a prisms base has a perimeter of 12cm and a height of 2 cm. the area of the base was 5cm. what is the surface area of the prism.

Answers

Answer 1

[tex]\text{Surface Area of Prism} = (2 \times \text{Base Area}) + (\text{Base perimeter} \times \text{height})\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=(2 \times 5)+(12\times 2)\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=10+24\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=34~~ \text{cm}^2[/tex]


Related Questions

The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)

Answers

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, two yellow ones, and four orange ones. Suzan grabs four at random. Find the probability of the indicated event.
She gets at least two red ones, given that she gets at least one green one.

Answers

Using the combination formula and the probability concept, it is found that there is a 0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, the order in which the marbles are taken is not important, hence, the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

2 red from a set of 3.1 green from set of 3.1 from a set of 1 + 2 + 1 + 2 + 4 = 10.

Hence:

[tex]D = C_{3,2}C_{3,1}{C_{10,1}} = \frac{3!}{2!1!} \times \frac{3!}{1!2!} \times \frac{10!}{1!9!} = 90[/tex]

Total outcomes:

Four marbles are taken from a set of 13, hence:

[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]

Then, the probability is:

[tex]p = \frac{D}{T} = \frac{90}{715} = 0.1259[/tex]

0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

To learn more about the use of the combination formula and the probability concept, you can check combination formula and the probability concept,

what are the first 6 numbers of pi

Answers

Step-by-step explanation:

3.141592653............

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.

Answers

Answer:

the answer is in the site faith mate is the same question and in that site have the response np

8 with an exponent of 2 +9(12 divided by 3 x 2)-7 simplify with steps please

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf {8}^{2} + 9(12 \div 3 \times 2) - 7[/tex]

[tex] \sf64 + 9(4 \times 2) - 7[/tex]

[tex] \sf64 + 9(8) - 7[/tex]

[tex] \sf64 + 72 - 7[/tex]

[tex] \sf136 - 7[/tex]

[tex] \sf129[/tex]

Ann received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.04 per pound. After buying the coffee, she had $65.88 left on her
card. How many pounds of coffee did she buy?
pounds
5
?

Answers

Answer:

3 lbs of coffee

Step-by-step explanation:

$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)

24.12/8.04 = 3

Answer:

3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.

How do you do the work on this problem I’ve been stuck in it for a couple hours now.

Answers

56.2 m

Step-by-step explanation:

We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,

[tex]\dfrac{dy}{dt} = 0[/tex]

then solve for the time t that satisfies the equation above. The expression for the height y is

[tex]y = 60t - 16t^2[/tex]

Taking the derivative of this expression, we get

[tex]\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}[/tex]

This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get

[tex]y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}[/tex]

Try to find the slope

Answers

Answer:

-11/14.

Step-by-step explanation:

Slope =(y2-y1)/ (x2 - x1)

Here y2 = 7 and y1 = -4, x2 = -7 and x1 = 7.

So slope

= (7 - (-4)/ -7-7)

= -11/14.

For what values of r will the area of the shaded region be greater than or equal to 12 square units? Write your answer as an inequality.

Answers

Answer:

r>=12

Step-by-step explanation:

solve the compound inequality 2(x-2)+7>-1 and 5-4x>9

Answers

Answer:

1) x > -2

2) x < -1

Step-by-step explanation:

1) 2(x - 2) + 7 > -1

2x - 4 + 7 > -1

2x + 3 > -1

2x > -4

x > -2

2) 5 - 4x > 9

-4x > 4

x < -1

Choose the symbol that correctly compares these mixed numbers.

Answers

Answer:

It is 7 2/11 is less then 7 4/10

Step-by-step explanation:

You do not have to worry about the whole number because they are the same. You have to compare the fractions, so if comparing fractions 10 is less then 11 so 1/10 has a larger space then 1/11. That is how i got the answer. Hope this helps. Am I right?

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

[tex]7 \frac{2}{11} < 7 \frac{4}{10} [/tex]

Answer: B

Factor: 3x4y3 – 48y3

Answers

Answer: 4y3(1x1 - 12)

3x4y3 – 48y3

4y3(1x1 - 12)

classify the following number 8.4444

Answers

Answer:

rational number

Step-by-step explanation:

Natural numbers:

This is every number in the sequence 1, 2, 3, 4...

Whole numbers:

This is all of the above, but it also includes 0.

Integers:

All of the above, but this also includes negative numbers.

Rational numbers:

A rational number is any number than can be represented as a fraction of 2 integers. All of the above are also rational numbers, and below are some other examples:

[tex]1.125, \frac{1}{3}, -5\frac{2}{7}[/tex]

Irrational numbers:

Basically anything that wasn't covered above. These cannot be represented as a fraction of 2 integers.

[tex]\pi, \sqrt{3}[/tex]

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

You don't make it clear if this is a repeating decimal or not, but either way, this is a rational number as you can represent it as a fraction:

[tex]8.4444=\frac{21111}{2500}[/tex]

In the case that it was a repeating decimal, those are also rational numbers. Take this for example:

[tex]0.3333333...[/tex]

This is rational:

[tex]\frac{1}{3}=0.333333...[/tex]

The price of a bicycle is $108.00 plus 7% sales tax. What is the sales tax on this bicycle in dollars and cents?

Answers

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

Find the exact value of sin^-1(-√3/2)

Answers

Answer:

  -60°

Step-by-step explanation:

Your calculator and/or your knowledge of trig function values can find this for you.

The arcsine function has a range of -90° to +90°. Positive angles 240° and 300° will also have the sine value -√3/2.

  arcsin(-√3/2) = -60° = -π/3 radians


Determine whether a triangle with the given side lengths is a right triangle.

Answers

Answer:

yes yes no no

Step-by-step explanation:

use the Pythagorean theorem. sub a^2+b^2=c^2.

c is the largest number, and you can plug the 2 other values into a and b.

rewrite in simplest terms -8(-10u+6u-7)-10u

Answers

Answer:

22u + 56

Step-by-step explanation:

-8(-10u + 6u - 7) - 10u

1.) Combine like terms

-8(-10u + 6u - 7) - 10u

-8(-4u - 7) - 10u

2.) Distribute

-8(-4u - 7) - 10u

-8(-4u) -8(-7) - 10u

32u + 56 - 10u

3.) Combine like terms

32u + 56 - 10u

22u + 56

Therefore, the simplified equation is 22u + 56.

Answer:

22u+56

Step-by-step explanation:

1. simplify each term:

32u+56−10u

2. Subtract 10u from 32u.

22u+56

Hope this helps :)

3(y+8)=2y-6 what is y=

Answers

Answer:

y = -30

Step-by-step explanation:

3 (y + 8) = 2y - 6

3y + 24 = 2y -6                Distribute the 3

y + 24 = -6                       Subtract 2y on both sides

y = -30                              Subtract 24 on both sides

In a cookie jar,
1
5
of the cookies are chocolate chip and
1
2
of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Which tape diagram shows the cookies that are chocolate chip?

All cookies
Chocolate
chip

All cookies
Chocolate
chip

All cookies
Chocolate
chip
Excellent!
Which tape diagram shows the cookies that are peanut butter?

All cookies
Chocolate
chip
Peanut
butter

All cookies
Chocolate
chip
Peanut
butter

All cookies
Chocolate
chip
Peanut
butter
Good work!
Use the tape diagram to solve.

Answers

well, a WHOLE is 1, which we can split in many fractions, say 5/5, 10/10 or 999/999 and so on.

we know 1/5 of the jar is chocolate chip, and there's the rest, well, the Whole jar in 5ths have to be 5/5, if we take away 1/5 from 5/5, the "rest" is 5/5 - 1/5 = 4/5.

now, we also know that 1/2 of the "rest" is peanut butter, or namely that 1/2 of 4/5 is peanut butter, how much will that be?  let's divide 4/5 by 2

[tex]\cfrac{4}{5}\div 2\implies \cfrac{4}{5}\div \cfrac{2}{1}\implies \cfrac{4}{5}\cdot \cfrac{1}{2}\implies \cfrac{4}{10}\implies \cfrac{2}{5}[/tex]

On Tuesday morning a school cafeteria served 18 gallons of orange juice during breakfast. How many cups are in 18 gallons?

A.288 cups
B.64 cups
C.2,048
D.128 cups

Answers

Answer:

A

Step-by-step explanation:

288 cups did this before

Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76

Answers

0.76 is the median.

What is the length of XY?

Answers

Answer:

  XY = 11.25

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  XY/5 = 18/8

  XY = 5(9/4) = 45/4

  XY = 11.25


[tex]{ \color{darkred}{(2+√3)+(4-√3)}} = ?[/tex]
︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎​

Answers

[tex](2 + \sqrt{3} ) + (4 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 4 - \sqrt{3} \\ = 2 + 4 \\ = 6[/tex]

Answer:

6

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(2 + \sqrt{3} ) + (4 - \sqrt{3}) [/tex]

[tex] \sf2 + \cancel {\sqrt{3} } + 4 - \cancel{\sqrt{3} }[/tex]

[tex] \sf6[/tex]

The figure shown is to be painted on a road sign. Which of the following best describes the two polygons that form the figure?

A. A rectangle and an isosceles trapezoid
B. A rectangle and a rhombus
C. A rectangle and a parallelogram
D. A rectangle and an isosceles triangle​

Answers

Answer:

D: A rectangle and an isosceles triangle​

Step-by-step explanation:

A recangle for the base of the arrow, and an isosceles triangle​ to form the full arrow.

The answer will be option D which is a rectangle and an isosceles triangle.

What is an isosceles triangle?

The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.

As we can see in the figure there are one isosceles triangle and a rectangle are joined together to form an arrow.

Thus the answer will be option D which is a rectangle and an isosceles triangle.

To know more about the isosceles triangle follow

https://brainly.com/question/1475130

#SPJ2

Okie 3 more questions and I’m done with math please please please

Answers

Answer:

6x - 20 = 4x + 50

2x = 70

x = 35

In John's closet we find: 3 shirts (1 blue, 1 red, 1 black) 2 pairs of pants (1 blue, 1 black) 2 pairs of shoes (1 black, 1 blue) Create a sample space of the possible outcomes of clothes combinations that John might wear (assuming he always wears a shirt, pair of pants, and pair of shoes). What is the complement of the P(John wears something red).

Answers

Using it's concept, the sample space for the experiment is:

{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}The complement of P(John wears something red) is he wearing a Blue or Black shirt, along with any combination for the pants and the shoes.

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

For the shirt, there are three possible outcomes: Blue, Red, Black.For the pants, there are two possible outcomes: Blue, Black.For the shoes, there are two possible outcomes: Black, Blue

Hence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:

{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}

The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.

You can learn more about sample space at https://brainly.com/question/25861936

Given that

P

=

x

+

y

.

Find

P

when:

x

=

3

and

y

=



11

Answers

Answer:

-8

Step-by-step explanation:

3-11=-8

Answer:

8

Step-by-step explanation:

The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible

Answers

The different selections of one meat and one vegetable are possible are 18 selections.

Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.

Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.

So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6

= 18 selections

So, the different selections of one meat and one vegetable are possible are 18 selections.

Learn more about combination here:

https://brainly.com/question/19341024

True or false



Plz help​

Answers

[tex]0 - (-\frac{31}{43})=0+ \frac{31}{43}=\frac{31}{43}[/tex]

ANSWER : true

ok done. Thank to me :>

Answer:

True

Step-by-step explanation:

[tex]0 - ( - \frac{31}{43} ) \\ 0 + \frac{31}{43} \\ = \frac{31}{43} [/tex]

how do i get the answer for this problem. 2x+2x+2=4x+2

Answers

Combine like terms

Subtract 2 from both sides of the equation

Simplify

Subtract 4 from both sides of the equation

Simplify

Then your answer should be 0=0
Other Questions
In what way does the Israeli government support illegal settlements in Palestine territory? 1. Reread Scene i, lines 10-34. What factors are controlling Brutus' justification for killingCaesar? and do you agree with his justification?tion WHY IS IT IMPORTANT TO STAY FIT. please need your help I need help with This excel chart. I don't know how to divide all the rows and columns.In column F, enter formulas that use a function to calculate % Caught with Table (fish caught with Table hook divided by the total number of fish caught).Format the % Caught with Table values as a percent with one decimal place. what were the conditions during the 1600s and 1700s? Troy is buying a car that costs $15,000. Heplans to get a 5-year loan to pay for it. Hecan get a loan for $15,000 or he can pay$3,000 from his savings and get a loanfor the rest. The savings account pays 2%simple interest per year. The simple interestrate for the loan is 0.5% per year.a. How much interest over a 5-year Need help on True or False PLEASE answer!!!! The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.] Combine the like terms to create an equivalent expression4q-(-8p)+10 Pb2O4 has a ratio of 2:4. It needs to be reduced to?A.) 1:0B.) 2:0C.) 1:2D.) 2:2 Helpp you will get a brainly 14. An engine is brought into the shop with abackfiring problem. Technician A says thiscan be the result of a cracked distrib-Technician B says this problem canbe the result of a faulty carburetor acceleratorpump. Who is right?problemutor cap.he1.(A) A only.(B) B only.(C) Both A and B.(D) Neither A nor B. C.J can shoot 36 shots in 3 minutes enter the number of shots C.J can shoot in 1 minute Define multiple point perspective. Is the image below an example of multiple point perspective? Why? What are the domain and range of the function below? (In picture) What is CdK?A. A protein substrateB. An enzyme Which statement best describes a major difference in the quality of weather information contained in a daily forecast and a long-range forecast? *1 pointInformation contained in a daily forecast is more accurate than the information included in a long-range forecast.Information contained in a daily forecast is more general than the information included in a long-range forecast.Information contained in a daily forecast is less scientific than the information included in a long-range forecast.Information contained in a daily forecast is less dependable than information included in a long-range forecast. what is the mood of the first three stanzas? in the poem of Aximu's awakening? plss some one help me In the years before 1860, the most serious sectional conflicts developed between people in the North and people in the South. a. true b. false12 Answer: The free black population of the North was larger than the slave population of the South. a. true b. false13 Answer: The economy of the South was based on large plantations that grew cotton, tobacco, rice, and sugar cane. a. true b. false14 Answer: The invention of the cotton gin reduced the need for slaves. a. true b. false15 Answer: The idea of states' rights was more strongly supported in the South than in the North. a. true b. false16 Answer: Slaves had the same rights held by other people except that they were unable to change jobs. a. true b. false17 Answer: The Missouri Compromise and the Compromise of 1850 were attempts by the federal government to settle the issue of slavery in politics. a. true b. false18 Answer: Under the Fugitive Slave Act, a black person could have a trial to prove that he or she was not an escaped slave. a. true b. false19 Answer: The new Republican party was opposed to both the spread of slavery into the territories and the existence of slavery in the states. a. true b. false20 Answer: Sectional interest was a major factor in the Election of 1860. a. true b. false HELP WITH HISTORYStudy the table on the progression of World War I. Then answer questions about it.