Answer:
Vol = 769.7 cubic ft
Step-by-step explanation:
"radius" is the distance from the center of a circle to the circle. So let's assume your pool is a circular pool with radius = 7ft and height = 5ft. It's a cylinder.
Volume of a cylinder:
Vol =
Base area•height
= pi•r^2 • h
= pi(7)^2•5
= pi•49•5
= pi • 245
= 245pi
Now, 245pi cubic ft is a perfectly good answer. But your teacher/text/class, may be asking for a decimal approximation.
If you use calculator pi (that's a lot of decimals) you get
Vol ~= 769.69 (to the hundredths place)
Vol ~= 769.7(to the tenths place)
If you were told to use 3.14 for pi
then you get
Vol ~= 769.3 cubic ft
But if you were told to convert units to gallons or liters there are more calculations (message, i can edit in these)
A town plans to put a triangular garden in the town square. The length of the base of the garden will be 9 meters, and the height will be 16 meters. What will be the area of the garden? Enter your answer in the box. M2.
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
now, we only need to calculate :
9 × 16 / 2 = 9 × 8 = 72 m²
Answer: 72
Hope this helps!
Simplify -15(y^2)^4/-5y^3y^2
Answer:
-3y^8-3y^2
Step-by-step explanation:
PLEASE HELP ASAP!!!
Complete the data table for the function
(Please fill out all FOUR boxes... tyy)
Answer:
y - 2, 3, 4, 5
Hope this helps :)
Lorena is designing a rectangular patio in her garden. She has enough tiles to cover 324 square feet. She wants the length of the patio to be 15 feet longer than the width. What dimensions should Lorena use for the patio?
Using the area of a rectangle, it is found that her patio should have a width of 12 feet and a length of 27 feet.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by:
A = lw.
In this problem:
She has enough tiles to cover 324 square feet, hence A = 324.She wants the length of the patio to be 15 feet longer than the width, hence l = 15 + w.Thus:
324 = w(15 + w)
w^2 + 15w - 324 = 0
w = -27 or w = 12.
We take the positive value, hence l = 15 + w = 15 + 12 = 27 feet.
The dimensions should be a width of 12 feet and a length of 27 feet.
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Which of the following is the greatest common factor of 60 and 64?
Answer:
Greatest common factor (GCF) of 60 and 64 is 4.
Step-by-step explanation:
The HCF of two numbers 60 and 64 is 4.
What is LCM?LCM is the least common multiple is the smallest number that is divisible by two or more than two given numbers.
We know that the greatest common factor of two or more than two numbers is the largest number that divides the given numbers completely.
Given we have to find HCF of 60 and 64.
2 can divide both the numbers but 4 also divides the numbers and n such no. more than 4 divide them completely and simultaneously.
∴ HCF of 60 and 64 is 4.
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Pls help me on this problem I’m confused
Answer:
420 × 2 = 820 feet total
100 yards = 300 feet
125 yards = 375 feet
300 + 375 = 675
820 - 675 = 145 feet
they have 145 feet left
ASAP and God bless you
Answer: $384
Step-by-step explanation:
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the reward?
ok right subject this time PLS HELP AND FULL EXPLANATION
Answer:
21 students earn the reward
Step-by-step explanation:
15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.
15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21
In conclusion, your answer would be that 21 students get the Presidential Physical Fitness Award.
Have a great rest of your day
#TheWizzer
Answer:
21 students earn the reward
Step-by-step explanation:
15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.
15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21
credits to NovaWiz
Step-by-step explanation:
Can anyone help?tyyy☆
Answer:
what is the question tho?
Step-by-step explanation:
Can someone help me? I don’t know how to convert equivalent fractions using LCD.
Like 7/12 and 5/8 if the LCD is 24...
Simplify the following expression \sqrt(75)+\sqrt(108)=a\sqrt(b) If the expression is simplified completely, what does a equal and what does b equal
[tex] \sqrt{75} + \sqrt{108} = a \sqrt{b} [/tex]
[tex] \sqrt{75} = \sqrt{3 \times 5 {}^{2} } = 5 \sqrt{3} [/tex]
[tex] \sqrt{108} = \sqrt{2 {}^{2} + 3 {}^{3} } = 2 \times 3 \sqrt{3} = 6 \sqrt{3} [/tex]
[tex] \sqrt{75} + \sqrt{108} = 5\sqrt{3} + 6 \sqrt{3} = 11 \sqrt{3} [/tex]
[tex]a = 11[/tex]
[tex]b = 3[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE
Answer:
452.16 cm^2
Step-by-step explanation:
To find the area of a circle with the circumference we can say that half of the circumference is the radius. Hence our radius will be 12 cm.
A=[tex]\pi[/tex]r^2
A=[tex]\pi[/tex]12^2
A=[tex]\pi[/tex]144
A=144[tex]\pi[/tex]
We replace pi with 3.14
A=144*3.14
A=452.16
Which of the following is NOT a linear function?
Answer:
y=(x-5)^2
Step-by-step explanation:
Y= (x-5)^2
Y= 1/3x +8
Y - 4 = 2(x-1)
9x - 2y = -18
This equation is exponential so it won't have a straight slope.
Whats the remainder when 14952 divide by 41
Given a graph, with no equation, how can you graph the inverse?
There are two different ways you can do this, I have provided both below.
Answer: You can switch all the x and y coordinate values.
For example, if you have (2, 1) you would graph (1, 2).
Another example, if you have (677, 83) you would graph (83, 677)
Answer: Flip the graph over the line of y = x
I have attached an example from lumenlearning.com.
Which one of the following graphs represents
y as a function of x?
(А.
C
(В
D
Answer:
D
Step-by-step explanation:
'D' is the only graph that illustrates a function
All of the other graphs would fail a 'vertical line test'; in other words, would have two y-values for each x-value
Which equation for g(x) represents the transformation of f(x) given that f(x) = x^2
g(x) = f(x) shifted left 2 units?
PLEASE HELPPP
Lets shift
[tex]\\ \rm\Rrightarrow f(x)=x^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=(x+2)^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=x^2+2x+4[/tex]
Answer:
g(x) = (x + 2)²
Step-by-step explanation:
In function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:
⇒ To shift f(x) b units to left → f(x + b)
Similarly, if we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:
⇒ To shift f(x) b units to right → f(x - b)
Given function f(x) = x²
Shift 2 units to the left: f(x + 2) = (x + 2)²
Therefore, g(x) = (x + 2)²
what are two consecutive whole number that lie between[tex]\sqrt91[/tex]
Answer:
√91 lies between 9 and 10.
Step-by-step explanation:
find the number that makes the ratio equivalent to 9:18 _:2
Answer:
9:18 = 1:2
Step-by-step explanation:
18/9 = 2
9/9 = 1
9:18 = 9/9:18/9 = 1:2
PLEASEEW HELPPP WILL MARK BRAINLEST !!pntss
Triangle ABC with vertices A(1,4), B(4,1), and C( 1,1) is graphed on the coordinate plane below.
Which transformation of (triangle)ABC would yield ( triangle)A'B'C' so that AC is parallel to B'C'?
Which transformation of AABC would yield AA'B'C' so that AC is parallel to B'C'?
1.) a 180° clockwise rotation about the origin
2.) a 90° counterclockwise rotation about the origin
3.) a reflection across the y-axis
4.) a reflection across the x- axis
Answer:
the correct answer is choice 2
Step-by-step explanation:
reason being that both bc and ac would both be vertical lines so they have the same slope of undefined
Answer:
3.) A reflection across the y-axis
Hope this helps!
In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π5 radians. what is the arc length? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box. m
The length of the arc subtending a central angle of 9π/5 radians is 152.12m.
The radius of the given circle r = 26.9m
The measure of the central angle α = [tex]\frac{9\pi }{5}[/tex] radians
What is the arc of the circle?The arc of a circle is defined as the part or segment of the circumference of a circle. Its length is the product of the central angle(in radian) and radius of the circle.
So, the length of the arc subtending a central angle of 9π/5 radians
l = rα
l = 26.9 * 9π/5
l = 152.12m
Therefore, the length of the arc subtending a central angle of 9π/5 radians is 152.12m.
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i need help with this please!
Answer:
Plug in those values for the x in the equations.
Step-by-step explanation:
f(x) = x^2 + x
(x = -1) :: f(-1) = (-1)^2 + (-1)
f(-1) = -1 + -1
f(-1) = -2
(x = 2) :: f(2) = (2)^2 + (2)
f(2) = 4 + 2
f(2) = 6
f(x) = x^2 - x
(x = -1) :: f(-1) = (-1)^2 - (-1)
f(-1) = 1 - (-1)
f(-1) = 2
(x = 2) :: f(2) = (2)^2 - (2)
f(2) = 4 - 2
f(2) = 2
f(x) = -x^2 - x
(x = -1) :: f(-1) = -(-1)^2 - (-1)
f(-1) = -1 + 1
f(-1) = 0
(x = 2) :: f(2) = -(2)^2 - (2)
f(2) = -4 - 2
f(2) = -6
Which number is the largest?
3/5 2/3 0.67 0.59
Answer: 0.67
Step-by-step explanation: 0.67 is the largest because 3/5 is 0.6 and 2/3 is 0.6666666666666.
0.67 is the largest number.
What is Number system?A number system is defined as a system of writing to express numbers.
we need to find the largest number among 3/5, 2/3, 0.67 and 0.59
The given numbers are in the form of fractions and decimal.
Let us convert the fraction to the decimal numbers
3/5=0.6
2/3=0.666
0.67
0.59
In the given decimal numbers 0.67 is the largest number than other decimal numbers as there is 100th place of 7.
Hence, 0.67 is the largest number.
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Damien deposited $250 in an account that earned 3.75% interest compounded annually.
He did not make additional deposits or withdrawals.
What will be the balance in this account at the end of 4 years?
The balance in his account at the end of 4 years will be $289.67.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Principal amount (P) = $250
Rate (r) = 3.75%
Time (t) = 4 years
Now,
Since, We know that;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
Where, A is the future amount.
P is the principal amount.
t is the time.
r is the rate.
Thus, By substitute all the values, we get;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
⇒ A = 250 (1 + 3.75/100)⁴
⇒ A = 250 (103.75/100)⁴
⇒ A = $289.67
Thus, The balance in his account at the end of 4 years will be $289.67.
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7 hundreds+11tens+5ones=
The table displays the amount of time, in minutes, Jordan rode his bike for five days. How many total hours did Jordan ride his bike in the five days?
Day Time (minutes)
1 45
2 109
3 51
4 121
5 38
Answer:98.9276
Step-by-step explanation:
The table displays the amount of time, in minutes, Jordan rode his bike for five days. How many total hours did Jordan ride his bike in the five days? DayTime (minutes)11 4545 22 109109 33 5151 44 121121 55 3838 Jordan rode his bike total hours in the five days.
what is the slope of the function represented by the table of values below
Answer:
The correct option is A....
Step-by-step explanation:
We have a table of x,y pairs. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:
m = y2-y1 / x2-x1
m = 5-13/ 0-(-2)
m = -8/0+2
m = -8/2
m = -4
We can check this answer by using a different pair: Take the last two pairs.
m = -27-(-15)/ 8-5
m = -27+15/3
m = -12/3
m = -4
Thus the slope is -4
Juan makes $9 per hour at his job. The equation represents how much money he made yesterday. T=9h if Juan make (T) $76. 50 yesterday, how many hours did he work?
Solve the equation and enter the value of x below.
5x + 4 + 6x = 70
X =
Answer here
Step-by-step explanation:
5x+6x=70-4
11x=66
x=66/11
x=6
-20 divided 2+ (-15)=
Answer:
-35
Step-by-step explanation:
Using the rules of BIMDAS, division goes before addition, hence -20/2 which gives you -10
Put that in the equation and it would be:
-10 + (-15)
A negative and a positive make a negative hence, you could simply write it as:
-10 - 15
Which equals -35