A flotation device used for swimming lessons is the shape of a rectangular prism. It is 2 1/2 feet wide, 4 1/8 feet long, and 1/2 foot tall. What is the volume of the flotation device? 1. 5 5/32 cubic feet 2. 7 1/8 cubic feet 3. 8 1/32 cubic feet 4. 10 5/16 cubic feet

Answers

Answer 1

Answer:

[tex]V=5\dfrac{5}{32}\ feet^3[/tex]

Step-by-step explanation:

Given that,

The width of prism, b = 2 1/2 feet

Length, l = 4 1/8 feet

Height, h = 1/2 foot

We need to find the volume of the flotation device. The formula for the volume of a rectangular prism is given by :

[tex]V=lbh\\\\V=\dfrac{5}{2}\times \dfrac{33}{8}\times \dfrac{1}{2}\\\\=\dfrac{165}{32}\ feet^3\\\\=5\dfrac{5}{32}\ feet^3[/tex]

So, the volume of the flotation device is equal to [tex]5\dfrac{5}{32}\ feet^3[/tex].


Related Questions

Pls help !! Will give brainliest

Answers

Answer:

the first one (25x + 30y is less than or equal to 100)

Step-by-step explanation:

money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.

What is the complement to Angle 1 if it measures 63 degrees​

Answers

Answer:

27º

Step-by-step explanation:

complementary angle is equal to 90º

90 - 63 = 27

Can’t get the answer right ? Anyone know what it is ???!??????

Answers

Answer:

Step-by-step explanation:

to find ∠QPS   we need the arc SQ  and RS   we will take  1/2(RS-QS) = QPS

find QS :

360 = RS + RQ + QS

360 = 150 + 110 + QS

100 = QS  

now plug into formula above

∠QPS = 1/2(150-100)

∠QPS = 1/2(50)

∠QPS = 25°

PLEAE HELP THIS ONE IS FIND AREA!!! BRANLIEST WILL BE GIVEN. REAL ANSWER NO LINKS PELASE

Answers

Answer:

(C) 92 in²

Step-by-step explanation:

Shaded area is:

A = 9*12 - 4*4 = 92 in²

Answer:

C. 92 in²

Step-by-step explanation:

the area of shaded region =

(12×9)-(4×4)

= 108 - 16

= 92 in²

The longest straw that can fit inside a 5-inch cylindrical cup, if the straw is placed at an angle in the cup, is 6
inches
What is the approximate length of the cylinder's radius

Answers

Answer:

yo i do primavara to imma do 3.9

Step-by-step explanation:

oh and also if your grades are bad just do to the dashboard page and highlight you grade percentedge and click inspect if you know and if you see you number pecent on the inspect and right click and click edit as htl and change it to any percent you want then just click out of the inspec option and you will have A S AND B S

The approximate length of the cylinder's radius will be 3.3 inches. Then the correct option is A.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The longest straw that can fit inside a 5-inch cylindrical cup, if the straw is placed at an angle in the cup, is 6 inches.

Then the approximate length of the cylinder's radius will be given by the Pythagoras theorem.

Let x be the length of the radius. Then we have

x² = 6² - 5²

x² = 36 - 25

x² = 11

 x = √11

 x = 3.316

 x ≅ 3.3

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

DUE TOMORROW
3. A math teacher asked 60 randomly
selected seventh-grade students
whether they are left-handed or
right-handed. The table below
shows the results of this survey.
Left- or Right-Handed?
Hand Frequency
Left
18
Right
42
A school has a total of 280 seventh-
grade students. Based on the results
shown in the table above, how many
of those seventh-grade students
would you expect to be left-handed?
A 60
B 72
C 84
D 120

Answers

Answer:

c. 84   if wrong its 72 because im not sure if its esimated but if not its right.

Step-by-step explanation:

42x4.5=189

18x4.5=81

=270

84 of those seventh-grade students would you expect to be left-handed.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, have,

from 60 students ,

left handed = 18

now, from 280 students,

left handed = 280/60*18

                   =84

hence, 84 of those seventh-grade students would you expect to be left-handed.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

I need help please

x+y>4

Answers

The answer my be B or C not sure

please help me otherwise I will fail , find the hypotenuse of traingle, which has base = 24 and perpendicular = 10​

Answers

Answer:

26 is the hypotenuse

Step-by-step explanation:

a² + b² = c²

Given:

a = 24

b = 10

Work:

a² + b² = c²

24² + 10² = c²

576 + 100 = c²

c² = 676

[tex]\sqrt{c^2} =\sqrt{676}[/tex]

c = 26

Answer:

Solution given:

by using Pythagoras law

hypotenuse ²=perpendicular ²+base².

hypotenuse ²=10²+24²

hypotenuse=√676=26

so

hypotenuse=26

how do I solve 5 + 2x = 25 using distributive property? ​

Answers

Answer:

Use the distributive property to evaluate the expression 5(2x – 3) when x = 2. 5(2x ...

Step-by-step explanation:

answer:

x=10

step-by-step explanation:

let us solve your equation step-by-step

5+2x=25

step 1: simplify both sides of the equation

2x+5=25

step 2: subtract 5 from both sides

2x+5−5=25−5

2x=20

step 3: divide both sides by 29

2x/2=20/2

x=10

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Miss Clara, the teacher at the school, has one
large classroom with 25 students. The
dimensions of the classroom are 30 units by
30 units. Each desk is two units wide by
three units long. How much space will be
leftover after all the desks are in the room?

Answers

Answer:

750 units.

Step-by-step explanation:

30 x 30 = 900 units (total space in the classroom)

2 x 3 = 6 units (how much space each desk takes up)

25 x 6 = 150 units (number of desks for each student)

900 - 150 = 750 units

Hope this helped!

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 9cm, and the base has a radius of 4cm. How much water is needed to fill 150 cups? Use 3.14 for π, and do not round your answer.

Answers

Answer:

22608cm³

Step-by-step explanation:

Step 1

We find how many liters of water can be contained in 1 cup. We do this by finding the volume of the cup.

Cup is shaped as a cone

The volume of a cone = πr²h/3

Where

r = radius = 4cm

h = height = 9cm

π = 3.14

Hence,

Volume of the cone (cup) =

3.14 × 4² × 9/3

= 150.72 cm³

Step 1

How much water is needed to fill 150 cups?

1 cup = 150.72 cm³ of water

150 cups = x

Cross Multiply

x = 150 × 150.72 cm³

x = 22608 cm³ of water

Therefore, 22608cm³ of water is needed to fill 150 cups

PLZ ANSWER If a triangle is rotated about the y-axis as shown below, what three-dimensional polyhedral would be formed?

Answers

Answer:

A cone

Step-by-step explanation:

The diagram that shows the rotation of the triangle is not shown, but the question can still be solved.

The rotation of a triangle will form a cone; in fact a cone is referred to as a rotated triangle.

When rotated, the base of the triangle will form the circular base of the cone; the slant lengths of the triangle will form the slant length of the triangle.

The height of both shapes will remain the same.

Answer:

Cone

Step-by-step explanation:

Just took the test

The circumference of a circle is 100.48 meters. What is the circle's radius?
Use 3.14 for pi

Answers

the radius is 32 units

What is the new ratio?
6:12= 20: ?

Answers

Answer:

6:12 = 20:40

Step-by-step explanation:

[tex]\frac{6}{12} =\frac{20}{y}[/tex]

6:12 = 20:y

Cross multiply.

6 × y = 12 × 20

6y = 240

6y ÷ 6 = 240 ÷ 6

y = 40

please help

h(t)=-t²+12t+5​

Answers

Answer:

Step-by-step explanation:

nate form assuming t is real:

h(t) + (t - 12) t = 5

Alternate forms:

h(t) = 5 - (t - 12) t

h(t) + t^2 = 12 t + 5

Roots:

t = 6 - sqrt(41)

t = 6 + sqrt(41)

Properties as a real function:

Domain

R (all real numbers)

Range

{h element R : h<=41}

Derivative:

d/dt(-t^2 + 12 t + 5) = -2 (t - 6)

Indefinite integral assuming all variables are real:

integral(-t^2 + 12 t + 5) dt = -t^3/3 + 6 t^2 + 5 t + constant

Global maximum:

max{-t^2 + 12 t + 5} = 41 at t = 6

Answer:

dhdhejxjdjbdjflfsjsjebeiebeid eoc dje

Cost of Water Bottles Number of Water Bottles Cost 3 5 $3.90 $6.50 $10.40 8 What is the price per water bottle? Enter the answer in the box.​

Answers

Answer:

2.6

Step-by-step explanation:

it would be 2.6 because you minus 3.90 and 6.50

9^(2x) • 27^(3-x) = 1/9

Answers

Answer:

[tex]\huge\boxed{x=-11}[/tex]

Step-by-step explanation:

[tex]9^{2x}\cdot27^{3-x}=\dfrac{1}{9}\\\\9=3^2;\ 27=3^3;\ \dfrac{1}{9}=3^{-2}\\\\\text{therefore}\\\\(3^2)^{2x}\cdot(3^3)^{3-x}=3^{-2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\3^{2\cdot2x}\cdot3^{3(3-x)}=3^{-2}\\\\3^{4x}\cdot3^{9-3x}=3^{-2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\3^{4x+9-3x}=3^{-2}\\\\3^{x+9}=3^{-2}\iff x+9=-2\qquad|\text{subtract 9 from both sides}\\\\x+9-9=-2-9\\\\x=-11[/tex]

What is the value of x? what is the measure of

Answers

Answer:

x = 21, ∠ ABE = 55°

Step-by-step explanation:

∠ ABD is right and

∠ ABE + ∠ DBE = ∠ ABD , that is

3x - 8 + x + 14 = 90

4x + 6 = 90 ( subtract 6 from both sides )

4x = 84 ( divide both sides by 4 )

x = 21

Then

∠ ABE = 3x - 8 = 3(21) - 8 = 63 - 8 = 55°

2. Which unit would you use (centimetres,
square centimetres, or cubic centimetres)
to measure each of the following?
a) the length of ribbon around a photo:
frame
b) the wrapping paper covering a gift
c) the distance around a pattern block
d) the amount of space in a shoe box
e) the amount of soil in an ant farm

Answers

Step-by-step explanation:

A. square centimeters

B. centimeters

C. square centimeters

D. centimeters

E. cubic centimeters

A pizza restaurant has a toddler play area with a ball pit. The ball pit has 1000 red balls, 500 green balls, and 100 yellow balls
ffa ball is randomly picked from the pit, what is the probability it is yellow? A. 1/100 B. 1/16 C. 1/15 D. 1/10

Answers

Answer:

1/100

Step-by-step explanation:

Molly looked more sophisticated when she wore her business suit

Answers

Answer: A

Step-by-step explanation:

Select all the equations that have graphs with the same y-intercept.
A:
y = 3x - 8
B:
y = 32 - 9
C:
y 3 + 8
D:
y 528
8
Any help??!

Answers

Answer:

A, D, E

Step-by-step explanation:

y=mx+b b is the y-intercept

I can see that 3 equations have -8 as a y-intercept so select those

Ex: y=3x-8

Figure WXYZ is a square. Three of the vertices are at X(1, 3), Y(1, 2),
and Z( 4, 2). What is the location of W?

Answers

Answer:

W(4,3)

Step-by-step explanation:

how is that a square?

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 35pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

The correct answer is 88/9ft or 9.7ft

... tbh idek anymore

Answers

1/4 is the correct answer
1/4 because 3/12 transfers to 1/4

What is the value of y=7— 2x when x
=4?

Answers

Answer:

y=-1

Step-by-step explanation:

y=7-2x      x=4

plug in x : y=7-2*4

y=7-8

y=-1

Answer:

-1

Step-by-step explanation:

-2 times 4 = -8

7-8=-1


Ericka's book is 675 pages long and she has read 325 pages so far. If Ericka reads 80 pages per day,
how many more days will it take her to finish the book?

Answers

Answer:

It would take around 5 Days

Estimate 121.45 ÷ 10.87

Answers

Answer:

11

Step-by-step explanation:

11 all u got do i use ur calculator

81x2/9x-7y + 49y2/7y-9x​

Answers

Answer:

9x3+7y3−9x−7y

Step-by-step explanation:

simplify

Answer:

9x3+7y3−9x−7y

Step-by-step explanation:

just simplify then u get this answer

1. An account is opened with a balance of $2800
earning 4.25% simple interest. What will be the
balance in the account in 30 years?

Answers

Answer:

The simple interest in the account will be $3570 and the total amount including principle and simple Interest  will be $6370

Step-by-step explanation:

firstly ,

Given That

principal(p)=$2800

Rate(R)=4.25%

Time(T)=30 years

now , we have from formula

simple interest (S.I)=   P × T ×R / 100

    =   (2800×30×4.25)    /   100

    =  $3570  

Therefore , Simple Interest in 30 years will be $3570

now , we know

Amount(A) =  Principal (P) + Interest (I)

                 =    $2800 + $3570

                   = $ 6370

Therefore the simple interest in 30 years will be $3570 and the total amount in the bank will be $6370 .

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