Since 1 cubic feet = 62 pounds, the weight of the water that Jerry put in the aquarium is 558 pounds
How to calculate the volume/weight of waterWe have to find the volume of water in the aquarium.
Recall the shape of the aquarium is a rectangular prism. Therefore,
volume = lwh
where
l = lengthw = widthh = heightTherefore,
l = 3 ft
w = 2 ft
h = 1.5 ft
volume = 3 × 2 × 1.5
volume of water = 9 ft³
Therefore,
1 ft³= 62 pounds
9 ft³ = ?
cross multiply
weight of water = 9 × 62
weight of water = 558 pounds
learn more on volume here:https://brainly.com/question/24357711
Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft
180 cm ≈ _____ft ?
Answer:
that would be the circumference of the circle
= 2 pi r
= 2 * pi * 2
= 6.28 feet to 2 DP's.
Step-by-step explanation:
Answer:
6 ft
Step-by-step explanation:
Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft
[tex]Ft=\frac{cm}{30.48}\\\\Ft=\frac{180}{30.48}\\\\Ft=5.90551181\\\\Ft\approx 6[/tex]
180 cm ≈ 6 ft
Hope this helps!
Which expression represents the product of b and 18?
A. 18(b-18)
B. 18+b
C. 18/b
D. 18b
Answer:
You're answer is D.18b
Hey there!
The product of a number and 18 means you multiply that number times 18; the result is called the product.
When we multiply a number times a variable, we always write the number before the variable.
For example, we multiply 4 times d, and the result is 4d.
Let's check the options and see if we can spot something like "5a"
The first option: we multiply 18 times the difference of b and 18.
The second option: we add 18 and b
The third option: we divide 18 by b
The fourth option: we multiply 18 times b (That's the right option! We did it :)
Hence, the answer is
[tex]\boxed{\boxed{\bold{18b}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}[/tex]
Find the 70th term of the following arithmetic sequence.
17, 20, 23, 26,
Answer:
Since it starts at 17 and is increasing by 3 each time, the 70th term will be:
17 + 3(70) =
17 + 210 =
227
In conclusion, 227 would be the 70th term in the sequence.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Step-by-step explanation:
Tn = a + (n - 1)d
n = 70, a = 17, d = > 20 - 17 => 3
T_70 = 17 + (70 - 1)3
T_70 = 17 + 69•3
T_70 = 17 + 207
T_70 = 224
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting
two prime numbers?
Answer: 1/6
Step-by-step explanation: There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.
Pls show work thank you!!!
[tex]|-16-x|=0\\\\\implies -16-x = 0\\\\\implies x = -16[/tex]
If ((x) = x2+ 3x - 2, find f(-2).
f(x) = x² + 3x - 2
f(-2) = (-2)² + 3*(2) - 2 = 4 - 6 - 2 = - 4
where does leprechaun come from
Answer:
A leprechaun (Irish: leipreachán/luchorpán) is a diminutive supernatural being in Irish folklore, classed by some as a type of solitary fairy. They are usually depicted as little bearded men, wearing a coat and hat, who partake in mischief. In later times, they have been depicted as shoe-makers who have a hidden pot of gold at the end of the rainbow.
Answer:
Step-by-step explanation:
Remington is installing a fence around his
rectangular yard. His yard is 20 feet long
by 45 feet wide. If the fencing he picked
out costs $25 per foot, how much money
will be spent on the fence?
Answer:
$3,250
Step-by-step explanation:
Find the perimeter of the yard ( the distance around the yard).
A rectangle has two sides of each dimension.
The perimeter is 20 + 20 + 45 + 45 = 130 feet.
Now multiply the total feet by the cost per foot:
130 feet x 25 per foot = $3,250 total.
A laptop computer is purchased $1500. After each year , the resale value decreases by 25%. What will the resale value be after 5 years ? Round to the nearest dollar
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 6
Step-by-step explanation:
We know that the angles in a triangle add to 180°, so we can add the angles shown in this triangle together, make them equal to 180° and solve for x.
90° + (4x + 3)° + 63° = 180°
90° + 4x° + 3° + 63° = 180°
4x° + 156° = 180°
4x° = 24°
x = 6
So, x = 6. Hopefully, this helped! If you have any further questions, let me know.
Bernie bought five 30 L buckets of lawn fertilizer. How much fertilizer did he have in all?
Answer:
5 × 30 L = 150 L
______________
Function or not
x y
12 7
3 -2
-2 3
9 8
-12 12
Answer:
function
Step-by-step explanation:
x coordinates don't repeat
bord ke aussionas 10 feet of string to make 15 beaded bracelets. She needs binches of string for each Pracelde. Does she have enough string to make all the bracelets? Explain. (1 foot 12 inches).
hi can u show me the math but not in the word form thanks
Answer:
10x12=120 inches
Step-by-step explanation:
multiply 12 inches by 10 feet
Find the product. Simplify your answer.
(2w–1)(4w–2)
Answer:
8w² -8w +2
Step-by-step explanation:
(2w-1)(4w-2)
= 8w² -4w -4w + 2
= 8w² -8w +2
For 1-6, classify each triangle by its sides and then by its angle
Answer:
1) right angled triangle
2) isosceles triangle
3) equilateral triangle
4) scalen triangle
5) isosceles triangle
6) right angled triangle
how do you write a solution set when there are infinite solutions
Answer:
it depends
Step-by-step explanation:
sometimes a teacher will accept "there are infinite solutions" but if you cant you may need to do something else(this applies to basically everything)
for an example lets use x=1
(1,+infinity)
or
(1,-infinity)
(this is being graphed.) (this may not apply to everything)
i hope this helps
What is the slope of the line with equation y-3=-1/2 (x-2)?
Hello!
This equation is written in Point-Slope Form (y-y₁=m(x-x₁)
Where
y₁=y-coordinate of the point
m=slope
x₁=x-coordinate of the point
In this case, the slope is
[tex]\boxed{\boxed{\bold{\frac{1}{2}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Answer:
C) 1/2
Step-by-step explanation:
woof woof
SU is a midsegment of AQRT.
If OR = z-40 and SU = z - 49, what is the value of z?
I just need one example to understand this because forgot how to do it
Answer:
z = 58
Step-by-step explanation:
Since SU is a midsegment of QRT, the length of SU is one-half the length of RQ.
[tex] \frac{1}{2} (z - 40) = z - 49[/tex]
[tex]z - 40 = 2z - 98[/tex]
[tex]z = 58[/tex]
Which of the binomials below is a factor of this expression?
121A^2 - 64B^2
A. 121A + 8B
B. 11A + 8B
C. 121A + 32B
D. 11A + 32B
Answer: 11A+8B
Step-by-step explanation:
Simplify cos^4x+(2cos^2x)(sin^2x)+sin^4x
Answer:
cos4(x)+2cos2(x)sin2(x)+sin4(x)
Step-by-step explanation:
Need help with this geometric question ASAP, Thank you
The square root of the cube of 4 is equal to
3 or 4 or 16 or 8 or 2
Answer:
Step-by-step explanation: 1.587401052
Answer:
8
Step-by-step explanation:
this means
[tex] \sqrt{ {4}^{3} } [/tex]
4³ = 4×4×4 = 64
the square root of 64 is 8.
What part of the expression below should be calculated first 8 x {22 x [15 + (14 x 2)]} A 8+22. B 22×15. C 14x2. D 15+14.
Answer:
14*2
Step-by-step explanation:
8 x {22 x [15 + (14 x 2)]}
With multiple parentheses work from the inside out
The inner most parentheses are
14*2
Three and one fifth of 1 1/2 is what number?
Answer:
3 1/5 = 16 / 5
1 1/2 = 3 / 2
16 / 5 * 3 / 2 = 48 / 10 = 24 / 5
The correct answer is 24 / 5 = 4 4 /5
(You can check on your calculator)
A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the
angles of the triangle?
А. 30°, 60° and 90°
B. 33.47°, 56.53° and 90°
C. 36.87°, 53.13° and 90°
D. 40.16°, 49.84° and 90°
Answer:
option c
Step-by-step explanation:
Let the sides of the right angled triangle = x , (x +1) , (x +2)
Perimeter = 12 feet
x + x +1 + x + 2 = 12
x +x + x + 1+2 = 12
Combine like terms
3x+ 3 = 12
Subtract 3 from both sides
3x = 12- 3
3x = 9
Divide both sides by 3
x = 9/3
x = 3
x + 1 = 3 + 1 = 4
x + 2 = 3 + 2 = 5
The sides of the triangle are 3 , 4 ,5
The biggest side will be the hypotenuse.
So, hypotenuse = 5 ft. other legs are 3 and 4
[tex]\text {Sin \ $\theta$ = $\dfrac{opposite \ side \ of \ \theta}{hypotenuse}$ } \\\\\\ = \dfrac{4}{5}\\\\\\Sin \ \theta = 0.8\\\\\theta = Sin^{-1} \ 0.8\\\\\theta = 53.13 \ ^\circ[/tex]
another angle = 180 - [ 90 + 53.13]
= 180 - 143.13
= 36.87°
rounded to the nearest hundredth how many meters are in 32 ft (1 m = 3.28)
Answer:
9.76 M
Step-by-step explanation:
32/3.28
9.756097561
9.76
Find x on the triangle geometry please help
Answer:
[tex]\sf x=7\sqrt{6}[/tex]
Step-by-step explanation:
As the base angles of the triangle are the same, then the legs of the right triangle are also equal. Therefore, we can use Pythagoras' Theorem to calculate x.
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of the right triangle)
Given:
a = 7√3b = 7√3c = xSubstituting the given values into the formula:
[tex]\sf \implies (7\sqrt{3})^2+(7\sqrt{3})^2=x^2[/tex]
[tex]\sf \implies147+147=x^2[/tex]
[tex]\sf \implies x^2=294[/tex]
[tex]\sf \implies x=\sqrt{294}[/tex]
[tex]\sf \implies x=\sqrt{49 \cdot 6}[/tex]
[tex]\sf \implies x=\sqrt{49}\sqrt{6}[/tex]
[tex]\sf \implies x=7\sqrt{6}[/tex]
[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow cos45=\dfrac{7\sqrt{3}}{x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{2}}=\dfrac{7\sqrt{3}}{x}[/tex]
[tex]\\ \rm\Rrightarrow x=7\sqrt{3}\sqrt{2}[/tex]
[tex]\\ \rm\Rrightarrow x=7\sqrt{6}[/tex]
The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.
Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.
Answer:
Step-by-step explanation:
Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.
. There is 40% decresed in price on a sale. It is futher decresed by 5% find the total decreased percentage
Let x be the original price of the object.
After the 40% discount, the price of the object now becomes;
x-0.4x=0.6x
0.6x is our new price after the first discount.
Now if we want to find the price after the second discount, (5%)
That would come off to be;
0.6x-0.6(0.05)x=0.6x-0.03x=0.57x
Our last price is 0.57x
If you notice, there was a 43% discount in total, as it goes to 57% of its original price.
This is very non intuitive for some people, as they may think there will be a 45% discount.
1ST TO ANSWER GETS BRAINLIEST
What is the total area of the patio, walkway, and garden?
Answer:
82 ft²
Step-by-step explanation: