corner of the base to the top of the pyramid was about ...
219 m

a cone with radius 2 feet and height 8 feet is shown.

Answers

The volume of the cone is approximately 33.51 cubic feet when rounded to the nearest hundredth

Use the formula for the volume of a cone, which is:

[tex]V = \frac{1}{3} \pi r^2 h[/tex]

Where:

[tex]V[/tex] is the volume of the cone,[tex]r[/tex] is the radius of the base of the cone,[tex]h[/tex] is the height of the cone.

Given:

Radius [tex]r = 2\;\text{ft}[/tex]Height [tex]h = 8\;\text{ft}[/tex]

Substitute the given values into the volume formula:

[tex]V = \frac{1}{3} \pi (2)^2 (8)[/tex]

Calculate the radius squared:

[tex]2^2 = 4[/tex]

Multiply the squared radius by the height and [tex]\pi[/tex]:

[tex]4 \times 8 \times \pi = 32\pi[/tex]

Divide by 3 to get the volume:

[tex]V = \frac{32\pi}{3} \approx \frac{32 \times 3.14159}{3} \approx 33.51\;\text{cubic feet}[/tex]

Complete question

A cone with a radius of 2ft and height 8ft is shown. Find the volume of the cone in cubic feet. Round your answer to the nearest hundredth

QF Q3c.) Find the following function

Answers

g(0) = 5×0² -3 = -3

f(-3) = 4(-3) -3 = -15

(f◦g)(0) = f(g(0)) = -15

What are the next three terms in the sequence? -6,5,16,27, ...

A.38, 49, 60
B.37, 47, 57
C.36, 45, 54
D.36, 46, 56

Answers

The sequence is +11 for every number, so it would be A

The next three terms of the given sequence are 38, 49, and 60. The correct option is A.38, 49, 60

Linear sequence

From the question, we are to determine the next three terms in the given sequence

The given sequence is

-6,5,16,27, ...

From the given sequence, we can observe that the common difference of the sequence is 11

That is,

5 - -6 = 5 + 6 = 11

16 - 5 = 11

27 - 16 = 11

Thus, the next term after 27 will be

27 + 11 = 38

The next one will be

38 + 11 = 49

The next one will be

49 + 11 = 60

Hence, the next three terms of the given sequence are 38, 49, and 60. The correct option is A.38, 49, 60

Learn more on Linear sequence here: https://brainly.com/question/24608344

#SPJ2

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Imagine that you are a farmer planning for future growing seasons. Which of these examples shows how geography could be used to help you plan for your future? A. Geographers can provide information about ancient religious practices. B. Geographers can study weather patterns and climate changes. C. Cartographers can provide maps of human migrations throughout history. D. Geographers can help explain the extinction of the ancient woolly mammoth. An oratorio is often based on a/an _______ story. A. biblical B. Roman C. Greek D. Italian Mark runs 3/4 of a mile each day for 5 days. What is the total distance that Mark has run after 5 days? A.3 3/4 B.4 1/4 C.5 3/4 D.6 2/3 Question 1(Multiple Choice Worth 4 points)Which of the following is an example of an endothermic process? Condensing Freezing Boiling Solidifying As opposed to pure science, which is concerned mainly with formulating and testing new hypotheses and theories, this type of science is more concerned with practical uses for scientific discoveries. A doctor is trying to diagnose a patient with short stature the frequency of the musical note E3 is about 164.81 Hz. what is the frequency of the note a perfect fifth above E3. What percentage of the offspring would be expected to have the same phenotype as the parents ?? Simplify the rational expression . x^2+9x+20/x+7The quotient is , and the remainder is . Use the euclidean algorithm to finda.gcd(12, 18).b.gcd(111, 201).c.gcd(1001, 1331).d.gcd(12345, 54321).e.gcd(1000, 5040). f ) gcd(9888, 6060). The products of the decomposition can diffuse out of the lysosome and into the ____________ or be removed from the cell via the process called ____________ . What is the difference between advertising and propaganda? Describe how to find the atomic number for the element oxygen The dodecahedron can be constructed from the repetitive folding of __________. Using distributive law find the square of 101 and 72 Before the kiowa domesticated the horse, they used ____ as pack animals. Choose the best paraphrase for the following lines from The Cask of Amontillado." "In an instant he had reached the extremity of the niche, and finding his progress arrested by the rock, stood stupidly bewilderedA. he thought he should sit down but decided to stand up until he reached the endB. he felt silly when he reached the end of the tunnel and did not know which direction to turn nextC. when he reached the far end and realized there was a rock wall blocking his path, he became confusedD. he poured another glass of wine and soon realized he had drank too much already Use context clues for definitions for the following.skillfull cultural allusions A.methodsB. dreamsC. referencesD. qualities How much time must elapse for the activity of a block of cheese containing 131i to drop to 1.0% of its initial value? PLEASE HELP !Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray? 2 cm 8 cm 25 cm 101 cm