(5)
A plane contains the points A(1, 2, 8), B(-2, 3, 6), and C(5,-1, 4).
(a) Determine 2 vectors parallel to the plane.
(b) Determine 2 vectors perpendicular to the plane.
(C) Write a vector equation of the plane.
(d) Write a scalar equation of the plane.
(e) Determine if the point D(-7, 4, 0) is contained in the plane.
(f) Write an equation of the line through the y and z intercepts of the plane.

Answer:1.75

Step-by-step explanation:

formula= R= D/2

convert 3 1/2 into a decimal

3.5

do 3.5 divided by 2 (R= 3.5/2) = 1.75

so the Radius is 1.75 inches !! hope this helped :)

The radius of the button 3 and 1/2 in would be; 1.75

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

The formula= Radius= D/2

Now convert 3 and 1/2 into a decimal;

3.5

Now, 3.5 divided by 2 (R= 3.5/2)

= 1.75

Hence, the Radius is 1.75 inches .

Learn more about circle here;

brainly.com/question/12512221

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

159.4

Step-by-step explanation:

I'm assuming that it's supposed to be 15x^3-12x^2 because when you copy and paste the "^" gets cut out

15*2.5^3 - 12*2.5^2 = 234.375 - 75 = 159.375

rounded is 159.4

Answer:

the answer is the (L,N,K,O)

is there any instructions above the circle?

Answer:

d=2_f - 9h_f

Step-by-step explanation:

es la segunda opción

Answer:

138.23

Step-by-step explanation:

Answer:

9 hours.

Step-by-step explanation:

$357 / 17 = $21. ($21 per hour.)

$189/$21 = 9. BOOM

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

Answer:

15 by 2

Step-by-step explanation:

15 cubes in each layer with 2 layers

Answer:

Cubes in each layer: 15

Number of layers: 2

Volume : 30 cm^3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

add them all together and then divide by 5

Answer:

5/6?

Step-by-step explanation:

Answer:

28 i think

Step-by-step explanation:

Answer:

I cant see the full question enough to help you. Its showing like part of the question.

Answer:

4x+y=-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

There is really only one solution which is the third choice. When you are dealing with the equation in the form of y = mx + b, the b stands for the y-intercept. So, your y-intercept equals -1. When you are finding the x-intercept you can just substitute y for 0(the definition of x-intercept is where the graph crosses the x-axis, meaning y needs to be equal to 0) and you get that x equals 1/5.

Answer:

x = 1/2

Step-by-step explanation:

all of its sides are equal;

4x - 6 = 2x - 5

2x = 1 , x  = 1/2

Answer:

139°

Step-by-step explanation:

Corresponding angles theorem:

When a transversal line intersects two parallel lines, the angles formed from the intersection are congruent in pairs. For example with your problem, using the Corresponding Angles Theorem (one of the few theorems/postulates used to find angles on transversals), the angles are paired on the same place on the first parallel line as they are on the second. Since the corresponding pair of (x)° is given, the angle of x is given. (x)° = 139°

I've provided an image courtesy of tutors.com that will help remember corresponding angles for you.

Answer:

Aceleracion = 0.8 m/s²

Step-by-step explanation:

Dados los siguientes datos;

Velocidad inicial = 12 m/s

Velocidad final = 20 m/s

Tiempo, t = 10 segundos

Para encontrar la aceleración;

Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.

Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.

Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;

[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]

Sustituyendo en la fórmula, tenemos;

[tex] Aceleracion = \frac{20 - 12}{10}[/tex]

[tex] Aceleracion = \frac{8}{10}[/tex]

Aceleracion = 0.8 m/s²

Step-by-step explanation:

Radius = Half of Diameter

r = 8/2

= 4 in.

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi \: {in}^{2} [/tex]

Answer:

[tex]1\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{10}{12} +\frac{11}{12} \\\\\frac{21}{12} \\\\1\frac{9}{12} \\\\1\frac{3}{4}[/tex]

Answer:

A or D

Step-by-step explanation:

Answer:3/5

Step-by-step explanation:when he takes one marble it’s 7/11 and when he takes another it’s 6/10 so simplify and you get 3/5

Answer:

Step-by-step explanation:

Answer:3/5

Answer:

I FIGURED IT OUT!

Step-by-step explanation:

a = 3

b = 3

c = 5

d = 2

give me brainliest

Answer:

1776.25

Step-by-step explanation:

35x7=245. 245x7.25=1776.25

Answer:

35 x 24 = 840, 840 hours

840 x 7.25 = $6090 for 35 days

Step-by-step explanation:

Answer:

Gavin has 3 parts left.

Step-by-step explanation:

8-3-2=3. The time was not important.

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{48}[/tex]

= [tex]\sqrt{16(3)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]

= 4[tex]\sqrt{3}[/tex]

Answer:

answer is y = 3/4x - 5

Step-by-step explanation:

picture below.

The 3/4 comes from the line. You would use rise over run to find the slope, which in this case is 3/4. and the -5 is basically the y-intercept

Answer: 34.5

Step-by-step explanation:

(Base · Height) ÷ 2 → (2 · 4.5) ÷ 2 = 5.5

5.5 · 5 = 27.5

27.5 + 7 = 34.5