What is the surface area of the triangular prism?
What is the volume of the triangular prism?

PLEASE HELP

What Is The Surface Area Of The Triangular Prism?What Is The Volume Of The Triangular Prism?PLEASE HELP

Answers

Answer 1

Surface Area:

A triangular prism is made up of 3 rectangles and 2 triangles.


Area of a rectangle = base x height

Area of a triangle = 1/2 x base x height

Rectangle: 5.6 x 2.7 = 15.12

All 3 rectangles: 15.12 x 3 = 45.36

Triangle: 1/2 x 2.7 x 2.3 = 3.105

Both triangles: 3.105 x 2 = 6.21

Surface Area: 45.36 + 6.21 = 51.57 mm^2

Volume:

Volume of a triangular prism = base area x height

Triangle area = 3.105

Height = 5.6

Volume: 3.105 x 5.6 = 17.88mm^3

Hope this helps!


Related Questions

A large container holds 7 gallons of water. It begins leaking at a
constant rate. After 8 minutes, the container has 5 gallons of
water left.

At what rate is the water leaking and After how many minutes will the container be empty?

Answers

Answer:

The container will take 25 minutes to go from full to empty.

Step-by-step explanation:

In 15 minutes, the container has lost 3 gallons of water (

5

2

=

3

).

Since the leak is at a constant rate, we can determine that every five minutes the container loses one gallon.

So for the container to lose the full 5 gallons will take 25 minutes (

5

×

5

=

25

What is the volume of a sphere with a radius of 2.5 units?

Answers

Answer: A sphere (from Greek σφαῖρα—sphaira, "globe, ball") is a geometrical object that is a three-dimensional analog to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the center of the sphere, and r is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians.

Step-by-step explanation: The formula used to calculate the sphere radius is: r = ∛((3/4) · V / π) Symbols. r = Sphere radius; V = Sphere volume; π = Pi = 3.14159… The volume of Sphere. Enter the volume contained within a sphere. The radius of Sphere. This is the radius of a sphere that corresponds to the specified volume.

32000 divided by 14 needs to be an whole number.

Answers

Answer:2,286:L

Step-by-step explanation: you just round .

The 32000 divided by decimal 14 does not yield a whole number.

To determine if 32000 divided by 14 results in a whole number, to check if 14 is a factor of 32000. If it is, then the division will yield a whole number.

Let's divide 32000 by 14:

32000 ÷ 14 = 2285.7142857142857...

The division does not result in a whole number. The result has decimal places, indicating that 14 is not a factor of 32000.

To know more about decimal here

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[tex] \sf \large \: If \: y = Sin x \: * Cos \: 2x \: Find \frac{dy}{dx} [/tex]








Thanku!​

Answers

Answer:

cos (x) cos (2x) - 2sin(x) sin(2x)

Solution:

(See the solution in the photo)

Answer:

[tex]\sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]

explanation:

[tex]\sf y = sin(x) * cos(2x)[/tex]

[tex]\rightarrow \sf \frac{d}{dx}\left(sin\left(x\right)\ * \:\:cos\left(2x\right)\right)[/tex]

[tex]\sf \bold {Apply\:the\:Product\:Rule}:\quad \left(f\cdot g\right)'=f\:'\cdot g+f\cdot g'[/tex]

[tex]\rightarrow \sf \frac{d}{dx}\left(\sin \left(x\right)\right)\cos \left(2x\right)+\frac{d}{dx}\left(\cos \left(2x\right)\right)\sin \left(x\right)[/tex]

[tex]\sf \bold{ Apply \ differentiation \ rule \ \ \ : } \ \ \ sin(x) = cos(x) \ \ and \ \ cos(x) = -sin(x)[/tex]

[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)+\left(-\sin \left(2x\right)\ * \:2\right)\sin \left(x\right)[/tex]

[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)\left-2\sin \left(2x\right)\sin \left(x\right)[/tex]

[tex]\sf \bold {use \ the \ formulae \ : \ cos(2x) = 2cos^2(x) - 1} \ {and} \ \ \sf \bold{sin(x) = 2 sin x cos x}[/tex]

[tex]\rightarrow \sf cos(x) (2cos^2 (x) -1) -2(2sin(x)cos(x)sin(x))[/tex]

[tex]\rightarrow \sf 2cos^3 (x) - cos(x) - 4sin^2(x) cos(x)[/tex]

[tex]\rightarrow \sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]

Four people each deliver food to people’s homes. Curtis charges a flat flee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles. How much does Curtis charge to deliver the food?
Please show your work

Answers

The equation used is 2.5+0.2x=y
So, if x=6, then its 2.5+0.2(6)=2.5+1.2=3.70, therefore the final answer is $3.70

Answer:

$3.70

Step-by-step explanation:

0.2 x 6 = 1.2

1.2 + 2.5 = 3.7

Please help me ASAP!!!!!

Answers

The second, fourth and fifth

Answer:

Since

x=−5 is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step-by-step explanation:

Simplify -|-5 + 2|.
7
3
-7
-3

Answers

Answer:

-3

Step-by-step explanation:

-|-5+2|

= -|-3|

= - 3

Hope it helps

Answer:

-3

Step-by-step explanation:

-|-5+2|

-|-3| absolute value of -3 is 3

-3

A guy wire supports a cell-phone tower. The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower. What is the length of the guy wire, rounded to the nearest foot? 20 ft 28 ft 49 ft 59 ft A right triangle. The base is labeled 34 feet. The angle made between the base and the hypotenuse is labeled 55 degrees. The angle made between the base and the perpendicular is marked as a right angle.

Answers

The length of the guy wire (rounded to the nearest foot) is 20 ft. Then the correct option is A.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A guy wire supports a cell phone tower.

The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower.

Base = 34 ft.

The length of the wire will be given as

[tex]\rm Wire \ length = 34 * cos\ 55^o\\\\Wire \ length = 19.5 \approx 20 \ ft[/tex]

The length of the wire is 20 ft. Then the correct option is A.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

is 59ft

Step-by-step explanation:

just took the test

[tex]\sqrt{54y^{11}z^{5} }[/tex]

Answers

What, do you want that thing to be answered? There is a app that does your math for you in a few seconds i hope ya know. I dont think anyone here could figure that out either.

Please Help Its A Math Problem!! A baseball player hits a baseball 4 feet above the ground with an initial velocity of 80 feet per second.

Write an equation for this situation?

Question options:

h(t)=−16t2+80t+4

h(t)=−16t2+4t+80

h(t)=−16t2+84t

h(t)=−16t2+84

Answers

Answer: h(t)=[tex]16x^{2} \\\\[/tex]+80t+4

Step-by-step explanation:

80 if feet per second so it's 80*seconds where seconds equals t

this gets you 80*t or 80t.

You need to add 4 because that's the initial height to start with so 16x^2+80t+4

Answer:

The answer is A

Step-by-step explanation:

Anita needs to build a house for a school project. The base of the house is a rectangle where the length of a rectangle is 8 more than the width. Its area is 240 ft sq

Answers

L = lengh

W = width

french reasoning ( hello from France ) !

The base of the house is a rectangle where the length of a rectangle is 8 more than the width.

=> L = W + 8

and

Its area is 240 ft sq

W x L = 240

L = W + 8

W x L = 240

=> W x (W+8) = 240

W² + 8W - 240 = 0

Δ = 8² - 4*1*(-240) = 32²

W' = (-8 + 32) / 2 = 12 ft

W'' = (-8 - 32) / 2 = impossible

at the end

W the width = 12 ft

and then the lengh = 12 + 8 = 20

area = 12 x 20 = 240 ft²

The bumper car ride at the state fair has 2 red cars, 3 green cars, and 3 blue cars. Janet is first in line for the ride and is assigned a car at random. Sarah is next in line and is randomly assigned a car. What is the probability that both Janet and Sarah will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
96.4%
25%
6.3%
3.6%

Answers

The probability (in percentage form) is 3.6%, so the correct option is the last one.

How to find the probability?

First, Janet is assigned to a car. We want to find the probability that it is a red car. All the cars have the same probability of being assigned, then the probability of getting a red car is equal to the quotient between the number of red cars and the total number of cars:

p = 2/(8) = 1/4

Now there is 1 red car left and 7 cars in total left.

Sarah is next on line, the probability that she gets a red car will be:

q = 1/7

The joint probability (the probability of both of these events happening) is given by the product of the two individual probabilities, so we get:

P = (1/4)*(1/7) = 0.036

If we multiply this by 100%, we get:

P = 100%*0.036 = 3.6%

So the correct option is the last one.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Solve the inequality and SHOW ALL WORK Plz Help Now Due In 15 minutes

−(1+5x)−6(−1+5x)≤−65

Answers

[tex] - 1 - 5x + 6 - 30x \leqslant - 65[/tex]

[tex] - 35x + 5 \leqslant - 65[/tex]

Factoring -5

[tex] - 5(7x - 1) \leqslant - 65[/tex]

Divided sides by -5

##############################

Point :

If the sides of an inequality are multiplied by or divided by a negative number, the direction of the inequality changes and returns.

##############################

[tex] \frac{ - 5}{ - 5}(7x - 1) \geqslant \frac{ - 65}{ - 5} \\ [/tex]

[tex]7x - 1 \geqslant 13[/tex]

Plus sides 1

[tex]7x - 1 + 1 \geqslant 13 + 1[/tex]

[tex]7x \geqslant 14[/tex]

Divided sides by 7

[tex] \frac{7}{7}x \geqslant \frac{14}{7} \\ [/tex]

[tex]x \geqslant 2[/tex]

Done ♥️♥️♥️♥️♥️

The number of siblings each student at a softball game has is recorded. The graph below shows the probability distribution of having any number of siblings, X, for a randomly selected student. Which number of siblings is least likely?.

Answers

The number 4 siblings are least likely to be selected

What is the number of a sibling to be selected?

Probability is the likelihood of an event occurring or not. Probability value ranges from  impossibility(0) to certainty(1).

The lower the value, the less likely the event is bound to occur.

From the probability distribution table, the probability of having 4 siblings at the game is 0.

This is the lowest out of all the given values in the probability distribution table. Therefore, it is the least likely event.

Thus the number 4 siblings are least likely to be selected

To know more about probability follow

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The graph shows information about the costs of taxi journeys in France.

For each journey, there is a fixed charge plus a charge for the distance travelled.
a) How much is the fixed charge?

Jean makes two journeys by taxi.
One journey is 6km more than the other journey.
b) Work out the difference between the costs of these two journeys. ​

Answers

The fixed charge is about 5 pound. For extra 6 km, extra cost is about 9 pound

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value of y.

From the graph:

The fixed charge is about 5 pound.

Using the point (0, 5) and (20, 35)

Charge per mile = (35 - 5) / (20 - 0) = 1.5 pound per mile

For extra 6 km, extra cost = 1.5 * 6 km = 9 pound

Find out more on linear equation at: https://brainly.com/question/2972832

Which shows one way to determine the factors of 12x3 – 2x2 18x – 3 by grouping?.

Answers

The equation which shows the one way to determine the factors of provided equation by grouping is,

[tex]2x^2(6x-1)+3(6x-1)[/tex]

What is a factor of polynomial?

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The provided polynomial equation is,

[tex]12x^3 - 2x^2 +18x - 3[/tex]

To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.

[tex]12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)[/tex]

Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,

[tex]2x^2(6x-1)+3(6x-1)[/tex]

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

im bad at angles pls help lol

Answers

Question 1

n<DEH =

Exact form:

x = 29/2

Decimal form:

x = 14.5

Mixed number form:

x = 14 1/2

Total:

(12x+6) = 180

QUESTION 2

n<HEG =

Exact form:

x = 179/7

Decimal form:

x = 25.57142857

Mixed number form:

x = 25 4/7

Total:

(7x+1) = 180

QUESTION 3

n<GEF =

Exact form:

x = 91/3

Decimal form:

x = 30.3

Mixed number form:

x = 30 1/3

Total:

(6x-2) = 180

Hope it helps!!!Brainliest pls!!!

The revenue function for a bicycle shop is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=800−0.5x is the unit price. Find the maximum revenue.

Answers

Answer:

The maximum revenue is $320,000

Step-by-step explanation:

To find the maximum of a function f, the procedure is as follows:

Find the first derivative of f.Equate the derivative to 0. Solve the resulting equation to get the critical points.Try all the critical points in the original function and select the one that maximizes it.

The revenue function for a bicycle shop is

R(x)=xp(x), where p(x)=800-0.5x. Substituting:

[tex]R(x)=x(800-0.5x)=800x-0.5x^2[/tex]

Find the first derivative of R:

R'(x)=800-x

Equate to 0:

800-x=0

Solve:

x=800

There is only one critical point. Substitute it into the revenue function:

[tex]R(800)=800(800)-0.5(800)^2=320,000[/tex]

The maximum revenue is $320,000

Let c(t) be the number of customers in Starbucks t hours after 6:00am. Explain the meaning of the statement

Answers

the question states that t=hours after 6:00am, and c(t)=the amount of customers at “t” time. so this equation (c(9)=7) means that 9 hours after 6:00am there were 7 customers. which means at 3:00pm there were 7 customers. hope this helps!

If the slope of a line is 7/10, how much vertical change will be present for a
horizontal change of 63 ft?

Answers

If the slope of the line is 7 /10, the vertical change that will be present for a horizontal change of 63 ft is 44.1 ft

What is a slope?

The slope of a line is the measure of its steepness. Therefore,

slope = change in y(vertical) / change in x(horizontal)

slope = y₂ - y₁ / x₂ - x₁

slope = 7 / 10

Therefore,

7  / 10 = y / 63

cross multiply

441 = 10y

divide both sides by 10

y = 441 / 10

y = 44.1 ft

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13 The circumference of the circle and the perimeter of the rectangle are equal.
The circle has a diameter of 20 cm.
The rectangle has a length of 18 cm.
Not drawn accurately
x
20 cm
18 cm
Work out the width of the rectangle, marked x on the diagram.
cm.
Round your answer to 1 decimal place.

Help!!!

Answers

Answer:

Step-by-step explanation:

Note:

Circumference of a circle = [tex]\pi d[/tex]

Where d = diameter

We are given the diameter is 20cm, d = 20

Circumference of circle = [tex]\pi d[/tex] = 20 [tex]\pi[/tex]

Also, perimeter of a rectangle = 2 times length + 2 times width

We are told the length = 18 , width = x

Perimeter of rectangle = 2 times 18 + 2 times x

Perimeter of rectangle = 36 + 2x

The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:

So this means:

Since Circumference of circle = 20[tex]\pi[/tex]  ,

Perimeter of rectangle = 36 + 2x .

We can write:

Circumference of circle = perimeter of rectangle

20[tex]\pi[/tex]   = 36 + 2x

Subtract 36 from both sides

20[tex]\pi[/tex] - 36   = 2x

Divide both sides by 2 to solve for "x".

x = [tex]\frac{20\pi - 36 }{2} = ?[/tex]

Plug it into your calculator and then just round it to 1 decimal place.

can some one help me please

Answers

Answer:

Step-by-step explanation:

i think it is reflection in the line y=-1

Find the measure of angle c in the triangle below. Then find the length of segment BC

Answers

Answer:

Step-by-step explanation:

Solve the two-step equation and identify the steps.

1.4x + 6.1 = –7.9

1. The first step is to
on both sides.
2. The second step is to
on both sides.


The solution is x =
.

Answers

Answer:

x = -10

Step-by-step explanation:

1.4x = -7.9 -6.1

1.4x = -14

x = -14÷1.4

x= -10

Answer:

x = -10

Step-by-step explanation:

(;-;) I NEED HELP W THIS PLSSS HELP WILL MARK BRAINLIEST

Answers

Answer:
With respect to angle A, a is opposite, b is adjacent, c is the hypotenuse

With respect to angle B, b is opposite, a adjacent, and c is the hypotenuse.

Step-by-step explaination:

To find the opposite side of an angle of a right triangle - look at the side that is directly across from that angle.  For example, angle A shows that the side directly across from it is side a.


To find the adjacent side of an angle of a right triangle - look at the side that is right next to it and connected to the 90 degree angle.  For example, angle B shows that the side that is next to it and connected to the 90 degree angle is side b.

The hypotenuse will always be the longest side opposite the 90 degree angle.

when 8 is added to 1/3 of a number, the result is 23 find the number

Answers

Answer:

The number would be 5!

Step-by-step explanation:

23-8=15

15/3=5

Have a wonderful day!! :)

Answer:

8+x/3=23

Step-by-step explanation:

x/3=15

x=15x3=45

What is the answer for 1-n/5=12?

Answers

Answer:

n= -5

Step-by-step explanation:

1-n/5 = 12

cross 1 to the other side.

new equation :

-n/5 = 11

Multiple 5 on both sides

divide the negative sign on n on both sides

n = -55

Solve for x + 5 = 30

Answers

Answer:

25

Step-by-step explanation:

a2 - b2 - 2a + 1 plss give me answer fast

Answers

Answer:

( a − 1 + b )( a − 1 − b )

.

Answer:

(a−1+b)(a-1−b)

Step-by-step explanation:

Convert 2.19 liters to milliliters.

Enter your answer in the box.

Answers

Hey there!

1 litres = 1000 milliliters

To find the value we multiply litres × 1000

=> 2.19 × 1000

=> 2190

Therefore, 2.19 to milliliters is 2190 millilitres

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