A pool shaped like a rectangle prism is 40 feet long 20 feet wide and 4 feet deep attached to the side of the pool is a hot tub with 1/4 the volume of the pool what is the total volume of the pool and hot tub?

Answers

Answer 1
Answer: V=legnth times width times height
pool=40 by 20 by 4
pool=40 times 20 times 4
pool=3200 ft^3
hot tub is 1/4 of pool
hot tub=1/4 times 3200=800

total is pool+hot tub=3200+800=4000 ft^3

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In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?

Answers

Answer:

Hence, the arc length is 2π feet or 6.28 feet.

Step-by-step explanation:

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.

If the central angle is measured in degrees than the arc length is given by:

arc length=(θ\360°)×2πr.

and if central angle is measured in radians than the arc length is given by:

arc length=θr. ( where r is the radius of the circle)

where θ is the central angle.

Hence, here we have:

r= 3 ft.

and θ=2π/3.

Hence the arc length is given by:

Arc length=(2π/3)×3=2π  feet.

Hence, the arc length is 2π feet or 2×3.14=6.28 feet.

Answer:

2 π

explanation:

I took the quiz

Find the value for X and Y

Answers

Answer:

x = 13

Step-by-step explanation:                        2       2.5

Write and solve an equation of ratios:  ------- = ---------

                                                                     8       x - 3

Cross-multiplying, we get 2x - 6 = 20.  Adding 6  to both sides:  2x = 26.

Then x = 13 units.x

What other information do you need to prove triangle GHK is congruent to triangle KLG by SAS

Answers

The angles of the shapes
shape
size

9(n+3)=7n-3 and steps please

Answers

The value of n in the given expression is -15

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

For example : - 3y+4, 8u+8, 9i+5, a+2, a+c etc.

Given that, an expression, 9(n+3) =7n-3, we need to find the value of n

Solving for n,

9(n+3) =7n-3

Using distributive property,

9n + 27 = 7n -3

Combining like terms, by transposing,

9n - 7n = -3-27

2n = -30

Diving by 2 both sides

n = -15

Hence, the value of n in the given expression is -15

Learn more about expressions, click;

brainly.com/question/14083225

#SPJ2

9n + 27 = 7n -3
2n + 27 = -3
2n = -30
n = -15

Please help there’s a picture
60°
60
Y=?

Answers

Answer:

Pretty sure it's 90 degrees

Step-by-step explanation:

Is 90
I hoped it helps

Where on a coordinate graph are the first numbers before the dashes located?

The coordinates in parenthesis are the answer choices. Where do they go?

Example on how to position your answers: (1, 1) and (0, 0) = 1 (Just an example, this is not a correct answer.)

8
4
10
12
Square root of 41
Square root of 68
Square root of 2
Square root of 50
-------------------------
(-10, 2) and (-2, 2)
(-3, -1) and (5, 1)
(-3, -2) and (1, 3)
(-3, -5) and (-2, -4)
(0, 0) and (5, 5)
(1, 2) and (1, -10)
(1, 2) and (5, 2)
(2, 3) and (10, 9)

Explain your answers thoroughly, please. Thank you! :D
Will pick Brainliest!

Answers

basiclly, we look at the 2 points below and find the distance between them, then we match

d=\sqrt{( x_(2) -x_(1) )^(2)+( y_(2)-y_(1) )^(2)}
when finding the distance between points (x1,y1) and (x2,y2)

if the x values, or y values are same, you don't need the distance formula, just use logic

(-10, 2) and (-2, 2)
the y value is the same so find the distance between the x values
from -10 to -2 is 8
8 matches with this one


(-3, -1) and (5, 1)
use distance formula
d=\sqrt{( 5-(-3) )^(2)+( 1-(-1) )^(2)}=√68


(-3, -2) and (1, 3)
input
d=\sqrt{( 1-(-3) )^(2)+(3-(-2))^(2)}=√41

(-3, -5) and (-2, -4)
input
d=\sqrt{( -2-(-3) )^(2)+( -4-(-5) )^(2)}=√2

(0, 0) and (5, 5)
input
d=\sqrt{( 5-0 )^(2)+( 5-0 )^(2)}=√50


(1, 2) and (1, -10)
x values are same so find distance between 2 and -10
answer is 12

(1, 2) and (5, 2)
y values are same
find distance between 1 and 5
answe ris 4


(2, 3) and (10, 9)
input
d=\sqrt{( 10-2 )^(2)+(9-3)^(2)}=10





ANSWERS (because the spacing has gone wierd)                                                           
(-10, 2) and (-2, 2)=8           
(-3, -1) and (5, 1)=√68             
(-3, -2) and (1, 3)=√41                       
(-3, -5) and (-2, -4)=√2             
(0, 0) and (5, 5)=√50             
(1, 2) and (1, -10)=12             
(1, 2) and (5, 2)=4               
(2, 3) and (10, 9)=10