The graph shows the number of paintballs a machine launches, y, in x seconds.
Which expression can be used to calculate the rate per second at which the machine launches the balls?
A) 80/4
B) 20/4
C) 4/80
D) 4/20
Answers
(4, 16)
16 divided by 4 is 4.
The answer is B, 20 balls in 4 seconds. Or 5 balls per second.
Hoped I helped! Please correct me if I'm incorrect.
Answer:
B) 20/4
Step-by-step explanation:
Required rate = [tex]\frac{Number of balls launched}{Time}[/tex]
From the graph, it is evident that (4, 20), (8, 40), (12, 60) and (16, 80) are points.
This means that
20 balls launched in 4 seconds and the rate = 20/4
40 balls launched in 8 seconds and the rate = 40/8 = 20/4
60 balls launched in 12 seconds and the rate = 60/12 = 20/4
80 balls launched in 16 seconds and the rate = 80/16 = 20/4
Hence, the rate per second at which the machine launches the balls is 20/4 and the correct option is (B).
Related Questions
Which ordered pair is the best estimate for the solution of the system of equations? y = −1/5x + 1 y = x + 4
Answers
y=-1/5x +1 Equation 1
y=x+4 Equation 2
Substitute value of y in equation 2.
x+4=-1/5x+1
Multiply both sides by 5.
5x+20=-x+5
Add x to both sides
6x+20=5
Subtract 20 from both sides
6x=-15
x=-15/6
x=-5/2
Now substitute value of x in equation 1.
y=-1/5 ( -5/2) +1
y=1/2+1
y=3/2
Solution is (x,y)= (-5/2 , 3/2)
Final answer:
The solution to the system of equations y = -1/5x + 1 and y = x + 4 is found by setting the equations equal to each other, solving for x, and then substituting back to find y. The solution is the ordered pair (-5, -1).
Explanation:
The student is asking to find the ordered pair that represents the best estimate for the solution to a system of linear equations. The given system of equations is: y = −1/5x + 1 and y = x + 4. To find the solution, we need to determine where the two lines intersect, which will give us the coordinates (x, y) of the solution.
To find the intersection, we can set the two equations equal to each other since they both equal y: −1/5x + 1 = x + 4. Then, we would solve for x:
Add 1/5x to both sides to get 1 = 6/5x + 4
Subtract 4 from both sides to get −3 = 6/5x
Multiply both sides by 5/6 to get x = −3 × (5/6)
Which simplifies to x = −5
Now we substitute x back into either of the original equations to find y. For instance, using the second equation y = x + 4, we find that:
y = (−5) + 4 = −1
Therefore, the ordered pair that is the solution to the system of equations is (-5, -1).
The mean age of swimmers for all these teams is 10 Which team has the greatest MAD?
Answers
The answer is Jasons!
Answer:
Step-by-step explanation:
There are 3 data sets given as
I) x 7 8 9 10 11 12 13 Total
Frequ 1 2 1 2 2 0 2
Mean dev|x-10|*f 3 4 1 0 3 0 6 17
II) x 7 8 9 10 11 12 13 Total
Frequ 2 3 0 0 1 1 3
Mean dev|x-10|*f 6 6 0 0 1 2 9 24
III) x 7 8 9 10 11 12 13 Total
Frequ 0 0 4 4 1 0 1
Mean dev|x-10|*f 0 0 4 0 1 0 3 8
Thus we find the middle one Jason has the highest deviation.
BRAINLIEST TO WHO GET IT RIGHT.
I know quadratic formula. I don’t understand how I would input the lines I’m given into that formula. Please help me, I already know what x equals.
Answers
.. 7^2 = y*(y +11)
.. 49 = y^2 +11y
.. y^2 +11y -49 = 0 . . . . . . . . the quadratic equation in standard form
Now, you're ready to use the quadratic formula. You have
.. a = 1
.. b = 11
.. c = -49
.. y = (-b ±√(b^2 -4ac))/(2a)
.. y = (-11 ±√(11^2 -4*1*(-49)))/(2*1) . . . . . substitute the values for a, b, c
.. = (-11 ±√317)/2 ≈ {-14.4, 3.4}
Since segment lengths can only be positive,
.. y ≈ 3.4 cm
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster rate?
Mel: (2, 50) and (5, 35)
Victor: (1, 60) and (4, 50)
Mel’s rate of change is____.That means that her height in the air decreases _____ feet every second.
Victor’s rate of change is _____ . That means that his height in the air decreases _____ feet every second.
Answers
m = ((y2) - (y1)) / ((x2) - (x1))
Mel: (2, 50) and (5, 35)
m1 = ((35) - (50)) / ((5) - (2))
m1 = -5 feet / s
Victor: (1, 60) and (4, 50)
m2 = ((50) - (60)) / ((4) - (1))
m2 = -3.333333333 feet / s
answer:
Mel was descending at a faster rate
Mel's rate of change is negative. That means that your height in the air decreases 5 feet every second.
Victor's rate of change is negative. That means that his height in the air decreases 3.33 feet every second.
The height of Mel in the air is decreasing at a faster rate than victor's height in the air.
Mel's rate of change is -5 feet per second. That means that her height in the air decreases 5 feet every second. Victor's rate of change is -3.33 feet per second. That means that his height in air decreases 3.33 feet every second.Given information:
Mel slides down water-slide A and Victor slides down water-slide B.
After 1 second, height achieved by [tex]\rm{Mel}= 50\; \text{Ft}[/tex]
After 5 seconds, the height remained is 35 feet.
In another case,
The height achieved by Victor after 1 second is 60 feet.The height remained after 4 second is 50 feet.Now, the expression is used for evaluating the slope of the equation are formulated below:
[tex]\bold{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Where, [tex]m[/tex] is the slope and [tex]x[/tex] and [tex]y[/tex] are respective coordinates.
Hence, for Mel's case, apply the formula of slope and solve it further:
[tex]\begin{aligned}m_1&=\dfrac{35-50}{5-2} \\m_1&=-5 \end{aligned}[/tex]
So, the rate of change of Mel's height is 5 feet per second.
And for victor's case, slope will be:
[tex]m_2=\dfrac{50-60}{4-1} \\\\m_2=-3.33[/tex]
The rate of change of victor's height is 3.33 feet per second.
Mel's rate of change is -5 feet per second. That means that her height in the air decreases 5 feet every second.Victor's rate of change is -3.33 feet per second. That means that his height in air decreases 3.33 feet every second.For more information visit:
https://brainly.com/question/14914699
The weight of an object on earth is about 6 times as great as the objects weight on earths moon. What is the weight of an object on Earth’ s moon if it weight 42 pounds on Earth?
An object would weight 6 pounds on Callisto . What would it weight on Earth’s moon?
Answers
x--------------------> weight of an object on earth
y-------------------> weight of an object on Earth’ s moon
we know that
x=6y
Part A) if x=42 pounds
y=x/6-------------- > 42/6= 7 pounds
the answer part A) is
if it weight 42 pounds on Earth the weight of an object on Earth’ s moon is 7 pounds
Part B) An object would weight 6 pounds on Callisto . What would it weight on Earth’s moon?
The gravitational forces existing on Jupiter's moon called Callisto are similar to those of the Moon
therefore
the answer is
An object would also weight 6 pounds on Earth’s moon
Terrance run 6 miles every half hour Jesse runs 2 miles every 15 minutes and Sandra runs at a rate of 8 miles in 45 minutes. How does Sandra unit rate compare to terrance and Jesse
Answers
To compare Sandra's unit rate with Terrance's and Jesse's, we must calculate their speeds in mph. Terrance runs at 12 mph, Jesse at 8 mph, and Sandra at 10.67 mph. Therefore, Sandra is faster than Jesse but slower than Terrance.
To compare Sandra's unit rate to Terrance's and Jesse's, we need to determine the speed at which each person runs in miles per hour (mph). The given information is:
Terrance runs 6 miles every half hour.
Jesse runs 2 miles every 15 minutes.
Sandra runs 8 miles in 45 minutes.
First, we calculate each person's running speed:
Terrance: 6 miles in 0.5 hours (30 minutes), so we multiply by 2 to find his speed per hour: 6 miles ÷ 0.5 hours = 12 mph.
Jesse: 2 miles in 0.25 hours (15 minutes), so we multiply by 4 to find his speed per hour: 2 miles ÷ 0.25 hours = 8 mph.
Sandra: 8 miles in 0.75 hours (45 minutes), so we divide her distance by the time in hours: 8 miles ÷ 0.75 hours = 10.67 mph.
Therefore, compared to Terrance and Jesse, Sandra's running speed is:
Faster than Jesse's (10.67 mph > 8 mph)
Slower than Terrance's (10.67 mph < 12 mph)
17 heartbeats in 15 seconds as a unit rate
Answers
Answer:
17 heartbeats in 15 seconds as a unit rate is-
1.13 over 1
hope it is clear to you
Ellen boughy a tray of plants for $8.15 there where 16 plants in the tray if i bought only one what would it cost
Answers
=$8.15/16
=$0.509 rounded to $0.51 cents each
One plant would cost $0.51 (rounded)
Hope this helps! :)
Louis has three more quarters than dimes in his pocket, for a total of $1.80. Which equation could be used to determine the number of dimes, x, in his pocket?
Answers
q=d+3
0.25q+0.10d=1.80
Substitute 0.25d+0.75+0.10d=1.80
Combine like terms 0.35d=1.05
Divide d=3
Substitute q=6
Answer 3 Dimes
make a triangle with 5 smaller shapes
Answers
To make a large triangle using 5 smaller shapes, the following small shapes were used:
- Rhombus
- Triangle
- Square
- Triangle
- Triangle
There are multiple ways that these shapes could be rearranged to form such a triangle, the attached image is simply an example.
The plans for a shed call for a rectangular floor with a perimeter of 248ft. The length is three times rhe width. Find the length and width
Answers
length= 93 width=31
248=2L+2w
L=3w
248=2x3w+2w
248=6w+2w
248=8w (248/8=31)
31=w
L=3 x 31
L=93
check answer: 248= 2x93 + 2x31
248=186+62
248=248
3x - y = 7
6x - y = 10
When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
Answers
When using elimination to solve the system of equations, subtracting the first equation from the second eliminates the y variable, resulting in the equation 3x = 3, which simplifies to x = 1.
When solving the system of equations by elimination, we align the equations vertically and subtract or add them to eliminate one of the variables. Let's consider the given system:
3x - y = 7
6x - y = 10
By subtracting the first equation from the second, we eliminate variable y. The subtraction works as follows:
(6x - y) - (3x - y) = (10) - (7)
Which simplifies to:
3x = 3
From this resulting equation, we can easily solve for x:
x = 3 / 3
x = 1
This is the first part of the solution. After finding the value of x, we substitute back into either of the original equations to solve for y.
Talia has 80 pounds of soil she wants to divide it into bucket so that each bucket weighs 4/5 lb how many buckets will she need
Answers
Match the numbers in scientific notation with the corresponding numbers in standard notation.
232,000,000
0.00000431
2,320,000,000
0.000000000000431
2.32E9
2.32E8
4.31E-13
4.31E-6
Answers
0.00000431 - 4.31E-6
2,320,000,000 - 2.32E9
0.000000000000431 - 4.31E-13
The matching of the given numbers to there standard notation is given as follows:
232,000,000------ 2.32E8
0.00000431 ------ 4.31E-6
2,320,000,000 ----- 2.32E9
0.000000000000431 ----- 4.31E-13
Step-by-step explanation:We know that the standard notation of a number is given by:
There must be only one digit before the decimal and rest after that.
Also, it there is a shift of the decimal to the right then the power goes to negative and positive if shift is to the left.
1)
232,000,000
Here we have to take the decimal 8 digits from the left and the number in standard notation will be given by:
[tex]2.32\times 10^8[/tex]
which is written as: 2.32E8
2)
0.00000431
Here we have to shift the decimal 6 digits to the right.
Hence, the number is expressed as:
[tex]4.31\times 10^{-6}[/tex]
which is written as: 4.31E-6
3)
2,320,000,000
Here the decimal is to be put 9 digits from the left and hence the number is represented as:
[tex]2.32\times 10^9[/tex]
which is given by: 2.32E9
4)
0.000000000000431
Here we will shift the decimal 13 places to the right and hence the number is given by:
[tex]4.31\times 10^{-13}[/tex]
which is given by: 4.31E-13
Which expression is equivalent to 15x+50
Answers
Final answer:
The equivalent expression to 15x+50, by factoring out the greatest common divisor, is 5(3x+10).
Explanation:
The question is asking for an equivalent expression to the linear algebraic expression 15x+50. By examining the coefficient and constant term, we note that both terms are divisible by 5. Therefore, we can factor out 5 to simplify the expression. The steps for simplification are as follows:
Find the greatest common divisor (GCD) of the coefficients, which in this case is 5.
Divide each term by the GCD.
Express the factored form using the distributive property.
By applying these steps:
The GCD of 15 and 50 is 5.
Dividing each term by 5 gives us 3x + 10.
Thus, we can write the expression as 5(3x + 10), which is equivalent to the original expression 15x + 50.
Three pizzas of the same size were purchased for a party. After the guests finished eating pizza, 1/3 of the first, 1/4 of the second, 1/6 and of the third pizzas were leftover.
Part A If the leftover pieces are combined, what fraction of one whole pizza remains? Explain how you got your answer.
Part B What fraction of all three of the pizzas purchased for the party was eaten? Explain how you got your answer.
Part C Only six guests ate pizza at the party. If all of them ate the same amount, what fraction of one pizza did each person eat? Explain how you got your answer.
Answers
B. First pizza:- 1 - 1/3 = 2/3 had been eaten.
Second pizza:- 1 - 1/4 = 3/4 was eaten.
Third pizza:- 1 - 1/6 = 5/6 was eaten.
C.
Total amount of pizza eaten = 3 - 3/4 = 9/4 = 2 1/4
Amount eaten per person = 9/4 / 6 = 3/8 of a pizza
A(n) __________ is a rate that has a denominator of 1.
empty set
unit rate
contradiction
identity
Answers
Hope this helped!
A 5-pound of flour costs $4.80. For this bag of flour, what is the cost of flour per ounce?
(1 pound = 16 ounces)
a. $0.06
b. $0.16
c. $0.60
d. $0.96
Answers
The cost of the flour per ounce will be $0.06 per ounce. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A 5-pound of flour costs $4.80.
We know that in one pound, there are 16 ounces. Then the number of ounces in 5 pounds is calculated as,
⇒ 5 x 16
⇒ 80 ounces
Then the cost of the flour per ounce will be given as,
⇒ $4.80 / 80
⇒ $0.06 per ounce
The cost of the flour per ounce will be $0.06 per ounce. Then the correct option is A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Assignment: Compound Interest Investigation
Tyler has earned money by helping out on a neighbor's farm and now wants to put his earnings in a savings account. He is a bit confused on the different interest options available and how each will impact the amount he has after several years. Help Tyler better understand by showing him how his money will increase in an account that uses simple interest and one that uses compound interest over a specified period of time.
1. a. If Tyler deposits $1500 of the $3200 he has earned in an account that pays 4% interest compounded annually, how much will he have in his account after 5 years?
b. If Tyler deposits $1500 of the $3200 he has earned in an account that pays 4% simple interest, how much will he have after 5 years? Show all work.
c. Which account would yield a greater amount? What is the difference between the two amounts?
2. a. If Tyler deposits $2000 of the $3200 he has earned in an account that pays 8% interest compounded quarterly, how much will he have in his account after 1 year?
b. If Tyler deposits $2000 of the $3200 he has earned in an account that pays 8% simple interest, how much will he have after 1 year? Show all work.
c. Which account would yield a greater amount? What is the difference between the two amounts?
3. Tyler decides to deposit his earnings of $3200 in a savings account. Bank A offers an account with a simple interest rate of 3.5%. Bank B offers an interest rate of 3.4% compounded annually. After 3 years, in which bank will Tyler have the greatest total? Show all work.
a. Find the interest earned for Bank A.
b. Find the total amount for Bank B.
c. Which bank should Tyler choose if he wants to earn the greater amount? Explain your reasoning.
d. Which account would yield a greater amount? What is the difference between the two amounts?
Answers
- Simple interest formula: [tex]A=P(1+rt)[/tex]
where:
[tex]A[/tex] is the final investment value
[tex]P[/tex] is the initial investment
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is number of years
- Compound interest formula: [tex]A=P(1+ \frac{r}{n} )^{nt} [/tex]
where:
[tex]A[/tex] is the final investment value
[tex]P[/tex] is the initial investment
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is he number of years
[tex]n[/tex] is the number of times the interest is compounded per year
1.
a. This is a compound interest account, so we are going to use our compound interest formula. We now that [tex]P=1500[/tex], [tex]t=5[/tex], and since the interest is compounded annually (1 time a year), [tex]n=1[/tex]. To find the interest rate in decimal form, we are going to divide it by 100%: [tex]r= \frac{4}{100} =0.04[/tex]. Now that we have all the values lets replace them in our compound interest formula:
[tex]A=1500(1+ \frac{0.04}{1}) ^{(1)(5)} [/tex]
[tex]A=1824.98[/tex]
We can conclude that after 5 years he will have $1824.98 in this account.
b. Here we will use our simple interest formula. We know that [tex]P=1500[/tex], [tex]t=5[/tex], and [tex]r= \frac{4}{100} =0.04[/tex]. Lets replace those values in our simple interest formula:
[tex]A=1500(1+(0.04)(5))[/tex]
[tex]A=1800[/tex]
We can conclude that after 5 years he will have $1800 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is [tex]1824.98-1800=24.98[/tex]
2.
a. Here we are going to use our compound interest formula. We know that [tex]P=2000[/tex], [tex]t=1[/tex] and [tex]r= \frac{8}{100} =0.08[/tex]. We also know that the interest is compounded Quaternary (4 times per year), so [tex]n=4[/tex]. Now that we have all our values lets replace them into our formula:
[tex]A=2000(1+ \frac{0.08}{4} )^{(4)(1)} [/tex]
[tex]A=2164.86[/tex]
We can conclude that after 1 year he will have $2164.86 in this account.
b. Here we are going to use our simple interest formula. We know that [tex]P=2000[/tex], [tex]t=1[/tex], and [tex]r= \frac{8}{100} =0.08[/tex]. Once again, lets replace those values in our formula:
[tex]A=2000(1+(0.08)(1))[/tex]
[tex]A=2160[/tex]
We can conclude that after 1 year he will have $2160 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is [tex]2164.86-2160=4.86[/tex]
3.
a. Since Bank A offers an account with a simple interest, we are going to use our simple interest formula. From the question we know that [tex]P=3200[/tex], [tex]t=3[/tex], and [tex]r= \frac{3.5}{100} =0.035[/tex]. Now we can replace those values into our formula to get:
[tex]A=3200(1+(0.035)(3))[/tex]
[tex]A=3536[/tex]
Now, to find the interest earned for Bank A we are going to subtract [tex]P[/tex] from [tex]A[/tex]
[tex]InterestEarned=3536-3200=336[/tex]
We can conclude that the interest earned for Bank A is $336
b. Since Bank B offers an account with a compound interest, we are going to use our compound interest formula. We know that [tex]P=3200[/tex], [tex]t=3[/tex], [tex]r= \frac{3.4}{100} =0.034[/tex], and since the interest is compounded annually (1 time a year), [tex]n=1[/tex]. Now that we have all the values, lets replace them in our formula to get:
[tex]A=3200(1+ \frac{0.034}{1} )^{(1)(3)} [/tex]
[tex]A=3537.62[/tex]
Now, to find the interest earned for Bank A we are going to subtract [tex]P[/tex] from [tex]A[/tex]:
[tex]InterestEarned=3537.62-3200=337.62[/tex]
We can conclude that the interest earned for Bank B is $337.62
c. Even tough the interest returns between the tow Banks are very similar, Bank B offers a slightly better interest over a period of time, which can make a big difference in the long run. If Tyler wants the earn more money, he definitively should deposit his money in Bank B.
d. The compound interest account from Bank B will yield more money than the simple account one from Bank A The difference between the tow amounts is [tex]3537.62-3536=1.62[/tex]
dining room furniture with a cash price of $1,900 at $100.00 down and $90.00 per month for 24 months a. $ b. $ c.
Answers
The total cost is $2,260.
The question involves calculating the total cost of purchasing dining room furniture with an initial down payment and subsequent monthly payments. First, we account for the down payment: $1,900 (cash price) - $100 (down payment) = $1,800 remaining balance. This balance will be paid over 24 months at $90 per month, thus 24 * $90 = $2,160. The total cost of the furniture, including the down payment, would then be the sum of the down payment and the total of the monthly payments: $100 + $2,160 = $2,260.
The total cost of the dining room furniture with this payment plan is $2,260.00.
The total cost for the dining room furniture with the given payment plan.
1. Down Payment: $100.00
2. Monthly Installments: $90.00 for 24 months
Calculate the total cost of the furniture before any payments are made:
[tex]\[ \text{Cash Price} = \$1,900 \][/tex]
The total amount paid through monthly installments:
[tex]\[ \text{Monthly Installment} = \$90.00 \times 24 \text{ months} = \$2,160.00 \][/tex]
Finally, let's add the down payment to the total amount paid through installments to find the overall cost:
[tex]\[ \text{Total Cost} = \$100.00 + \$2,160.00 = \$2,260.00 \][/tex]
What's the product of 713 and 82?
Answers
The dot is multiplication
Product means to multiplicate
Practice: Activating Prior Knowledge
Write three real-world examples of quantities that you would use scientific notation to express.
(Hint:What measurements are really large or really tiny?)
Answers
1. Earth's distance from the sun 150,000,000 kilometers. We can rewrite this in scientific notation as 1.5 x [tex] 10^{8} [/tex]
2. The length of a skin cell is 0.00003 meters. We can rewrite this in scientific notation as 3.0 x [tex] 10^{-5} [/tex]
3. The world population is about 7,000,000,000. We can rewrite this in scientific notation as 7 x [tex] 10^{9} [/tex]
Which of the following describes a ratio of actual events to the number of trials in an experiment? Select all that apply. HELP ME!!
prediction
experimental probability
theoretical probability
relative frequency
trial
uniform probability model
Answers
A cylinder shaped water tank has a diameter of 8 m and a height of 20 m. What volume of water does the tank contain when it is 60% full? Use 3.14 to approximate pi. Enter your answer as a decimal to the hundredths place in the box. m³
Answers
I need help with number 3 please, thanks.
Answers
I'd appreciate someones help right about now Haha :)
I need help :/
Answers
Explanation:
Since the question is asking for the number of suspensions, we'll only look at the left part of the chart.
The formula for mean is all the numbers added up in the set divided by the amount of numbers.
So, in this problem, we add up 4,5,6,7 and 8 which equals 30, and divide by 5 to get 6.
What is the surface area of this figure?
Answers
What is the appropriation for the perimeter of a semicircle with a diameter of 64 meters? Use 3.14 to approximate pi
Answers
[tex]C _f = 2 \pi r[/tex]
A semi-circle is half a circle, so it has half the circumference. We can just multiply the circle's circumference by 2 to get a semi-circle's perimeter's equation, which is:
[tex]C_{sc} = \frac{1}{2}(2 \pi r) = \pi r [/tex]
We are given the diameter which is twice as big as the radius. So, we can divide that by 2 as well to get the radius. Hence, the radius is 32. Plug in numbers:
[tex]C_{sm} = \pi 32 = 100.48[/tex]
So, the perimeter of the semicircle is 100.48m.
how do i solve this complex number (-3i)(-5i)(6+i)
Answers
3*5 * i*i
i*i = - 1
3*5 = 15
This much is - 15
Now use the distributive law.
-15 * (6 + i)
-90 - 15i
Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches. What is a good estimate of the volume of this cone?
Answers
=56.677inches3
The good estimate of the volume of the cone is 56.70 cubic inches whose radius is 1.9 inches and height of the wooden cone is 15 inches.
What is a cone?It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches therefore,
The radius of the wooden cone r = 1.9 inches
The height of the wooden cone h = 15 inches
We know the volume of a cone is given by:
[tex]\rm V = \pi r^2 \frac{h}{3}[/tex]
Put the values of the r and h, we get:
[tex]\rm V = \pi( 1.9^2) \frac{15}{3}[/tex]
V = 3.61×5×π
V = 56.70 cubic inches
Thus, the good estimate of the volume of the cone is 56.70 cubic inches whose radius is 1.9 inches and height of the wooden cone is 15 inches.
Learn more about the cone here:
brainly.com/question/16394302