The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism's bases lies completely on one side of the cube.
What is the surface area of the solid formed?
Answer:

Answers

Answer 1

The surface area of the solid formed is about 598.33 in²

What is an area?

Area is the amount of space occupied by a two dimensional shape or object.

1 5/6 in = 11/6 in, 8 2/3 in = 26/3 in

Hence:

Surface area = 5(10 * 10) + (0.5 * 10 * 26/3) + 3(10 * 11/6) = 598.33 in²

The surface area of the solid formed is about 598.33 in²

Find out more on area at: https://brainly.com/question/25292087


Related Questions

(Pls Help ASAP) (If you don't know don't Answer)

Answers

Answer:

Step-by-step explanation:

4x + y = 8

x + 3y = 8

[tex]Here, \dfrac{a_{1}}{a_{2}}=\dfrac{4}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{1}{3}\\\\\\\dfrac{a_{1}}{a_{2}} \neq \dfrac{b_{1}}{b_{2}}[/tex]

So, this system of equations is consistent and independent.

-4x + 6y = -2

2x - 3y = 1

[tex]\dfrac{a_{1}}{a_2}}=\dfrac{-4}{2}=\dfrac{-2}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{6}{-3}=\dfrac{-2}{1}\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{-2}{1}\\\\\\\dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}}=\dfrac{c_{1}}{c_{2}}[/tex]

So, the system of linear equations are consistent and dependent.

5x -2y = 4

5x - 2y = 6

[tex]\dfrac{a_{1}}{a_{2}}=\dfrac{5}{5}=1\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{-2}{-2}=1\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{4}{6}=\dfrac{2}{3}\\\\\\ \dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}} \neq \dfrac{c_{1}}{c_{2}}[/tex]

This system of equations is inconsistent.

Is (1, 0) a solution to the equation y= –9x + 1?

Answers

Answer:

No

Step-by-step explanation:

→ Substitute the x value into the equation

-9 × 1 + 1

→ Simplify

-8

→ Compare to given y value

0 ≠ -8

Answer:

no

when you substite the values you don't get the same values

A rocket is shot off from a launcher. The accompanying table represents the height of
the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a
quadratic regression equation for this set of data, rounding all coefficients to the
nearest hundredth. Using this equation, find the height, to the nearest foot, at a time
of 14.7 seconds.
Time in Seconds (x) Height in Feet (v)
1.1
301
2
518
3.1
756
3.6
833
4.3
956
Copy Valoes for Calculator
Open Statistics Calculator
Regression Equation:
Final Answer:
Submit Answer

Answers

Answer:The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :y = - 15.57x² + 179.32x + 0.20height = yx = time                          Using the model obtained;The height, to the nearest foot, at a time, x = 6.4 seconds.y = - 15.57x² + 179.32x + 0.20y = - 15.57(6.4^2) + 179.32(6.4) + 0.20y = 510.1008y = 510

Step-by-step explanation:

16
21
Jade works as a decorator.
She is paid £22.80 per hour for the first 35 hours she works each week.
She is paid 15% more per hour for each extra hour she works.
One week, Jade was paid £981.54
In total, how many hours did she work that week?
You must show your working.

Answers

Let's assume that all hours she worked were the first 35 hours of the week.

She would've made £22.80 x 35 = £798

So, she would've made 981.54 - 798 = 183.54 less than the actual amount

She is paid 15% more per hour after the first 35 hours -> She will get £26.22 per hour.

So, she work for 183.54 : 26.22 = 7(hours) after the first 35 hours

So in total, she worked for 35 + 7 = 42(hours).

Answer:

42 hours

We know she works at least 35 hours, so 35x22.80=798. This is her base pay without any extra hours.

981.54-798 =183.54. This is the amount she earnt for working extra hours. if we divide this by the rate she earns for extra hours (22.80x1.15=26.22), 184.54/26.22=7, we know she worked an additional 7 hours.

and 35 plus 7 = 42 :)

Given that the measure of 2x is 45°, and the measure of zy is 499, find the
measure of z

Answers

Answer:

86 degrees

Step-by-step explanation:

The angles of a triangle all add up to 180.

x is 45 degrees

y is 49 degrees

49 + 45 = 94

180 - 94 = 86

The last angle of the triangle is 86 degrees. Since z is on the opposite side of it, it is equal to 86

This should be easy for me but I just can't get it right.
Please Help Me! ASAP! :) Thank you hope your day was alright.
Will try to mark Brainliest!

Answers

Answer:

1. 32

2. 47

3. See explanation for number 3 below

Step-by-step explanation:

All you have to do is simply add 17 to however old Titus is. So if he's 15 years old, you just simply have to do 15+17, which is 32. For number 3, I'm assuming that they just want an explanation for how you do this process, in which case, this explanation is the answer to number 3. If that's not what they're looking for in number 3, then I'm sorry. But I'm pretty sure that's what they want there.

Find the value of x.
(3x+9)
(4x + 3)

Answers

Answer:

For two different equations:

(3x+9)

x = -3

(4x+3)

x = -3/4

Finding x using both equations:

plug x = -3 into the other equation

4(-3) + 3 = -9

x = -9

plug x = -3/4 into the other equation

3(-4/3) + 9 = 27/4

x = 27/4

Set the equations equal to each other:

3x+9=4x+3

3x-4x = 3-9

-x = -3

x=3

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Please help ASAP!
The domain of this function is {-12, -6, 3, 15}.
y= 2/3x + 7
Complete the table based on the given domain.

Answers

In order: 11, 3, -3, -12

anyone know the answer to this

Answers

Answer: The bottom three: [tex]\frac{48}{-17}[/tex], [tex]\frac{-48}{17}[/tex], and -2 [tex]\frac{14}{17}[/tex]

Step-by-step explanation:

     The first option is not because the numerator and denominator are flipped.

     The second option is not because this one is positive while the one given is negative.

     The third option is equivalent.

     The fourth option is equivalent.

     The fifth option is equivalent because - 48 / 17 = -2 [tex]\frac{14}{17}[/tex] when turned into a mixed number.

Answer:

[tex]\frac{48}{-17}, \frac{-48}{17}, -2\frac{14}{17}[/tex] (the last 3 options)

Step-by-step explanation:
As long as the negative is in either the numerator or the denominator (if it is in both then it is positive because the negatives cancel out), the entire fraction will be negative, so both [tex]\frac{48}{-17}[/tex] and [tex]\frac{-48}{17}[/tex] work as answers. The last option is just a simplified version of the fraction.

Write1 3/4 as a decimal and as a percent

Answers

Answer:

the decimal is 1.75 and  The percentage is 175%

Step-by-step explanation:

what is 6.7 x 192 ÷ 0.051 ?

Answers

Answer:  Reduce the expression, if possible, by cancelling the common factors

25223.52941176

Hoped this helped :)

find x , y , sin alpha, tg beta and area of triangle​

Answers

Answer:

Step-by-step explanation:

complementary
supplementary
neither

Answers

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. Note that in these definitions, it does not matter whether or not the angles are adjacent; only their measures matter.

Step-by-step explanation:

hope its help po

correct me if im wrong

Two angles say x and y, are said to be complementary iff the sum of both angles x and y is 90° , while on the another hand, if their sum is 180°, they're called supplementary angles. So, here 75° + 105° = 180°, so both the angles are supplementary.

Hence, the required answer is supplementary

Can someone please help me out with this question?​

Answers

Use the slope formula and pick any two points  to find the slope.

m= Y2- Y1/x2-x1

I picked the points (1,8) (3,14).

14-8/3-1= 6/2= 3

Hope this helps .

                           

what is the diameter of a circular field whose area is 616cm^2

Answers

Answer:

28cm

Step-by-step explanation:

[tex]d=2\sqrt{\frac{A}{\pi}} =2\sqrt{\frac{616}{\pi} }[/tex]≈[tex]28.00563cm[/tex]

rounding 28.00563 to 28.

So hence, your answer is 28cm

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Thanks!

Have a great day!

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Answer:

28

Step-by-step explanation:

area of a circle

[tex]\pi{r}^{2} [/tex]

616=3•142×r×r

616/3•142=r^2

196=r^2

r=√196

r=14

d=2r

d=2×14

d=28

A soccer stadium had a capacity of 25000 seats, but with the new area built this increased by 20%.
Calculate the number of people in the stadium if on a match only 65% of the seats are occupied.

Answers

Answer:

19,500 people

Step-by-step explanation:

20% of 25,000 is 5,000.

Add 5,000 to 25,000 - this will give you 30,000. That is a 20% increase.

65% of 30,000 is 19,500, thus there are 19,500 people in the stadium.

A lifeguard fills a pool with water at a constant rate. After 1/2 hour, 1/3 of the pool is filled.

At this rate, what fraction of the pool is filled per hour?

A. 1/6 of the pool
B. 1/3 of the pool
C. 1/2 of the pool
D. 2/3 of the pool

Answers

Answer:

D

Step-by-step explanation:

1/2 hour -> 1/3 pool

multiply this by 2

1 hour -> 2/3 pool

so D 2/3 pool

The fraction of the pool that would be filled per hour at the given rate is: D. 2/3 of the pool.

What is a Constant Rate?

A constant rate can be described as a quantity that changes steadlity over time.

The rate that the pool gets filled is given as:

1/2 hr = 1/3 of the water that would be filled in the pool

1 hr would be: 1/3 × 2 = 2/3

Therefore, the fraction of the pool that would be filled per hour at the given rate is: D. 2/3 of the pool.

Learn more about rate on:

https://brainly.com/question/25184007

A 50 ml IVPB bag of ampicillin 500 mg in normal saline is to be run in over 20 minutes. What is the infusion rate in ml/hr?​

Answers

Using proportions, it is found that the infusion rate is of 150 ml/hr.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 50 ml are administered over 20 minutes. How much is administered over one hour = 60 minutes? The rule of three is:

50 ml - 20 min

x ml - 60 min

Applying cross multiplication:

x = 50(60)/20

x = 50(3)

x = 150.

The infusion rate is of 150 ml/hr.

More can be learned about proportions at https://brainly.com/question/24372153

Here is an expression 3/5 divided by 1/4 ​Which situation matches this expression?
Which situation matches this expression?

A: An athlete runs 3/5 kilometers in 4 minutes. At that rate, how many kilometers does the athlete run in 1 minute?

B: A teacher fills an empty white pitcher with 3/5 gallons of water and an empty blue pitcher with 1/4 gallon of water. How many more gallons of water are now in the white pitcher than in the blue pitcher?

C: Mr. Smith has 3/5 pounds of beans. He uses 1/4 pound of beans each week. At the rate, for how many weeks will beans last?

D: A worker cuts pieces of string that are each 3/5 yards in length. How many pieces of string can the worker cut from a piece of string that is 1/4 yard in length?

Answers

Answer:

C

Step-by-step explanation:

To find A you have to divide 3/5 by 4 so that would not work.

To find B you have to subtract 1/4 from 3/5 and that doesn't match the problem.

To find C you do divide 3/5 by 1/4 which matches the problem.

And lastly for D you would divide 1/4 by 3/5 which is the opposite of what the question is asking for.

Compare using < , > , or =-1.75 and -1 3/4

Answers

Answer:

1.75 = 1 3/4

Step-by-step explanation:

1 3/4 = 1.75

Answer:

=

Step-by-step explanation:

-1.75 is the same as -1 3/4

Find the measure of the missing angle ​

Answers

Answer:

g=118 degrees h=62 degrees

Step-by-step explanation:

So we can use some angle rules that I forget the name of to solve this.

Let's look at angle g first. We know that the opposite angle is 118 degrees. So that also means that g is going to be 118 degrees.

Since g is 118 degrees we can find h. The angle of a line is 180 degrees. This means that we can do 180-118 to find h. h=62 degrees.

We can do the same thing for k and m. Try doing what I did for g and h for those two. Comment if you need help.

The radius of a circle is 15 m. Find its circumference in terms of π

Answers

C = 2 x pi x r

C = 2 x pi x 15 = 30 π

HELP!!!! I can’t figure this out

Answers

Answer:

A

Step-by-step explanation:

The following stem-and-leaf plot represents the scores earned by Mr. Wood's class on their most recent science test.



How many of the students scored less than an 85?

10
12
11
9

Answers

Answer:

11

Step-by-step explanation:

If you count the total values

it equals 11

A grocery store recently sold 20 cartons of yogurt, of which 5 were cherry. Based on past data, how many of the next 16 cartons of yogurt sold should you expect to be cherry?

Answers

Answer: 4

Step-by-step explanation:

It cost marci 33 cents to mail a postcard and 49 cents to mail a letter. she sent either a postcard or a letter to each of 28 people and spent $13.08. let x represent the number of postcards she wrote and write an algebraic expression for each item in parts a through c.

Answers

Answer:

24 Letters and 4 Postcards

Step-by-step explanation:

We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".

Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.

The second equation is the total sent: x + y =28.

Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.

We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.

If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.

Subtract 9.24 from both sides to get: 0.16y = 3.84

Divide both sides by 0.16 to get: y = 24.

Now we can plug this into x + y = 28 to see that x= 4.

You could make sure this is correct by solving for x instead of y and do the same process.

Hope this helps.

The part of the clock that is shaded is_______________________.

A) one-half hour

B) one-quarter hour

C) three-quarters hour

D) one-third hour

Answers

Answer:

b) one quarter hour

Step-by-step explanation:

every section is worth 5 minutes, there are three sections, which equals 15 minutes, 15 minutes is a one-quarter hour. hope this helps :)

Answer:

B

Step-by-step explanation:

it Is one quarter of an hour because they are exactly 15 minutes

Max made a journey of 700km partly by train and partly by bus.He started his journey at 8.00am. by train which travelled at 50km/hr. After alighting from the train, he took a lunch break of 30 minutes. He then continued his journey by bus which travelled at 75km/hr.The whole journey took 11.75hours. Determine the distance travelled by bus.​

Answers

I really don't know I'm not big on school subjects

I know the measure of angle m is 100 degrees. I did this multiple times and J and L are not 80 degrees so what are the measures of angles L and J?

Answers

Answer:

[tex]m\angle L = 100^{\circ}[/tex].

[tex]m\angle J = 80^{\circ}[/tex].

[tex]m\angle M = 100^{\circ}[/tex].

Step-by-step explanation:

Since segment [tex]JM[/tex] is parallel to segment [tex]KL[/tex], quadrilateral [tex]JKLM[/tex] is a trapezoid.

Segment [tex]JK[/tex] and segment [tex]LM[/tex] (the two legs of this trapezoid) are equal in length. Hence, trapezoid [tex]JKLM[/tex] would be an isoscele trapezoid. By symmetry, [tex]m\angle L = m \angle K = 100^{\circ}[/tex].

Line [tex]JK[/tex] traverses line [tex]JM[/tex] and line [tex]KL[/tex]. [tex]\angle J[/tex] and [tex]\angle K[/tex] are a pair of consecutive interior angles as they are both between [tex]JM\![/tex] and [tex]KL\![/tex] and are on the same side of the traversal, [tex]JK\![/tex].

Since line [tex]JM[/tex] is parallel to line [tex]KL[/tex], any pair of consecutive interior angles between these two lines would add up to [tex]180^{\circ}[/tex] (supplementary angles.) Thus, [tex]\angle J[/tex] and [tex]\angle K[/tex] are supplementary angles; [tex]m\angle J + m\angle K = 180^{\circ}[/tex].

Since [tex]m\angle K = 100^{\circ}[/tex], [tex]m\angle J = 180^{\circ} - m\angle K = 180^{\circ} - 100^{\circ} = 80^{\circ}[/tex].

Find the critical t-value that corresponds to % confidence. Assume degrees of freedom

Answers

Using a t-distribution, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

How to find the critical value for a t-distribution confidence interval?

It is found with the help of a calculator, having two inputs:

The confidence level.The number of degrees of freedom, which is one less than the sample size.

Hence, using a calculator, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

More can be learned about the t-distribution at https://brainly.com/question/16162795

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