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kenny6666 [7]
3 years ago
14

A number in expanded form is shown. 4×1+3×1/100+9×10+5×1/10

Mathematics
1 answer:
77julia77 [94]3 years ago
3 0
The real answer is going to be 23.5
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Brainliest pls help
Airida [17]
<h3>Volume:</h3>

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

<u>Rectangular prism Volume</u>

5*5*6.3

<em>157.5</em>

<u>Right triangle prism Volume</u>

(3*5*6.3) / 2

94.5 / 2

<em>47.25</em>

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

<em><u>204.8 cm^3 = Total Volume </u></em>

<h3>Surface Area:</h3>

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

<em>1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).</em>

<em>So, within each of these right </em>trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

<u><em>216.8 cm^2 = Total Surface Area</em></u>

<em />

8 0
2 years ago
Work out and simplify where possible<br><br>7/15+2/15​
alisha [4.7K]

Answer:

3/5

Step-by-step explanation:

7/15 + 2/15 = 9/15

both 9 nad 15 are divisible by 3

9/15 = 3/5

6 0
2 years ago
Read 2 more answers
Using the rule y = 8x+ 5, Find the value of y when xis 6.
denpristay [2]

Answer:

y=53

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

y=8(6)+5

y=48+5

y=53

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!

5 0
3 years ago
What is the answer for 7/8+1/3 I really need this for my math homework please help me please thx
Brilliant_brown [7]

Answer:

Step-by-step explanation:

the you have to find the common denomontor which is 24  what ever you do to the bottom you do to the top so you answer is 1  5/24

4 0
3 years ago
Read 2 more answers
NO LINKS!! PART 2: Find the EXACT area and Circumference of each circle​
Tema [17]

Answer:

  2. center: (2, 5); radius: 3; Area: 9π; Circumference: 6π

  4. center: (0, 0); radius: 8; Area: 64π; Circumference: 16π

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . center (h, k), radius r

The value of r is used in the formulas for area (A) and circumference (C):

  A = πr²

  C = 2πr

__

<h3>2.</h3>

Comparing the given equation to the standard form, we see ...

  (x -h)² +(y -k)² = r²

  (x -2)² +(y -5)² = 9

  (h, k) = (2, 5) . . . . center

  r² = 9

This tells us ...

  r = √9 = 3 . . . . radius

The Area formula uses r² directly:

  Area = πr² = π(9)

  Area = 9π

The Circumference formula uses r:

  Circumference = 2π(3)

  Circumference = 6π

__

<h3>4.</h3>

Comparing the given equation to the standard form, we find ...

  (h, k) = (0, 0) . . . . center

  r² = 64   ⇒   r = √64 = 8 . . . . radius

  Area = 64π

  Circumference = 2π(8) = 16π

7 0
2 years ago
Read 2 more answers
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