Find the volume . Round to the nearest tenth

Find The Volume . Round To The Nearest Tenth

Answers

Answer 1

volume: 1740 ft³

[tex]\sf volume\ of \ the \ prism = volume \ of \ rectangle \ + \ volume \ of \ triangular\ prism[/tex]

[tex]\sf volume\ of \ the \ prism =length * width * height+ \ \dfrac{1}{2} * base * height * length[/tex]

[tex]\sf volume\ of \ the \ prism =15* 10* 8+ \ \dfrac{1}{2} * 9* 12* 10[/tex]

[tex]\sf volume\ of \ the \ prism =1200+ 540[/tex]

[tex]\sf volume\ of \ the \ prism =1740[/tex]

Answer 2

Answer:

1740 ft³

Step-by-step explanation:

Volume

= Volume of right triangular prism (upper) + Volume of cuboid (below)

= 1/2L₁B₁H₁ + L₂B₂H₂

= 1/2 x 12 x 10 x 9 + 15 x 10 x 8

= 5 x 108 + 120 x 10

= 540 + 1200

= 1740 ft³


Related Questions


A triangle has sides with lengths of 6 yards, 10 yards, and 12 yards. Is it a right triangle?
yes
no
Submit

Answers

I believe yes is the answer

Liz wants to hang a painting on her
wall so that it is centered. The wall is
110 inches wide, and the painting is
28 inches wide.
3
Determine how far the edges of the
painting need to be from the ends of
the wall, expressed as a mixed number.

Answers

Answer:

[tex]41\frac{1}{8}[/tex]

At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 15 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round your answer to three decimal places.)

Answers

Distance is the product of speed and time. The rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.

What is the distance?

Distance is the product of speed and time. It is given by the function,

[tex]\rm Distance = Time \times speed[/tex]

Given at noon the distance between two ships is 170 km. Furter ship A is moving towards the east at a speed of 40 km/h, therefore, the distance covered by Ship A in 4 hours will be,

[tex]\rm \text{Distance covered by Ship A in 4 hours} = 4 \times 40 = 160\ km[/tex]

The distance covered by Ship B in 4 hours will be,

[tex]\rm \text{Distance covered by Ship B in 4 hours} = 4 \times 15= 60\ km[/tex]

At 4 pm the distance between the two ships is the hypotenuse of the red triangle as shown below,

[tex]\rm Hypotenuse = \sqrt{10^2 + 60^2} = \sqrt{100+3600 }= 60.827\ km[/tex]

The rate of change in the distance between the two ships can be written as,

[tex]\rm \text{Rate of change of distance} = \dfrac{170-60.827}{4} = 27.293\ km/h[/tex]

Hence, the rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.

Learn more about Distance:

https://brainly.com/question/15100898

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Shortly after their arrival, Europeans began introducing pigs to the Americas as a source of food. Some escaped, and others were intentionally released into the wild,
where they thrived. Assume that the wild pig population is modeled by the
formula P = P0•(1.2)^t .If there were five million wild pigs in 2010 (no one really knows the exact number), what was the population of wild pigs in 2000?

Answers

Answer: About 800 thousand

The more accurate value is 807,528 but this is also an approximation.

=======================================================

Work Shown:

[tex]t = \text{number of years since the year 2000}[/tex]

[tex]P_0 = \text{population (in millions) in the year 2000}[/tex]

[tex]P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\[/tex]

That's the rough population of wild pigs (in millions) for the year 2000.

Multiply by [tex]10^6[/tex] to get it in terms of units instead.

[tex]0.807528\times10^6 = 807,528[/tex]

There were roughly 800 thousand wild pigs in the year 2000.

please help and please leave a legit answer

Answers

Answer:

y= -12/x + 3

Step-by-step explanation:

Here's my answer

how many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 8% alcohol?

Answers

[tex]\begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{pure~alcohol}\\ \cline{2-4}&\\ \textit{25\% solution}&x&0.25&0.25x\\ \textit{5\% solution}&y&0.05&0.05y\\ \cline{2-4}&\\ mixture&20&0.08&1.6 \end{array}~\hfill \begin{cases} ~\hfill x + y &= 20\\\\ 0.25x+0.05y&=1.6 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{x+y=20\implies \underline{y = 20-x}} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.25x~~ + ~~0.05(\underline{20-x})~~ = ~~1.6}\implies 0.25x+1-0.05x=1.6 \\\\\\ 0.20x+1=1.6\implies 0.2x=0.6\implies x=\cfrac{0.6}{0.2}\implies \boxed{x=3}[/tex]

Help again please 33 points

Answers

The answer is 56.



Firstly you have to multiply the 2 numbers together, which would be the places of b and h. This would give you 112.

Then, divide 112 by 2 to give you a final answer of 56.

Answer:

the answer is 56in2

Step-by-step explanation:

[tex]b = 14in \\ h = 8in \\ area \: of \: triangle = \frac{1}{2} b \times h \\ = \frac{1}{2} \times 14 \times 8 \\ = 56inches[/tex]

Plss answer it, it is supposed to be done-
Use the shape to complete Questions 8, 9, and 10.

8. Draw a triangle around a point

9. Draw a box around a line segment.

10. Circle an angle.​

Answers

The answers to the question are all attached given that they are all drawings. The subject here is shapes, lines, and angles.

What is a Triangle around a Point?

A triangle around a point is a triangle that is constructed such that a point is equidistant from all the angles and all the sides that triangle. This point is thus referred to as the circumcenter of the triangle.

The triangle in the attached image is drawn around point D.

What is a Line Segment?

A Line segment is the part of a line with two endpoints. The box in the diagram is drawn between points A and B.

What does it mean to circle an angle?

When you put a circle around an angle, you have circled that angle. This most case is used to highlight an angle.

Learn more about shapes at:
https://brainly.com/question/25965491

Please help!

Olivia's mom decided to wallpaper the living room. At the store, the wallpaper was selling for $11.68 for a roll with 100 linear feet. What is the price per linear foot of the wallpaper?

Answers

If 2 things sell for 4 dollars, we divide the money by the number of things to get how much money per thing.

So, 10/5 = 2

The things will cost $2 each.

Same thing.

If 100 rolls cost $11.68, then

11.68 divided by 100 will give us the price per roll.

11.68/100 = 0.1168

Each roll will cost 0.1168 dollars.

Use the quadratic formula to solve the equation 2k(k+5)= -25

Answers

So, we need to solve the quadratic equation from quadratic formula as per the question, but before starting, let's first recall that, for any quadratic equation of the form ax² + bc + c = 0, the discriminant is given by D = b² - 4ac, and the value of x is given by :

[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]

Also, their are no real solutions of x i.e their are only imaginary values of x iff D < 0, equal and real roots iff D = 0 and real and distinct roots iff D > 0. So, let's convert the given equation to the standard form ax² + bx + c = 0 and then we will find the discriminant and then we will be solving for k ;

[tex]{:\implies \quad \sf 2k(k+5)=-25}[/tex]

[tex]{:\implies \quad \sf 2k^{2}+10k=-25}[/tex]

[tex]{:\implies \quad \sf 2k^{2}+10k+25=0}[/tex]

Now, on comparing this with the standard equation, we will get a = 2, b = 10 and c = 25, and then D = (10)² - 4 × 2 × 25 = 100 - 200 = - 100, now as D < 0, so their will be imaginary values of k, so now solving for k will yield by using the Quadratic Formula ;

[tex]{:\implies \quad \sf k=\dfrac{-10\pm \sqrt{-100}}{2\times 2}}[/tex]

[tex]{:\implies \quad \sf k=\dfrac{-10\pm 10\iota}{2\times 2}}[/tex]

[tex]{:\implies \quad \sf k=\dfrac{2(-5\pm 5\iota)}{2\times 2}=\dfrac{-5\pm 5\iota}{2}}[/tex]

[tex]{:\implies \quad \boxed{\bf{k=\dfrac{-5+5\iota}{2}\:\:,\:\: \dfrac{-5-5\iota}{2}}}}[/tex]

This is the required answer

In triangle ABC, what is the measure of A if a = 11, b = 13, and c = 7?
57.79°
49.62°
38.17°
32.21°
pls

Answers

Answer:

A= 57.79 degrees

B= 32.58 degrees

C= 89.63 degrees

Step-by-step explanation:

hope this helps!

Answer:

A. 57.79

Got it right on Plato

Amelia needs to buy some dog food. At the nearest store ,5 bags of dog food cost 12.50 how much would Amelia spend on three bags

Answers

Answer:

$7.50

Step-by-step explanation:

the question can be represented with:
12.5/5 and x/3

12.5/5 is 2.5, so that means each bag of dog food is $2.5  
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.

Answer:

Step-by-step explanation:

Remark

I take it you mean 5 and not 0.5.

If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.

Formula

Number of bags/Cost = new number of bags/Cost of the new number

Givens

original Number of bags  = 5

Cost = 12.50

New number of bags = 3 bags

Cost = x

Solution

5/12.50 = 3/x           Cross Multiply

5x = 12.50 * 3          Combine the right

5x = 37.5                  Divide by 5

5x/5 = 37.5/5

x = 7.5

Answer: 3 bags cost 7.50 dollars.

Whats the answer to this

Answers

Answer:

about 11

Step-by-step explanation:

The area of the circle

Answers

Answer:

A=1

4πd2=1

4·π·122≈113.09734

Step-by-step explanation:

Answer:

113.04 feet :)

Step-by-step explanation:

First we divide 12 by 2 to find the radius!

12/2 = 6

Now we can solve!!

3.14(6^2)

3.14(36)

113.04

Have an amazing day!!

Please rate and mark brainliest!!

I need help figuring out the answers

Answers

Answer:

The answer would be The answer would be 26 meters squared.

Step-by-step explanation:

1. Identify three rectangles
(The ones I identified were 5 by 2 [twice!] and 3 by 2)
2. Do 5x2 (10)
3. Do 5x2 again (10)
4. Do 3x2 (6)
5. Add 10, 10, and 6, to get 26
6. Label to get 26 meters squared. I hope this helps! :)

help pretty please!

Cyrus lives 11 miles due south of Adriana, Adriana live 19 miles due west of Jane, Jane lives 12 miles due south of Madisyn.

The shortest distance between Cyrus' house and Jane's house is

•21.95
•481.802
•0.52

The shortest distance between Adriana's house and Madisyn's house is

•504.901
•22.47
•44.42

Answers

Answer:

A.) 21.95

B.)22.47

Step-by-step explanation:

A.) An easy way to solve this is to use the Pythagorean theorem. Since the only person between Cyrus and Jane is Adriana, we will use her as a measuring point. Adriana's distance to Jane is 19, we will set a = 19, Adriana also is 11 miles away from Cyrus, and we will set b = 11. Now we plug it into the Pythagorean theorem.

[tex]a^2+b^2=c^2\\19^2+11^2=c^2\\\sqrt{482} =\sqrt{c^2}\\ 21.95=c[/tex]

B.) Using the same principle but for Adriana and Madisyn, we will use Jane as she is between them. Adriana is 19 miles from Jane, so we will set a=19, Madisyn is also 12 miles from Jane, so we will set b=12. Plug it for the Pythagorean theorem.

[tex]a^2+b^2=c^2\\19^2+12^2=c^2\\505=c^2\\\sqrt{505}=\sqrt{c^2}\\ 22.47 = c[/tex]

Approximate square root of 35 using an appropriate linear approximation.

Answers

Answer:

5.91

Step-by-step explanation:

35 is between the perfect squares 25 and 36.

√25 = 5

√36 = 6

     /            5         25       \

    |      d                       10   |

1  <              x          35         >    11

    |                                 1    |

     \            6          36       /

11/1 = 10/d

11d = 10

d = 0.909

√35 = 5 + d = 5.909

√35 = 5.91


At midnight the temperature
was -12°C. Twelve hours
later the temperature had risen
19°C. What was the midday
temperature?

Answers

Answer:

7C

Step-by-step explanation:

Worth 100 points IF answered correctly:

Answers

8/6 is the answer because 8 x 1/6 is 4/3 and 8/6 = 4/3

Answer:

8/6

Step-by-step explanation:

Sam has 8 times the number of eggs Kyle has can be expressed as:

[tex]\displaystyle \large{8\cdot \dfrac{1}{6}}[/tex]

As given, the number of eggs Kyle has is 1/6 so out of 6 eggs, Kyle only had 1.

Therefore, 8 multiplies/times the number of eggs is:

8/6

39 28. If y = (1 - 3x), find the value of dy! dx at x = -1.​

Answers

Answer:

the answer to this question is 52.18

Question 5 (1 point)
A tow truck exerts a force of 1000 N on a car, accelerating it at 0.5 m/s/s. What is
the mass of the car?

Answers

Answer:

tangina napaka pogi ko +41

HELP, i need help!!!!!!!!!!!!!!

Answers

Answer:

t = 7.46, 0.42

Explanation:

h = 126t - 16t²    [ "h" is height, "t" is time ]

when height is 50 feet

126t - 16t² = 50-16t² +126t -50 = 016t² -126t +50 = 0

==================

[tex]\sf use \ quadratic \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]

==================

[tex]\Longrightarrow \sf t = \dfrac{-126\pm \sqrt{126^2-4\left(-16\right)\left(-50\right)}}{2\left(-16\right)}[/tex]

[tex]\Longrightarrow \sf t = \dfrac{63\pm\sqrt{3169}}{16}[/tex]

[tex]\Longrightarrow \sf t = 7.46, \ 0.42[/tex]

Let's find

h=126t-16t²

Put h=50

-16t²+126t=50-16t²+126t-50=0

Use quadratic formula

[tex]\\ \rm\Rrightarrow t=\dfrac{-126\pm\sqrt{126²-4(-16)(-50)}}{-32}[/tex]

[tex]\\ \rm\Rrightarrow t=7.5s,0.4s[/tex]

What is the area of the figure?
A. 18 yd
B. 54 yd
C. 72 yd
D. 90 yd​

Answers

The correct answer is C

I solved by multiplying 9 x 5 and 3 x 9 and adding them.

Hope this helps

Convert 85 miles per hour to meters per second. (Use 1.61 km = 1 mile)
show the steps​

Answers

Answer:

  38.0 m/s

Step-by-step explanation:

Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.

__

  [tex]\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}[/tex]

How can you use mental math to find 195 × 6?

Answers

You can x 6 by all the number like 5x6 then 9x6 than 1x6 and and your numbers Carried

Mikes parents bought him new gaming console he gets 72612312 games n puts in 5312 how much does he have left

Answers

Answer:

Seventy-two million, six hundred and seven thousand games remaining

please mark brainliest

Answer:

72607000

Step-by-step explanation:

just subtract 5312 from 72612312

Alyssa is enrolled in a public-speaking class. Each week she is required to give a speech of
greater length tharr the speech she gave the week before. The table below shows the
lengths of several of her speeches.
Alyssa's Speeches

Answers

Answer: this question search it up because i don't think and know if anyone knows this even i don't know so sorry

Step-by-step explanation:

help me find Find m< G .

Answers

Answer:

∠G=110°

Step-by-step explanation:

The 4 interior angles of a kite add up to 360. 100+40=140. 360-140=220. E and G are the only angles left so we know together they must equal 220. And ∠E and ∠G are congruent angles beceause of kite rules. So, we divide by 2 to get how much angle E and G are individually.

11. Joe lists his expenses to make a budget. Which of
these is a variable expense?
A. He pays about $400 in rent.
B. He spends $95 a month eating at
restaurants.
C. He pays $250 each month for his car
payment.
D. His cable bill is $40 each month

Answers

Answer:

B

Step-by-step explanation:

Because of inflation, prices at restaurants would go up.

i need help with this one

Answers

The value of x from the given figure is 8

How to calculate the interior angle of a triangle

A triangle is a 2-dimensional shape with 3 sides an interior angle

Since the sum of the interior angles of a triangle is 180 degrees, hence;

8x - 4 + 76 + 44 = 180

8x + 116 = 180

8x = 180 - 116

8x = 64

x = 64/8

x = 8

Hence the value of x from the given figure is 8

Learn more on interior angle of a triangle here: https://brainly.com/question/8611232

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