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diamong [38]
3 years ago
14

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
T.A.=

Mathematics
2 answers:
lawyer [7]3 years ago
6 0

Answer: Total area of the given prism is (104 + 16√13) Square inches.

Step-by-step explanation:

By the given diagram,

In the right triangular prism,

The sides of the base ( right triangle ) are 4 inches and 6 inches,

We have to finds : T.A. ( the total area of the prism )

Thus, the total base area of the prism = 2 ×  ( Area of triangle having base 4 inches and height 6 inches )

= 2× ( 1/2 × 4 × 6 )

= 4 × 6

= 24 square inches,

Let the hypotenuse of the triangles having sides 4 and 6 is x inches, ( shown in the diagram )

Thus, by the given diagram,

x^2 =4^2+6^2

x^2 = 16 + 36

x^2 = 52

x=2\sqrt{13}

Now, the total lateral area of the prism,

= 8×2√13 + 8×4 + 8×6

= 16√13 + 32 + 48

= (16√13 + 80) square inches,

Since, the total area of the given prism (T.A.) = Total base area of the prism(B.A.) + Total lateral area ( L.A.)

= 24 + 16√13 + 80

= (104 + 16√13) Square inches.

Reil [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Answer: Total area of the given prism is (104 + 16√13) Square inches.

Step-by-step explanation:

By the given diagram,

In the right triangular prism,

The sides of the base ( right triangle ) are 4 inches and 6 inches,

We have to finds : T.A. ( the total area of the prism )

Thus, the total base area of the prism = 2 ×  ( Area of triangle having base 4 inches and height 6 inches )

= 2× ( 1/2 × 4 × 6 )

= 4 × 6

= 24 square inches,

Let the hypotenuse of the triangles having sides 4 and 6 is x inches, ( shown in the diagram )

Thus, by the given diagram,

Now, the total lateral area of the prism,

= 8×2√13 + 8×4 + 8×6

= 16√13 + 32 + 48

= (16√13 + 80) square inches,

Since, the total area of the given prism (T.A.) = Total base area of the prism(B.A.) + Total lateral area ( L.A.)

= 24 + 16√13 + 80

= (104 + 16√13) Square inches.

Read more on Brainly.com - brainly.com/question/10064994#readmore

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Please help with the question 2 to 18
vladimir1956 [14]
Since these questions all require similar methods of solving, I will only completely work out the first question of each type.

2. To find \frac{7}{10}as a decimal, all we need to do is complete the fraction by dividing the numerator by the denominator.

\frac{7}{10} = 7 / 10 = 0.7

\frac{7}{10} as a decimal is 0.7.

3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.

\frac{13}{20} =0.65

Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.

0.65 = 65%

which is the answer to question 3.
\frac{13}{20} written as a percent is 65%.

4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.

2%5 = \frac{25}{100}

Since 25 goes into 100 four times, we can simplify this fraction.

\frac{25}{100} = \frac{1}{4}

which is our answer.

25% written as a fraction is \frac{1}{4}.

5. This is the same as problem 3, so I won't show my work for the sake of time.

\frac{2}{5} as a percentage is 40%.

6. This is the same as problem 1, so I will not show steps again.

\frac{3}{20} as a decimal is 0.15.

7. Done similar problems in past. No work shown.

\frac{21}{50} as a percent is 42%.

8. Same as last problem.

\frac{1}{25} as a percent is 4%.

9. Same as number 4.

 6% as a fraction is \frac{3}{50}.

10. Similar in past.

\frac{3}{5} as a percentage is 60%.

11. Same as 6.

\frac{12}{25} as a decimal is 0.48.

12. Done a lot of these so far.

\frac{3}{10} as a percentage is 30%.

13. Just did one like this.

\frac{3}{4} as a percentage is 75%.

14. Same as 4 and 9.

65% as a fraction is \frac{13}{20}.

15. Plenty of these done in past.

\frac{1}{5} as a percentage is 20%.

16. Last problem, and it's just like the one just before this.

\frac{9}{10} written as a percent is 90%.

So there are the results.
Hope that helped! =)
6 0
3 years ago
Read 2 more answers
Helppp meeee plsssss
serious [3.7K]
The answer is 176 because 86+86=176
4 0
3 years ago
Sarah is saving money to buy a microscope. She has saved $25 so far. That's 1/3 of the
seropon [69]

Answer:

X = $75

Step-by-step explanation:

X=total cost

x* (1/3) =$25

multiply by 3 on both sides

x=$75

4 0
3 years ago
20 points if you can answer this! :D​
andrew-mc [135]

Answer:

The answer is Ari, Beth, Cindy

Explanation

Ari

  • 2¾ miles is 2.75 miles
  • speed of 2½ miles per hour is 2.5 mi/h

DISTANCE = SPEED × TIME

t = d/s

= 2.75/2.5

= 1.1hr

= 66mins

Beth

  • 1¾ miles is 1.75 miles
  • speed of 1¼ miles per hour is 1.25 mi/h

t = d/s

= 1.75/1.25

=1.4hr

=84mins

Cindy

  • 1hr 21mins is 81mins

(Correct me if i am wrong)

5 0
3 years ago
A store advertise 15% off an item that regularly sells for 300$. What is the sale price of the item
erik [133]

Answer:

255

Step-by-step explanation:

(1-15%)a=300

a=255

7 0
3 years ago
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