The volume of the water storage tank is the amount of space in it
The volume of the water storage tank is 6468 cubic feet
How to determine the volume?The given parameters are:
Radius (r) = 21 feet
Height (h) = 14 feet
The shape of the water storage tank is a cone.
And the volume of a cone is:
V = 1/3πr^2h
So, we have:
V = 1/3 * 22/7 * 21^2 * 14
This gives
V = 6468
Hence, the volume of the water storage tank is 6468 cubic feet
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how many right angles in this shape the shape is a trapezoid
Answer:
Two
Step-by-step explanation:
Since two of the angles are 90 degrees, they are right angles.
Answer: There are 2 right anges in a trapizoid
Step-by-step explanation:
1 is on the bottom lieft side 2nd one is on the other is on the bottom right sideFIRST GET BRAINIEST PERIODTT TYSMMSMSMMSM
height: 6-2=4 units
length: 9-3=6 units
4×6=24
-> 24 units
Find the area of a green shaded region in the figur
Answer:
The answer is 156cm^2
Step-by-step explanation:
Solution:
The shape given is a trapezium.
The area of the green region = Area of the outer trapezium - Area of the inner trapezium.
[tex]Area\: of\:a\:trapezium\:=\frac{1}{2}\:(a+b)h[/tex]
[tex]Where\: a,b\:are\:the\:bases,\:h=height[/tex]
[tex]For,\:outer\:trapezium,[/tex]
[tex]a=10cm,\:b=14cm,h=16cm[/tex]
[tex]Area\:of\:the\:outer\:trapezium=\frac{1}{2}\:(10+14)16[/tex]
[tex]=\frac{1}{2}(24)(16)=192cm^{2}[/tex]
[tex]For\:inner\:trapezium,[/tex]
[tex]a=3cm,b=6cm,h=8cm[/tex]
[tex]Area\:of\:the\:inner\:trapezium=\frac{1}{2}(3+6)8[/tex]
[tex]=\frac{1}{2}(9)(8)=36cm^{2}[/tex]
[tex]193cm^{2}-36cm^{2}[/tex]
[tex]=156cm^{2}[/tex]
The answer is 156cm^2
Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year.
The total balance in Raul's account after 40 years when he retires is $65,714.90.
What is the total balance?The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 1.5/12 n = number of periods = 12 x 40 = 480$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90
Here is the complete question:
Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?
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Pls help asap, have a great day
find, w: x: y: z:
Answer:
See below ↓
Step-by-step explanation:
Finding w and x [both are equal]
Take the cos function of one of the 45° angles, which is the ratio of the adjacent side to the hypotenusecos(45°) = [tex]\frac{1}{\sqrt{2} } = \frac{w}{6}[/tex]⇒ w = [tex]\frac{6}{\sqrt{2} } = \frac{6}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } = \frac{6\sqrt{2} }{2}[/tex]⇒ w = 3√2 and x = 3√2Finding y
Take the cos ratio of the 60° angle to find ycos(60°) = [tex]\frac{1}{2} = \frac{y}{x} = \frac{y}{3\sqrt{2} }[/tex]⇒ y = [tex]\frac{3\sqrt{2} }{2}[/tex]Finding z
Take the sin ratio of 60° angle of the triangle, which is the ratio of the opposite side to the hypotenusesin(60°) = [tex]\frac{\sqrt{3} }{2}= \frac{z}{x} = \frac{z}{3\sqrt{2} }[/tex]⇒ z = [tex]\frac{3\sqrt{6} }{2}[/tex]The sum of two numbers is 21. Their product is 108. What are the two numbers?
Answer:
9 and 21
Step-by-step explanation:
First we can write the factors of 108:
1,108
2,54
3,36
4,27
6,18
9,12 - these 2 numbers add up to 21 so these 2 numbers is our answer.
Answer:
12 and 9
First, divide 108 by a relatively low number, 12[tex]108 / 12 = 9[/tex]
Now that we have 9, multiply 9 by 12[tex]9 * 12 = 108[/tex]
This is one method that proves the statement true. I call the method mirroring. This method consists of finding the lowest numbers a large number is divisible by, then flipping the problem to a multiplication problem.________________________________________________________
What have we learned?We learned alternative ways to find the sum and product of a number using a similar method.
Questions related to the topic? Ask me in the comments box.
John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?
77 sq ft
75 sq ft
18 ft
36 ft
Answer:
The area of rectangle is 77 sq ft.
Answer: 77 sq ft
Step-by-step explanation:
circle the possible values that satisfy each inequality!
Answer:
25
Step-by-step explanation:
5 > x/5
5 × 5 > (x/5) × 5
25 > x
If the labor force is 740 workers, but 27
are unemployed, what is the
unemployment percentage?
A. .36%
B. 3.6%
C. 36%
D. 360%
Answer:
3.6% or B quack quack quack quack
The unemployment percentage is 3.6 percent. Therefore, option B is the correct answer.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, the labor force is 740 workers, but 27 are unemployed.
Here, percentage = 27/740 ×100
= 2700/740
= 3.6%
Therefore, option B is the correct answer.
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Someone help. I don’t understand the question.
Answer:
9.9[tex] \: [/tex]
Step-by-step explanation:
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base is 13.2The perpendicular is aThe hypotenuse is 16.5[tex] \: [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (13.2) {}^{2} + (a {)}^{2} = (16.5) {}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 174.24 + (a {)}^{2} = 272.25 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 272.25 -174.24}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 98.01}}} \\ \\ \\ {\longrightarrow \pmb{\sf {\qquad a = \sqrt{98.01}}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad a = 9.9}}} \\ \\[/tex]
Therefore,
The length of the missing side of the right triangle is 9.911. Joe lists his expenses to make a budget. Which of
these is a variable expense?
A. He pays about $400 in rent.
B. He spends $95 a month eating at
restaurants.
C. He pays $250 each month for his car
payment.
D. His cable bill is $40 each month
Answer:
B
Step-by-step explanation:
Because of inflation, prices at restaurants would go up.
Edward counted out 20 cards for a card game. Then he split those cards evenly among the 4 players.
The letter c stands for the number of cards for each player. Which equation can you use to find c?
option
20-4=C
20/4=C
Answer:
20/4=c
Step-by-step explanation:
You can tell that that is the right answer, because 20-4=c means that each person would get 16 cards, and if you multiply that by 4(the amount of people that are playing) It's way more than 20 cards, so you know that 20/4=c is the right answer. Hope that helped;)
A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?
Answer:
There is motlre chance that a green Ballon will be selected because green Ballon are more than orange
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Using the formula S = P(1 + r)t, where P is the original principal, r is the annual interest rate, and t is the number of years, what is the investment savings, S, if P = $14,500.00, r = 7.5%, and t = 5 years?
[tex]~~~~~~ \textit{Savings Earned Amount} \\\\ S=P\left(1+r\right)^{t} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$14500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years\dotfill &5 \end{cases} \\\\\\ S=14500\left(1+0.075\right)^{5}\implies S=14500(1.075)^5\implies A\approx 20816.63[/tex]
CAN SOMEBODY SOLVE THE EQUATION
help please. I don't know it
Two years ago my dog, Bau, was five times older than mu cat, Miho. 1 year from now Bau will only be twice as old as Miho. How old is Bau now?
Find the area of the rhombus.
Step-by-step explanation:
as the graphic shows, we are dealing with a special rhombus : a square.
this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.
what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?
I assume the half-diameter.
what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).
every leg is 6 cm long (based on my assumption above).
because they are right-angled, the area of each of these little triangles is leg×leg/2
6×6/2 = 18 cm²
we have 4 triangles, so the total area is
4×18 = 72 cm²
if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.
then we would have
3×3/2 = 4.5 cm² for a single triangle
and
4×4.5 = 18 cm² for the whole area.
I NEED HELP ASAP!!!!!!!!
QUESTION BELOW
Answer:
Step-by-step explanation:
A certain number added to its square is equal to 90. What is/are the number(s) that work?
Answer:
9,-10
Step-by-step explanation:
Let u be a number.
[tex]u + {u}^{2} = 90[/tex]
[tex]u {}^{2} + u - 90 = 0[/tex]
[tex](u + 10)(u - 9) = 0[/tex]
[tex]u = - 10[/tex]
or
[tex]u = 9[/tex]
9, -10
HELLO PLS HELP ME THIS IS DUE TMR AND I DONT UNDERSTAND THE ANSWER
Answer:
6x+7=13
2/3x+8= 8.66
Step-by-step explanation:
calculator and rule with a compass
On Tuesday, recess began at 11:43. The students got back to their class at 12:04. How long were they at
recess?
Answer:
They were out side for 21 minutes
Step-by-step explanation:
you just add 11:43 and add 21 minutes to it and you get 12:04
help asap will give brainly .
A drawer is 5 feet wide, 4 feet deep. If the volume is 40, what is the height =
Question 13 of 14
Phillipa rode her bicycle every day over the weekend. Phillipa rode [(13.5 + 8.5) ÷ 2]
miles on Friday, [18 − (2 × 4)] miles on Saturday and [20 − (5 − 3)]
miles on Sunday.
On which day did Phillipa ride her bicycle the most?
She rode her bicycle the most on .
Answer:
Sunday
Step-by-step explanation:
Friday
[(13.5 + 8.5) ÷ 2] = [(22) ÷ 2] = 22 ÷ 2 = 11 miles
Saturday
[18 − (2 × 4)] = 18 - (8) = 18 - 8 = 10 miles
Sunday
[20 − (5 − 3)] = 20 - (2) = 18 miles
18 > 11 > 10
Then She rode her bicycle the most on Sunday
Try:
Rereading your lessons, getting help from your tutor or others.
Answer:
Sundays
Hope this helps and don't forget to hit the thanks button! <3
Written by: RiBu
THE ANSWER IS SUNDAYS.
The perimeter of the surface of a workbook is 46 inches. It is 13 inches tall. How wide is it?
Answer:188
Step-by-step explanation:
u have to add all the side which is 46+46+13+13=188
Which of the following best describes the graph below?
-
A It is a function, but it is not one-to-one
B. It is a one-to-one function
C. It is a many-to-one function
D. It is not a function
Answer:
B. it is a one-to-one function
Step-by-step explanation:
since the line is curving a bit while passing.
Find the measure of each angle.
x - 7
X
x + 10
Answer:
x - 7: 52
x: 59
x + 10: 69
Step-by-step explanation:
Since we have a straight line, we know that the angles must add up to 180. We can set up an equation to solve:
x - 7 + x + x + 10 = 180
Combine like terms:
3x + 3 = 180
Subtract 3 on both sides:
3x = 177
Divide by 3 on both sides:
x = 59
Now plug in 59 for each angle.
The "x - 7" angle should equal 52, the "x" angle should equal 59, and the "x + 10" angle should equal 69.
Answer:
52°, 59°, and 69°
Step-by-step explanation:
Each of these angles add up to make a straight line, or = 180°
(x - 7) + x + (x + 10) = 180
3x + 3 = 180
3x = 177
x = 59
Angle A = 52°
Angle B = 59°
Angle C = 69°
52 + 59 + 69 = 180!
A chef used one-half of a bag of potatoes for a meal. If the potatoes fed 2 people, what
fraction of the bag did each person get?
(Help plss as soon as you can)
Answer: 1/4
Step-by-step explanation: each person had half of the half of bag.
help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
G. Between 6 and 7
Step-by-step explanation:
As 41 lies between the square of 6 and 7
Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 18-pack of juice bottles. The total cost before tax was $26.61. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs.
Equation:
Answer: x=
Answer:
x= (26.61-3.39)/18
Step-by-step explanation: