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Given:

The square base pyramid with height 3 cm and base edge 2 cm.

To find:

The volume of the square pyramid.

Solution:

Volume of a square base pyramid is:

[tex]V=\dfrac{1}{3}Bh[/tex]            ...(i)

Where, B is the base area and h is the height of the pyramid.

Base is a square with edge 2 cm, so the base area is:

[tex]B=a\times a[/tex]

Where, a is the edge of the square base.

[tex]B=2\times 2[/tex]

[tex]B=4[/tex]

Putting [tex]B=4,h=3[/tex] in (i), we get

[tex]V=\dfrac{1}{3}(4)(3)[/tex]

[tex]V=4[/tex]

Therefore, the volume of the given pyramid is 4 cm³.

Answer: The answer is 84 cubic feet.

Step-by-step explanation:

V= l*w*h

V=14*12*1/2

V= 84

Answer: y = 3,x =7

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

You just need to multiply 20 by 2/5

Or, multiply 20 by 2, then divide by 5.

20 x 2/5

40/5

8

2/5 of 20 = 40/5 or simply, 8.

Have a great day!

Answer:

Blank 1: 360

Blank 2: 6

Blank 3: 10

Step-by-step explanation:

Concept

-Geometric mean is the average of a set of products

Given

- Geometric mean of 15 and 24

Solve

√(15×24)=√360

√360=6√10

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1-0.7584=0.2416

Step-by-step explanation:

The probability nobody will order a non-A beverage is .56^8=0.0097

all 8 will order a non-A beverage is 0.44^8=0.0014

fewer than 6:

look at 6,7,8

Those add to 0.0794 and the answer is 1- that or 0.9206. Also 2nd VARS (.44,8,5)

b. at least 5 is 5,6,7,8

that is 1-P(0-4)

=1-0.7584=0.2416

9514 1404 393

Answer:

  C  f and g share no roots

Step-by-step explanation:

The roots of a polynomial function are the values of x that make factors of the function be zero.

f(x) = x(x +4). The roots of f are -4 and 0.

g(x) = (1/2)(x+3)(x-4). The roots of g are -3 and 4.

f and g share no roots in common.

Answer:

[tex]\boxed {\boxed {\sf x=0}}[/tex]

Step-by-step explanation:

To solve this equation, we must isolate the variable (x) using inverse operations.

[tex]-3(x-2)=6[/tex]

x-2 is being multiplied by -3. The inverse operation of multiplication is division, so we divide both sides by -3.

[tex]-3(x-2)/-3= 6/-3\\(x-2)=6 /-3 \\(x-2)= -2[/tex]

2 is being subtracted from x. The inverse operation of subtraction is addition, so add 2 to both sides of the equation.

[tex]x-2+2=-2+2\\x=-2+2\\x=0[/tex]

In this equation, x is equal to 0.

You have 2 shapes, a rectangle and a half circle.

Area of rectangle = 3 x 8 = 24

Area of a half circle = 1/2 x pi x r^2

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12

Total area = 24 + 25.12 = 49.12 square units

Answer:

You have 2 shapes, a rectangle and a half circle.

Area of rectangle = 3 x 8 = 24

Area of a half circle = 1/2 x pi x r^2

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12

Total area = 24 + 25.12 = 49.12 square units

finished

Answer:

3/8

Step-by-step explanation:

1 - 5/8 = 3/8

1-5/8

3/8

the probability that it will not rain ☔ is 3\8

Answer:

160%

1.6*150=240

Answer:

x = 30.6 km/hr

Step-by-step explanation:

Dados los siguientes datos;

Velocidad = 8.5 m/s

Para convertirlo a km /hr;

1 m/s = 3.6 km/hora

8.5 m/s = x km/hora

Multiplicación cruzada, tenemos;

x = 8.5 * 3.6

x = 30.6 km/hora

Velocidad se puede definir como la tasa de cambio en el desplazamiento (distancia) con el tiempo. La velocidad es una cantidad vectorial y, como tal, tiene magnitud y dirección. Matemáticamente, la velocidad viene dada por la ecuación;

[tex] Velocidad = \frac {distancia} {tiempo} [/tex]

Answer:

A = 372 units²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 24 , b₁ = 24, b₂ = 7 , then

A = [tex]\frac{1}{2}[/tex] × 24 × (24 + 7) = 12 × 31 = 372 units²

647.2 is your answer

may you please help me with my newest question?

Answer:

$10.50

Step-by-step explanation:

50-[5.50+8(3)+10] =

50-39.50=

10.50

Answer:

$6.00

first multiply eight and three then add the two things joe bougth. then the answer minus 50

Answer:

C i hope it helps

have a good night

Answer:

(-2,7)

x= -2

y= 7

Step-by-step explanation:

We have

x-3y= -23

5x+2y=4

Let's solve this through substitution

let's start by adding 3y in the first equation

x= -23 +3y

plug this into the second one

5(-23+3y)+2y=4

-115+15y+2y=4

17y=119

y=7

Plug this y value into our first equation

x-3(7)= -23

x-21= -23

x= -2

9514 1404 393

Answer:

  (a) 15°

  (b) 256°

  (c) 133°

  (d) 313°

Step-by-step explanation:

We assume your bearings are to be reported as an angle measured clockwise from north.

A) The given angle is the bearing: 15°.

__

B) The bearing can be found by subtracting this angle from 450°:

  450° -194° = 256°

__

C) The bearing can be found by adding 90° to the angle shown:

  43° +90° = 133°

__

D) The reverse bearing can be found by adding 180°:

  133° +180° = 313°

_____

Additional comment

Angles in Cartesian coordinates are conventionally measured counterclockwise from the +x axis. In that sense, the angle of C could be considered to be -43°.

Bearing angles are reported different ways. One of them is as an angle in the range 0–360°, measured clockwise from north (up, or +y axis). As such, it can be found by subtracting the conventional Cartesian angle from 90°.

When the Cartesian angle is more than 90°, 360° must be added to the difference to bring it back into the desired 0–360° range. Essentially, angles greater than 90° must be subtracted from 90° +360° = 450°.

Reverse bearings are found by adding or subtracting 180°.

__

An alternate convention for reporting bearings is as an angle in the range 0–90° east or west from north or south. In this convention, A = N15E, B=S76W, and C=S47E.

Occasionally, you will see the angles B and C reported from east or west: B=W14S; C=E43S. This keeps the angles in the 0–45° range. This is NOT a recommended way to report bearings.

Reverse bearings are found by swapping N/S and E/W. That is, the bearing from A to O is S15W, for example.

It is rational.

√1/4 = 1/4

Answer:

25/24    or    1 and 1/24

Step-by-step explanation:

2/3 + 3/8 = 16/24 + 9/24 = 25/24 or 1 1/24

Answer:

52 m sq

Step-by-step explanation:

Answer:

Assuming that [tex] \overline{AOC} [/tex] is a diameter.

Given that [tex] m\angle{BAC} \: = \: 66° [/tex]

And that point O is the center of the circle

[tex] \boxed{m\angle{BAC} \: = \: 57°} [/tex]

Explanation:

Because angle AOB is subtended by arc AB from point O.

Arc AB is equal to the measure of that angle.

Since arc ABC is subtended by the diameter, the arc is 180°.

Answer:

2x-7

-14

3x

x = 1

Step-by-step explanation:

Answer:

11

Step-by-step explanation: