Answer: V = 1731.8Ft³
Step-by-step explanation:
v = πr²h
Radius is half of the diameter ⇒ 21/2 = 10.5
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
The solution is : the volume of the pool is V = 1731.8Ft³.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
we know that,
the volume of the cylinder is:
v = πr²h
Radius is half of the diameter
⇒ 21/2
= 10.5
so, we get,
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
Hence, The solution is : the volume of the pool is V = 1731.8Ft³.
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What is the area of the composite figure? Card F
特||
Shape 1: trapezoid
Area Formula:
Solve:
13 cm
Shape 2: square
Area Formula:
9 cm
Solve:
19 cm
24 cm
Fnal Answer
Incude Units)
Answer:
total area is bottom rectangle area+ upper rectangle area + two triangles.
whole area.
(24x19) + (13x9) +(24x13) =885
area of trapezoid
whole area - bottom rectangle
885-(24x19) = 429
56,000 is what percent of 70,000?
Answer:
39200000
Step by step explanation is in the photo
Can anyone help me with this please?
Do not answer if you do not know.
Answer: a
Step-by-step explanation:
-3.5(x+9). URGENT : SHOW ALL STEPS PLEASE
Answer:
-3.5x - 31.5
Step-by-step explanation:
-3.5(x+9)
= -3.5x + -3.5(9)
= -3.5x - 31.5
The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
By thinking about the radius or otherwise, determine the gradient of the line l.
Given:
The equation of a circle is
[tex]x^2+y^2=169[/tex]
A tangent line l to the circle touches the circle at point P(12,5).
To find:
The gradient of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is
[tex]m_1=\dfrac{5-0}{12-0}[/tex]
[tex]m_1=\dfrac{5}{12}[/tex]
We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
[tex]m\times m_1=-1[/tex]
[tex]m\times \dfrac{5}{12}=-1[/tex]
[tex]m=-\dfrac{12}{5}[/tex]
Therefore, the gradient or slope of the tangent line l is [tex]-\dfrac{12}{5}[/tex] .
Help! Will mark brainliest to whoever puts the answer first!
Answer:
1 and 6 (alternate exterior angle)
2 and 5(corresponding angle)
4 and 5(co interior angle)
3 and 5(alternate interior angle)
If nkf ~ lzf, find nf, please help me with this it’s due tmr!!!!
Answer:
NF = 25
Step-by-step explanation:
Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.
This means that:
KF/ZF = NF/LF
KF = x + 3
ZF = 4
NF = 15 + x + 3 = x + 18
LF = x + 3
Plug in the values into the equation
(x + 3)/4 = (x + 18)/(x + 3)
Cross multiply
(x + 3)(x + 3) = (x + 18)(4)
x² + 3x + 3x + 9 = 4x + 72
x² + 6x + 9 = 4x + 72
x² + 6x + 9 - 4x - 72 = 0
x² + 2x - 63 = 0
Factorize to find x
x² + 9x - 7x - 63 = 0
x(x + 9) -7(x + 9) = 0
(x + 9)(x - 7) = 0
x + 9 = 0 or x - 7 = 0
x = -9 or x = 7
We'd use the positive value of x, which is 7.
Therefore, x = 7.
✅NF = 15 + (x + 3)
Plug in the value of x
NF = 15 + (7 + 3) = 15 + 10
NF = 25
What is another word for making something larger in a dilation
Answer:
expand enlarge
inflate lengthen
stretch broaden
open amplify
augment develop
Step-by-step explanation:
expand enlarge
inflate lengthen
stretch broaden
open amplify
augment develop
How can I show my work even though I already know the answer “Ella is building a rabbit pen. The area of the rabbit pen is 50 square feet.
Each rabbit needs at least 4 square feet of space. How many rabbits can
the pen hold?”
Answer:
12
Step-by-step explanation:
To show your answer just show 50 divided by 4.
Graph the system of equations, and determine the
solution.
X + 5y = 10
2x + 10y = 50
Use the graphing tool to graph the system,
Answer:
First one is 2. The second one is 5.
Step-by-step explanation:
4. book: $39 with a 7.5% markup
What is the:
Markup:
Selling Price:
Answer:
Markup: 2.925
Selling price: $41.925
Step-by-step explanation:
Find the axis of symmetry and the vertex of the graph of the function: y=-1/2x^2+4x-7
Answer:
axis x=4 & vertex (4,1)
Polynomials and Factoring Unit Test part 2
f (x) = 9x^3 + 2x^2 – 5x + 4 and g(x) = 5x^3 - 7x + 4. what is f (x) – g(x)? Show all of your steps and write your final answer in factored form. Math symbols.
PLEASE HELP ME
Answer:
4x^3+2x^2+2x
Step-by-step explanation:
The difference of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x
How to Subtract Polynomials?To subtract one polynomial from another, take like terms together.
Given the polynomials:
f(x) = 9x³ + 2x² - 5x + 4 and g(x) = 5x³ - 7x + 4
Find f(x) - g(x):
(9x³ + 2x² - 5x + 4 ) - (5x³ - 7x + 4)
Open the bracket
9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4
Combine like terms together
4x³ + 2x² + 2x
Therefore, the subtraction of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x
Learn more about polynomials on:
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A student made a chart to classify plates by the types of boundaries. What
crustal feature is most likely found between the Pacific and North American
Plates? *
Plates at boundary
South American/African
Eurasian/Pacific
North American/Eurasian
Pacific/North American
Type of boundary
Divergent
Convergent
Divergent
Transform
Your answer
Answer:
trench
Step-by-step explanation:
(8+6×6)/11+7×2 plssssssssssssss anyoneeeeee
Answer:
it 18
Step-by-step explanation:
:D
hello can someone pls help me? its 8th grade math :]
"simplify the expression, write answer using a positive expression"
(3/7)^-7 x (3/7)^-1 % (3/7)^3=( ? )(^?)
thanks so much!
HELPPPPPPPPPPPPPPPPPPPPPPP
IT IS MEAN-MEDIAN MODE
someone please help, I need to construct a triangle with a perimeter of 125mm and having sides in the ratio 2:3:4. I don't understand ratios
Answer:mass CO2 = (mass AS) - (final mass)
Step-by-step explanation:
Please answer and show all work
Answer:
брате, заткнись, блядь, знай, хтось дбає про твої дивні тли
Step-by-step explanation:
HELP ILL GIVE BRAINLIEST
In a class of 40 students, 75% of the students
turned in their assignments. How many
students did NOT turn in their assignments?
Answer:
10 students didnt turn in work
Step-by-step explanation:
10. its like saying 100 divided by 25
The volume of a rectangular prism can be found by multiplying the three side lengths. A bookcase in the shape of a rectangular prism has dimensions (b+8) ft, b ft, and (b+3) ft. Find the volume of the bookcase
Answer:
(b³+11b²+24)ft³
Step-by-step explanation:
Volume of the rectangular prism = Length * Width * Height
Given the dimension
Length = b+8 ft
Width = b ft
Height = (b+3)ft
Volume of the rectangular prism = b(b+8)(b+3)
Volume of the rectangular prism = b(b^2+3b+8b+24)
Volume of the rectangular prism = b(b^2+11b+24)
Volume of the rectangular prism = b(b^2)+b(11b)+1(24)
Volume of the rectangular prism = b^3+11b^2+24
Hence the Volume of the rectangular prism is (b³+11b²+24)ft³
i need help w this plss
Answer:
Line a and Line b are parallel. The slopes are equal
Line b is perpendicular to line c. The slopes are different
Step-by-step explanation:
The standard form of an equation is y =- mx+C
m is the slope
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1
For Line a: 4x-3y = 2
Rewrite
-3y = -4x+2
y = 4/3 x - 2/3
Slope of line a is 4/3
Line b: y = 4/3x + 2
mx = 4/3x
m = 4/3
slope of line b is 4/3
Line c = 4y+3x = 4
4y = -3x + 4
y = -3/4 x + 1
Slope of line c is -4/3
Since line a and b have the same slope, they arer parallel
mb * mc = 4/3 * -3/4
mb*mc = -1
Since the product of slope of line b and c is -1, they are perpendiclar
Probability part 2 is shunya is going to spin the spinner 200 times. (B) work out an estimate for the number of times the spinner will land on 3 (please show working out ) :)
1/8 + 3/4 in its simplist form
Rewrite 3/4 to have the same denominator as 1/8.
3/4 = 6/8
Now you have 1/8 + 6/8 = 7/8
The answer is 7/8
im confused on this
Answer:
The correct answer would be g) The additional fee per yoga is $8.25 .
15 POINTS- ITS DUE TONIGHT
What is / are the coefficients in this expressions? 3a+7-8n
Answer:
3 and 8
Step-by-step explanation:
3 and 8 are the only numbers that have a variable, or the letter beside it
p(x)= 4x^3 -3x^2+5x-2
Answer:
p=4x^3−3x^2+5x−2/x
Step-by-step explanation:
Let's solve for p.
px=4x^3−3x^2+5x−2
Step 1: Divide both sides by x.
px/x=4x^3−3x^2+5x−2/x
p=4x^3−3x^2+5x−2/x
Answer:
p=4x^3−3x^2+5x−2/x
( I hope this was helpful) >;D
Kevin just put 20.26 gallons of fuel into his car. There were 3.9 gallons in the car to begin with. How much fuel is in Kevin's car now?
HELPP
Answer:
24.16
Step-by-step explanation:
1 pizza costs $0.50 to make. They sell it for $12. Find the percent markup.
Answer:
ok let me try this again
To explain a markup, let's use an example: Let's say you purchase a box of paper that costs one dollar. You aim for a profit of 50%. By multiplying the cost by 50%, you get $0.50. This is your markup price. Add that to the price that you paid to purchase the box of paper, and now the total is $1.50. This is the selling price of the box of paper. Therefore, your markup percentage is 50%.
did that help i was not a faker though i was just trying to explain it to him/she better and can i have brainlist please