The water in the mattress weighs approximately 1,747 pounds.To find the weight of water in the mattress, calculate the volume by multiplying the dimensions and then multiply the volume by the weight of water per cubic foot.
To determine the weight of the water in the mattress, follow these steps:
Calculate the volume of the waterbed mattress by multiplying its dimensions:
Volume = 7 ft * 4 ft * 1 ft = 28 ft³
Next, use the given weight of water per cubic foot to find the total weight:
Weight of Water = Volume * Weight per Cubic Foot
Weight of Water = 28 ft³ * 62.4 lb/ft³
Finally, multiply these values:
Weight of Water = 28 * 62.4 = 1,747.2 lb
To the nearest pound, the weight of the water in the mattress is 1,747 pounds.
If the measurement of a central angle is 77 degrees find the length of its intercepted arc in a circle with a radius of 15 inches.
Answer:
20.2 inches ;)
Step-by-step explanation:
If mAD=85 degrees and mBC=31 degrees find the value
By the properties of angles on a circle, the degree measure of x in the circle is 11 degrees
Calculating the degree measure of xFrom the question, we have the following parameters that can be used in our computation:
The circle
The angle in a circle is 360 degrees.
So, we have
Unused arcs = 360 - 85 - 31
Unused arcs = 244
This means that
2(13x - 21) = 244
So, we have
13x - 21 = 122
This gives
13x = 143
Evaluate
x = 11
Hence, the degree measure of x is 11 degrees
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What happens when you square a cubed root or cube a square root and problems like these. Please tell me how to do it!
How long would it take to travel 630 miles at the rate of 35 miles per hour? 18 h 35 h 220 h 350 h
Answer:
18h
Step-by-step explanation:
at 4:00 am,there were 800,000 gallons of water remaining at a reservoir.after 4 hours of irrigation,there were 100,000 gallons of water remaining.write an equation that describes the number of gallons of water as a function of the time the field has been irrigated
50 points! Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled, and the sum of their outcomes is found. Each player gets a chance to guess the correct sum, and the player that guesses the correct sum wins the game.
Dustin decides to guess a sum of six. Melanie decides to guess a sum of seven.
Which player made the better decision? ________
Answer:
Melanie is the right answer
Step-by-step explanation:
Melanie made the better decision if Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
Dustin and Melanie are playing a game, where two standards, six-sided number cubes are rolled.
If the sum is 6:
The possible outcomes are = {(3,3), (2,4), (4,2), (1,5), and (5,1)}
Total outcomes = 5
If the sum is 7:
The possible outcomes are = {(1,6), (6,1), (5,2),( 2,5), (3, 4), (4,3)}
Total outcomes = 7
Thus, Melanie made the better decision if Dustin and Melanie are playing a game, where two standards, six-sided number cubes are rolled.
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two positive integers have a sum of 17 and a product of 66
if she can read 22 pages in 1 hour how many hours did she read in 114.5 hours
What is the solution of the equation 5x – 1 = 45? Round your answer to the nearest ten-thousandth
Final answer:
The solution to the equation 5x – 1 = 45 is x = 9.2, rounded to the nearest ten-thousandth.
Explanation:
The solution of the equation 5x – 1 = 45 is x = 9.2.
To solve this equation, we can start by isolating the variable x. Add 1 to both sides of the equation to get 5x = 46. Then, divide both sides by 5 to solve for x, giving us x = 9.2.
Therefore, the solution to the equation 5x – 1 = 45 is x = 9.2, rounded to the nearest ten-thousandth.
What is the value of x in the equation 1/5x-2/3y=30,when y =15?
How do you determine whether to draw the boundary line of the graph of a linear inequality dashed or solid?
PLEASE HELP ON THIS AND EXPLAIN
THX
what does X equal to ?
Answer:
x= 15
Step-by-step explanation:
We can use cross products to solve this problem
7 2x+5
-- = --------
3 x
7x = 3(2x+5)
Distribute
7x = 6x +15
Subtract 6x from each side
7x-6x = 6x-6x+15
x = 15
In ∆TUV, Y is the centroid. If TW = 30, what is YW?
Answer:
answer is 10
Step-by-step explanation:
Angle A is a right angle in △ABC.
Which side is opposite to angle A?
side BC
side AB
side AC
Option 1 is correct. The side opposite to angle A is side BC, which is the hypotenuse.
In a triangle, the side opposite the right angle is known as the hypotenuse. Since angle A is given as a right angle in △ABC, the side opposite this right angle will be the hypotenuse.
In △ABC:
Side AB is adjacent to angle A, forming one leg of the right triangle.
Side AC is also adjacent to angle A, forming the other leg of the right triangle.
Side BC is opposite angle A and is the longest side of the triangle, making it the hypotenuse.
Therefore, side BC is opposite to angle A in △ABC.
Complete question:
Angle A is a right angle in △ABC.
Which side is opposite to angle A?
1. side BC
2. side AB
3. side AC
At the pet store, 3 cats are brown with stripes, 2 cats are orange with stripes, and 5 cats are solid brown. What is the probability of a cat being brown or having stripes?
Answer:
Its 1 or 100%
Step-by-step explanation:
what is the answer to f(2)=2-5(2)
The amount of grass seed needed to cover a lawn is proportional to its area. The lawn is rectangular and has an area of 2c^2 + 2c square meters. Factor this polynomial to find possible expressions for the length and width of the lawn. (Assume the factors are polynomials.) HELP ASAP!!
Use the data to create a scatter plot.
Size (lb)
8
12
9.5
5
7
7.5
Time (h)
5
6.5
4
3.5
2
5
Number 11 please....
which of the following are polynomial functions?check all that apply
(answers in picture)
Answer:
Step-by-step explanation: It is only c and e i just did the test.
A pair of jeans originally cost $80, but is on sale for 30% off. there is a coupon available for an additional 10% off of the sale price. how much do the jeans cost with the coupon?
NEED HELP ASAP!
to find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit of 8 feet tall, measures the angle of elevation to the top of the pole to be 36°. to the nearest foot, what is the height of the pole?
a. 87 feet
b. 95 feet
c. 71 feet
d. 79 feet
Answer:
95 feet
Step-by-step explanation:
Refer the attached figure.
A surveyor moves 120 feet away from the base of the pole i.e. BC = 120 feet.
BC= ED = 120 feet (refer the figure)
Height of transit i.e. DC = 8 feet
DC = EB = 8 feet (refer the figure)
The angle of elevation to the top of the pole to be 36° i.e. ∠ADE = 36°
Height of pole = AE+EB
To find AE use trigonometric ratio
[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]
[tex]tan36^{\circ}= \frac{AE}{ED}[/tex]
[tex]0.726= \frac{AE}{120}[/tex]
[tex]0.726*120= AE[/tex]
[tex]87.12 = AE[/tex]
Height of pole = AE+EB = 87.12+8 = 95.12 feet≈95 feet
Hence the height of pole is 95 feet
Zhi bought 18 tickets for games at a fair. Each game requires 3 tickets. Zhi wrote the expression 18 – 3g to find the number of tickets she has left after playing g games. Diego correctly wrote another expression, 3(6 – g), that will also find the number of tickets Zhi has left after playing g games. Use the drop-down menus to explain what each part of Zhi's and Diego's expressions mean.
Yes, Zhi's expression multiplies the tickets per game by the number of games to get the number of tickets used and then subtracts this amount from the total tickets.
plz help "geometry"
the intersection of roads M and N creat a 71.4 degrees what are the complumentry and suplumentry angels of this intersection
A 161.4' ; 18.6'
B 18.6'; 161.4'
C 108.6' ; 18.6'
D 18.6' ; 108.6',
The DIAMETER of a sphere is doubled. What is the new volume of the sphere?
A)
8/3πr3
B)
16/3πr3
C)
32/3πr3
D)
64/3πr3
1. Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much algae will be in the pond after 12 hours? (1 point)
would it be 720lbs
What is the period for the graph of y
Ashur solves the following system of linear equations.
Which statement about the solution to this system can he say is true?
The values of a and b are both equal to –4.
The values of a and b are both equal to 4.
The value of a is equal to 4, and b is equal to –4.
The value of a is equal to –4, and b is equal to 4.
The given equations that make up the systems are:
-3a+7b=-16...................(Equation 1)
-9a+5b=16...................(Equation 2)
To find the values of a and b we will have to solve the two equations. To solve the equations let us employ the method of elimination.
Let us multiply (Equation 1) by -3. This will give us:
[tex] -3\times (-3a+7b=-16)=9a-21b=48 [/tex]...........(Equation 3)
Let us now add (Equation 2) to (Equation 3) to eliminate a. This will give us:
-16b=64
[tex] \therefore b=-4 [/tex]
Plugging this value of b in any of the equations we will get the value of a. Let us plug it in (Equation 1). This gives:
[tex] -3(-4)+7b=-16 [/tex]
[tex] 12+7b=-16 [/tex]
[tex] \therefore b=\frac{-28}{7}=-4 [/tex]
Thus, out of the given options, the first option is the correct one. The values of a and b are both equal to –4.
The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the sequence?