Since the surface area of this cylinder is [tex]432\pi \;yd^2[/tex], its diameter is equal to 12 yards.
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Given the following data:
Surface area of cylinder = [tex]432\pi \;yd^2[/tex]Height = 5r.Substituting the given parameters into the formula, we have;
[tex]432\pi = 2\pi r(5r) + 2\pi r^2\\\\432\pi = 2\pi 5r^2 + 2\pi r^2\\\\216=5r^2+r^2\\\\216=6r^2\\\\r^2=36\\\\r=\sqrt{36}[/tex]
r = 6 yards.
For the diameter:
Diamter = 2 x radius
Diamter = 2 x 6
Diameter = 12 yards.
Read more on surface area here: brainly.com/question/21367171
Which of the following is a statistical question?
A.
How much time do seniors at a school spend playing sports?
B.
How many hours did Mary sleep last night?
C.
How long was Joey’s baseball game yesterday?
D.
What is the shortest distance between Georgia and North Carolina?
How much time do seniors at a school spend playing sports? (option A) is a statistical question.
What is a statistical question?A statistical question is a question that can be answered by collecting and analyzing data using statistical methods. It is a question that requires more than just a single numerical answer, and instead, involves variability or variation in the data.
In a statistical question, the data can come from a sample or a population, and the goal is to use the data to draw conclusions about the larger group. Statistical questions often begin with words such as "how many," "how much," "what is the average," "what is the distribution," and "what is the relationship between."
A statistical question is a question that can be answered by collecting data and analyzing it using statistical methods. Based on this definition, option A is the statistical question as it involves collecting data (i.e., the amount of time seniors spend playing sports) that can be analyzed using statistical methods.
Learn about statistic here https://brainly.com/question/15525560
#SPJ1
find the value of x to the nearest tenth
Answer:
27
Step-by-step explanation:
So in the triangle, we've got the angle as 64°. And, there's only an opposite value and the hypotenuse value therefore the trig function is sin.
According to SOHCAHTOA,
sin=opp/ hyp
sin 64°=x / 30
Cross- multiply, then
x= 30 × sin 64°
x= 26.963
x= 27.0(nearest tenth)
What 2x4
Beacuse I need help on how to soulf it
Answer:
Its 8
Step-by-step explanation:
Please Help !!! The figure below is made of 2 rectangular prisms.
Answer:
124
Step-by-step explanation:
4*5*3
+
2*4*8
=124
Formula for volume of a rectangular prism is base x height.
On average 113,204 aluminum cans are recycled in a minute. approximately how many cans will be recycled in 16 days? (express your answer in scientific notation.) a. 2.61 times 10 superscript 9 aluminum cans b. 4.35 times 10 superscript 7 aluminum cans c. 1.09 times 10 superscript 8 aluminum cans d. 1.63 times 10 superscript 8 aluminum cans
The number of aluminum cans that will be recycled in 16 days in scientific notation is 2.61 × 10⁹.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
On average 113,204 aluminum cans are recycled in a minute approximately.
Then the number of cans can be recycled in 16 days.
[tex]\rm Number \ of \ cans = 113,204 \times 24 \times 60 \times 16 \\\\Number \ of \ cans = 2.608 \times 10^9 \approx 2.61 \times 10^9[/tex]
More about the multiplication link is given below.
https://brainly.com/question/19943359
Answer:
its not C just took test and it didnt tell me answer
Step-by-step explanation:
Picture blow………………….
ANSWER:
e. 4 and 2
f. 1 and 3
g. 5 and 6
h. 7 and 8
Ok done. Thank to me >:3
How do you evaluate a geometric series?
To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .
hope it helps...!!!
Suppose a 8-year loan for principal amount
$8500
was taken out. Over the life of the loan
$3400
was paid. If interest did not compound, what was the interest rate per year?
Step-by-step explanation:
8500× 8
8500
× 8
52000
so,
I will complete your answer
you can any doubt please ask to me
the interest rate per year is = 52000 answer
Bill uses rope to outline a location to build a rectangular deck that should be 8 feet wide and 15 feet long. His friend Tyrone lays a 15-foot-long board on the diagonal of the deck area Bill outlined, and it just fits from corner to opposite corner. What should Tyrone tell Bill?
The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.
What is a rectangle?A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.
The length of the diagonal (x) can be determined using Pythagoras, hence:
x² = 15² + 8²
x = 17 feet
The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.
Find out more on rectangle at: https://brainly.com/question/25292087
4
Required
Mr. Sanchez's class sold fruit pies for $1.73 each and Mr. Kelly's class sold bottles of fruit juice for $1.44 each.
Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations
that models this prolem. Show all your work!
The system of equations of the number of bottles in both classes has two distinct equations
Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles
How to solve the system of equations?
The given parameters are:
Mr. Sanchez = $1.73
Mr. Kelly = $1.44
Represent the number of bottles in both classes with x and y,
So, we have the following equations
1.73x + 1.44y = 130.83
x + y = 83
Next, we plot the graphs of the equations
From the graph (see attachment), we have:
(x,y) = (39,44)
Hence, Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles
Read more about system of equations at:
https://brainly.com/question/14323743
how this is hard and im hating this right now :/
Answer:
[tex]\boxed{\dfrac{y}{x}}[/tex]
Step-by-step explanation:
[tex]\dfrac{\dfrac{1}{x} }{\dfrac{1}{y} } \ \text{can also be written as} \ \dfrac{1}{x} \div \dfrac{1}{y}[/tex]
-------------------------------------------
[tex]\rightarrow \dfrac{1}{x} \div \dfrac{1}{y}[/tex]
Simplifying the expression using "a ÷ b = a x 1/b"
[tex]\rightarrow \dfrac{1}{x} \times y[/tex]
[tex]\rightarrow \boxed{\dfrac{y}{x}}[/tex]
what is 7/5 as a simple thing?
Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)
Here is how it is graphed:
Classify each polynomial by degree and number of terms. 1. Quartic monomial v 5x? - 7x + 9 2. Cubic binomial 2x3 + 3 < 3. Quadratic trinomial < 8x4 4. Quintic quadnomial
The degree of a polynomial is categorized by its highest power of its leading variable.
Degree and number of terms of a polynomial
Given the following polynomial functions, we are to classify them based on their degrees and the number of terms
For the polynomial function 5x^4 - 7x + 9
The degree is 4 being quartic and there are three terms in the expression
For the polynomial 2x3 + 3 < 3, the degree is 3 (cubic) with three terms in the expression.
For a Quintic quadnomial, the degree of the polynomial is 5.
Learn more on polynomials here: https://brainly.com/question/4142886
You supply a good at a price of $5. You also earn a profit at this price. This means that your marginal cost could be _____. $2.00 $5.00 $10.00
[tex]$5.00[/tex][tex]Hello[/tex] [tex]There![/tex]
Your answer is..:$[tex]5.00[/tex]
Hopefully, that helps you!!
[tex]OwoSokka[/tex]
What is the volume of this triangular prism?
Answer:
[tex]\text { The volume }=288 \mathrm{ft}^{3}[/tex]
Step-by-step explanation:
let V be the volume of the prism
B The area of the base which is a triangle
h is the height of the prism
______
Formula:
V = B × h
________
[tex]\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}[/tex]
h = 16
Now we calculate:
[tex]\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}[/tex]
F(X)=2(X-1)^2-4 in standard form
Answer:
[tex]f(x)=2x^2-4x-2[/tex]
Step-by-step explanation:
Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]
[tex]\begin{aligned}f(x) & =2(x-1)^2-4\\& =2(x^2-2x+1)-4\\& = 2x^2-4x+2-4\\& = 2x^2-4x-2 \end{aligned}[/tex]
on the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH
The equation y = 3x - 2 is a linear equation
Points (0,2), (1,1) and (2,4) are on the line y = 3x - 2
How to determine the points?The rule is given as:
y = 3x - 2
Set x = 0
y = 3(0)- 2 = -2
Set x =1
y = 3(1)- 2 = 1
Set x = 2
y = 3(2)- 2 = 4
The above means that (0,2), (1,1) and (2,4) are on the line y = 3x - 2
See attachment for the graph of the line y = 3x - 2
Read more about linear equations at:
https://brainly.com/question/1884491
I’m don’t have much points please help
~Denki Kaminari here~
Answer:
JGH
Step-by-step explanation:
it can be proven because there is the measurement of "P".
hope this helps :D
In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?
Answer: 244 degrees
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
9. (1,3); y+2=4(x-1)
Answer:
pretty sure its y = 2x +1
Step-by-step explanation:
-
What is the vertex of f(x) = 5x^2 + 20x – 16?
Answer:
(-2, -36)
Step-by-step explanation:
This is written in Standard Form
[tex]f(x)=5x^{2} +20x-16[/tex]
[tex]ax^{2} +bx+c[/tex]
Convert to vertex form.
[tex]f(x)=a(x-h)^{2}+k[/tex]
[tex]f(x)=5(x+2)^{2}-36[/tex]
Question 8 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
O A. What may be false
O B. None of these
O C. What may be true
O D. What must be true
Answer:
The answer is D.) What must be true
Step-by-step explanation:
Deduction is a phrase that refers to drawing conclusions based on a well-established premise. This is when you use logic to assess points based on a set of rules and conditions. You describe how the scenario might follow the rules. As a result, there is no incorrect deduction. If you evaluate it and find it to be true, it must be correct. I hope this helps! ^-^
Find the surface area of this figure.
Answer:
66550000000 in.²
Step-by-step explanation:
22³in x 10⁴in x 5⁴in = 66550000000 in
Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8
Answer:
Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8
A-18x+15
Multiply
−3/10xy (60xy^6)
[tex]-\frac{3}{10}xy (60xy^{6} )[/tex]
Answer:
[tex] - 18 {x}^{2} {y}^{7} [/tex]
Step-by-step explanation:
[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]
Find the missing sides (pls)
Step-by-step explanation:
27° + c = 180° ( supplementary angle )
c = 180° - 27
c = 153°
Now,
b = c ( vertically opposite angle )
b = 153°
who can help me with my math
Step-by-step explanation:
I am always available to help, post your worry
find the equation of a straight line which is parallel to the line with equation 5x+7y=14 and passes through a point (-2,-3)
Answer:
[tex]7y=-5x-11[/tex]
Step-by-step explanation:
Since it says the lines are parallel both of their gradients will be same.
so gradient of line 1 = [tex]y=\frac{14-5x}{7}[/tex] = [tex]y=\frac{14}{7}-\frac{5x}{7}[/tex]= [tex]-\frac{5}{7}[/tex]
so equation of line 2 = [tex]y-y_{1}=m(x-x_{1} )[/tex]
= [tex]y-(-3)_{}=\frac{-5}{7} (x-(-2)_{} )[/tex]
= [tex]y +3=-\frac{5}{7}x+\frac{10}{7}[/tex]
= [tex]y =-\frac{5x+10}{7}-3[/tex]
= [tex]7y=-5x-11[/tex]
Step-by-step explanation:
basically a line equation typically looks like
y = ax + b
with a being the slope, and b bent the y-intercept (y value when x = 0).
5x + 7y = 14
7y = -5x + 14
y = -5/7 x + 14/7 = -5/7 x + 2
so, wie know the slope of the original line : -5/7 .
any line parallel to it must have the same slope.
our desired line looks like
y = -5/7 x + b
to get b we use the provided point (-2, -3).
-3 = -5/7 × -2 + b = 10/7 + b
-21/7 = 10/7 + b
-31/7 = b
and the full equation is
y = -5/7 x - 31/7
7y = -5x - 31
5x + 7y = -31
Hello everyone i need help with the following question?
If x=3 and y=67
what is 6x × 8y + 27x - 6y + 3=
Answer:
9330
Step-by-step explanation:
6x × 8y + 27x - 6y + 3 = 18 × 536 + 81 - 402 + 3 =
9330
Answer:
The answer is 9330
Hope it helps
✧GHOSTOFSPARTA✧