calculate the volume of a pentagonal prism with: side length = 16, apothem= 11cm, and height= 4cm​

Answer:

1. 2268.

2. 12.

Step-by-step explanation:

1. Given the mathematical expression; 2 * 2 * 9 * 7 * 9

We would simplify the expression;

2 * 2 * 9 * 7 * 9 = 4 * 81 * 7

2 * 2 * 9 * 7 * 9 = 28 * 81

2 * 2 * 9 * 7 * 9 = 2268

2. Given the mathematical expression; 2² + 2 * 2²

From BODMAS (Bracket Of Division Multiplication Addition Substraction), we would first of all multiply before performing an addition operation.

Therefore,

2² + 2 * 2² = 4 + 2 * 4  

2² + 2 * 2² = 4 + 8

2² + 2 * 2² = 12

Answer:

1. 2268 2. 12

Step-by-step explanation:

9514 1404 393

Answer:

  C  -10

Step-by-step explanation:

Multiply each side of the equation by 5.

  5(x/5) = 5(-2)

  x = -10 . . . . matches choice C

Answer:

It should be 10 2/3 minutes

Step-by-step explanation:

You divide 1 1/3 by 1/8 and you get 10 2/3 minutes. So it takes the snail 10 2/3 or 10.66 minutes to move 1 1/3 inches

Answer:

576

Step-by-step explanation:

Answer:

[tex]y = \frac{3}{2} x + 13[/tex]

Step-by-step explanation:

1) Use point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. So, substitute [tex]\frac{3}{2}[/tex] for m, -4 for [tex]x_1[/tex], and 7 for [tex]y_1[/tex]. Then, simplify and isolate y on the left side like so:

[tex]y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13[/tex]

Answer:

1). Yes

2). Yes

3). No

Step-by-step explanation:

1). y = 3

  We can rewrite this equation in the slope-intercept form as,

   y = 0.x + 3

  Here, slope = 0

  y-intercept = 3

  Therefore, it's a linear relation.

  YES.

2). 2x - 5y = 10

   5y = 2x - 10

   y = [tex]\frac{2}{5}x-2[/tex]

   Therefor, it's a linear function.

   YES

3). y = x(x + 3)

   y =x² + 3x

   Since, this equation is a quadratic equation,

   It's not a linear function.

   NO

Answer:

Integer, Natural, Whole

Step-by-step explanation:

your to nice (:

Answer:

the value of x is 25 degrees

Step-by-step explanation:

Here, we want to get the value of x

we use an important triangle angular principle here

And the principle is that when we add two opposite interior angles, we get the value of the exterior angle on the third side

Thus, mathematically;

x + 75 = 4x

4x-x = 75

3x = 75

x = 75/3

x = 25 degrees

Answer:

x = 45.6

Step-by-step explanation:

NOTE: Please double-check my answer.

To find x, I used Sine Law.

[tex]\frac{x + 5}{sin65}[/tex] = [tex]\frac{x}{sin40}[/tex]

(x+5)sin40 = xsin65

xsin40+ 5sin40 = xsin65

xsin40 - xsin65 = -5sin40

x(sin40 - sin65) = -5sin40    (I factored out the "x")

x = [tex]\frac{-5sin40}{sin40 - sin65}[/tex]

x = [tex]\frac{-3.725565802}{0.74511316 - 0.826828679}[/tex]

x = 45.6

Answer: the x should be next to the 107 instead of the 89

Step-by-step explanation:

SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ

Step-by-step explanation:

XJDUXIDB DUDUU

Answer:

3 1/2 is the closest

Step-by-step explanation:

Theres 3 that are full and 2/5

Answer:

its 3 1/2 or c

Step-by-step explanation:

Answer: 180 people

Step-by-step explanation:

Number if people living in the town = 800

Children aged 17 or younger = 200

Adults of 18 and above = 800 - 200 = 600

Since 15 out of every 50 adults work in the factory, the number of people that work in the factory will be:

= 15/50 × 600

= 180 people

Answer:

18%

Step-by-step explanation:

Express the ending population as a percentage of the starting population:

270000 divided by 330000=0.82

0.82 *100=82

subtract from the 100% we started with to get the percent decrease:

100% - 82% = 18

:)

Answer:

70 - 28 = 42

42/100 X 40 = 16.8

42 - 16.8 = 25.20

Answer:

[tex]12x\leq 24[/tex]; [tex]x\leq 2[/tex]

Step-by-step explanation:

So you have 12 math problems that each take x amount of minutes, and have 24 minutes to finish them. Remember, you can't exceed the 24 minutes (but you are allowed to equal that time). So:

[tex]12x\leq 24[/tex]

Then you can simplify by dividing both sides by 2:

[tex]x\leq 2[/tex]

is there a picture or is it only text?

No,  5/8 cannot make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] to be true

The given fractional equation is:

[tex]\frac{8}{15}-x=\frac{3}{7}[/tex]

To calculate the fraction that will make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex], solve for x in the given equation:

[tex]\frac{8}{15}-x=\frac{3}{7}[/tex]

Collect like terms

[tex]x=\frac{8}{15}-\frac{3}{7}[/tex]

Simplify the resulting fraction as follows:

[tex]x=\frac{56-45}{105} \\\\x=\frac{11}{105}[/tex]

Therefore, the missing fraction that will make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] true is 11/05

We can conclude that 5/8 cannot make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] to be true

Learn more here on fractional equations here: https://brainly.com/question/3382177

Since [tex]\frac{5}{8} \neq\frac{11}{105}[/tex], hence [tex]\frac{5}{8}[/tex] will not make the equation true.

Given the equation

a is the fraction that will make the equation to be equal

Subtract [tex]\frac{8}{15}[/tex] from both sides;

[tex]\frac{8}{15}-a-\frac{8}{15} =\frac{3}{7}-\frac{8}{15}\\-a= \frac{3}{7}-\frac{8}{15}\\-a=\frac{3(15)-7(8)}{105} \\-a=\frac{45-56}{105}\\-a=\frac{-11}{105}[/tex]

Multiply both sides by a negative sign to have:

[tex]-(-a)=-(-\frac{11}{105} )\\a=\frac{11}{105}[/tex]

Since [tex]\frac{5}{8} \neq\frac{11}{105}[/tex], hence [tex]\frac{5}{8}[/tex] will not make the equation true.

Learn more on equation here: https://brainly.com/question/2972832

Answer: (12, 5)

Step-by-step explanation:

3x + 2y = 46 x + y = 17

Subtract y from both sides of the equation.

x = 17 − y 3x + 2y = 46

Replace all occurrences of x with 17 − y in each equation.

   51 − y = 46

x = 17 − y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

Subtract 51 from both sides of the equation.

   −y = 46 − 51

   x = 17 − y

Subtract 51 from 46.

   −y = −5

   x = 17 − y

Multiply each term in −y = −5 by −1

Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1

   x = 17 − y

Multiply (−y) ⋅ −1.

   y = (−5) ⋅ −1

   x = 17 − y

Multiply −5 by −1.

y = 5

x = 17 − y

Replace all occurrences of y with 5 in each equation.

Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)

y = 5

Simplify 17 − (5).

Multiply −1 by 5.

x = 17 − 5

y = 5

Subtract 5 from 17.

x = 12

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(12, 5)

The result can be shown in multiple forms.

Point Form: (12, 5)

Equation Form: x = 12, y = 5

Answer:

5,265 blueberries

Step-by-step explanation:

195 blueberries      1 pound

----------------------- x  --------------

          ?                     27 pounds

cancel the 1 pound

cross multiply the 195 and 27

Answer:

hi soo i just did this got it right and the correct answer is 5265.

Step-by-step explanation:

ik it might not help now but still work right? hehe

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.

Therefore we have x + 72° = 90° + 34°.

=> x + 72° = 124°, x = 52°.

Hence the value of x is 52°.

Answer:

Alex is reading faster by 5 more pages per hour.

Step-by-step explanation:

Alex's rate of reading is 1/2 pages per minute, or 1 page every 2 minutes. To convert his rate to pages per hour, we can divide 60 (minutes in an hour) by 2 (minutes it takes Alex to read a page) which is equal to 30 (pages read in an hour). Therefore, Alex is reading at 30 pages an hour and reading 5 more pages an hour than Sammie.

Answer:

2*2=4

Step-by-step explanation:

Step-by-step explanation:

96/x =48%/100

48x=9600

x=9600/48

x=200 cakes

Answer:

Y = 3(c+7)

Hope this helps!

Answer:

It is a acute triangle

Step-by-step explanation:

Answer:

156°

Step-by-step explanation:

Answer:

-10 is not a solution to the equation

Step-by-step explanation:

I don't really have an explanation