Find the surface area of the triangular prism below. The bases each have an
area of 6 cm2 and a perimeter of 12 cm, and the altitude is 6 cm.
6 cm
A. 84 cm
B. 24 cm
C. 40 cm
D. 60 cm

Answer:

Minimum possible K = 307

Step-by-step explanation:

Attached below is the detailed solution

Given set { 1, 2 , .......... 2022 }

The largest subset will contain prime numbers because they are not multiples of any number but 1

Answer:

Company A.

Step-by-step explanation:

Company A = $450

Company B = 10*40 = $400

450 > 400, company A offers a better rate of pay.

Answer: Store C

Step-by-step explanation:

Store A is giving 15% off. 15% of 50 is 7.5.

50 - 7.5 = 42.5

Store B $10 dollar coupon.

50 - 10 = 40

Store C is offering $7.50 back.

50 - 7.50 = 42.5

Answer is store c

Store c is giving you $10 off where the other two stores are just give you $7.50.

Hope this helps.

Answer:

140

Step-by-step explanation:

20x+60=30x+20

40=10x

x=4

and

20x+60

20*4+60

=140

Answer:

c = 13.52 units.

Step-by-step explanation:

So for this, lets use the Law of Sines, which says that:

Sin A / a = Sin B / b = Sin C / c

We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.

180 - 80 - 33 = 67 degrees

With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines

Sin A / a = Sin C / c

sin 33/8 = sin 67/c

c = 8*sin67 / sin 33

c = 13.52 units.

Answer:

[tex]\%Absent = 80.20\%[/tex]

Step-by-step explanation:

Given

The attached data

Required

%Absentee on Friday

First, calculate the total present

[tex]Present = 42 + 36 + 40 + 36 + 38[/tex]

[tex]Present = 192[/tex]

Calculate the %Present on Friday

[tex]\%Present = \frac{Friday}{Present} * 100\%[/tex]

[tex]\%Present = \frac{38}{192} * 100\%[/tex]

[tex]\%Present = \frac{3800}{192}\%[/tex]

[tex]\%Present = 19.80\%[/tex]

Using complement rule:

[tex]\%Absent = 100\% - \%Present[/tex]

[tex]\%Absent = 100\% - 19.80\%[/tex]

[tex]\%Absent = 80.20\%[/tex]

Answer:

c and e is your answers

Step-by-step explanation:

Hope it helps :3

Answer:

=−9

=9

Step-by-step explanation:

4

2

=

3

2

4

4x^{2}=324

4x2=324

4

2

−

3

2

4

=

04

2

−

3

2

4

=

0

4x^{2}-324=0

4x2−324=0

4

(

2

−

8

1

)

=

04

(

2

−

8

1

)

=

0

4(x^{2}{\color{#c92786}{-81}})=0

4(x2−81)=0

4

(

2

+

9

−

9

−

8

1

)

=

0

Answer:

The green triangle is the rotation.  It is rotated 90 degrees about the origin (0,0).  P is at (-1.1).  Q is at(-2,3).  R is at (-5,2).

The red triangle is the reflection.  It has been reflected over the x=axis.  X is at (1,-1).  Y is at (3,-2).  Z is at (2,-5).

Step-by-step explanation:

The green triangle is the rotation.  It is rotated 90 degrees about the origin (0,0).  P is at (-1.1).  Q is at(-2,3).  R is at (-5,2).

The red triangle is the reflection.  It has been reflected over the x=axis.  X is at (1,-1).  Y is at (3,-2).  Z is at (2,-5).

Answer:

Step-by-step explanation:

2a+b^3

2*5.6+(2)^3

11.2+8

19.2

Answer:

19.2

Step-by-step explanation:

2(5.6)+2^3

11.2+8

19.2

Given:

The table of point scored in 5 games.

After game 6, the mean number of points scored per game is 9.

To find:

The points scored by Maya in game 6.

Solution:

Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:

[tex]Sum=8+12+10+6+14+x[/tex]

[tex]Sum=50+x[/tex]

We know that, the formula for mean is:

[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

So, the mean number of points scored per game is:

[tex]\text{Mean}=\dfrac{50+x}{6}[/tex]

It is given that the mean number of points scored per game is 9.

[tex]\dfrac{50+x}{6}=9[/tex]

[tex]50+x=9\times 6[/tex]

[tex]x=54-50[/tex]

[tex]x=4[/tex]

Therefore, the correct option is A.

20 / 12 = 5 / y

y = 5 × 12 / 20

y = 60 / 20

y = 3

Answer:

8.4%

Step-by-step explanation:

let x = interest rate

55,000(1 + x)^16 = 200,000

divide both sides by 55,000

(1 + x)^16 = 3.636

find the invese of 16

1 + x = 1.084

x = 0.084

x = 8.4

Answer:

4.16%/ year

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given  that you have 3 tops: green, white, and yellow, the probability of you wearing  a green shirt p(g)

= 1/3

since you have 2 pairs of pants: blue and black, the probability of you wearing a blue pant p(b)

= 1/2

And you have 2 pairs of shoes: boots and sandals, the probability of you wearing a pair of boots p(bo)

= 1/2

Hence the probability that you will wear a green shirt with blue pants and boots

= 1/3 * 1/2 * 1/2

= 1/12

Answer:

As x → ∞, f(x) → ∞

As x → -∞, f(x) → 3

Step-by-step explanation:

This question is asking for the end behavior of the graph. In this case, as x increases f(x) also increases; therefore, they both approach positive infinity at the same time. Additionally, the horizontal asymptote of the graph is 3. This means that as x approaches -∞, f(x) will approach the asymptote, 3.

Answer:

solution below

Step-by-step explanation:

quadratic formula (note the + before the radical is ±)

[tex]\frac{-b+\sqrt{b^2-4*a*c}}{2a}}[/tex]

Let's plug in the numbers and simply for the first one

[tex]\frac{-(-8)+\sqrt{-8^2-4*2*5}}{2*2}}=\frac{8+\sqrt{24}}{4}}[/tex]

this simplies to

[tex]\frac{8+2\sqrt{6}}{4}=\frac{4+\sqrt{6}}{2}[/tex]

Do this same process with all the other ones

Answer:

a) Mode number = 2

b) Median  = 64.5  = 4 people in car as 0.5 in 64.5 is close to 76

              = 4 people

c) Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with =  3 people

Step-by-step explanation:

45  is 1

198 is 2

121 is 3

76 is 4

52 is 5

13 is 6

Mode we look for the highest frequency and see 198 is the amount and 2 people in car is the subject, we give the subject and that is 2 people in car is the highest frequency and would be the mode.

Median is shown in the answer as we add up.

Mean we add up all frequency and divide by the amount of subjects = 6.

a) Mode number = 2

b) Median = 13, 45, 52, here 76, 121, 198    mid number between

             = (76-52 )/ 2  + (52)= 24 /2 + (52) = 12 + 52 + 0.5 if even number    

median  = 64.5  in a cumulative graph though which is not asked here it would be exactly half of 505 = 257.5 and interquartile we half again and add on 257.5 and show the range values interquartile as 1/2(252.5) and 1/2(252.5+ 505) = 126.25 as one value and 757.5 as the other by drawing a horizontal line from y axis to the points so vertical lines can represnt the cars median and interquartile.

c. Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with 3 seats

For cumulative frequency we can relist numbers like this

45

45 +198 = 243

243 +  121 = 364

364+76 = 440

440 + 52 = 492

492+13 = 505 to plot graph.

But if there was group of measures or time etc then we would always plot the highest of each set for cumulative x axis and use the 2 values to see the ratio for histograms ie) 198/2 = 99 so that all values are read in equal proportions and 2 is a data below the graph not on the graph as 2 does not show as a box count just a name below on x axis. So we have to use the ratio as explained for histograms.

Answer:

Slope intercept form with m= -7

Step-by-step explanation:

Slope intercept form is y=mx+b

where m=slope and b=y-intercept

so

y=-7x+2

Slope (m)= -7

y-intercept = 2

Answer:

58.1

Step-by-step explanation:

Answer:

Your answer is 2.

Answer:

Commutative property of multiplication

Step-by-step explanation:

Properties of Multiplication:

Commutative:

Multiplying two or more factors in a different order.

ex: 2 x 4 x 5 = 2 x 5 x 4

Associative:

Multiplying factors in parenthesis with different grouping. usually to make the problem simpler.

ex: (13 x 4) x 25 = 13 x (4 x 25)

Distributive:

Distributing a multiplicand to factors in parenthesis.

ex: 2(4 - 1) = 2(4) - 2(1)

ex: 2(8+7) = 2(8) + 2(7)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:-2/3 gallon per minute

-2/3 gallon per minute

Step-by-step explanation:

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

Work Shown:

Find the midpoint of the percentages given.

A = 3.9

B = 7.3

C = midpoint of A and B = point estimate

C = (A+B)/2

C = (3.9+7.3)/2

C = 11.2/2

C = 5.60

5.60% is the point estimate

Side note: The margin of error is B-C = 7.3-5.6 = 1.70%, or you could say C-A = 5.6 - 3.9 = 1.70%

The mean percentage of reservations that are canceled on the day of the flight is equal to the 5.60%

We have to determine the midpoint of the percentages given.

A = 3.9

B = 7.3

C = midpoint of A and B = point estimate

C = (A+B)/2

C = (3.9+7.3)/2

C = 11.2/2

C = 5.60

5.60% is the point estimate

Side note: The margin of error is

B-C = 7.3-5.6

B-C= 1.70%, or you could say

C-A = 5.6 - 3.9

C-A= 1.70%

Therefore the midpoint of B and C is 1.70% and the midpoint in between C-A is 1.70%.

To learn more about the midpoint visit:

https://brainly.com/question/5566419

#SPJ2

Answer:

3!!!!!!! ans is 3 ok mark brainluest

Answer:

Doc Tour

Step-by-step explanation:

Answer:

Doc-Tour

Step-by-step explanation:

Answer:

x = 30, y = 15

Step-by-step explanation:

x = 2*15 = 30

(Central angle is twice the inscribed angle standing on the same arc.)

Similarly,

y = 15

(Base angles of isosceles triangle are equal)

Answer:

-(-9) is 9

Step-by-step explanation:

-(-9)

(when there are two negatives multiplyed with eachother, the product will be postive)

+ 9

+ 9  = 9

- ( - 9 ) =

( - 1 ) × ( - 1 × 9 ) =

( - 1 ) × ( - 1 ) × ( 9 ) =

( + 1 ) × 9 =

1 × 9 =

9