The area of a vertical cross-section through the center of the pool is 24 square feet for a cylindrical swimming pool having height of 4 feet and a circumference of 75.36 feet.
Area is the total space occupied by a 2D figure.
Given the following,
Height of the pool, h= 4 feet
Circumference of pool, C= 75.36 feet
C=2πrh
On substituting the values of h=4 and π=3.14
[tex]75.36=2\times 3.14\times r\times 4\\\\[/tex]
[tex]r=\dfrac{75.36}{2\times 3.14\times 4}\\r=3[/tex]
Thus the given pool is of radius 3 feet.
Vertical cross-sectional area of a cylinder= Area of rectangle
Area of cross-section = Width*Height
Here for a cylindrical pool,
Width of cylindrical pool=2r=2*3
Width of cylindrical pool=6 feet
Height of cylindrical pool= 4 feet
Area of cross section =6*4
Area of cross section= 24 square feet
Thus, the cross-sectional area of a pool is 24 square feet.
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The points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function. Which equation represents that function?
Answer:
Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated
Step-by-step explanation:
Answer:
D, f(x)=5x
got it right
Please answer this question
x^2 = 11x
[tex] {x}^{2} = 11x \\ {x}^{2} - 11x = 0 \\ x(x - 11) = 0[/tex]
Product is equal to 0 when one of multipliers is equal to 0, so
[tex]x = 0[/tex]
Or
[tex]x - 11 = 0 \\ x = 11[/tex]
Answer: x=0 or x=11
Answer:
Step-by-step explanation:
x^2 = 11x
x ( x − 11 ) = 0
x = 0 (by transposing)
x − 11 = 0
x=11 (by transposing)
therefore, x= 0,11
Hope it Helps...pls Mark as Brainliest!!
find the area of the kite brainly
Answer:
The area is 128.605[tex]meters^2[/tex]
Step-by-step explanation:
The formula for the area of a triangle is :[tex]\frac{base*height}{2}[/tex]
To work this out you would first have to divide the shape into 4 smaller triangles.
Then we are going to first calculate the area of on the bottom triangles. To do this we would multiply the base of 8.5 and the height of 10.2, this gives you 86.7[tex]meters^{2}[/tex]. Although you would normally divide the answer by 2, as there are 2 identical triangles that is not necessary.
Now that we know the area of the bottom triangles we can now work out the top triangles. You can do this by multiplying the base op 8.5 by the height of 4.93, this gives you 41.905[tex]meters^2[/tex].
To work out the total area of this shape you would simply add the areas of 86.7 and 41.905, this would gives you [tex]128.605meters^2[/tex]. This is because we first broke the shape down so you could work out the area of each individual area, however to work out the total all the areas must be added up.
1) Divide the shape into 4 smaller triangles.
2) Multiply 8.5 by 10.2.
[tex]8.5*10.2=86.7meters^2[/tex]
3) Multiply 8.5 by 4.93.
[tex]8.5*4.94=41.905meters^2\\[/tex]
4) Add 86.7 and 41.905.
[tex]86.7+41.905=128.605meters^2[/tex]
Rocky has 7 bottles of water. He will buy bottles of water from the store. The store has 8 cases in stock and each case contains 24 bottles of water. The store will not sell partial cases. The function that models the number of bottles of water Rocky will have after his purchase is F(c) = 24c +7, where c is the number of cases of water he buys.
What is the theoretical domain of the function?
A)
All Real Numbers
B)
All Real Numbers From 1 To 8, Inclusive
C)
{31, 55, 79, 103, 127, 151, 175, 199}
D)
All Integers From 1 To 8, Inclusive
Answer:
A)
All Real Numbers
Step-by-step explanation:
Every integer is a real number.
What is the greatest common factor if 9 and 15
Answer:
3
Step-by-step explanation:
It is three because 3×5 is 15 and 3×3 is 9 so the greast common factore is 3.
A and B are vertical angles. If m A = (4x + 14) and m B = (5x – 5)º,
then find the measure of A
Vertical angles are equal/congruent
4x+14=5x-5
X=19
4(19)+14= 90
Angle A= 90
Does anyone know the answer to this?
Answer:
show us the graph
Step-by-step explanation:
a. A = {men with good set of teeth} empty or non empty?
Answer:
de choices i see are matcheing up to A not sure tho could be C
Step-by-step explanation:
codeine
what’s the answer for this
Answer:
Area of parallelogram A = base x height = 2 x 1 = 2 (in2)
Hope this helps
:)
need help asap will mark brainliest
Answer:
1725 ft²
Step-by-step explanation:
[tex]\frac{50+65}{2} *30[/tex] = [tex]\frac{115}{2} *30= 57.5*30 = 1725[/tex]
Answer:
1,950 ft
Step-by-step explanation:
it is a compound shape, thus it is made up of a square and a triangle
you can find the area of the square by 30 x 50 and the area of the triangle by 30 as the height and 65 - 50 as the base, and when you add it together you get 1,950
Which statement about the parabola is not true?A. The focus lies on the axis of symmetry.B.The directrix of the parabola is parallel to the axis of symmetry.C. Each point on the parabola is equidistant from the directrix and the focus
Answer:
Option B
The directrix of the parabola is parallel to the axis of symmetry
Step-by-step explanation:
The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.
A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.
The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.
The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.
We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"
So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.
For a general parabola:
y = a*x^2 + b*x + c
The line of symmetry is at:
x = -b/2a
While we know that in a parabola the directrix is a horizontal line.
So the axis of symmetry and the directrix are perpendicular lines.
Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"
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Scarlett and Mia work at a furniture store. Scarlett is paid $185 per week plus 3% of her total sales in dollars, x x, which can be represented by g ( x ) = 185 + 0.03 x g(x)=185+0.03x. Mia is paid $23 per week plus 9% of her total sales in dollars, x x, which can be represented by f ( x ) = 23 + 0.09 x f(x)=23+0.09x. Determine the value of x x, in dollars, that will make their weekly pay the same.
Answer:
They must sell 2700 dollars to recieve the same sallary.
Step-by-step explanation:
The expression for Scarlett's sallary is:
g(x) = 185 + 0.03*x
The expression for Mia's sallary is:
f(x) = 23 + 0.09*x
In order for them to recieve the same sallary they must sell:
185 + 0.03*x = 23 + 0.09*x
0.09*x - 0.03*x = 185 - 23
0.06*x = 162
x = 162/0.06 = 2700
They must sell 2700 dollars to recieve the same sallary.
Mrs. Dominguez asked her students to plot the number of books they read over the summer.
Using the dot plot, how many students read two books?
1
2
3
6
Answer:
6
Step-by-step explanation:
Answer:
6 students read 2 books
Can someone help me!!
ASAP
Answer:
It would be 30
Step-by-step explanation:
6*5=30
Find the volume of the cone khan academy
Answer:
V= 1/3 pi*r^2*
Step-by-step explanation:
The reason the volume of a cone involves using the fraction 1/3, is because it takes three cones to fill up a cylinder. So, if the volume of a cylinder is pi*r^2*h, and a cone is 1/3 the size, then the volume of a cone(which uses the same formula) has to have the 1/3rd in front.
Trigonometry!! Please Help picture attached
Answer:
[tex]\sin B=\dfrac{3\sqrt{58}}{58}[/tex]
[tex]\cos B=\dfrac{7\sqrt{58}}{58}[/tex]
[tex]\tan B=\dfrac{3}{7}[/tex]
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is[tex]\frac{3}{\sqrt{58}}=\frac{3\sqrt{58}}{58}[/tex]. The cosine is the adjacent side divided by the hypotenuse, which in this case is [tex]\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}[/tex]. The tangent is the length of the opposite side divided by the length of the adjacent side, which in this case is simply [tex]\frac{3}{7}[/tex]. Hope this helps!
Find the lowest common denominator. 1/(x+2)^2, 1/(x-2)^2, 2/x^2-4
Answer:
The lowest common denominator is x² - 4
Step-by-step explanation:
We want to find the lowest common denominator of the fractions 1/(x+2)², 1/(x -2)², 2/(x²-4)
First note that
x² - 4 = (x - 2)(x + 2)
So, 2/(x²-4) = 2/(x - 2)(x + 2)
The other two terms contain (x - 2)² and (x + 2)²
Therefore, the lowest common denominator is (x-2)(x+2) = x² - 4
What is the slope of the line through (-2,-6)(−2,−6)left parenthesis, minus, 2, comma, minus, 6, right parenthesis and (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis?
Answer:
The slope of the line through (-2,-6) and (2,2) is 2
Step-by-step explanation:
The slope of the line through the two points; (-2,-6) and (2,2) is; 2
According to. the equation;
We are required to find the slope of the line through; (-2,-6) and (2,2)The slope, m is therefore;
Slope, m = (2 -(-6))/(2 -(-2))Slope, m = (2+6)/(2+2)Slope, m = 8/4Slope, m = 2.
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A waitress serves $950. Worth of dinners and recieves &95.00 in tips how much less in tips did she receive if she had gotten her 15% of the cost of meals
Answer:
She receives $47.5 less
Step-by-step explanation:
Now, the first thing to do here is to calculate what 15% if the total amount is
That would be 15/100 * 950 = $142.5
The amount she receives less is thus $142.5 -$95 = $47.5
Answer:
The amount less that she received than if she had received 15% of the cost of the meal is $47.5
Step-by-step explanation:
Here we have the amount of dinners served by the waitress = $950
Amount received in tips = $95.00
Amount the waitress would have received if she had gotten 15% of the cost of meals served = 15/100 × $950 = $142.5
Therefore, since she received $95.00, the amount less that she received than if she had received 15% of the cost of the meal is thus;
$142.5 - $95 = $47.5.
A scientist used 786 millimeters of liquid for an experiment. How many liters of the liquid did the scientist use for the experiment?
Answer:
0.786 liters
Step-by-step explanation:
Answer:
0.786 liters
Step-by-step explanation:
There is 1000 milliliters in a liter. (I'm assuming you meant milliliters instead of millimeters? Otherwise they are not compatible)
milliliters : liter
1000 : 1
786 : 0.786
35x-13x=x-1
I don’t know
Answer:
x = [tex]-\frac{1}{21}[/tex]
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 13 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
35x - 13x = x - 1
→ Simplify
22x = x - 1
→ Minus x from both sides to isolate -1
21x = -1
→ Divide both sides by 21 to isolate x
x = [tex]-\frac{1}{21}[/tex]
The fine schedule for overdue books at the county library is modeled by values in the table
Answer:
What is the table? what are the values? If you can't insert a picture please type the like f(x)= y
Step-by-step explanation:
Answer:
I beleive the answer is choice B...
Step-by-step explanation:
In the chart if you divide the number of days over due to the cost of the fine, you get 5/2 every time. therefore, if y is the cost in cents and x is the days overdue, you would multiply x5/2 or y=5/2x, so your answer is B (y=5/2x)
the perimeter of a circle is 132 calculate its diameter
Answer:
42
Step-by-step explanation:
The perimeter of circle is same as it’s circumference.
Circumference = π * D
132 = 22/7 * D
22D = 7 * 132
22D = 924
D = 924/22
D = 42
Answer:
42.0
Step-by-step explanation:
For this question we are given the circumference of a circle which is 132 and we are asked to find diameter of the circle. We need to utilise one important formula which the circumference of a circle formula
⇒ Circumference of a circle = π × d
We need to make 132 equal to the circumference of a circle formula so then we can work out the diameter by forming an equation to solve for the diameter so,
⇒ Form the equation
→ π × d = 132
⇒ Divide both sides by π to isolate d
→ d = 42.0169049763
The diameter of the circle with a perimeter of 132 is 42.0 to 1 decimal place
PLZ HURRY I'M GOING TO GET A LOT OF QUESTION S
What is the surface area of the composite figure shown? 107 square feet 172 square feet 279 square feet 321 square feet
Answer:
it is 279 square feet
Step-by-step explanation:
Answer:
279 sq. feet
Step-by-step explanation:
got the question correct
Edg.
Andrew got hired at grub burger and earns $8.25 an hour. Which choice is correct for filling the amount of $ going down? Each line separated by a comma.
Answer:
The given table is
Hours. Earnings per hour.
0
4
8
12
Now, the unit rate is $8.25 per hour, according to the proble, this is the constant ratio of change, that means, we only need to multiply the number of hours with the unit rate.
[tex]0 \times 8.25=0\\4 \times 8.25= 33\\8 \times 8.25=66\\12 \times 8.25 = 99[/tex]
Therefore, the complete table isHours. Earnings per hour.
0 0
4 33
8 66
12 99
Determine if Ginny factored correctly. If not, explain
where she made an error.
Answer:
The answer is A
Step-by-step explanation:
PLEASE PLEASE HELP ME ! 12 DAYS OF SCHOOL LIKE AND IM BEHINDDDDD
Answer:
The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.
Step-by-step explanation:
5/16 = 20/x
5x = 320
x = 64
30/80 = 3/8
10/80 = 1/8
25/80 = 5/16
15/80 = 3/16
3/8*2000 = 750
1/8*2000 = 250
5/16*2000 = 625
3/16*2000 = 325
hello I don't know how to do this, can somebody explain me? Graph the linear function w(x)= 3/5x+2
Answer:
okay so u have a graph
u go to the center 0,0
u go up 2 places
then up 3 ove to the left 5
the repeat that step
u get it
Step-by-step explanation:
Fun Tees is offering a 30% discount on all merchandise. Find the discounted price of a T-shirt originally priced at $16. Solve in at least two ways.
Answer:
Step-by-step explanation:
Discount = % discount × cost price given.
Discounted price = cost price - discount
% discount = 30%
cost price given = $16
Discount = % discount × cost price given.
= (30/100) × $16
= $4.8
Giveaway price = $16 - $4.8
= $11.2
pls pls pls pls pls pls pls pls pls pls help
an airplane takes off from an airport at 11 am. fifteen minutes later, its shadow is 360000 feet away from the take off point and its altitude is 24000 ft. what is the exact distance the plane traveled in 15 minutes
Answer:
what grade are you in so i can help
Step-by-step explanation: