How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?

Answer:

A= 3,B = 2

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Answer:

hence, a = 3

b = 2

Step-by-step explanation:

from the given pair of linear equation we get,

7a + 3b = 27 - ( 1 )

6a + 3b = 24 - ( 2 )

now, subtract equation 2 from equation 1

=》7a + 3b - 6a - 3b = 27 - 24

=》a = 3

now put the value of a in equation 1

=》7a + 3b = 27

=》( 7 × 3 ) + 3b = 27

=》21 + 3b = 27

=》3b = 27 - 21

=》b = 6 ÷ 3

=》b = 2

Given:

Length of the parallelogram = 25 feet

Width of the parallelogram = 20 feet

Perpendicular distance from the long side to the opposite long side = 18 feet.

To find:

The area of the piece of land which is a parallelogram.

Solution:

Area of a parallelogram:

[tex]Area=Base\times height[/tex]

Let the longer side, 25 feet is the base, then the height of the parallelogram is 18 feet. So, the area of the parallelogram is

[tex]Area=25\times 18[/tex]

[tex]Area=450[/tex]

Therefore, the area of the piece of land is 450 square feet.

Using the disk method, the volume would be

[tex]\displaystyle \pi \int_0^3 (\sqrt x)^2 \,\mathrm dx=\pi \int_0^3 x\,\mathrm dx=\frac\pi2 x^2\bigg|_0^3=\boxed{\frac{9\pi}2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral.

In this exercise we have to use the knowledge of the integral to calculate the volume of the disk that will correspond to:

[tex]V= \frac{9\pi }{2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral. Using the disk method, the volume would be:

[tex]\pi \int\limits^3_0 {(\sqrt{x})^2} \, dx = \pi \int\limits^3_0 {x} \, dx = \frac{\pi x^2}{2} = \frac{9 \pi }{2}[/tex]

See more about volume at brainly.com/question/1578538

Answer:

128 square feet

Step-by-step explanation:

Horizontal Gray parts:

12 - 8 = 4 ÷ 2 = 2

2 * 24 = 48 * 2 = 96

Vertical gray parts:

24 - 20 = 4 ÷ 2 = 2

2 * 8 = 16 * 2 = 32

All together:

96 + 32 = 128 square feet

Answer:

the fastest is 12 meters every 4 seconds

slowest is 8 meters every 6 seconds

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

Draw a big X over the equal sign, then cross multiply the terms to get:

6(p) = 9(p+9)

Then you want to get p by itself.

Answer:

52.365

Step-by-step explanation:

53.715 + 51.3 + 52.62 = 157.635

210 - 157.635 = 52.365

Answer:

$390 is the correct answer

Answer:

390

Step-by-step explanation:

(1300)(.05)(6) = 390

Answers:

===========================================

Explanations:

Answer:

x=9

Have a beautiful day!

Hey.... can anybody help me with a question? "If you can change one thing in your community with design, what would it be and how will it work towards racial justice"?

Answer: x=9

Step-by-step explan

Step-by-step explanation:

[tex] \frac{67}{100} \times x = 119.2 \\ x = \frac{11920}{67} = 117.9 = 178[/tex]

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

tan 60 = h/3

h = 3 tan 60

h = 5.20 m

The ladder is at a height of 5.20 m above the ground

Answer:

d) AAS

Step-by-step explanation:

The angles shared where the triangles share a vertex are equal. Thus Angle-Angle-Side proves congruency.

Answer:

B, A.

Step-by-step explanation:

Answer:

radius = 9.38 cm   or   7(sq rt 2) cm

Step-by-step explanation:

sq rt 88(Pi) = radius

radius = 9.38 cm   or   7(sq rt 2) cm

Answer:

Sargento cheese slices are the better deal

Sargento cheese slices $2.48 for 10 slices = 0.248 per slice

Velveeta cheese slices $3.18 for 12 slices = 0.265 per slice

Step-by-step explanation:

The unit rate for each cheese slice is $0.24 per piece for Sargento cheese slices and for Velveeta cheese slices is $0.26, and Sargento cheese slices is the better deal.

Given that,
Sargento cheese slices $2.48 for 10 slices or Velveeta cheese slices $3.18 for 12 slices.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Sargento cheese slices, unit rate = 2.48/10 = $0.24
Velveeta cheese slices , unit rate = 3.18/12 = $0.26
From above Sargento cheese slices, is cheaper than  Velveeta cheese slices.

Thus, the unit rate for each cheese slice is $0.24 per piece for Sargento cheese slices and for Velveeta cheese slices is $0.26, and Sargento cheese slices is the better deal.

Learn more about simplification here:

https://brainly.com/question/12501526

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Answer:

y = 4x - 2

Step-by-step explanation:

Given: 4x=2+y

First, subtract 2 on both sides to isolate out y. (Slope-intercept form is y=mx+b)

Once subtracted, you get: 4x-2=y

Rearrange it, and you get: y=4x-2

Answer:

1.) 20 square inches

2.) 4.16

3.) (-1, -5) (2, -5)

Step-by-step explanation:

Answer:

its number 3

Step-by-step explanation:

Answer:

(in degrees)

x = 15.09478709

Step-by-step explanation:

sin(x) = 25/96

Answer:

i think one of them is

(-1,5) and (8,3)

Step-by-step explanation:

just count up how much is on both x and y axes and you'll get ur answer.

goodluck!

also, dont put my answer cuz im afraid u'll get it wrong cuz i tried my best, so jus wait untill someone else answers if u want <3

goodluck

Answer:

I think the answer is B. I hoped I helped a little

Answer:

Division (Hope this helps)

Step-by-step explanation:

Answer:

Pos sabe aaaaaaaaaaaaaaaaaaaaaaaa

Answer:

h = 5.5

Step-by-step explanation:

2.3 + h = 7.8

-2.3         -2.3

  h = 5. 5