Mathematics College

question in pictures

Answers

Answer 1

Answer:

V = 252 m³

Step-by-step explanation:

Formula for volume of a triangular prism = base area × height of prism

We are given the height (H) of the prism = 9 m

Let's find the base area using the figure of the base that is shown above with the dimensions:

Base area = ½*bh

b = 14 m

h = 4 m

Base area = ½*14*4

= 28 m²

✅Volume of the triangular prism = 28 × 9

= 252 m³

Related Questions

A property that offers a 7.5 percent return on the listing price has a monthly net of $810.
The property is listed at

Answers

Answer:

$129,600

Step-by-step explanation:

Given that

The return percentage is 7.5%

And, the monthly net is $810

We need to find the property listed price

Since we assume that the return percentage is on annual basis

So, for monthly, it is

= 7.5% ÷ 12

= 0.625%

Now the property listed price is

= $810 ÷ 0.625%

= $129,600

Solve for x using the picture above.

Answers

There are two tengents in the picture. The two tangents being drawn from the same point to the circumference of the same circle are aslo the same in their lengths. In other ways, the two tengents in the picture are the same.
So, 4x - 2= 3x + 18
4x - 3x = 18 + 2
x = 20
So, the value of x is 20.

find the perimeter of each polygon. Assume that lines which appeared to be tangent are tangent.

Answers

9514 1404 393

Answer:

A) 54.4

Step-by-step explanation:

The perimeter of a circumscribing quadrilateral is twice the sum of the lengths of opposite sides.

P = 2(17.6 +(2.9 +6.7)) = 2(27.2)

P = 54.4

Answer:

perimeter of each polygon

Quita bought a jacket priced at $90. The sales tax rate on the jac
was 7%.
How much was the sales tax in dollars and cents on this jacket

Answers

Answer:

Sales tax= $6.30

Jacket= $0.9630

Step-by-step explanation:

Jacket price= $90

Sales tax= 7%

Sales tax in dollars

=7/100×90

=$6.30

Jacket in cents

=$90+$6.30

=$96.30 ÷100

=$0.9630

A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%

Answers

Step-by-step explanation:

You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)

Solve for X
A.45
B.35
C.25
D.30

Answers

D. 30

90+60=150
180-150=30

Grade 5 math. ! 30 points !

During the month of june, jessica volunteers at a library every 6 days and at a veterinarians office every 10 days. jessica’s first visit to the library was on June 6 and her first visit to the veterinarian office was on June 1th.

What day in June will jessica volunteer at both locations?

Anwser Options

june 6

june 10

june 18

june 20

june 24

june 30

Answers

The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.

What is LCM?

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

For instance: The LCM of 2 and 3 is 6.

Given:

Jessica volunteers library every 6 days,

Jessica's veterinarian's office, every 10 days,

So for her visit to both, the place takes the LCM of 6 and 10,

LCM of 6 and 10 = 30,

Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.

Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.

To know more about LCM:

https://brainly.com/question/20739723

#SPJ2

Answer:June 30th

Step-by-step explanation:

So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.

Two lines intersect, and you know the measure of one angle. How can you determine the measures of the other three angles

Answers

Answer:

Opposite angles are the same measure.

Angles around a point = 360°

When you add all the angles, you get 360.

Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.

Then, you half that value( divide by 2) and this is to find the measure of the other angle

The answer is angle around the point =360

Image below! PLEASE HELP! THIS IS DUE!

Answers

Answer:

270 if not simplified and

1/1 if simlifies

Step-by-step explanation:

The angles in this diagram are complementary. What is the value of x?
(4x)
(2x + 6)

Answers

Answer:

2(4)+6(4)

Step-by-step explanation:

Distribute

(4)(2+6)

(4x)(2x+6)2(4)+6(4)

2x(4x)+6(4x)

Solution

2(4)+6(4)

Please give brainliest :)

ILL GIVE BRAINLIEST PLZZ I NEED THIS

Answers

Answer:

[tex]by \ pythagoras \ theorem : \\(3x +1 )^2 = (3x - 1)^2 +x^2\\\\9x^2 + 6x +1 = 9x^2 + 1 -6x +x^2\\\\9x^2 + 6x +1 = 10x^2 + 1 -6x \\\\ 10x^2 + 1 -6x - 9x^2 -6x -1 = 0 \\\\x^2 -12x = 0\\x(x - 12) = 0\\x = 0, 12\\since \ length \ cannot \be \ 0, x = 12\\OJ = 3x + 1 = 3(12) +1 = 37[/tex]

[tex]by \ pythagoras \ thm, \\(7x -12) ^2 = (5x +10)^2 +(2x)^2\\\\49x^ 2 +144 - 168x = 25x^2 +100+ 100x +2x^2\\\\49x^ 2 +144 - 168x - 25x^2 -100- 100x -2x^2 = 0\\\\22x^2 -268x -44 = 0\\11x^2 - 134x - 22 = 0\\x=12.0154[/tex]

What is the measure of angle SQR?

Answers

Answer:

All sides are the same length (congruent) and all interior angles are the same size (congruent). if Sqr refers to square

It is and sir butbgfbbgk

A prism_________ has two congruent, parallel bases.
A: sometimes
B: always
C: never

Answers

A prism always has two congruent, parallel basses.

Answer:

A prism will always have two congruent parallel bases.

Step-by-step explanation: the definition of a prism is: a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. Hope that helps and rate brainiest please!

In triangle JKL, the length of side JK is 12 feet, and the length of side KL is 15 feet. Which of the following could be the length of side JL?
A.
27 feet
B.
30 feet
C.
3 feet
D.
4 feet

Answers

Answer:

Step-by-step explanation:

every 2 sides of a triangle has to be bigger than the 3rd side

(-14, 3), (20, -11) slope

Answers

Answer:

= -7/ 17

Step-by-step explanation:

To find the slope when given two points

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

= ( -11-3)/(20- -14)

= (-11-3)/(20+14)

= -14/34

Divide top and bottom by 2 to simplify

= -7/ 17

Answer:

-7/17

Step-by-step explanation:

Plug these points into the equation y2-y1/x2-x1. In this case, the y2 value is -11 and the y1 value is 3. In this case, the x2 value is 20 and the x1 value is -14. Therefore, the equation is -11-3/20--14. This is equal to -14/20+14 which is equal to -14/34. This is equal to -7/17. Therefore, the slope is -7/17

If this helps please mark as brainliest

Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.

Answers

Answer:

Step-by-step explanation:

Standard form for a circle is

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius

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

x² + y² - 18x + 24y = -200

Rearrange

(x² - 18x) + (y² + 24y) = -200

Complete the square for x

(x - 9)² + (y² + 24y) = -200 + (-9)²

Complete the sqaure for y

(x - 9)² + (y + 12)² = -200 + (-9)² + 12²

(x - 9)² + (y + 12)² = 25

Now the equation is in standard form

r² = 25

r = 5

Therefor Diameter = 10

There are 24 students in a class. 8 of the students are boys. Write th amount of the boys in the class as a fraction in its simplest form.

Answers

Step-by-step explanation:

the number of students =24

number of boys =8

to have in fraction

8/24 = 1/3

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,...

Answers

Answer:

It is an arithmetic sequence and the common difference is 5

Step-by-step explanation:

4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)

In an Arithmetic Sequence, there is a common number added or subtracted from each term to get the next
In a Geometric Sequence, there is a common number multiplied or divided from each term to get the next

4, 9, 14
(4+5) = 9
(9+5) = 14

So sequence is arithmetic and the common difference is 5

Select the correct solution in each column of the table

Answers

Answer:

2,1,3

Step-by-step explanation:

What is the expected value for the binomial
distribution below?

1/3125
4/625
32/625
128/625
256/625
1024/3125

Answers

Answer

999.224

Step-by-step explanation:

Expected value = Summation of (x•px)

px is addressed as pdf (probability distribution function)

x px. x•px

1. 1/3125. 1/3125

20. 4/625. 16/125

160. 32/625. 1024/125

640. 128/625. 16384/125

1280. 256/625 65536/125

1024. 1024/3125. 335.544

total:. 1. 999.224

taking my pdf as x/3125

The expected value of the binomial distribution is 4

How to determine the expected value?

The expected value of a binomial distribution is calculated using:

[tex]E(x) = \sum x * P(x)[/tex]

Using the table of values, we have:

[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]

Evaluate the expression

E(x) = 4

Hence, the expected value of the binomial distribution is 4

Answers

Answer: 5.0

Step-by-step explanation:

help asap pls need help by 1230 pt thanks

Answers

Answer:

acute, isosceles

Step-by-step explanation:

Acute: all angles are less than 90°

Isosceles: 2 sides are the same length, the other is not

Have a great day! :D

What time is it? Cuz for me it’s 2:55 bby

Which function is represented by the graph ?!

Answers

Testing testing testing testing testing

Which measure of variability is the most appropriate for this set of values?

13, 42, 104, 36, 28, 6, 17

A.
range
B.
interquartile range
C.
mean absolute deviation
D.
absolute deviation
E.
either interquartile range or mean absolute deviation

Answers

Answer:

The answer is 100% NOT absolute deviation,

My first guess was range but their is a chance it's wrong.

Answer:

B.interquartile range

Step-by-step explanation:

Got correct on eedmentum...

Please what’s the answer will give brainliest

Answers

Answer:

8.66 cm

Step-by-step explanation:

From the diagram :

The vase of the triangle = 9.9cm - 4.9 cm = 5cm

Hence, using Pythagoras rule :

Opposite = √hypotenus² - Adjacent²

Opposite = √10²-5²

Opposite = √100 -25

Opposite= √75

= 8.66 cm

The half-life of caffeine in a person's bloodstream is about 6 hours. If a person's bloodstream contains 70 milligrams of caffeine,how much of that caffeine will remain after 15 hours ?

Answers

Answer:

12.4 mg

Step-by-step explanation:

a = p(1/2)^(t/h)

p is the initial quantity = 70

t is the time = 15

h is the half life = 6

plug in the givens

a = 70(1/2)^(15/6)

a = 12.3743686708

12.4 mg

HELP WILL MARK BRAINLIEST

Answers

Answer:

Runner A

Step-by-step explanation:

most consistent pace dots are close together and don't have any outliers like b and c do

2 5/6 times 8 as a mixed number.

Answers

Answer:

lets make it an improper fraction:

17/6 x 8/1(consider 8 over 1) = 22 2/3

Simplify first though

17 x 8 divide by 2 = 4

_____

6 divide by 2 = 3 (8 and 6 are divisible by 2)

Your new simplified multiplication:

17 x 4

_____ then you can do your multiplication across.

4( − 5 ) – 10 = 2 ( + 6 ) and check your answer

Answers

Answer:

- 30 < 12

Step-by-step explanation:

4(- 5) - 10 = 2 (+ 6)

- 20 - 10 = 12

- 30 < 12

P9-17 Comparing Investment Criteria [LO1, 2, 3, 5, 7] Consider the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 –$221,117 –$16,136 1 27,200 5,520 2 60,000 8,304 3 60,000 13,962 4 425,000 9,960 Whichever project you choose, if any, you require a 6 percent return on your investment. a. What is the payback period for Project A?

Answers

Answer:

3.17 YEARS

Step-by-step explanation:

Payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative cash flows

Payback period = Amount invested / cash flow

Payback period for option A, Product A

Amount invested = –$221,117

Amount recovered in year 1 = –$221,117 + 27,200 = -193,917

Amount recovered in year 2 = -193,917 + 60,000 = -133,917

Amount recovered in year 3 = -133,917 + 60,000 = -73,917

Amount recovered in year 4 = -73,917 + 425,000 = 351,083

Payback period = 3 years + (73,917 / 425,000) = 3.17 years

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question in pictures