Find the volume of the pentagonal base is 33.5 cm2 and the height of the prism is 15 cm. Do not include units in your answer.

Answer:

67.50

Step-by-step explanation:

Answer:

The hundredth is always the second number after the decimal point (to the right).

So, when rounding to that number look at the number on the right of it, which in this case is 9.

Then, if the number is 5 to 9, round up, but if it is 0 to 4, round down.

In this case, the number above 0.49 is 0.5.

Hope this helps! I would really appreciate it if you would mark me brainliest! Have a blessed day!

Answer:

15x^3+28x^2-55x-12

Step-by-step explanation:

Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.

assuming the box is cuboidal

Therefore, volume of the box  = Length× width× height

⇒volume of the box = (x+3)×(3x-4)×(5x+1)

now, (x+3)×(3x-4) = (3x^2+5x-12)

Now, volume of the box = (3x^2+5x-12)×(5x+1)

= 15x^3+28x^2-55x-12

Answer:

Approximately 7853.98

Step-by-step explanation:

The formula to finding the area of a circle based on radius is [tex]\pi r^2\\[/tex], where r is radius. Hope this helped :D

Answer:

B

Step-by-step explanation:

The answer is B hope that help

Answer:

Rounding to the Nearest Integer

The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).

Answer:

Step-by-step explanation:

Hand d hands. I Nnendjejw ndndnenend nsdnd nsrjer

Answer:

60

Step-by-step explanation:

24 dividend by 4 equals 6.

this means 10% of the original price is 6.

6 times 10 equals 60

hope this helps!!!

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

First, we do 3x3 which is 9.

Then, we do 9+4=13

Hope this helps =]

Answer:

let the no. of students in art class be x

then

9+4x=101

now u can solve it! u will get x = 23

Answer:

1/12 per bag

Step-by-step explanation:

A Fisherman spent his weekend working on his farmland

He had 1/6 of a bag of soil

He spreads it evenly among his 2 garden beds

Therefore the soil in each garden bed can be calculated as follows

= 1/6 ÷ 2

= 1/6 × 1/2

= 1/12 per bag

Answer:

its either a or b not entirely sure on which

Step-by-step explanation:

the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps

Answer:

236.5

Step-by-step explanation:

Sorry if it looks messy, I messed up in the middle!

9514 1404 393

Explanation:

The length CD can be found from the Pythagorean theorem.

  CF² + CD² = DF²

  2² + CD² = (2√10)²

  CD² = 40 -4 = 36

  CD = √36 = 6

From here, any of several methods could be used to find the area of ΔDEF.

One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.

  area ABCD = bh = (6 cm)(5 cm) = 30 cm²

  area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²

  area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²

  area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²

Then the area of interest is ...

  area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF

  area ΔDEF = (30 -10 -3 -6) cm²

  area ΔDEF = 11 cm²

__

Alternate solution

If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...

  D(0, 5), E(4, 0), F(6, 3)

The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.

  [tex]A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}[/tex]

_____

Additional comment

The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.

Answer:

2x+22=42

Step-by-step explanation:

2x+22-22=42-22. which is 2x=20 divide both sides with 2,therefore the answer is 10

Answer:

125

Step-by-step explanation:

180-55=125

Answer:

0.67 Laps per minute

Step-by-step explanation:

4 Laps over 6 Minutes

4/6 = 0.67

Answer:

5 3/10

Step-by-step explanation:

You subtract 1 1/5 from the number (n).

(In equation) x = n - 1 1/5

Answer:

a. 4×2 = 8

b. E = 120

c. F = 400

Answer:

7.875

Step-by-step explanation:

1 1/8 times 7= 7.875

9514 1404 393

Answer:

  (a) $2.857 million

  (b) vertical compression by 1/3; shift left by 6; shift up by 2

Step-by-step explanation:

(a) Find the year difference (2021-2010=11) and put that value where x is. Then do the arithmetic.

  g(11) = (∛(11+6))/3 +2 = (∛17)/3 +2 ≈ 2.57128/3 +2 ≈ 0.857 +2

  g(11) ≈ 2.857 . . . 2021 revenue in millions of dollars

__

(b) For parent function f(x), the transformation ...

  g(x) = a·f(x -h) +k

represents a vertical scaling by a factor of 'a', right shift by h units, and up shift by k units.

Comparing this form to the given g(x), we see ...

  a = 1/3 . . . vertical compression by a factor of 1/3

  h = -6 . . . .right shift 6 units

  k = 2 . . . . up shift 2 units

_____

Additional comment

The vertical scaling is called "compression" when the scale factor is less than 1, and "stretch" when the scale factor is greater than 1. Here, the scale factor of 1/3 means the graph is vertically compressed.

Answer:

BDA=52 angles at the centre is equal to 2× angles at circumference

Answer:

0.0083628

Step-by-step explanation:

Here is the answer

Answer:

The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet

Step-by-step explanation:

hope it helps !

Answer: 75 feet

Step-by-step explanation:

Answer:

i dont know sorry

Step-by-step explanation:

Answer:

( + 10)

Hope this helps you out