Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm

Answers

Answer 1

Answer:

144

Step-by-step explanation:

8x6=48

48 divided by 2=24

24x2=48

4x10=40

8x4=32

4x6=24

add them all together so 48+40+32+24=144

Answer 2

The triangular prism is a 3-d shape, and the total surface area of the triangular prism is 144 cm²

How to determine the total surface area?

The surface area of a triangular prism is:

Area = bh + (b + s₁ + s₂) * l

The parameters in the triangular prism are:

Base length, b = 8cmBase height, h = 6cmOther sides of the base, s₁ = 10cm; s₂ = 6cmPrism height, l = 4cm

So, we have:

Area = 8 * 6 + (8 + 10 + 6) * 4

Evaluate the sum of product

Area = 144

Hence, the total surface area of the triangular prism is 144 cm²

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Related Questions

AYUDAAA porfavorrrr primera urna 6 bolas verdes y 3 rojas segunda urna 3 verdes, 3 blancas y 3 rojas tercera urna 6 verdes, 1 blanca y 2 rojas a) si sacan una bola de la primera urna que color es más probable de que se obtenga b) calculen las probabilidades de sacar una bola verde, una roja y una blanca de cada urna c) si quieren tomar una bola verde que urna elegirian d) supongan que sacan una bola verde de la tercera urna y no la regresan, lo que se conoce como extraccion sin reemplazo ¿que probabilidad tiene cada bola de salir en la siguiente extraccion?

Answers

We have the following information:

first urn: 6 green balls and 3 red ones

total: 6 + 3 = 9

second urn: 3 green, 3 white and 3 red

total: 3 + 3 + 3 = 9

third urn: 6 green, 1 white and 2 red

total: 6 + 1 + 2 = 9

a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.

b) probability of drawing a green, red and white ball.

first urn:

green = 6/9 = 66.66%

red = 3/9 = 33.33%

white = 0/9 = 0%

second urn:

green = 3/9 = 33.33%

red = 3/9 = 33.33%

white = 3/9 = 33.33%

third urn:

green = 6/9 = 66.66%

red = 2/9 = 22.22%

white = 1/9 = 11.11%

c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%

d) without a green ball, the third ballot box would look like this:

5 green balls, 2 red balls and 1 white ball, with a total of 8.

The probability of drawing would be:

green = 5/8 = 62.5%

red = 2/8 = 25%

white = 1/8 = 12.5%

Blake walked 7/8 Ora a mile in 1/5
of an hour. If Blake continued walking at the same rate, what is the distance he would travel in one hour?

Answers

Answer:

4.375 miles

Step-by-step explanation:

7/8/12=x/60

12x=60(7/8)

12x=52.5

x=4.375

Can someone help me? I had the notes in my notebook but I threw it away when it got full, not thinking that I was ever gonna need these notes again.. ;,)

Answers

1. The mistake is in the second line (didn't fully distribute)
2. The mistake is in the second line (didn't properly add 4p and 7p)

An 11 ft flag pole is mounted on top of a school building. If the top of the flagpole forms a 60° angle with the ground 50 ft from the base of the building, about how tall is the school building?

Answers

Answer:

39 feet

Step-by-step explanation:

plz give me brainliest >.<

Can you please help me with this question please and i will give you a Brainiest

Answers

Answer:

They all end in 0 or 5

Step-by-step explanation:

Answer:

They all end in 0 or 5.

Step-by-step explanation:

15, 20, 25, and 30 all end in either 0 or 5.

what is the solution to this expression[tex]\frac{4}{x^{2} \cdot t} \frac{x}{t^{2} }[/tex]

Answers

Answer:

4/xt 3 sqaured

Step-by-step explanation:

Wendy earned $14 per hour for x hours, plus a bonus of $50. Write an expression that represents how much Wendy earned. plz answer fast.

Answers

Answer:

W(x) = $50 + ($14/hr)x

Step-by-step explanation:

hope this helped

what is 4 raised to the third power​

Answers

Answer:

4³=64

Step-by-step explanation:

A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.

Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).

》 4×4×4=64

Factor the monomial for 27n^2o

Answers

It must’ve been a typo, but
The answer is
This equation isn’t factorable

Can someone explain this and help me with the answer?

Answers

Answer:

Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality

Step-by-step explanation:

First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.

Circle O is shown. T O, Q O, P O, K O, and J O are radii. The measure of arc Q T is 0.14 r, the measure of arcs Q P, P K, and K J are r. The length of O J is 4. There are exactly π radians in a semicircle. There are exactly π radians in a full circle. There are approximately radians in a full circle. 2π radians is equivalent to degrees.

Answers

Answer:

There are exactly 2 π radians in a full circle.

There are approximately 6.28  radians in a full circle.

2π radians is equivalent to  360  degrees.

Answer:

1 4 4

Step-by-step explanation:

Go to link for the question thx!!

Answers

Idk what link you are talking about

10. Susan went out and bought 2 packs of toilet paper and 4 containers of Clorox wipes for $46. She told her friend where she found them and her friend went out and bought 1 pack of toilet paper and 3 containers of Clorox wipes for $27. How much did a pack of Clorox wipes cost? *

Answers

Answer:

$9

Step-by-step explanation:

Let's make the price of toilet paper x, and the clorox wipes y.  We can then use the given information to create a system of equations.

Our equations are 2x+4y=36 (because 2 packs of toilet paper and 4 containers of Clorox wipes cost $46) and x+3y=27 (because 1 pack of toilet paper and 3 containers of Clorox wipes cost $27). Now, let's solve!

2x+4y=36 (1)

x+3y=27 (2)

2x+6y=54 (3)  (i just mutiplied (2) by 2 so that i could eliminate x)

2y=18 (3)-(1)

y= $9/pack

Please Find attached

Answers

Answer:

Using distance formula :

AB² = (5+1)² + (3-6)²

AB² = 36 + 9

AB² = 45

AB = 6.71 units

When Wyatt commutes to work, the amount of time it takes him to arrive is normally

distributed with a mean of 45 minutes and a standard deviation of 3 minutes. Using

the empirical rule, what percentage of his commrtes will be between 36 and 54

minutes?

Answers

Answer:

Step-by-step explanation:

Using the Empirical Rule, it is found that 99.7% of his commutes will be between 36 and 54 minutes.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of  the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering a mean of 45 minutes and a standard deviation of 3 minutes, we have that:

36 = 45- 3 x 3

54 = 45 + 3 x 3

Within 3 standard deviations of the mean, hence, 99.7% of his commutes will be between 36 and 54 minutes.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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Find the solution to x^2=64

Answers

Answer:

[tex] \boxed{x = 8} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} = 64 \\ \\ = > {x}^{ \cancel{2}} = {8}^{ \cancel{2}} \\ \\ = > x = 8[/tex]

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of spinning an odd number, flipping heads, then spinning a 3 is .

Answers

Image of spinner is attached.

Answer:

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Step-by-step explanation:

Given that the spinner contains 3 numbers: 1, 2, & 3.

A coin has 2 outcomes, a head & a tail.

Lets take,

P(A) = event of spining an odd number

P(B) = event of flipping heads

P(C) = event of spinning a 3

We now have:

P(A) = [tex] \frac{2}{3} [/tex]

P(B) = [tex] \frac{1}{2} [/tex]

P(C) = [tex] \frac{1}{3} [/tex]

They are all independent events

Probability of the compound event would be derived by multiplying all the events.

P= P(A) * P(B) * P(C)

[tex] = \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9} [/tex]

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Please help asap!!!!!!!!!!!!!!!!

Answers

Answer: ok what do you need help with

Step-by-step explanation:

you go shopping and your bill comes to $54 the sales tax added equals 7% what is the amount of sales tax added to your bill

Answers

Answer:

$3.78

Step-by-step explanation:

find 107%(100%=$54+7%=107%)

54*107/100= $57.78

find the amount of sale tax

57.78-54=$3.78

Which expression is equivalent to -3 1/8 minus 2 1/2

Answers

-25/8 minus 5/2
(You just turn them into improper fractions)

Answer:

-5 5/8

Step-by-step explanation:

A negative minus a positive is essentially a negative plus a negative! The two values will add on top of each other to create a larger negative number.

I'd recommend turning the mixed numbers into improper fractions: 25/8 and 5/2. Then, make sure their denominators are equal by multiplying 5/2 by a "big one" or 4/4. This should get you 20/8.

Now, solve for -25/8 - 20/8 to get -45/8. Turn that number into a mixed number, and you have your answer!

Dan and Stephen are playing basketball. The ratio of points scored by Dan to Stephen is 4 to 3. Which of the following could NOT be the total number of points scored between the two?

Answers

Where are the options?

Pedro is playing a game where he has to roll a fair number cube with faces labeled from 1 to 6. What is the probability that he will roll either a 2, 3, or a 4 on his next roll?

Answers

Answer:

50%

Step-by-step explanation:

Hope it helps

What is the order of the numbers form least to greatest?

Answers

Answer:

B < A < C < D

Step-by-step explanation:

We can easily order the numbers by using a shortcut. To do this, you just look at the exponents. The more negative the exponent, the lower the number is. The more positive the exponent is, the greater the number is.

Answer:

The answer is option 2.

Step-by-step explanation:

In a faster way to see this you can just look at the power :

A = -4

B = -6

C = 4

D = 5

B < A

A < C

C < D

So the order is B, A, C and D.

20+20+20+20+20+20+20+9893-2839283+93749-93+8366754439=???

Answers

Answer:

=8,364,018,845

Step-by-step explanation:

Mark me brainiiest.

Answer:

8364018845

Step-by-step explanation:

20+20+20+20+20+20+20 = 140

140+20893-2839283+93749-93+8366754439

Solve fraction 2/3x -1/2=1/6x-1/9

Answers

Answer:

Exact Form: x=7/9  Decimal Form: 0.7 (repeating)

Step-by-step explanation:

Hope this helps!! :)

What is the slope of the line y = 20x?

Answers

Answer:the slope is 20

Step-by-step explanation:

Answer:

m=20

Step-by-step explanation:

The line is in point slope form, or

y=mx+b

where m is the slope and b is the y-intercept

For the equation

y=20x

20 and x are being multiplied. The number being multiplied by x is the slope, therefore the slope is 20

Nat says that a square is a rectangle because it has four right angles. Amy says that a square is a rhombus because it has 4 equal sides. Who is correct? Explain *

Answers

Answer:

They are both correct in special cases of a rectangle and rhombuses

Step-by-step explanation:

A square is quadrilateral, with four equal sides and four equal interior angles of 90°

A rectangle is a quadrilateral, with four equal angles which are all 90°. Therefore,  a square is a special case of a rectangle with all the sides equal

A rhombus is also a equilateral quadrilateral with having equal opposite angle.

Therefore, when any of the interior angles is equal to 90°, the rhombus becomes known as a square, hence, a square is a special form of rhombus.

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

leg: 29 m; hypotenuse: 46 m


54.4 m

35.7 m

40.9 m

50.5 m

Answers

The square root of 46^2m - 29^2m
The answer is approximately 35.707 which is option B 35.7m

The length of the third side of a right triangle is 35.7 m

What is a right triangle?

"It is a triangle whose one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"For a right triangle, [tex]x^{2} + y^{2}= z^{2}[/tex]

where z is the hypotenuse and x, y are other two sides of the right triangle."

For given question,

We have been given the two sides of a right triangle.

leg = 29 m; hypotenuse = 46 m

Let 'a' be the other leg of the right triangle.

Using Pythagoras theorem,

[tex]\Rightarrow a^{2} + 29^{2}= 46^{2}\\\\\Rightarrow a^{2}=46^{2}- 29^{2} \\\\\Rightarrow a^{2}=2116-841\\\\\Rightarrow a^{2} = 1275\\\\\Rightarrow a=\sqrt{1275}\\\\\Rightarrow a=35.7[/tex]

Therefore, the length of the third side of a right triangle is 35.7 m

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Fran is putting up a tent. Each triangular end of the tent has sides of length 6 ft. What is the approximate height of the tent, rounded
to the nearest foot? (Hint: A perpendicular from a vertex of an equilateral triangle to its opposite side will intersect the opposite side
at its midpoint.)

Answers

Answer:

height = 5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

Answer: 5

Step-by-step explanation:

If A( 6, -1) , B( 1,3) and C( k, 8) are three points such that AB = BC, find the value of k

Answers

Answer:

De value of k is 9

Step-by-step explanation:

6,-1

b(1,3)

(k,8)

am using bodmas

a6-1×1=6a

b1×3=3b

abc=8

6a+3b+8=17-8

=9

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