Find the surface area of the prism.

Answer: B.152

Step-by-step explanation:

5 * 8 = 40 * 2 = 80

6 * 8 = 48

4 * 6/2 = 12 * 2 = 24

80 + 48 + 24 = 152

The surface area of a triangular prism is determined by summing the areas of the five faces, which include two triangles and three rectangles. In the given example, the surface area totalled to 48 square cm.

The surface area of a triangular prism can be found by summing the areas of all the faces. In the case of a triangular prism, there are two triangular faces and three rectangular ones. To find the area of a rectangle, you multiply the length by the width. For the triangle, you use the formula 1/2(base x height).

Let's assume as an example that we have a prism where each rectangle has dimensions of 3 cm by 4 cm, and the triangles have a base of 3 cm and height of 4 cm.

Calculating for the rectangular faces: 3 rectangular faces x area of rectangle (3 cm x 4 cm) = 3 x 12 square cm = 36 square cm.

Calculating for the triangular faces: 2 triangular faces x area of triangle (1/2 x 3 cm base x 4 cm height) = 2 x 6 square cm = 12 square cm.

Adding all together, the total surface area is 48 square cm.

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Answer:

The answer is 8

Step-by-step explanation:

count them

There are 8 data points plotted in the given scatterplot. The given scatterplot gives the relationship between the given variables.

The given graph is a scatterplot between two variables

The given plot shows the graph is increasing as the time increases. And in the graph, there are 8 data points.

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Answer:

The expected revenue of an airline ticket sold by this travel website is $408

Step-by-step explanation:

For the revenues per ticket we have;

airline A; 600

airline B; 360

For the probability of choosing the airlines we have;

airline A; 20% = 0.2

airline B; 80% = 0.8

Therefore, the expected revenue of an airline ticket sold by this travel website is;

600(0.2) + 360(0.8) = 408

Therefore, the expected revenue of an airline ticket sold by this travel website is $408

Answer:

0.8941

Step-by-step explanation:

sin D = opp / hyp = 6 m  /  6.71 m  =  0.8941

Answer:

sin D = 0.8942

Step-by-step explanation:

In the given Δ BCD.

sin D = [tex]\frac{\text{Length of pole}}{\text{Length of guy wires}}[/tex] = [tex]\frac{CA}{CD}[/tex] = [tex]\frac{Height}{Hypotenuse}[/tex]

= [tex]\frac{6}{6.71}[/tex]

Sin D = 0.8942

Therefore, Answer is sin D = 0.8942

Answer:

multiplication

Step-by-step explanation:

The investment as a function of time will be 500 + ((8 * t)/100)*500 where 't' represents the number of years.

Percentage is defined as a given part or amount in every hundred

Initial investment by Vince = $500

Increase percentage every year = 8%

Investment value after 1 year will be = 500 + ((8 * 1)/100)*500

Investment value after 2nd year will be = 500 + ((8 * 2)/100)*500

Continuing the pattern:

So, investment value after 't' years will be = 500 + ((8 * t)/100)*500

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Answer:

2

Step-by-step explanation:

The average rate of change of a function over the interval a to b is:

(f(b) − f(a)) / (b − a)

In this case:

(f(4) − f(0)) / (4 − 0)

(7 − -1) / 4

2

Answer:

E

Step-by-step explanation:

The given expression is

5(2x-7)

In order to check the options we will have to simplify the expression so that we can match with the answers.

To simplify the expression , first we have to multiply the 5 written outside the bracket with the terms inside the bracket i.e. 2x -7

So,

=> 5(2x-7)

Multiplying 5 inside

=> (5)(2)x - (5)(7)

=> 10x - 35

So, comparing with the given options, we observe that option E is the correct answer..

Answer:

d)13sin75/sin55

Step-by-step explanation:

1)Given

inΔVWU, ∠V= 75°

∠U= 50°

Finding ∠W:

∠W= 180-(75+50)

     =180-(125)

     = 55

Now finding x, using law of sine

x/sinV = 13/sinW

Putting the values in above we get:

x/sin75=13/sin55

Re-arranging, we get:

x= 13sin75/sin55 !

The error is identified in C. In step 2, he confused the multiplication and addition signs.

What is Calvin's error?

In step 2, he confused the multiplication and addition signs.

Step 1: -2/3 x (5 + 1/6)

Step 2: (-2/3 × 5) + (-2/3 × 1/6)

Step 3: -10/3 + -12/18

Step 4: -10/3 - 2/3

= (-10-2)/3

= -12/3

= -4

Therefore,

Calvin's answer should be negative 4

Complete Questiion:

Calvin evaluated -2/3 x 5 1/6 using the steps below.

Step 1: -2/3 x (5 + 1/6)

Step 2: (-2/3 + 5)x(-2/3 + 1/3)

Step 3: 4 1/3 x -1/3

Step 4: -2 1/6

Which describes Calvin’s error?

In step 1, he incorrectly broke up 5 1/6.

In step 2, he distributed the -2/3 instead of the 5.

In step 2, he confused the multiplication and addition signs.

In step 3, he computed the addition and multiplication incorrectly

Answer:

The numbers are 578 and 264

Step-by-step explanation:

Let

x-----> the greater number

y----> the smaller number

we know that

x+y=842 -----> equation A

x-y=314 -----> equation B

Adds equation A and equation B

x+y=842

x-y=314

------------

x+x=842+314

2x=1,156

x=578

Find the value of y

578+y=842

y=842-578=264

Answer:

The mean is 5 times

range - 6

mode - 3

median - 3

Step-by-step explanation:

to work out the mean you add 9+3+9+8+3+3+5+3+3 together which gives you 46 and then divide the answer by the total number of people which is 9 and the answer is 5.1 but you round it to 5

Data suitable for dot plots are quantitative and involve individual values. Options A), D), E), and F) can be graphed using dot plots because they involve numerical data where each dot represents an individual value. Options B) and C) involve categorical data, which are not typically displayed using dot plots.

A dot plot is a type of graphical display that uses dots to represent the frequency or distribution of data points along a number line. It is suitable for displaying quantitative data that consists of individual values. Let's analyze each option:

A) Time taken to complete a test:

Yes, this data could be graphed using a dot plot. Each dot would represent a student's time taken to complete the test, and the position of the dot along the number line would correspond to the time taken.

D) Number of cars in a household:

Yes, this data could also be graphed using a dot plot. Each dot would represent a household, and the position of the dot along the number line would correspond to the number of cars in that household.

E) Number of siblings:

Yes, the number of siblings could be graphed using a dot plot. Each dot would represent an individual, and the position of the dot along the number line would correspond to the number of siblings that individual has.

F) Distance driven to school:

Yes, this data could also be graphed using a dot plot. Each dot would represent a student, and the position of the dot along the number line would correspond to the distance driven to school by that student.

Options B) Favorite pet and C) Zip Code do not lend themselves well to dot plots. Favorite pet is a categorical variable, and dot plots are typically used for displaying quantitative data. Similarly, zip codes are categorical and do not have a natural numerical order suitable for a dot plot.

So, the data that could be graphed using a dot plot are A), D), E), and F). Each dot plot would display the distribution of values for the respective variables, providing a visual representation of the data's spread and concentration.

Complete question :- Which of the following data could be graphed using a dot plot? Select all that apply.

A) Time taken to complete a test

B) Favorite pet

C) Zip Code

D) Number of cars in a household

E) Number of siblings

F) Distance driven to school

Answer:

B

Step-by-step explanation:

The measure of the angle on the circle formed by the chords RS and TS is half the measure of the arc RT intersected by the 2 chords,

∠RST = 0.5 × 94° = 47° → B

Answer: 47

Step-by-step explanation:

Answer:

r=2

Step-by-step explanation:

bring the numbers to the other sides

Answer:

dude what is r?

Step-by-step explanation:

for example

3 + 3z - 10

if z is 2

3 + 3 × 2 - 10

Answer:

the correct answer is rectangle

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Using the process of elimination and since their is no -27, 27 must be the answer

The little bars on each side of the number -27 represent absolute value. This means that you must take the positive of the number inside the absolute value. In this case the positive of -27 is...

A. 27

Hope this helped!

I love Shawn Mendes. I'll marry him one day. You'll see

The period of the wave is this explanation: A group will 'modulate' the wave amplitude; it's like another long wave on top. So the first wave in a group is tiny, the next one is bigger and so on until you get the biggest one in the middle of the group. Then they get smaller again. The last one is tiny, so the biggest wave in the group is in the middle, and if there are 14 waves in a group, the seventh wave is the biggest.

Step 1: Order the numbers from least to greatest

112, 130, 142, 150, 178, 206

The two middle numbers are 142 and 150.

The number between 142 and 150 is 146.

The median weight is 146 pounds.

The median weight of the wrestlers is 146 pounds.

To find the median weight, we need to arrange the weights in ascending order and identify the middle value(s).

Arrange the weights in ascending order:

112, 130, 142, 150, 178, 206

Since there is an even number of weights (6), the median is the average of the 3rd and 4th weights.

The 3rd weight is 142, and the 4th weight is 150.

Calculate the median:

(142 + 150) / 2 = 292 / 2 = 146

Answer:

0i + 10j, or just 10j

Step-by-step explanation:

Vector u = <6, -4> and vector v = <12, 2>.

We are to find v - 2u, which is:

<12, 2> - 2<6, -4>.  We combine x components and y components to obtain:

<12-12, 2+8>, or <0, 10>.

In terms of i and j, that'd be 0i + 10j, or just 10j.

Answer:

v-2u=10j

Step-by-step explanation:

The component of vector v, are

u=<6,-4>

From the graph; vector u, has components.

v=<12,2>

We perform the subtraction;

v-2u=<12,2>-2<6,-4>

We multiply out the scalar to get:

v-2u=<12,2>-<12,-8>

This implies that;

v-2u=<12-12,2--8>

v-2u=<0,10>

v-2u=0i+10j

v-2u=10j

Answer:

105 square cm.

Step-by-step explanation:

The surface area of a square pyramid is

[tex]SA=A_{base}+4A_{lateral \ side}.[/tex]

1. The base is the square with side length of 5 cm, thus

[tex]A_{base}=5\cdot 5=25\ cm^2.[/tex]

2. The lateral side is the triangle with the base of 5 cm and the height of 8 cm. Thus,

[tex]A_{lateral \ side}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 5\cdot 8=20\ cm^2.[/tex]

Now, the surface area of the pyramid is

[tex]SA=25+4\cdot 20=105\ cm^2.[/tex]

Answer:

The surface area of a square pyramid is: 105 cm^2

Step-by-step explanation:

The surface area of a pyramid is given by the following formula

[tex]A = l ^ 2 + 4 * (0.5) lh[/tex]

Where

l is the length of one of the sides of the square base

h is the height of the pyramid

We know that h = 8 cm and l = 5 cm

[tex]A = 5 ^ 2 + 4 * (0.5) * 5 * 8\\\\A = 25 + 2 * (40)\\\\A = 105\ cm ^ 2[/tex]

Answer:

1 1/2 feet

Step-by-step explanation:

Living Room Window: 2 5/6 feet wide

Bedroom Window: 1 1/3 feet wide

2 5/6 - 1 1/3 = 2 5/6 - 1 2/6 = 1 3/6 = 1 1/2

The width of the window of the living room is 2.125 times the width of the window of the bedroom.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Emily's living room window is 2 ⁵/₆ feet wide the window in her bedroom is 1 ¹/₃ foot wide.

Convert the mixed fraction into a fraction number, then we have

2 ⁵/₆ = 17 / 6

1 ¹/₃ = 4 / 3

The ratio of the width of the window of the living room to the window of the bedroom is calculated as,

⇒ (17/6) / (4/3)

⇒ (17/6) x (3/4)

⇒ 17/8

⇒ 2.125

The width of the window of the living room is 2.125 times the width of the window of the bedroom.

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Answer:

You'd earn $825 in interest.

Step-by-step explanation:

The appropriate formula for simple interest is i = p·r·t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  Because 8 months constitutes 2/3 year, we have:

i = $45,000·(0.0275)(2/3) = $825.

You'd earn $825 in interest.

Answer:

Maya needs 33 bags

Step-by-step explanation:

Let's call x the number of bags of soil. If each bag contains 1.5 cubic feet, then "x" bags do not contain a volume of:

1.5x.

As a volume of 4.5 cubic feet has been published.

[tex]y = 4.5 + 1.5x[/tex]

We need 54 cubic feet.

Then [tex]y = 54[/tex]

[tex]54 =4.5 + 1.5x[/tex]

Now we must solve the equation for x.

[tex]1.5x = 54 -4.5[/tex]

[tex]1.5x = 49.5[/tex]

[tex]x =\frac{49.5}{1.5}\\\\x=33\ bags[/tex]

Answer:

3

Step-by-step explanation:

As we move from A(2, 1) to B(5, 1), x increases by 3 but y stays the same.

Thus, the distance from A to B is simply 3.  This is the desired length.

The length of side AB would be 3 units,

As we move from A(2, 1) to B(5, 1), x increases by 3 but y stays the same.

Thus, the distance from A to B is simply 3.  This is the desired length.

I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).

The picture ends up looking like the attachment I have below.

This is now a simple subtraction.

A is at 2 on the x-axis and B is at 5.

5-2=3

3 units.

A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

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Answer:

$962.82 will be in John's account after 8 years if compounded semiannually.

Step-by-step explanation:

The formula used to find the amount after 8 years is:

A = P(1+ r/n)^nt

Where A = future value

P= principal value

r = interest rate ( in decimals)

n = no of times interest is compounded

t = time

Putting the values:

P = $600

r = 6% = 0.06

n = 2

t = 8

A= 600 *(1+0.06/2) ^2(8)

A= 600 *(1.03) ^16

A =600*1.605

A = 962.82

So, $962.82 will be in John's account after 8 years if compounded semiannually.

Answer:

The correct answer is  64a^6 - 27b^4

Step-by-step explanation:

It is given an expression,

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4)

To find the correct answer

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4)  can be written as,

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4) = 4a^2 * (16a^4 + 12a^2b^2 + 9b^4) - 3b^2(16a^4 + 12a^2b^2 + 9b^4)

 = 64a^6 + 48a^4b^2 + 36a^2b^4 - 48a^4b^2 - 36a^2b^4 - 27b^4

 =  64a^6  - 27b^4 + 48a^4b^2 - 48a^4b^2 + 36a^2b^4 - 36a^2b^4

 = 64a^6 - 27b^4

Therefore the correct answer is  64a^6 - 27b^4

Answer:

[tex]64a^6-27b^6[/tex]

Step-by-step explanation:

Hope this helps:) Have a good day!!

Area is defined as a product of sides when we talk about squares.

[tex]A=a\cdot a=20\cdot20=\boxed{400}[/tex]

The area of the front cover of notebook is 400 centimetres squared.

Hope this helps.

r3t40

Answer:

400 cm

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Absolute value means take the positive value of

3 |-4|

3 * 4

12

Answer:

Final answer is x=23.

Step-by-step explanation:

Given that m∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°

We know that sum of all three angles of a triangle equals 180 degree.

So we can write equation:

m∠A + m∠B + m∠C = 180°

60° +(3x − 2)° + (2x + 7)°  = 180°

60 +3x − 2 + 2x + 7  = 180

67 +5x − 2  = 180

65 +5x  = 180

5x  = 180 - 65

5x  = 115

[tex]x=\frac{115}{5}[/tex]

x=23

Hence final answer is x=23.

Same side interior means that they have to be the angles inside the two parallel lines and on the same side

Look at the image below

The ones circled in pink is one set of same side interior and the ones in read are another

Hope this helped!

btw Only one of them is in the answer choices, but both are correct.

Answer:

The correct answer is last option

<3 and <5

Step-by-step explanation:

From the figure we can see that,

MP ║ JL and KN is the traversal

To find the same side interior

From figure we get,

same side interior angles are,

1).  <3 and < 5

2).  <4 and <6

From the given options the correct option is last option

<3 and <5