Kayla’s work to find the surface area of a composite solid formed when a rectangular prism and rectangular pyramid are joined at their bases is shown below. SA = 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) = 255.7 square units What statement best describes Kayla’s error? She used the wrong expression for the lateral faces of the solid. She should have simplified 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)). She left out one of faces of the solid. She should have simplified 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) + (5) (6). She used the wrong expression for the lateral faces of the solid and left out the base of the figure. She should have simplified 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) + (5) (6). She included the face where the pyramid and prism are joined together. She should have simplified 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) minus 2((5) (6)). SA = 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) = 255.7 square units

What statement best describes Kayla’s error?
She used the wrong expression for the lateral faces of the solid. She should have simplified 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)).
She left out one of faces of the solid. She should have simplified 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) + (5) (6).
She used the wrong expression for the lateral faces of the solid and left out the base of the figure. She should have simplified 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) + (5) (6).
She included the face where the pyramid and prism are joined together. She should have simplified 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) minus 2((5) (6))

Answers

Answer 1

Answer:

Option B

Step-by-step explanation:

The reason is because the surface area is not including the base of the pyramid and the top of the prism.

Option b.  she left out one of the faces of the solid she should have simplified 2((5)(7))+2((6)(7))+2[1/2(5)(9.3)]+2[1/2(6)(9.2)]+(5)(6)

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to the surface area of the pyramid not including the base plus the surface area of the prism not including the top

so

SA= 285.7 units squared

Answer 2

Answer:

B

Step-by-step explanation:


Related Questions

In a class of 34 students 19 of them drinks tea and 4 of them drinks coffee 3 drinks both coffee and tea .

1- Draw a Venn diagram to show this information
2- how many students do not drink coffee or tea

Answers

The answer is attached.

The graph of a logarithmic function is shown below.

On a coordinate plane, a curve starts in quadrant 3 and curves up into the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.

What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers

Answers

Answer:

A = x > -2

Step-by-step explanation:

Got it right

Answer:

A = x > -2

Step-by-step explanation:

A hovercraft takes off from a platform.

Its height (in meters),

x

xx seconds after takeoff, is modeled by:

h

(

x

)

=



3

(

x



3

)

2

+

108

h(x)=−3(x−3)

2

+108h, left parenthesis, x, right parenthesis, equals, minus, 3, left parenthesis, x, minus, 3, right parenthesis, squared, plus, 108

What is the height of the hovercraft at the time of takeoff?

Answers

Answer:

81 meters.

Step-by-step explanation:

The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:

[tex]h(x)=-3(x-3)^2+108[/tex]

We are to determine its height at the time of takeoff.

Now, at the time of takeoff, x=0.

We substitute x=0 to solve for h.

[tex]h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters[/tex]

The height of the hovercraft at takeoff is 81 meters.

I need help on this question please ^^^

Answers

Answer:

1

Step-by-step explanation:

Answer:

1. 2^7

2. 2^6

3. 2^3

4. 2^8

Step-by-step explanation:

its how exponents work

just remember that youre not multiplying 2 by the exponent (for example 2 x 7 is incorrect) youre multiplying 2x2 7 times

Please mark as brainliest :)

(5x-6)^2=25x^2-60x+36. Where did the -60x come from?

Answers

Answer:

see below

Step-by-step explanation:

(5x-6)^2

This means

(5x-6)*(5x-6)

FOIL

First: 5x*5x = 25x^2

outer:  5x*-6 = -30x

inner -6*5x = -30

last -6*-6 = 36

Add these together

25x^2 -30x-30x +36

Combine like terms

25x%2 -60x+36

25 more than a number, t

Answers

Answer:

25+(The number)

Step-by-step explanation:

Help really need answer. Thanks


George is reading a book that is 420 pages long. He reads 45 pages on the first day. He will read the remaining pages in the book in 15 more days. During that time he will read an equal number of pages each day. How many pages will he read each day?
A.7
B.25
C.28
D.31

Answers

Answer:

The answer is 28

Step-by-step explanation:

28×15=420 pages

Find the measure of arc QR

Answers

doing quests, sorry luv. but what does it look like?

C. 104°. The measure of arc QR is equal to 104°.

In Mathematics and Euclidean Geometry, the inscribed angle of a circle is equal to one-half of the central angle or intercepted arc of a circle. This ultimately implies that, the measure of an inscribed angle is one-half the measure of the arc it intercepts based on the inscribed angle theorem.

Since angle S intercepts arc QR, the measure of the angle substended by the intercepted arc can be modeled by the following mathematical equation:

m∠S = 1/2(arc QR).

52 = 1/2 × arc QR

Arc QR = 2 × 52

Arc QR = 104°.

Complete Question:

Find the measure of arc QR.

A. 26°

B. 52°

C. 104°

D. 128°

Simplify the expression. StartFraction 0.5 (negative 14 + 12.6) over 9.32 + (negative 7.92) EndFraction –0.04 –0.5 0.5 9.5

Answers

Answer:

Negative 0.5

Step-by-step explanation:

i just took the test and got the awnser right.

please help will mark branlist!!

Answers

Answer:

x=9

Step-by-step explanation:

Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:

7x+49=2x+94

7x-2x=94-49

5x=45

x=45/5

x=9

What is 110% of 90 as a fraction

Answers

110% of 90 is:
90*1.10 = 99

Answer:99/1

Step-by-step explanation:110% = 1.1

1.1 * 90 = 99

99= 99/1

Choose the equation that represents the solutions of 0 = 0.25x2 - 8x
0.25+ 0.25)2 – (4)(1)(-8)
2(1)
-0.25 +
0.25)2 – (4)(1)-8)
2(1)
(-8)2 – (4)(0.250
200.25)
(-8)2 – (4)(0.25)0
2(0.25)

Answers

Answer:

Step-by-step explanation:

Given that,

0 = 0.25x² - 8x

This is a quadratic equation, since it has the highest power of x to be 2.

0.25x² - 8x = 0

Simplify this by bring out x

x(0.25x - 8) = 0

So, if a × b = 0, it is either a = 0 or b = 0, if the multiplication of two number is 0, then it is either one of the number is 0 or both numbers is 0

So,

x(0.25x - 8) = 0

x = 0. OR. 0.25x - 8 = 0

x = 0. OR. 0.25x = 8

x = 0. OR. x = 8 / 0.25

x = 0. OR. x = 32.

So, the solution that describe the system is

0.25(0)² - 8(0)

OR

0.25(32²) - 8(32)

Answer:

c

Step-by-step explanation:

A circle has a sector with area 20\pi20π20, pi and central angle of \purple{\dfrac{2}{5}\pi}

5

2



πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians .

What is the area of the circle?

Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

100pi

Step-by-step explanation:

Answer:

Find the volume of the sphere.

Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7}

7

22

start fraction, 22, divided by, 7, end fraction for \piπpi.

units^3

3

cubed

Step-by-step explanation:

Find the volume of the sphere.

Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7}

7

22

start fraction, 22, divided by, 7, end fraction for \piπpi.

units^3

3

cubed

A bar graph titled Time Spent Practicing with hours on the x-axis and students on the y-axis. 3 students spent 0 to 59 minutes, 5 students spent 1 to 1 hours and 59 minutes, 8 students spent 2 to 2 hours and 59 minutes, 4 students spent 3 to 3 hours and 59 minutes, and 1 student spent 4 to 4 hours and 59 minutes. The histogram represents the number of hours band students practice their instruments. Use the drop-down menus to complete the statements. The bars represent . According to the histogram, students spend 3 or more hours practicing. According to the histogram, students spend fewer than 2 hours practicing.

Answers

Answer:

(a)Number of students

(b)5 Students

(c)8 Students

Step-by-step explanation:

From the supplied information

[tex]\left|\begin{array}{c|c}$Time Spent Practicing(hrs)&$Number of Students\\-------&------\\$0 to 59 minutes & 3\\$1 to 1 hours and 59 minutes&5\\$2 to 2 hours and 59 minutes&8\\$3 to 3 hours and 59 minutes&4\\$4 to 4 hours and 59 minutes&1\end{array}\right|[/tex]

(a)The bars represents the number of students who practiced for that particular duration.

(b)Students who spend 3 or more hours practicing

From the above table,

Number of students who spend 3 or more hours practicing=4+1

=5 Students

According to the histogram, 5 students spend 3 or more hours practicing.

(c)Students who spend fewer than 2 hours practicing

From the above table,

Number of students who spend fewer than 2 hours practicing=3+5

=8 Students

According to the histogram, 8 students spend  fewer than 2 hours practicing.

Answer:

1.    number of students

2.   number 5

3.   number  8

Step-by-step explanation:

hope this helps! have a good day! :)

Please answer ASAP I will give you five stars

Answers

Answer:

144π or 452.16

Step-by-step explanation:

Use the equation  V = πr²h  and solve for V to find volume

V = π(6)²(4)

V = 144π or 452.16

How many meters are in 7.2 kilometers ?

Answers

7200 meters are in 7.2 kilometers

Answer:

7200 meters

Step-by-step explanation:

Do these rates form a proportion? Defend your answer.
66 songs: 6 hours
22 songs: 2 hours

Answers

Answer:

They form a proportion

Step-by-step explanation:

Take 66 songs and divide by 6 hours

66/6 = 11 songs per hour

Take 22 songs and divide by 2 hours

22/2 = 11 songs per hour

The rates are the same so they a proportional

Final answer:

The rates 66 songs in 6 hours and 22 songs in 2 hours do form a proportion, as both simplify to the same ratio of 11 songs per hour, indicating a consistent linear relationship between the number of songs and listening time.

Explanation:

The question asks if the rates of 66 songs in 6 hours and 22 songs in 2 hours form a proportion. To determine this, we check if the ratios are equivalent. The ratio for the first rate is 66 songs per 6 hours, which simplifies to 11 songs per hour (since 66 ÷ 6 = 11). The ratio for the second rate is 22 songs per 2 hours, which simplifies to 11 songs per hour (since 22 ÷ 2 = 11). Since both rates simplify to the same unit rate of 11 songs per hour, they indeed form a proportion. This shows that the rate at which songs are experienced is consistent across both periods, essentially indicating that the number of songs listened to scales linearly with the time spent listening.

Find the area of the shape shown below.

Answers

the area of the shape is 47.5

Answer:

the answer to this question would be 47.5

PLEASE HELP ME!!!
I have a sock drawer with 16 socks. 6 are black, 8 are white and 2 are blue. What is the probability that I will randomly choose a white sock, put it to the side, and then randomly choose another white sock?
A. 7/30
B. 8/16
C. 7/15
D. 29/30

Answers

The probability of choosing one white sock and then another white sock from a drawer of 16 socks with 8 being white is 7/30, calculated by multiplying the probability of each event: (1/2) * (7/15).

Initially, there are 8 white socks out of 16 total socks in the drawer. After putting one white sock aside, there are now 7 white socks left out of 15 total socks in the drawer.

The probability for each event is calculated separately:
The probability of picking a white sock first: 8/16 or 1/2.
Then the probability of picking another white sock: 7/15.

To find the overall probability of both events occurring in sequence (one after the other), we multiply the probabilities of the two independent events:

(1/2) * (7/15) = 7/30.

So the correct answer is A. 7/30.


If line L bisects AB at point M, and if AM = 4x and MB = 5x - 4. then find AB.

Answers

Final answer:

By setting up and solving the equation 4x = 5x - 4, we can find the value of x. Substituting the value of x into the expression for AM or MB, we can find the length of AB.

Explanation:

In order to find AB, we need to solve for x since AM and MB are given in terms of x. Since line L bisects AB at point M, AM and MB should be equal. So, we can set up the equation 4x = 5x - 4 and solve for x.

4x = 5x - 4

-x = -4

x = 4

Now that we have the value of x, we can substitute it back into one of the expressions for AM or MB to find the length of AB. Using AM = 4x, we have AB = AM + MB = (4 * 4) + (5 * 4 - 4) = 16 + 16 = 32.

Therefore, AB is 32 units long.

Learn more about Geometry here:

https://brainly.com/question/31408211

#SPJ2

BRAINLIEST FOR HELP PLZ

Answers

Answer:

1,395 sq feet

Step-by-step explanation:

lets start with the area of the green cube b×h. 15×15=225. 225×5= 1125. I got five because there are 5 visible faces on the cube. to find the area of a triangle you use the formula 1/2 bh 9×15= 135 multiply that by 2 instead of one half because you have four triangular faces. add your areas together and you get 1395

Answer: 1465

Step-by-step explanation:

225 base

225 for each wall  (x4)

540 area for the top

Porcentagem No dia 15/05/2020 as 18h e 40min o G1 divulgou que a Paraíba tem 3.739 casos confirmados e 170 mortes por coronavírus. Qual a porcentagem de mortos no Estado da Paraíba em relação a quantidade de casos confirmados ?

Answers

Answer:

The percentage of deaths in relation to the number of cases is 4.55%.

Step-by-step explanation:

The proportion of deaths is the number of deaths divided by the number of cases(Proporção de mortes é o numero de morte dividido pelo de casos).

The percentage is the proportion multiplied by 100.

In this question:

3739 cases, 170 deaths

170/3739 = 0.0455

0.0455*100 = 4.55%

The percentage of deaths in relation to the number of cases is 4.55%.

Which is the equation of an ellipse centered at the origin with foci on x-axis, major axis of length 12 and minor axis of length 8?

Answers

Answer:

[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]

Step-by-step explanation:

Center of the ellipse is at origin (0, 0)

So (h, k) = (0, 0)

Length of major axis = 12

2a = 12

⇒ a = 6

Length of minor axis = 8

⇒ 2b = 8

⇒ b = 4

Since focus is on the x-axis, so it's a horizontal ellipse.

Equation of the horizontal ellipse is in the form of,

[tex]\frac{(x-h)^{2} }{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

By substituting the given values of a, b, and (h, k)

[tex]\frac{(x-0)^{2}}{6^2}+\frac{(y-0)^2}{4^2}=1[/tex]

[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]

Answer:

A

Step-by-step explanation:

edge

help with on number 4 and 6 please! I will mark you the brainliest!

Answers

Answer:

4. 2 triangular faces, 9 edges, and 6 vertices

6. 2 rectangular faces, 12 edges, and 8 vertices

Step-by-step explanation:

Please mark brainliest :)

Four friends went to a park to fly kites. Asher stood 50 feet due west of the flagpole. Baxter stood 50 feet due north of Asher. Cranby stood 100 feet due East of Baxter. Dudley stood 50 feet due south of Cranby. How far is Dudley from the flagpole

Answers

Answer:Dudley is 50 feet from the flagpole.

Step-by-step explanation:

The situation is represented in the attached diagram. FL represents the flagpole.

A represents the position of Asher.

B represents the position of Baxter.

C represents the position of Cranby.

D represents the position of Dudley.

Looking at the diagram, Dudley is at the same level with Asher but eastwards of the flagpole. The distance of Dudley from the flagpole would be

100 - 50 = 50 feet

Final answer:

Dudley is 100 feet east from the flagpole after the friends have each moved from their starting positions.

Explanation:

The question describes four friends at different locations in relation to a flagpole, and we are asked to determine how far Dudley is from the flagpole after following the described steps by the friends. To solve this, we can visualize or draw a diagram to represent the positions of friends and use the Pythagorean theorem to find the distance Dudley is from the flagpole.

Asher is 50 feet due west of the flagpole.Baxter is 50 feet due north of Asher.Cranby is 100 feet due East of Baxter.Dudley is 50 feet due south of Cranby.

First, let's determine the position of Cranby.

Since Baxter moved 50 feet north from Asher's position and then Cranby moved 100 feet east from Baxter's position, we can see that Cranby is 100 feet east and 50 feet north of the flagpole.

Dudley, standing 50 feet south of Cranby, would thus be at the same north-south position as the flagpole but still 100 feet to the east.

Therefore, Dudley is 100 feet east of the flagpole.

What is the value of a?

Answers

Answer:

180-(4a+32)=48-4a

(142-4a)+39+(a+41)=180

-4a+a=180-142-39-41

-3a= -48

a=-48/-3

a=16

Which equivalent four-term polynomial can be created using the X method?
x2 + 8x + 8x + 48
x2 – 12x – 4x + 48
x2 + 12x + 4x + 48
x2 – 8x – 8x + 48

Answers

Answer:

X2+ 12x+4x+48

Step-by-step explanation:

Answer:

C) x2 + 12x + 4x + 48

what is an equevilent fraction to 2/4

Answers

1/2 = 2/4 = 3/6,4/8,5/10,6/12,7/14, etc.

Add 1 to the numerator. Add 2 to the denominator.

Answer:

Equivilent fractions of 2/4 include the following: 1/2, 3/6, 4/8, 5/10.

Step-by-step explanation:

The fraction 2/4 can be simplified to 1/2, because 2 is half of 4. And since 3 is half of 6, it can also be simplified to 1/2, making the fractions 2/4 and 3/6 equal to eachother.

I hope that makes sense :)

What is the correct meaning of the word commit?
Ana will commit ten hours to volunteering each week
attempt
pledge
achieve
supervise

Answers

Answer:promising

Step-by-step explanation:commit is a commitment its where you basicly kinda promise to do it and not turn your back on it

Answer:

The answer is pledge.

Step-by-step explanation:

Hector and his classmates traveled 416 miles in 8 hours. How many miles per hour did they travel?

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

you just need to divide 416 by 8

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