Which expression can be used to find the surface area of the following triangular prism?
A. 6+6+33+44+55
B. 6+6+55+55+55
C. 12+12+33+44+55
D. 12+55

Answer:

8n + 1, where n is a whole number greater than or equal to 0.

Step-by-step explanation:

Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.

The sequence is an arithmetic sequence.

The pattern is 1 + (n - 1)8.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

1, 9, 17, 25, 33,....

This is an arithmetic sequence.

The first term is 1.

a = 1

The common difference is 8.

d = 8

i.e

9 - 1 = 8

17 - 9 = 8

25 - 17 = 8

The nth term of an arithmetic sequence.

= a + (n -1)d

= 1 + (n - 1)8

Thus,

The pattern of the sequence is 1 + (n - 1)8.

Where n is the term of the number.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

Answer:

7x-58

just add all the terms

Answer:

Amanda's box volume is 70 cm^3 greater than Mary's

Step-by-step explanation:

Find and then compare the volumes of the two boxes:

Amanda's:  10*10*13.5 cm^3 = 1350 cm^3

Mary's:  8*8*20 = 1280 cm^3

Amanda's box volume is 70 cm^3 greater than Mary's.

Answer:

Distance between the points (-9,2) and (-4,2):

D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5

=> Option A is correct

Answer:

B.13

Step-by-step explanation:

In order to solve the distance between two points you need the distance formula which is -> Distance = √  (x1 - x2)^2 + (y1 - y2)^2  

-9 would be x1 and -4 would be x2(so the first numbers of both sets)

Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)

You plug in the numbers to the formula.

Which would be:

Distance = √  (-9-4)^2 + (2-2 )^2

Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.

Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.

You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.

Figure 3

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral

Answer:

it D . acute and A .scalene

Answer:

because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire

Step-by-step explanation:

if im wrong im sorry if not pls brainlyest

Answer:

2x

Step-by-step explanation:

Each number is mutiplied by 2

Answer: it doubles

Step-by-step explanation: 12+12= 24, 24+24= 48, 48+48=96

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

Answer:

1. 3

2. 3

3. 15

Step-by-step explanation:

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Answer:

Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.

For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.

And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.

Step-by-step explanation:

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

WHERE ARE THE FOLLOWING?

Answer:

C. The data value must be less than the mean

Step-by-step explanation:

Took the quiz on edge:)

Width (7.8) x length (7.8) x width (7.8) = 474.552

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

y=y0e^-0.0002t

Step-by-step explanation:

Answer:

2 3/8

Step-by-step explanation:

5 1/8 - 2 3/4

= 5 1/8 - 2 6/8

= 4 9/8 - 2 6/8

= 2 3/8

Answer:

B)6 units

Step-by-step explanation:

-10-9-8-7-6-5-4-3-2-1 01234 5 6 7 8 9 10

or

-7-(-1)=-6

Distance can't be a negative so the answer is 6.

Answer:

5) Mode = 63          6) Mode = 74        

   Range = 70             Median = 74

   Median = 63           Range = 57

   Mean =  58.75        Mean = 68.7

Step-by-step explanation:

Answer: You Would have To know How Far it will go In the next 60 min. (c

Step-by-step explanation:

Answer:The answers are down there.

Step-by-step explanation:

A) The speed of the train on the last section is  20miles/ 30 minutes  which 0.66 miles per minute.

B) It traveled the fastest from 50 to 60 minutes or 30 miles to 60 miles.

C) The train will travel 60 miles in 60 minutes.

D)The train stopped for  20 minutes during the journey.

Answer:

157.08

pi x radius x radius x height/3

Step-by-step explanation:

Answer:

V≈157.08

Step-by-step explanation:

I used the formula for a cone:

V=πr2h/3 (h/3 as in a fraction)

Answer:

13.5

Step-by-step explanation:

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.