Find the surface area of the triangular prism shown below.

Find The Surface Area Of The Triangular Prism Shown Below.

Answers

Answer 1

Answer:

150ft²

Step-by-step explanation:

surface area = (2×½×8×3)+(8+5+5)×7

= 24+126

= 159 ft²


Related Questions

I need help I’m confused

Answers

Answer:

1.15x10^12

Step-by-step explanation:

Find the value of x. Round the lengths to the nearest tenth of a unit.


Please help!

Answers

Answer:

the other angle equal 52

we can use the specail trangle 3 4 5

300 400 500

the 38 degrees angle meet 300

and the 52 degrees angle meet 400

so the answer is 300 i dont know if you understand but i hope you are

pls ask in the comments and i will try to explain because my ebgilish the baddest

The final three questions

Answers

5×45= 225

12×23= 276

276+225= 501

the answer is 501 ^^

Answer:

501

Step-by-step explanation:

my brain duh big brain me little brain you

You take Rocky to the Del Mar fair. His mom gives him $30 to spend. It costs $13 to get in and the $2 for every ride. How many rides can he ride?
Answe r with the system of equations. Please help me.

Answers

Answer:

8 rides

Step-by-step explanation:

$30-$13

=$17

1 ride= $2

x ride =$17

x= 17/2

= 8.5

= 8 rides

You take Rocky to the Del Mar Fair. His mom gives him $30 to spend.

It costs $13 to get in and $2 for every ride. he can ride 8 rides.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

You take Rocky to the Del Mar Fair. His mom gives him $30 to spend.

It costs $13 to get in and $2 for every ride.

$30 - $13

= $17

Let x be the ride he can rides.

1 ride = $2

x ride = $17

x = 17/2

= 8.5

= 8 rides

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What is the midline of this function? y=  
  What is the amplitude of this function?     Define a function, g, to represent the behavior of the graphed function. g(a)=
NO LINKS. ​

Answers

Answer:

Midline is at y = 0

Amplitude is; A = 1.5

g(a) = 1.5 sin 0.5x

Period = 4π

Max value; y = 1.5

Min value; y = -1.5

Step-by-step explanation:

From the graph, we know that amplitude is highest point of the graph which is 1.5.

Thus, A = 1.5

Now,period from the graph is distance between where the graph repeats which in this case is 2π + 2π = 4π

Now, equation of this curve is;

y = A sin(B(x + C)) + D

Where;

A is amplitude

B is 2π/period = 2π/4π = ½

C is phase shift

D is vertical shift

The function g(a) that will represent the behavior of the graphed function would be gotten by Plugging in the relevant values but in this case, there are no phase shifts or vertical shifts. Thus, C = D = 0

g(a) = 1.5 sin 0.5x

Midline is the point between the maximum and minimum values.

Max value is at y = 1.5

Min value is at y = -1.5

Midline of both from the graph is at x = -π/2 which is at y = 0

If f(x)=x^3−5x^2−2x+24 and (x+2) is a factor, what are the remaining factors?

Factor 1:
Factor 2:
Factor 3:

Answers

Answer:

(x+2), (x-4), (x-3)

Step-by-step explanation:

Use the rational root theorem to get started, then factor the remaining quadratic to find:

x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)

Explanation:

Let  f(x) =x^3 − 5x^2 − 2x + 24

By the rational root theorem, any rational zeros of  f(x)  must be expressible in the for p/q for integers p, q with p a divisor of the constant term 24 and q a divisor of the coefficient 1 of the leading term.

That means that the only possible rational zeros are the factors of 24, namely:

± 1, ± 2, ± 3, ± 4, ± 6, ± 12, ± 24

Try each in turn:

f(1) = 1 − 5 − 2 + 24 = 18

f(−1) = −1 − 5 + 2 + 24 = 20

f(2) = 8 − 20 − 4 + 24 = 8

f(−2) = −8 − 20 + 4 + 24 = 0

So  x = −2  is a zero and (x + 2) is a factor.

x^3 − 5x^2 − 2x + 24 = (x + 2)(x^2 − 7x + 12)

We can factor  

x^2 − 7x + 12 by noting that 4 × 3 = 12 and 4 + 3 = 7, so:

x^2 − 7x + 12 = (x − 4)(x − 3)

Putting it all together:

x^3 − 5x^2 − 2x + 24  =  (x + 2)(x − 4)(x − 3)

Catherine sells bags of popcorn at the theatre. The bags come in three sizes.
small
60g
£1.49
medium
150g
£3.99
large
250g
£5.99
Catherine thinks the medium bag of popcorn is the best value for money.
Is the medium bag of popcorn the best value for money?
Use the space below to show clearly how you get your answer​

Answers

Answer:

The answer is the most reasonable one which I think large is

Step-by-step explanation:

Because it's only 100 grams more and $2 bucks seems like a good deal

Find an expression witch represents the difference when (10x-8y) is subtracted from (-4x-9y) in the simplest form

Answers

Answer:

ye

Step-by-step explanation:

factorise: 18x - 42y + 30z

Answers

Answer:

divide by 6

6 ( 3x - 7y + 5z )

A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey that attended college is randomly selected what is the probability that they also lived in 2 or more states during their life? P(2 state or more | College Degree)

Answers

This question is incomplete, the complete question is;

A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey that attended college is randomly selected what is the probability that they also lived in 2 or more states during their life? P(2 state or more | College Degree)

                                             Lived in just             Lived in 2 or               Total

                                                1 state                     more states

No High School Diploma           6                                 2                           8

High School Diploma                 14                               16                          30

College Degree                           2                               18                          20

Total                                            22                             36                           58

Options;

a) 0.111

b) 0.310

c) 0.500

d) 0.900

Answer:

The required probability is 0.9

Option d) 0.900 is the correct answer.

Step-by-step explanation:'

Given the data in the question;

Total number of people in the survey or sample size n = 58

Number of people with college degree who live in 2 or more state = 18

P(2 states or more and college degree) = Number of people with college degree who live in 2 or more state / Total number of people in the survey

P(2 states or more and college degree)  = 18 / 58

Also, Total number of people with college degree = 2 + 18 = 20

so, P( College Degree ) =  Total number of people with college degree / Total number of people in the survey

P( College Degree ) = 20 / 58

Therefore, P(2 state or more | College Degree) will be;

⇒ P(2 states or more and college degree) / P( College Degree )

⇒ ( 18 / 58 ) / ( 20 / 58 )

⇒ ( ( 18 / 58 )58 ) / 20

⇒ (( 18 × 58 ) / 58 ) / 20

⇒ 18 / 20

0.9

Therefore, The required probability is 0.9

Option d) 0.900 is the correct answer.

 

Put these in order from least to greatest!: 6.879, 137/20, 6 10/11, 5.89
Thank you!!

Answers

Least To Greatest:
5.89
137/20
6.879
6 10/11

What is the equation of the line that is perpendicular to line y= -2x+11 and crosses
point (-6, 8)?
y = 1 /2x
y = 1/2x -21
y = 1/2x – 10
y =1/2x + 11

Answers

Answer:

[tex]slope \ of \ y = -2x + 11, m_{1} = -2\\\\Let \ the \ slope\ of \ the \ new \ line \ be \ m_{2} \\\\ Since \ the \ line \ is \ perpendicular \ to \ the\ given \ line, m_{1} \cdot m_{2} = -1\\\\-2 \cdot m _{2} = -1\\ \\m _{2} = \frac{1}{2} \\\\Equation \ of \ the \ line \ passing \ through (-6, 8) \ slope = \frac{1}{2} \\\\(y - y_{1}) = m_{2}(x-x_{2} )\\\\(y-8) =\frac{1}{2} (x-(-6))\\\\y -8 =\frac{1}{2} (x+6)\\\\y = \frac{1}{2}x +3 +8\\\\y =\frac{1}{2}x + 11[/tex]

option 4

Determine the point that would partition the segment from \large \left(-2,3\right)to \large \left(5,-4\right)into a ratio of \large 2:3

Answers

Answer:

Partitioning a line segment, AB, into a ratio a/b involves dividing the line segment into a + b equal parts and finding a point that is a equal parts from A and b equal parts from B. When finding a point, P, to partition a line segment, AB, into the ratio a/b, we first find a ratio c = a / (a + b).

Step-by-step explanation:

I copied it from internet and did this one answer in my today's test so I can't guarantee it's correct but say let's wait##

What is the lead coefficient of the polynomial below?
3x^2+ 8x + 5

Answers

Answer:

The lead coefficient is 8

Step-by-step explanation:

This is because it is the biggest number that is right before the x or that is the coefficient.

The leading coefficient of the polynomial is given by C = 3

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = 3x² + 8x + 5

On simplifying the equation , we get

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the polynomial 3x² + 8x + 5 has a term with degree 2 (the x² term) and the coefficient of that term is 3

Hence , the lead coefficient of this polynomial is 3

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What are 3 numbers that make this inequality True? 4x-9 > 27

Answers

Answer:

10, 11, 12

Step-by-step explanation:

simplify the inequlity:

=> 4x > 36

=> x > 9

x = 10, 11, 12...

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Answers

Answer:

4/ 7-4

Step-by-step explanation:

help i dont understand this

Answers

Answer:

it's b 12 i think

Step-by-step explanation:

The answer is B- 12. This is because 2 times 6 is 12. Like 5 times 6 was 30. 12/30.

One thousand six hundred fifty tickets
were sold at Friday night's football
game. Each adult ticket cost $3.50,
and each student ticket cost $2.00. The
total revenue for ticket sales was
$4,650. Write the pair of equations that
represent the number of a (adult)
tickets and s (student) tickets.

Answers

Answer:

a+s=1650, 3.5a+2s=4650

Step-by-step explanation:

a=adult, s=student

a+s=1650 equation 1

3.5a+2s=4650 equation 2

Find the surface area of the prism.

Answers

s = 2b + PH  

s =  4(3 * 4) + (8)(96) =

s = 4(12) + (8)(96)

s =  48 + (8)(96)

s = 48 + 768

s =  816

A researcher reported that 71.8% of all email sent in a recent month was spam. A system large corporation believes that the percentage at his company may be 77 % . He manager at a examines a random sample of 500 emails received at an email server, and finds that 361 of the messages are spam.

Required:
Can you conclude that less than 77% of emails are spam?

Answers

Answer:

p-value = 0.0054

at 0.05 level  of significance ∝

p-value ( 0.0054 ) is less than significance level ∝ ( 0.05 )

Thus we Reject Null hypothesis  H₀

Hence, there is enough evidence to conclude that less than 77% of emails are spam.

Step-by-step explanation:

Given the data in the question;

Sample size n = 500

x = 361

p₀ = 77% = 0.77

q₀ = 1 - p₀ = 1 - 0.77 = 0.23

p = x / n = 361 / 500 = 0.722

Hypothesis;

Null hypothesis             H₀ : p ≥  77% or 0.77

Alternative hypothesis Hₐ : p ≥  77% or 0.77

Test Statistic

z = ( p - p₀ ) / √( ( p₀ × q₀ ) / n )  

so we substitute

z = ( 0.722 - 0.77 ) / √( ( 0.77 × 0.23 ) / 500 )  

z = -0.048 / √( 0.1771 / 500 )  

z = -0.048 / √0.0003542  

z = -0.048 / 0.01882

z = -2.55

so our p-value will be;

p-value = p( z < -2.55 ) {from table }

p-value = 0.0054

at 0.05 level  of significance ∝

p-value ( 0.0054 ) is less than significance level ∝ ( 0.05 )

Thus we Reject Null hypothesis  H₀

Hence, there is enough evidence to conclude that less than 77% of emails are spam.

Simplify the expression
-2(5z -7)

Answers

-10z+14 would be the simplified answer

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You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?

Answers

Answer: 3¼ hours

Step-by-step explanation:

Number of hours used in baking = 2¾ hours

Number of hours used in cleaning up the kitchen = ½ hour

Therefore, the time used in the kitchen will be the addition of the time used in baking plus the time used in cleaning the kitchen which will be:

= 2¾ + ½

= 2 3/4 + 2/4

= 2 5/4

= 2 + 1¼

= 3¼ hours

Therefore, 3¼ hours was used in the kitchen.

Solve the system of equations below by graphing. Y=-5x and y=x-6

Answers

9514 1404 393

Answer:

  (x, y) = (1, -5)

Step-by-step explanation:

Using a graphing calculator to solve equations such as these is quick and easy. It is one of my favorite methods. The attached graph shows the solution is ...

  (x, y) = (1, -5)

A tank contains 40 gallons of a solution composed of water and bleach. At the start there are 4 gallons of bleach in the tank. A second solution containing half water and half bleach is added tothe tank at the rate of 4 gallons per minute. The solution is kept throughly mixed and drains from the tank at the rate of 4 gallons per minute.
(a) How much blcach is in the tank after t minutes?
(b) Will there be at least 14 gallons of bleach in the tank after 10 minutes?
(c) How much bleach will there be in the tank after a very long time has passed?

Answers

Answer:

a) x* e∧ t/10  =  20 *e∧ t/10 + 2

b) x  =  14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank

c) After a very long time we will find 20 gallons of bleach in the tank

Step-by-step explanation:

The variation of bleach in water in the tank is Δ(x)t:

Δ(x)t  = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt

Now the amount of x added to the tank is:

Rate of adding* the concentration

Rate of adding =  4 gallons per minute

Concentration  half and half ( water + bleach)  = 0,5

Rate of draining =  4 gallons per minute

Concentration of draining: Unknown but can be expressed as:

x(t)/40. According to this

Δ(x)t  =  [4 * 0,5  -  4 * x(t)/40]*Δt

Dividing by Δt on both sides of the equation and tacking limits we get

dx/ dt    =  2  - x / 10

dx/dt + x/10 =2

Multyiplying by e∧ t/10 on both sides

e∧ t/10* [ dx/dt  +  x/10 ]  =  2 *e∧ t/10

To solve it, integrating the first member is

x* e∧ t/10  =  20 *e∧ t/10 + C

for initial condition t = 0

4    =  20 + C

C = -16

a) x* e∧ t/10  =  20 *e∧ t/10 - 16

b) in 10 minutes

x* e∧ t/10  =  20 *e∧ t/10 - 16

x *e  =  20*e  - 16

x   =   20  -  16/e

x   =  20  -  16/2,718

x   =   20 -  5,88

x  =  14,2  gallons.

c) After a very long time we will find 20 gallons of bleach in the tank

15. Solve for the specified variable:
-
х
+
7 8
- 10; for y.

Answers

Answer:

[tex]y=80-\frac{8x}{7}[/tex]

Step-by-step explanation:

15). Given equation is,

     [tex]\frac{x}{7}+ \frac{y}{8}=10[/tex]

     Multiply the equation by 8,

     [tex]8(\frac{x}{7}+ \frac{y}{8})=10\times 8[/tex]

     [tex]\frac{8x}{7}+y=80[/tex]

     Subtract [tex]\frac{8x}{7}[/tex] from both the sides of the equation,

     [tex]\frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}[/tex]

     [tex]y=80-\frac{8x}{7}[/tex]

     Therefore, value of the variable 'y' will be,

     [tex]y=80-\frac{8x}{7}[/tex]

PLEASE HELP!!!
Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 12.4 cm, s = 18 cm
The area is
cm2

Answers

Answer:

496 cm²

Step-by-step explanation:

Area of polygon :

A = 1/2(p * a)

P = perimeter

a = apothem

Perimeter = 5s (pentagon)

s = side length = 18

P = 5 * 18 = 80 cm

a = 12.4

A = 1/2(80 * 12.4)

A = 1/2(992)

A = 496 cm²

The table shows the record low temperatures In Juneau, Alaska for each of the 12 months of the year in degrees F.
Record Low Temp
Month
Year
(in °F)
January
-22
1972
February
-22
1968
March
-15
1972
April
6
1963
May
25
1972
June
31
1971
July
18
1895
August
27
1948
September
23
1972
October
11
1984
November
-5
2006
December
-21
1941
According to the data, what is the range of the record low temperatures in Juneau, Alaska?
O A. -22°
OB. 4.67°
D. 31°
E. 539
O c. 8.50

Answers

Answer:

i think -22

Step-by-step explanation:

WILL




GIVE




BRAINLISTTT
WHAT DO I DO HERE


.

Answers

answer:

below is a sample of a bar graph

step-by-step explanation:

label the bars according to the color they correspondlet me know if you need more explanation

Answer:

I identified it by color, but you must specify it by names because it is difficult for me to write on that program

A quadrilateral must be a parallelogram if
(1) one pair of sides is parallel and one pair of angles is congruent
(2) one pair of sides is congruent and one pair of angles is congruent
(3) one pair of sides is both parallel and congruent
(4) the diagonals are congruent

Answers

Answer:

Square

Step-by-step explanation:

13. Your school is sponsoring a charity race. Which set of numbers best describes the number of people
who participate in the race?
a. Natural numbers
c. Rational numbers
b. Integers
d. Irrational numbers

Answers

Answer:c

Step-by-step explanation:

The set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.

What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, .... Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex]integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.Irrational numbers are those real numbers which are not rational numbers. Example: [tex]\pi, \sqrt{2}[/tex] etc.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

The count of people participating in the race is going to be in integers, but only non-negative.

Actually the correct option would be 'whole numbers' (whole numbers are 0, 1, 2, ... so they include 0 in addition to natural numbers). It is because it may be that no one participates in the race.

But for the given condition, assuming that at least 1 person participates in the race, we deduce that the number of people participating in race is needed to be a natural number. (as people's count can't be negative, or in fractions, or irrational(which doesn't include integers at all) ).


Thus, the set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.

Learn more about natural numbers here:

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