Geometry:
What is the volume of the cone?
A. 2876.7 yd
B. 4625.36 yd
C. 4258.44 yd
D. 2787 64 yd
Answer:
D. 2787.64 yd^3
Step-by-step explanation:
This is the formula for the volume of a cone:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
The height of the cone is 22 yd. The radius of the base of the cone is not given but we can use the diameter to calculate it since the radius is equal to half of the diameter.
[tex]r=\frac{1}{2}d\\r=\frac{1}{2}(22)\\r=11yd[/tex]
Therefore, the radius of the base of the cone is 11 yd.
Now, we plug our values into the formula and solve.
[tex]V=\frac{1}{3} \pi r^2h\\V=\frac{1}{3} \pi (11^2)(22)\\V=\frac{1}{3} \pi (121)(22)\\V=\frac{1}{3} \pi (2662)\\V=\frac{1}{3} \pi (2662)\\V=2787.64 yd^3[/tex]
Therefore, the volume of the cone is equal to 2787.64 yd^3.
I hope this helps!
What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth
Answer:
7
Step-by-step explanation:
First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3
Which gives you 2/3 (9x - 6)
Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3
then you divide 6/3 with 2
Getting 2 (3x - 2)
The use the distributive law
2 x 3x - 2 x 2
simplify the equation
6x - 4
expand 4 (x +2) + 2: 4x + 10
which then equals 6x-4=4x+10
add 4 to both sides
6x-4+4=4x+10+4
simplify
6x=4x+14
subtract 4x from both sides
simplify again
2x=14
divide both sides by 2
2x/2 = 14/2
simplify one last time and get the answer
x=7
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
Answer:
56 feet
Step-by-step explanation:
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
From the above question, our ratio is given as:
Width : Length
5 : 7
Width = 40 feet ,
To solve for the Length, let us represent the length as x
Width/Length
= 5/7 = 40/x
Cross Multiply
5 × x = 7 × 40
x = 7 × 40/5
x = 56 feet
Hence: The length of the rectangular flower bed = 56 feet
24. One solution of the equation
2x2 - 7x+k=0 is x =-1. Find the value of k.
2
Answer:
this is the correct solution for your question
Answer:
The value of k is -4.
Step-by-step explanation:
In order to find the value of k, you have to substitite x = -1/2 into the equation :
[tex]2 {x}^{2} - 7x + k = 0[/tex]
[tex]let \: x = - \frac{1}{2} [/tex]
[tex]2 {( - \frac{1}{2} )}^{2} - 7( - \frac{1}{2} ) + k = 0[/tex]
[tex]2( \frac{1}{4} ) + \frac{7}{2} + k = 0[/tex]
[tex] \frac{1}{2} + \frac{7}{2} + k = 0[/tex]
[tex]4 + k = 0[/tex]
[tex]k = - 4[/tex]
A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?
Answer:
i just need more points so sorry im not helping
Step-by-step explanation:
im just a blank bc it doesnt let me say it seventh grader
Answer: 12
Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12
Plsss help correct answer gets marked
Answer:
B
Step-by-step explanation:
there are 7 blocks in the whole
the green portion is 3/7
1/2 times 6/7 is equal to 3/7
the answer is B
pls help asap!!!!!!!!!!!!!
Answer:
Number 2
Step-by-step explanation:
I can explain if needed to, since you said asap ill tell u the answer rq
 
Can someone pleaseee help if you’re correct I’ll
Give u brainlist !
Answer:
Step-by-step explanation:
The blank should be filled in with "Definition of Angle Bisector" because you're told that UW is a bisector of angles VUX and VWX which means that it splits those angles exactly in half.
URGENT PLEASE HELP!!Which is an equation of the line that has a slope of 2 and passes through the point (3,1)?
A. y=2r +5
B. y = 2x + 1
C. y = 2x - 1
D. y = 2x - 5
Answer:
The equation of the line is y = 2x - 5 ⇒ D
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptNote: To prove that a line passes through a given point, substitute x in the equation of the line by the x-coordinate of the point and solve to find y, if y equals the y-coordinate of the point, then the line passes through it
∵ The slope of the line is 2
∵ The line passes through the point (3, 1)
→ Find at first which equation has slope 2, then check if the line passes
through the point or not using the note above
A.
∵ y = 2x + 5
→ By comparing it with the form of the equation above
∴ m = 2
∴ The line has the same slope
→ Substitute x by 3 to find y
∵ y = 2(3) + 5 = 6 + 5 = 11
∵ y-coordinate of the point = 1
∴ The line does not pass through the point
B.
∵ y = 2x + 1
→ By comparing it with the form of the equation above
∴ m = 2
∴ The line has the same slope
→ Substitute x by 3 to find y
∵ y = 2(3) + 1 = 6 + 1 = 7
∵ y-coordinate of the point = 1
∴ The line does not pass through the point
C.
∵ y = 2x - 1
→ By comparing it with the form of the equation above
∴ m = 2
∴ The line has the same slope
→ Substitute x by 3 to find y
∵ y = 2(3) - 1 = 6 - 1 = 5
∵ y-coordinate of the point = 1
∴ The line does not pass through the point
D.
∵ y = 2x - 5
→ By comparing it with the form of the equation above
∴ m = 2
∴ The line has the same slope
→ Substitute x by 3 to find y
∵ y = 2(3) - 5 = 6 - 5 = 1
∵ y-coordinate of the point = 1
∴ The line passes through the point
∴ The equation of the line is y = 2x - 5
what is the equation for the line in slope-intercept form?
enter your answer in the box
Answer:
It might help u , plz Brain-list it
Step-by-step explanation:
The option is not given but still its clear from the graph
That its slope intercept form will be ,
X=0 (the point where it intersect x axis) and Y=0 (the point where it intersect y axis)
Answer:
y = 8x
Step-by-step explanation:
Hope this helps
(From k12)
Plzzz I need helpppp
Algebra
1. Marlin averages for his Social Studies class is listed below. If the teacher
weights homework at 20%, quizzes at 20%, tests at 45%, and the final exam
at 15%, what is Marlin's class average?
1)61%
2)71%
3)74%
4)82%
Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?
__________millimeters
Answer:
In the area that she observed, the water level fell 13.64mm over 6.4 years, for an average annual rate of change of: -13.64 ÷ 6.2 = -2.2 mm/ year.
Tom buys a shirt for $22.00 plus 7% sales tax. His cousin buys a shirt for $18.00 plus 4% sales tax.
A how much do Tom and his cousin pay for the shirts ( show your work )
B who spent more on tax
WILL BRAINLIST
Given the points (-4, 6) and (1, -2) find the slope.
Answer:
-8/5
Step-by-step explanation:
y values minus each other over x values minus each other
Answer:
-8/5 or -1.6
Step-by-step explanation:
the formula for slop is y2-y1/x2-x1
y2 is -2
y1 is 6
x2 is 1
x1 is -4
(-2-6)/(1+4)
(-8)/(5)
the slope is -8/5 or -1.6
(just in case you need to write out the work)
13857552359.3 rounded by it nearest whole number. I will give the brainliest. Please help!
Answer:
13857552359
Step-by-step explanation:
13857552359.3
3 is less than 5, so round down to 13857552359
Answer:
what is given: 13857552359.3
Ones: 13857552359
Tens: 13857552360
Hundreds: 13857552400
Thousands: 13857552000
Millions: 13858000000
Hint: Each of the numbers are different
P.S I put all of them because you didnt say which whole number you wanted
Hope this helped!
Complete the table then graph the points
whoever does it right i will give brainliest
Answer:
Step-by-step explanation:
Equation of a line has been given as,
y = -2x + 5
Input-output points lying on the the line are,
x 0 1 2 3
y 5 3 1 -1
Now we can plot these points on the graph and join them to get the line representing the given equation.
(As graph attached)
What rule should you use? help
Answer:
Sine
Step-by-step explanation:
Using the Law of Sines, you can solve triangles when given two angles and a side.
f(x) = |2x + 1| + 3
g(x) = -2
find (f + g)(x)
A.(f + g)(x) = |2x + 2|
B.(f + g)(x) = |2x| + 2
C.(f + g)(x) = |2x + 1| + 1
D.(f + g)(x) = |2x + 4| - 2
Answer:
(f + g)(x) = I2x + 1I + 1 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ f(x) = I2x + 1I + 3
∵ g(x) = -2
→ We need to find (f + g)(x), which means add the two functions
∵ (f + g)(x) = f(x) + g(x)
→ Substitute the right side of each function on the right side
∴ (f + g)(x) = I2x + 1I + 3 + (-2)
→ Remember (+)(-) = (-)
∴ (f + g)(x) = I2x + 1I + 3 - 2
→ Add the like terms in the right side
∵ (f + g)(x) = I2x + 1I + (3 - 2)
∴ (f + g)(x) = I2x + 1I + 1
will mark brainlest and giving 30 points
Which phrase best describes the relationship indicated by the scatter plot?
A.
constant correlation
B.
negative correlation
C.
positive correlation
D.
no correlation
Answer:
D
Step-by-step explanation:
Answer:
D, No correlation
Step-by-step explanation:
The function y=2.50x+20 can be used to determine the cost in dollars for the rental of x games for game store members. What is the rate of change of the cost in dollars with respect to the number of games?
A.$2.50 per game
B.$22.20 per game
C.$20 per game
D.$17.50 per game
I'LL GIVE YOU BRAINLIEST
Answer: I think it’s d but I’m not sure
The ratio of the number of boys to girls the number of girls in the school 729 and there are 1248 students in the school how many girls are there
Answer:
1005 girls
Step-by-step explanation:
From the question we are given ratio of boys to girls as 7 : 29
Total ratio will be 7 + 29 = 36
Total students in the school = 1248 students
Number of girls in the school = 29/36 * 1248
Number of girls in the school = 29 * 35
Number of girls in the school = 1005
Hence the approximate total number of girls in the school is 1005 girls
Note that the ratio was assumed since we are not given in question
14) Solve: 1/2x - 7 = 1/3 (x-12) *
Answer:
x=18
Step-by-step explanation:
What are the coordinates of point (-2, 4) after a 180 degree rotation?
Answer:
(2,-4)
Step-by-step explanation:
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
Hey Sorry I was not able to get the whole graph but it is the same on both sides except for the negative
If you answer this I will give Brainlyist
Answer:
The first one goes in between 1 and 2 because its a half and the other one goes on 2 because its 2.
Hope this helped, 0Drink0Milk0
Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answer:
The strategy is to find the x and y intercept of the given equation
Step-by-step explanation:
4x+3y≥12
In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;
x-intercept occurs at where y = 0
when y = 0
4x + 3(0)≥12
4x ≥12
x ≥12/4
x≥ 3
Also y intercept occurs at where x = 0
4x+3y≥12
4(0)+ 3y ≥12
3y≥12
y≥12/3
y≥4
Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation
Walmart is having a huge 25 % off sale!!!
If the SALE PRICE for a PS4 is $300, what was the ORIGINAL PRICE?
9514 1404 393
Answer:
$400
Step-by-step explanation:
If the price after taking 25% off is $300, then $300 is 75% of the original price.
$300 = 0.75p
$300/0.75 = p = $400
The original price was $400.
_____
Check
0.25 × $400 = $100
$400 -100 = $300 . . . . the price after taking 25% off
HELP!Please answer these for me?:)))
Answer:
You didn’t explain what we had to do....
Step-by-step explanation:
I’m not really sure...I’m sorry
If you dissolve 50g of sugar in 30g of water, what is the sugar concentration?
Answer: 62.5% water
100 * 50 / (50 + 30) = 100 times, then you do 50/80 and you get 62.5.
Answer:
62.5% or 62.5
Step-by-step explanation:
;)
Find Mack's debt-to-income ratio if his monthly expenses are $2850 and his monthly salary is $4000
PLS SHOW WORKKKK!!!
Will give brainillest to person that shows work :)
Answer:
debt-to-income ratio= 0.7125
Step-by-step explanation:
Giving the following information:
Monthly expenses= $2,850
Monthly income= $4,000
To calculate the debt-to-income ratio, we need to use the following formula:
debt-to-income ratio= monthly debt payment / gross monthly income
debt-to-income ratio= 2,850/4,000
debt-to-income ratio= 0.7125
As a percentage:
debt-to-income= 0.7125*100
debt-to-income= 71.25%
The debt-to-income ratio is the percentage of your income dedicated to paying your debts.