find the diagonal that goes through the 3D shape.

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:

20.85ft

Step-by-step explanation:

height of kite = person's height + vertical component of kite at the angle

= 5.4ft + 30sin31

=20.85ft

Answer:

52 m sq

Step-by-step explanation:

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

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:

58

Step-by-step explanation:

58

boom. done.

more than .5 is round up

Answer:

.25 in per hour

Step-by-step explanation:

you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28

Answer:

it will be 4 inches per hour

Step-by-step explanation:

to find unit rate you will divide 28 and 7 and will get 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

Given:

The two points are (4,5) and (-3,-5).

To find:

The point-slope form equations could be produced with the given points.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The two points are (4,5) and (-3,-5). So, the slope of the line is:

[tex]m=\dfrac{-5-5}{-3-4}[/tex]

[tex]m=\dfrac{-10}{-7}[/tex]

[tex]m=\dfrac{10}{7}[/tex]

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope of the line.

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (4,5). So, the point slope form is:

[tex]y-5=\dfrac{10}{7}(x-4)[/tex]

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (-3,-5). So, the point slope form is:

[tex]y-(-5)=\dfrac{10}{7}(x-(-3))[/tex]

[tex]y+5=\dfrac{10}{7}(x+3)[/tex]

Therefore, the point slope form of the given line is either [tex]y-5=\dfrac{10}{7}(x-4)[/tex] or [tex]y+5=\dfrac{10}{7}(x+3)[/tex].

Answer:

2x-7

-14

3x

x = 1

Step-by-step explanation:

647.2 is your answer

may you please help me with my newest question?

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: The answer is 84 cubic feet.

Step-by-step explanation:

V= l*w*h

V=14*12*1/2

V= 84

Answer:

65.8179...

Step-by-step explanation:

its 65.8179...

9514 1404 393

Answer:

  C.  2x² +4x -30 = 0

Step-by-step explanation:

This is what you get when you follow the instructions.

  [tex]\dfrac{6}{x}=\dfrac{2x+4}{5}\qquad\text{given}\\\\\dfrac{6(5x)}{x}=\dfrac{(5x)(2x+4)}{5}\qquad\text{multiply by the common denominator $5x$}\\\\30=x(2x+4)\qquad\text{cancel common factors}\\\\30=2x^2+4x\qquad\text{eliminate parentheses}\\\\\boxed{2x^2+4x-30=0}\qquad\text{subtract 30}[/tex]

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:

[tex]5+2.25m=38.75[/tex]

Step-by-step explanation:

Let [tex]m[/tex] represent the number of miles to Jazmin's home.

Initial cost to pick Jazmin [tex]=\$5[/tex]

Cost per mile [tex]=\$2.25[/tex]

Therefore,

Cost for [tex]m[/tex] miles [tex]=\$2.25m[/tex]

Total cost of Jazmin's ride = Initial cost to pick Jazmin + Cost for [tex]m[/tex] miles

                                            = [tex]5+2.25m[/tex]

Also, total cost incurred [tex]=\$38.75[/tex]

So, equation that represent the above situation is [tex]5+2.25m=38.75[/tex]

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:

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

Answer: Can you explain more?

Step-by-step explanation:

Answer:

The expression would be 4 over b : [tex]\frac{4}{b}[/tex]

Step-by-step explanation:

a fraction sign is the same thing as a division sign

Answer:

11

Step-by-step explanation:

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.

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