The water tank hold 863.50 [tex]ft^{3}[/tex] of water.
What is Volume of cylinder?
The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.
The water tank is in the shape of cylinder whose radius = 5 feet
and, height= 11 feet
Volume of water tank =[tex]\pi r^{2} h[/tex]
= 3.14 * 5 * 5 * 11
= 3.14*25*11
= 863.50 [tex]ft^{3}[/tex]
Hence the water tank hold 863.50 [tex]ft^{3}[/tex] of water.
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Rewrite x2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
A. a = 4 and b = 3
B. a = 3 and b = 2
C. a = 2 and b = 1
D. a = 1 and b = 4
Answer:
D. a=1 and b=4
Step-by-step explanation:
x^2-2x+(-2/2)^2 =3+(-2/2)^2
x^2-2x+(-1)^2=3+(-1)^2
x^2-2x +1 =4
(x-1)^2=4
Therefore a=1 and b=4
I need help on this please
Answer:
Volume of a cone = (1/3) πr³
r = radius = d/2 = 2/2 = 1 ft
Volume = (1/3) * π * 1³
volume = 1.04 cubic ft
In the circle below, QR is a diameter and QT is tangent at Q. Suppose m QRS = 212°. Find the following.
(a) m/SQT =
(b) m/RQS =
Using the tangent theorem and the inscribed angle theorem, we have:
a. m∠SQT = 74°; b. m∠RQS = 16°.
What is the Tangent Theorem?Angle formed at the point of tangency between the tangent and the radius of a circle = 90 degrees based on the tangent theorem.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that, measure of inscribed angle = 1/2(measure of intercepted arc).
a. Find m(SQT):
m∠RQT = 90° [tangent theorem]
m(QR) = 180° [semicircle]
m(QRS) = 212° [given]
m(RS) = m(QRS) - m(QR) = 212 - 180 = 32°
m∠RQS = 1/2[m(RS)] [inscribed angle theorem]
m∠RQS = 1/2(32)
m∠RQS = 16°
m∠SQT = m∠RQT - m∠RQS = 90 - 16
m∠SQT = 74°
b. m∠RQS = 1/2(32)
m∠RQS = 16°
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can someone help me with this
For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.
Multiplicative inverse of a matrixFor two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.
Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.
Multiply the row of the first matrix with the column of the second to have:
[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
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Please help me thanks!
Answer:
The Surface area will double and the volume will triple.
Step-by-step explanation:
This is because the dimensions will cause the shape to double in surface area and triple in volume as surface area is in a two-dimensional space while volume is in a 3-dimensional plane.
Answer:
See below ~
Step-by-step explanation:
Subpart (h) :
⇒ By doubling the dimensions of a rectangular prism, the surface area becomes 2 times the original value
===========================================================
Subpart (i) :
⇒ By doubling the dimensions of a rectangular prism, the volume becomes 8 times the original value
can i get some help with this i suck at algebra
Answer:
Slope-Intercept: C,H,F,I,P,T
Standard: B,D,K,N,O,Q,S
Point-Slope: A,E,G,F,L,M,R
Step-by-step explanation:
Anything with the Y on one side of the equation and an X on the other is Slope-Intercept.
All the standard equations are the ones with the terms (X and Y) on one side of the equation, and a real number on the other.
The Point-Slope are all equations containing a Y value on one side, and an undistributed X value on the other.
Given the following formula, solve for I.
P = 2(1 + 6)
PLEASE HELP!!!
Step-by-step explanation
Here ...I'm not too sure about the question as you have written
P = 2 ( 1 + 6 ) and ask to solve for L ...
.So I guess the question you have written is wrong .. ...and I guess there should be L in the place of 1.
...So let me correct the question....
P = 2 ( l + 6 )
P = 2l + 12
P - 2l = 12
- 2l = 12 - P
- 2l = - P + 12
Change the sign of both side of the equation...
2l = P + 12
divide both side by the same number...
L = ( P + 12 ) ÷ 2
[tex]l = \frac{1}{2} p - 12 \times \frac{1}{2} \\ [/tex]
Calculate the product of rational numbers...
[tex]l = \frac{1}{2} p - 6 \\ [/tex]
The DePeppo children, Ann, Debbie, Damian, and Adam created a contest to test their athletic abilities and physical strength. They threw objects into the air to see who was the best.
These four equations depict the travel of the objects they threw.
y1=−16x2+62x+10
y2=−16x2+75x
y3=−16x2+38x+60
y4=−16x2+20x+10
1 The youngest launched his object from atop the playset.
2 Ann climbed a tall tree to launch her object.
3 Damian’s object went the highest.
4 Debbie’s object was in the air the shortest amount of time.
5 The arrow was shot by the oldest.
6 The golf ball went 87 feet into the air.
7 Ann shot her arrow higher than the tennis and bowling balls.
8 The bowling ball reached its maximum height just under 1 second.
9 Damian’s ball was in the air twice as long as the 2nd oldest sibling.
10 The object of the youngest brother was in the air for more than 4 seconds.
Answer:
y1: Ann
y2: Damian
y3: Adam
y4: Debbi
Step-by-step explanation:
please help meeee, will mark brainliest!!!
Answer:
see below
Step-by-step explanation:
If it decreases at 10.5 % per year then 89.5 % remains
Value = y = 35 300 ( .895)^x
value when x = 5.5 y = $ 19177.92
1. Use the data points about the distance and elevations of the camps to graph the data points where the x-coordinate is the total distance traveled from the base camp and the y-coordinate is the elevation. Use the grid below or include a screenshot of the data plotted from a calculator.
Can someone please help/explain! I'm super confused and bad with word problems! The info is shown below!
You should plot the total distance traveled from the base camp on the x-coordinate while the elevation should be plotted on the y-coordinate.
What is a graph?A graph simply refers to a type of chart which is commonly used to graphically represent data on both the vertical and horizontal lines of a cartesian coordinate (x-coordinate and y-coordinate).
How to plot this graph?In this scenario, you would plot the total distance traveled from the base camp on the x-coordinate while the elevation of the camps would be plotted on the y-coordinate as shown in the image attached below.
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Aaron flips a coin three times, how many outcomes have only one head?
1
2
3
4
3
Step-by-step explanation:
there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.
groups, A and B, of size 10. In the simulations, group A always plays the role of the treatment group and group B the role of the control group.
After each simulation, she subtracts the average for group A from the average for group B. The distribution of the differences for all 100 simulations is shown in the histogram.
In the original experiment, the average for the treatment group was 1.6 lower than the average for the control group.
In what percentage of simulations is the average for group A at least 1.6 lower than the average for group B?
The percentage of simulations where the average for group A is at least 1.6 lower than the average for group B is 48%.
Data points where the average for group A is at least 1.6 less than BThe following are the data points from the histogram where the average of group A is at least 1.6 less than average of group B.
At least -1.6 lower implies -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, 0, 1, etc.
the first point = (-1.6 - 1.2) (number of simulation = 1)second point = (-1.2, -0.8) (number of simulation = 8)third point = (-0.8, -0.4) (number of simulation = 16)fourth point = (-0.4, 0) (number of simulation = 23)Outcome of simulations = 1 + 8 + 16 + 23 = 48
Percentage of simulation = outcome/total x 100%
Percentage of simulation = (48 x 100%)/100
Percentage of simulation = 48%
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Find (a) arc length and (b) Area of a sector.
Answer:
a) 29.45 cm (2 dp)
b) 220.89 cm² (2 dp)
Step-by-step explanation:
Formula
[tex]\textsf{Arc length}=r \theta[/tex]
[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]
Calculation
Given:
[tex]\theta=\dfrac{5 \pi}{8}[/tex] r = 15 cm[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}[/tex]
What is the measure of ZEKY in this figure?
O 104°
O 115°
O 129°
O I don't know.
Please answer fast!
Answer: 104 degrees
Step-by-step explanation:
PLEASE EASY 20 POINTS A new park in the shape of a hexagon will have 6 sides of equal length.
On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).
How long is each side of the park?
Answer:
13
Step-by-step explanation:
26.5 - 13.5 = 13
PLEASE HELP QUICKLY!
Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.
Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answer:
(5,36)(8,48)slope = (48 - 36) / (8 - 5)
Step-by-step explanation:
Answer: Equation of the system is y = 4x + 16 and in function form is f(x) = 4x + 16.
Explanation
does anyone know what 3 x (8+2) x 5 is? i really need it for homework due tomorrow thank you!
Find the volume of the composite space figure to the nearest whole number.
2 mm
9 mm
16 mm
Not drawn to scale
A. 1306 mm³
B. 450 mm³
C. 797 mm³
• D. 514 mm³
The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be 796.94 cubic mm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The graph is given below.
The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be
Volume = [(πr²/2) + a x b] x h
Volume = [(π x 4.5²/2) + 9 x 2] x 16
Volume = [10.125π + 18] x 16
Volume = 48.808 x 16
Volume = 796.938
Volume ≅ 796.94 cubic mm
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PLEASE HELP MEEEEE ON THISSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ITS DUE VERY SOON SO PLEASE HJELPPPPIHFIUHGIU
IT IS QUESTIONS 3-8 AND I DON'T UNDERSTAND :((((((((((( (Not 7)))!!!!!!!!!!!
The computation of the word problem shows that the oranges that John will have in 12 weeks will be 70 oranges.
How to solve the word problem?The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks?
The computation will be:
= 10 + 5x
where x= number of weeks.
= 10 + 5x
= 10 + 5(12)
= 10 + 60
= 70 oranges
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How many solutions does this system
have?
6x+3y = 9
2x + y = 3
Answer:
The system of equation has infinite solution.
Step-by-step explanation
2x + y = 3
6x = 9 – 3y
First we re-write the second equation in standard form
So, we add 3y both sides
6x+3y=9 ---------------- (2)
2x+y = 3----------------- (1)
3(2x)+3y = 3(3)
6x+3y=9
6x-6x + 3y-3y = 9-9
0=0
LHS=RHS
This is true statement. If statement is true then infinite number of many solution.
Answer:
infinite
Step-by-step explanation:
acellus
Solve: x/2-3x/4+x/6=(-2)/3
original equation
[tex]\frac{x}{2}-\frac{3x}{4}+\frac{x}{6}=-\frac{2}{3}[/tex]
multiply by lcd
[tex]12(\frac{x}{2})-12(\frac{3x}{4})+12(\frac{x}{6}) =-12(\frac{2}{3})\\\\6x-9x+2x=-8[/tex]
isolate for x
[tex]-1x=-8\\\\x=8[/tex]
verify
[tex]\frac{8}{2}-\frac{3(8)}{4}+\frac{8}{6}=-\frac{2}{3}\\\\4-6+\frac{4}{3}=-\frac{2}{3}\\\\4-2+\frac{4}{3}=-\frac{2}{3}\\\\-\frac{2}{3}=-\frac{2}{3}\\\\LS=RS[/tex]
Question Bill needs 864 tiles to tile a bathroom. He can buy tiles individually for $0.40 each, and he can buy them in boxes of 100 for $32.50 per box. What is the least amount that Bill must pay to buy the tiles he needs
The least amount that Bill must pay to buy the tiles he needs is $292.50
What is the least amount?The total cost of buying the tiles individually is : cost per tile x total tiles needed
$0.40 x 864 = $345.60
The total cost of buying the tiles in a box of 100 is : $32.50 x 9 = $292.50
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Write the inequality given in the diagram below
Step-by-step explanation:
it's either 3 or 2 probably
can you help me solve this equation? 20 POINTS
Answer:
x = 63
Step-by-step explanation:
In [tex]\odot \:O, [/tex] ML and MN are tangents from external points M at points L and N respectively. OL and ON are radii of the circle.[tex]\implies ML\perp OL,\:\&\: MN \perp ON[/tex] (By tangent theorem)[tex]\implies m\angle MLO = m\angle MNO = 90\degree[/tex][tex]m\angle LON = 117\degree[/tex] (Given)In quadrilateral LMNO, by interior angle sum theorem, we have:[tex] m\angle LON+m\angle MOL +m\angle MON +m\angle LMN= 360\degree[/tex][tex] \implies 117\degree+90\degree +90\degree +x\degree= 360\degree[/tex][tex] \implies 297\degree+x\degree= 360\degree[/tex][tex] \implies x\degree= 360\degree-297\degree[/tex][tex] \implies x\degree= 63\degree[/tex][tex] \implies\red{\boxed{\bold{ x= 63}}}[/tex]Answer:
63°
Step-by-step explanation:
The central angle is 117°The angles at the tangent are 90° each (property of tangents)Applying the Angle Sum of Quadrilaterals,
117° + 2(90°) + x° = 360°180° + x° = 243°x° = 63°You can help me please ?
Answer:
B = 48
Step-by-step explanation:
8 x 6 = 48
hope this helps!
-x/8-11=-2 what is the answer because i have a tough time solving it
Answer:
[tex]x=-72[/tex]
Step-by-step explanation:
[tex]-\frac{x}{8}-11=-2\\ -\frac{x}{8}=9\\ -x=72\\x=-72[/tex]
How do I solve for 4h=57.6
Pls explain bc I don’t understand Does h = 14.4
Answer:
h = 14.4
Step-by-step explanation:
4h=57.6
Divide each side by 4
4h/4 = 57.6/4
h = 14.4
Answer:
See explanation
Step-by-step explanation:
Always divide the constant by itself and the value it equals.
1) Divide both sides by 4.
[tex]h=\frac{57.6}{4}[/tex]
2) Simplify [tex]\frac{57.6}{4}[/tex] to [tex]14.4[/tex].
h = 14.4
To check our answer,
4h = 57.6
1) Let h = 14.4
4 * 14.4 = 57.6
2) Simplify 4 × 14.4 to 57.6.
57.6 = 57.6
Which equation would solve for the standard rate of pay?
Here is the basic salary-to-hourly formula for this method: First, divide the employee’s annual salary by 52 weeks (the number of weeks in a year). Divide the weekly wages by 40 hours.
Find the surface area of the figure?
Step-by-step explanation:
the surface area consists of 6 individual areas :
front and back (both are equal)
left and right (both are equal)
top and bottom
front and back are trapezoids.
the area of a trapezoid is
(base 1 + base 2)/2 × h
the bases are the 2 parallel sides.
in our case the area of one trapezoid is
(5 + 19)/2 × 12.1 = 145.2 ft²
front and back together then are 290.4 ft².
left and right are 8×14 rectangles:
8×14 = 112 ft²
together they are 224 ft².
the bottom is a 5×8 rectangle :
5×8 = 40 ft²
the top is a 19×8 rectangle :
19×8 = 152 ft²
so, the total surface area is
290.4 + 224 + 40 + 152 = 706.4 ft²
Please help help …….. pls
…..
Answer:
1) 1/2or 50%
2) 38/50 or 76%
3) 38/60 or 63%
4) not sure tbh
Step-by-step explanation:
