What is the surface area of the prism?

What Is The Surface Area Of The Prism?

Answers

Answer 1

Step 1: Find the area of the bases (triangles)

A = 1/2 * base * height

A = 1/2 * 16 * 6

A = 48

48 + 48 = 96

Area of the triangles = 96 cm^2

Step 2: Find the area of the sides (rectangles)

A = base * height

A1 = 16 * 12

A1 = 192

A2 = 10 * 12

A2 = 120

120 + 120 = 240

240 + 192 = 432 cm^2

Step 2: Add the areas together

96 + 432

528 cm^2

Hope this helps!! :)


Related Questions

Find the mean of the following data set 5,9,3,12,14,67,22,45,1,12,14

Answers

Answer:

18.5 i believe

Step-by-step explanation:

sorry if im wrong, have a great day!!

Kurtosis of a normal data distribution is a ___________________ Group of answer choices Measure of data centrality Measure of data quality Measure of data shape Measure of data dispersion

Answers

Answer:

Option A, Measure of data centrality

Step-by-step explanation:

Normal distribution curve determines the skewness of the data as to what extent is is disoriented from the normal distribution curve. Also, it is the probability distribution curve that determines whether the data set is two legged, one legged or it lies under which probability curve.

Hence option A is correct

Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
A.
B.
C.
D.

Answers

Answer:

C

It is the only point that connects the two lines

What is the greatest common factor of the two terms


24x^6 and 18x^4


30x^3y^5 and 25x^2y

Answers

24x⁶ and 18x⁴ —> 6x⁴

30x³y⁵ and 25 x²y —> 5x²y

This question is asking what is the missing term can someone help please.

Answers

Answer:

-4

Step-by-step explanation:

From the question, we can deduce that the algebraic expression is a multiplication of a number and a variable.

First instance;

Number = +1

variable= x

Output = -4

+1 * x = -4

x = -4/1 = -4

Second instance;

Let the unknown number be y.

Number = y

variable= 2x

Output = -8x

y * 2x = -8x

y = -8x/2x

y = -4

Check:

2x * -4 = -8x

Determine the following indefinite integrals. Check your work by differentiation.

∫4x^1/3-x^-1/3dx

Answers

Answer:

[tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 3x^\bigg{\frac{4}{3}} - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

IntegralsIndefinite IntegralsIntegration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = \int {4x^\bigg{\frac{1}{3}}} \, dx - \int {x^\bigg{\frac{-1}{3}}} \, dx[/tex][1st Integral] Rewrite [Integration Property - Multiplied Constant]:             [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 4\int {x^\bigg{\frac{1}{3}}} \, dx - \int {x^\bigg{\frac{-1}{3}}} \, dx[/tex][Integrals] Reverse Power Rule:                                                                   [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 4 \bigg( \frac{3x^\bigg{\frac{4}{3}}}{4} \bigg) - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]Simplify:                                                                                                         [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 3x^\bigg{\frac{4}{3}} - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]

Step 3: Check

Differentiate the answer.

Rewrite [Derivative Property - Addition/Subtraction]:                                 [tex]\displaystyle \frac{d}{dx} \bigg[ 3x^\bigg{\frac{4}{3}} \bigg] - \frac{d}{dx} \bigg[ \frac{3x^\bigg{\frac{2}{3}}}{2} \bigg] + \frac{d}{dx} \bigg[ C \bigg][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle 3\frac{d}{dx} \bigg[ x^\bigg{\frac{4}{3}} \bigg] - \frac{3}{2}\frac{d}{dx} \bigg[ x^\bigg{\frac{2}{3}} \bigg] + \frac{d}{dx} \bigg[ C \bigg][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle 3 \bigg( \frac{4}{3}x^\bigg{\frac{1}{3}} \bigg) - \frac{3}{2} \bigg( \frac{2}{3}x^\bigg{\frac{-1}{3}} \bigg)[/tex]Simplify:                                                                                                         [tex]\displaystyle 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}}[/tex]

∴ we have found the answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Confusion .. help please

Answers

Answer:

2

Step-by-step explanation:

We are to determine the value of KM which is adjacent to angle 35. we also have the value for the hypotenuse. Thus we would use COS

Cos 35 = adjacent /hypotenuse

0.8192 = adjacent / 123

adjacent = 0.8192 x 123 = 100.7557 cm

100.8 cm

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

round 8,437 to the nearest whole number

Answers

Answer:

the answer is 8,000.

Step-by-step explanation:

can someone please help me with this​

Answers

Answer:

Surface Area = 139.4 (rounded to nearest tenth)

I NEEED HELPPPPPPPPP!!!!!

Answers

I believe the answer would be 50

the circle below is centered at (-1,1) and has a radius of 3. what is its equation?

Answers

Answer:

[tex](x+1)^2 + (y-1)^2 = 9\\\\or\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]

Step-by-step explanation:

[tex](x +1 )^2 + (y -1)^2 = 3^2\\\\x^2 +2x +1 + y^2 + 1 -2y = 9\\\\x^2 + y^2 +2x -2y +2 -9 = 0\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]

i need this done fast

Answers

Answer: 1) V≈1244.07 in             2) V≈54286.72 ft         3) V≈23816.41 yd

Step-by-step explanation:

The two way table shows the results of a survey that asked high school students whether they have a job.

Answers

(a) 50%
(b) 17%

Explanation:

(a)
No. of seniors = 54 + 46 = 100
Total No. = 66 + 34 + 54 + 46 = 200

% of seniors = 100/200 x 100% = 1/2 x 100% = 50%

(b)
No. of juniors that do not have a job = 34
Total No. = 66 + 34 + 54 + 46 = 200

% of juniors that do not have a job = 34/200 x 100% = 17/100 x 100% = 17%

Rachel ate 1 4/6 brownies, and brandy ate 6/7 of a brownie. how many brownies did they eat altogether?​

Answers

Answer:

53/21 OR 2 11/21

Step-by-step explanation:

1 4/6 + 6/7

Change 1 4/6 into an improper fraction

1 4/6 6x1= 6+4= 10/6

Simplify 10/6 --> 5/3

5/3+ 6/7

find a common denominator (21)

35/21+18/21= 53/21

mixed number form is 2 11/21

Answer:

[tex]2 \frac{11}{21}[/tex]

Step-by-step explanation:

1 4/6 + 6/7 = 2 11/21

Hi I need help plz help

Answers

Answer: 120

Step-by-step explanation:

5/3 X 4/3 X 2= 40/9

40/9 Divided by 1/3

40/3

Help me please I’m begging worth 40 points!!!!!

Answers

I think the answer is (a).

Suppose that inches of wire costs cents.
At the same rate, how many inches of wire can be bought for cents?

Answers

Answer:

11 inches

Step-by-step explanation:

Given :

15 in of wire = 90 cents

At the same rate :

x inch of wire = 66 cents

Cross multiply :

90x = 15 * 66

90x = 990

x = 990 / 90

x = 11

11 inches of wire

PLEASE HELPPPP MEEEEE, JUSTFIY PLZZ​

Answers

Answer:

a. Unsure

b. True

c. Unsure

d. True

A - False

B - True

C- False

D- True

Given f(x) = 3 and g(x) = cos(x). What is lim [F(x) - g(x)]?

x = -TT

2

4

DNE

Answers

Answer:

4

Step-by-step explanation:

[tex]\lim_{n \to \ -\pi } (f(x) - g(x))\\\\ = \lim_{n \to \ -\pi } (3 - cos x)\\\\ = 3 - cos( - \pi) = 3 - cos(\pi)\\\\ = 3 - (-1) = 3 + 1 = 4[/tex]

Answer for brainlest

Answers

Answer:

∠1 = ∠5

Step-by-step explanation:

The reason is because corresponding angles are equal! :)

What is the meaning of amplitude and period in math?

Answers

Answer:

See below

Step-by-step explanation:

For a wave function, the amplitude is the distance from the maximum or minimum of the function to the midline. The period is the length of which the wave cycle repeats (for example y=sinx has a period of 2pi).

Answer:

Amplitude is the height from the mean, or rest,value of the function to its maximum or minimum . ...The period is the distance required for the function to complete one full cycle. For the sin function, the amplitude is given by and the period is defined as. The same is true for a cosine function.

Step-by-step explanation:

hope it is helpful to you

[tex]nisha[/tex]

Slope Formula
What is the slope of the line with points (-3, -3) and (-1, - 2)?

Answers

Answer:

1/2

Step-by-step explanation:

Slope can be expressed with the formula below

Which is is the difference in y axis over that of x axis

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

( x1 y1) = (-3, -3)

x2 y2)= (-1, - 2)

= ( -2+3)/(-1+3)

m= 1/2

Hence, the slope of the line is 1/2

A car is 3 times as old as its tires were when it was as old as the tires Are now.
When it’s tires are as old as the car is now,the car will be a year older than the tires are now.
What are the present ages of car and tires?

Answers

Answer:

Present age of the car = 1.5 years and the tires are 0.5 years old.

Step-by-step explanation:

Let the present age of the car be x years and that of the tires be y years.

x = 3y

x = y + 1

3y = y + 1

2y = 1

y = 0.5.

x = 3*0.5 = 1.5.

The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It states that the square of the hypotenuse is equal to the sum of the square of the legs of the triangle.

Let x be the length of the hypotenuse, using Pythagoras:

x² = 25² + 25²

x² = 1250

x = 35 (to the nearest whole number)

b) Using sine rule:

[tex]\frac{x}{sin(90)} =\frac{25}{sin(45)} \\\\x=\frac{25}{sin(45)} *sin(90)\\\\x=35(to \ nearest\ whole\ number)[/tex]

Whenever she visits Allenville, Maureen has to drive 48 miles due north from home. Whenever she visits Weston, she has to drive 14 miles due east from home. How far apart are Allenville and Weston, measured in a straight line?

Answers

Answer:

34 i belive not 100% sure but what grade level is this

Step-by-step explanation:

Please help!

What is g(x)?

Answers

Answer:C

Step-by-step explanation:

additive inverse of -33​

Answers

Additive Inverse of -33

༆ANSWER:

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢33}}}}[/tex]

The additive inverse of -33 is 33.

Remember!

»The opposite of the given integer is called its additive inverse. The sum of a number and its additive inverse is zero. For example, the additive inverse of -4 is 4, so when you add the two integer they sum will be zero.

Make congruent angles. Write down the ratios.

Answers

Answer:

Ratio=BG/RT=RA/BA=TA/AG

Step-by-step explanation:

The probability that a student is accepted to a prestigious college is 0.3. If 5 students from the same school apply, what is the probability that at most 4 are accepted

Answers

Answer:0.849185

Step-by-step explanation:

Binomial probability formula we will use:

[tex]$P(x)=\frac{n !}{x !(n-x) !} p^{x} q^{n-x}$[/tex]

where,

[tex]n=5$\\$\mathrm{P}$ (probability of success) $=0.3$\\q=1-p[/tex]

The computation of the probability will be :

[tex]$P(x \leq 2 ; 5,0.3)=P(x=0 ; 5,0.3)+P(x=1 ; 5,0.3)+P(x=2 ; 5,0.3)+P(x=3 ; 5,0.3)$\\$=\left[\frac{5 !}{5 !(5-0) !}(0.3)^{0}(1-0.3)^{5-0}\right]+\left[\frac{5 !}{5 !(5-1) !}(0.3)^{1}(1-0.3)^{5-1}\right]$$+\left[\frac{5 !}{5 !(5-2) !}(0.3)^{2}(1-0.3)^{5-2}\right]$$++\left[\frac{5 !}{5 !(5-3) !}(0.3)^{3}(1-0.3)^{5-3}\right]$$++\left[\frac{5 !}{5 !(5-4) !}(0.3)^{4}(1-0.3)^{5-4}\right]$\\$=0.1681+0.3601+0.3087+0.006615+0.00567$\\$\Rightarrow 0.849185$[/tex]

The probability that at most 4 are accepted = 0.849185

find the area of the figure. round your answer to the nearest hundredth

Answers

Answer:

im sorry i cant these numbers

Step-by-step explanation:

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