A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 5488 cubic
feet. Find the dimensions of the pool.
Answers
Answer:
Dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Step-by-step explanation:
given that depth of pool = 8 ft
let say one side of pool that is width = x
so other side of pool that is lenght = 3.5x [ given ]
volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft
Volume of rectangular pool = length × width × depth of swimming pool
⇒ 4032 cubic ft = 3.5x × x × 8
⇒ 4032/(3.5 ×8 ) = x²
⇒x² = 144
⇒x = √144 = 12
⇒3.5x = 12 × 3.5 = 42
hence dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Step-by-step explanation:
Related Questions
In Ms. Perron’s class, 60% of the students are boys. There are 26 students in the class. What is the total number of boys in Ms. Perron’s class?
Help :'/
Answers
Answer:
Let the no. of students be X.
Boys = 60% of X .
So Boys = (60/100)*X.
So left 40% of students are girls and it is given they are 14.
So total students X= total boys + total girls.
X = (60/100)*X+14.
(40/100)*X = 14.
X = (14*100)/40.
X = 35.
X - (60/100)*X = 14.
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through
(–1, –2) and (3, 4).
Answers
first find the slope given the two points
plug in the slope and one of the given point into point intercept form
multiply out the equation to find slope-intercept form
Give 3 values for x that make the inequality true. x < 3
Answers
Answer:
2, 1, 0
Step-by-step explanation:
they are less than 3 (Please mark brainliest)
A solid gold ingot has a volume of 200 cm3 and a mass of 3.9 kg.
What is the density of gold?
Answers
Step-by-step explanation:
convert 3.9 kg to grams
3.9×1000=3900 g
density = mass/ volume
= 3900/ 200
=19.5 g/cm3
If a perimeter of a frame is 24 inches and it is 2inches wide what is the length of the frame
Answers
24 = 2l + 2*2
L = 10
Pls help quick number 2 and 3 pls!
Answers
Answer:
y=c (468) =e _24 the answer
f(x) = (x + 3)*(x + 1)
Answers
The two-way table shows the ages of the players on different soccer teams.
Answers
Answer:
3rd one down is the answer
A triangle has side lengths
that measure (3x + 4), (7x
+ 5) and (2x - 1). If the
perimeter of the triangle is
greater than or equal to 74,
what are the possible
values of x?
Answers
Answer:
x is greater or equal to 5.5
Step-by-step explanation:
Factor Completely::::
Answers
Answer:
x^2(x-9)(x+3) lmk if u need steps
Answer:
x^2 (x+3) (x-9)
Step-by-step explanation:
...............
helphelphelphelphelphelphelphelphelphelphelphelphelp
Answers
Step-by-step explanation:
just subtract everything
A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Saturday. There were 75 fewer cheeseburgers sold
than hamburgers. How many hamburgers were sold on Saturday?
Answers
Answer:
D.
Step-by-step explanation:
it is right
The usual price of a sweatshirt is $18, what is its sale price?
Answers
Answer:
I feel like there is more to that question can you put the whole question
if i had 39 containers of water and each container held 24 quarts. How many quarts water are in the 39 containers?
Answers
Answer:
936 quarts
Step-by-step explanation:
[tex]n=24*39=936quarts[/tex]
Plzz complete #’s 1, 3, 5, 7, and 9 first person with all correct answers will get brainliest
Answers
try using the app Photomath for numbers 1-3!
What is the angle of elevation from point A to point C?
Answers
Answer: b
Step-by-step explanation:
By the alternate interior angles theorem, the angle of elevation and the angle of depression have the same measure.
The measure of angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
It is given that:
The right-angle triangle is shown in the picture.
The right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
As the two lines are parallel to each other and a transversal is intersect the parallel lines so the angle would be same as 32 degrees
The angle A = 32 degrees
Thus, the measure of the angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle. Find the measures of all three angles.
Answers
Answer:
Step-by-step explanation:
A ≤ B ≤ C
C = 90°
B = A+42°
A+B = 90°
A+(A+42) = 90°
A = 24°
B = A+42° = 66°
24, 66, 90 are the measure of all three angles of the right angle triangle
What is right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle.
Let "x" be the smallest angle in a right angle triangle.
So, biggest angle in the triangle will be x +42
Since, sum of the all the angles in a triangle = 180
x + x+ 42 +90 = 180
2x + 42 = 90
2x = 48
x = 24
Measure of the smallest triangle =x = 24
Measure of the biggest angle = 24 + 42
Measure of the biggest angle = 66
therefore, The measure of all three angles of the right angle triangle are 24, 66, 90.
Learn more about right-angle triangle here:
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PLEASE HELP
If x = 3x + 4 - 1 , then what does -x equal?
Answers
Answer:
-4/5 = x
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
x = 3x + 4 - 1
we can subtract 1 from 4
x = 3x + 3
subtract 3x from both sides
-2x = 3
divide both sides by -2
x = -3/2
so -x would equal -(-3/2) = 3/2
What is the coefficient for x in the equation below?
7x + x = 14
a 7
b 1
c 2
d 10
Answers
Because that’s what I said
• Explain why 3 + x and x + 3 are equivalent.
Answers
Answer: Becuase of the communitive property
Step-by-step explanation:
For example say you have 5 + 6
5 + 6 = 11
6 + 5 =11
no matter how you flip it, it's always the same
What is the formula for 3cm, 5cm, and 4cm (3cm being the height and the 4 the base) and its a right triangle
Answers
Answer:
No se perdon nesesito puntos
374x+3=2995 ME GIVE BRAIN I MUST DO MY HOMEWORK you lifesaver...
Answers
Hi there!
x=8
1.Subtract the answer with the 3 / subtract the terms:
[tex]2995-3=2992[/tex]
2.Divide the two terms:
[tex]2992*374=x[/tex]
Therefore, x=8
3/6 + 2/6= improper fraction
Answers
Answer:
3/6+2/6=5/6is not improper fraction
find the mean of the set of the numbers given 25,20,23,22
Answers
Answer:
The Mean of the set of the numbers x⁻ = 22.5
Step-by-step explanation:
Given a set of the numbers
25,20,23,22
Mean of the given data
∑x/n
Mean of the given data
[tex]\frac{25+20+23+22}{4} = \frac{90}{4} = 22.5[/tex]
The Mean of the set of the numbers x⁻ = 22.5
the product of -4 and 6 is subtracted from the quotient of -100 by -5 . what is the answer please
Answers
Answer:
498
Step-by-step explanation:
so first multiply -100 by -5 to get 500
the word "by" indicates multiplication
Next subtract -4 and 6 by 500
so 500 - 6 - (-4) = 498
Please save me :( I am bad at math
Answers
Answer:
d. 11050
Step-by-step explanation:
1. you're dividing to see how much one costs, 4420 divided by 4 = 1105
2. multiply by 10, 1105 x 10 = 11050 (add a zero)
Answer:
i dont know the exact answer but i can give you the instuctions on how to do do it.
Step-by-step explanation:
1. Cut 4420 in half (4420 divided by 2). Store that for later. This is two hours.
2. Multiply 4420 by 2 (This will give you 8 hours which, in mathematics, when added with two is ten.)
3. Add the answers you got from 1 and 2 to get your answer.
And there you have it.
Hope this helps!
-Alex
Heidi is building a stone path in her garden. It needs to be 8 feet to 8 1/2 feet long. Drag stones into the box
Answers
Answer:
where are the stones
Step-by-step explanation:
Answer:
you have to figure out how big the stones are and add to the box accordingly
Step-by-step explanation:
Solve:
Write your answer in the following format:
(x,y)
with no spaces.
Answers
Answer:
it 10 because if x =9 then y=10
please help will give brainliest
Answers
Answer:
The third choice: 0.091
Step-by-step explanation:
There are only 9 cards with numbers that add up to 10:
19, 28, 37, 46, 55, 64, 73, 82, & 91
9/99 = 0.090909 or 0.091
PLZ help me on coordinate work
Answers
Answer:
M: (-12,-19) N:(20,5)
Step-by-step explanation:
M: Find the distance of the opposite side to angle N to figure out the distance of the same side of the side with angle M.
20-(-3)= 23
Use the distance to find the coordinates.
-4+23= 19
N: Find the distance of the opposite side to angle M to figure out the distance of the same side of the side with angle N.
-12-(-3)=-9
Use the distance to find the coordinates.
-4+9= 5
Answer:
N=(20,5)
M=(-12,19)
Step-by-step explanation:
Rectangular Coordinates
The diagram shows two identical and rotated triangles (assumed as right triangles).
We can visually identify there is a hypotenuse, a shorter leg, and a longer leg on each triangle.
The longer leg on the triangle at the left is the one that passes through (-12,-4) and M and should have the same length as the leg on the triangle at the right that passes through (-3,-4) and (20,-4). Subtracting the x-coordinates of these points we have its length = 20 - (-3) = 23.
The coordinates of M are (-12,y), where y = -4+23 = 19.
M=(-12,19)
The shorter leg has a length calculated as the difference in the x-coordinates of (-12,-4) and (-3,-4). L= -3+12 = 9.
The coordinates of N are (20,-4+9) = (20,5)
N=(20,5)