Final answer:
To find the diameter of the base of the cylinder, use the formula for the volume to solve for the radius, then double the radius to find the diameter.
Explanation:
To find the diameter of the base of the cylinder, we need to first find the radius. We can use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. Rearranging the formula to solve for the radius, we have r = √(V/πh).
Plugging in the given values: V = 63.6 cubic inches and h = 9 inches, we can find the radius: r = √(63.6/3.142 x 9).
Calculating the values: r ≈ √(20.2649) ≈ 4.5055 inches. The diameter is twice the radius, so the diameter ≈ 2 x 4.5055 ≈ 9.011 inches.
Need help with this ASAP. Anything is appreciated:))
So they seem to intersect around the 35 year mark, and tree B was planted at year 0, so therefore they intersected 35 years after Tree B was planted.
The x coordinate is years since B is planted. Looks like the x coordinate of the intersection is about 35 years.
Answer: 35 years
Write the expression in complete factored form.
x2 – 3x + xy - 3y
The storage container below is in the shape of a rectangular prism with a height of 6 feet and a length that is 2 feet more than its width. Recall that the formula for the volume of a rectangular prism is V = l · w · h, where l is the length, w is the width, and h is the height. Write the equation that represents the volume of the storage container in terms of its width. A. V = 6w2 - 12w B. V = 6w2 + 12 C. V = 6w2 - 12 D. V = 6w2 + 12w
The answer is B.) V = 6w2 + 12w
Answer:
V = 6w² + 12w
Step-by-step explanation:
0.193 ? 0.65
A. <
B. =
C. >
Answer:
A
Step-by-step explanation:
The answer is A, reason why is because if you add a 0 to the end of the number 0.65, the problem would then say; 0.193 < 0.650. So, if you take off the 0. on the front of both decimals it would then say 193 < 650 and 650 is greater than 193.
The school band is selling sweatshirts and baseball caps to raise $2000 to attend a band competition. Sweatshirts cost $25 each and baseball caps cost $10 each. The equation 25x + 10y = 2000 models this situation, where x is the number of sweatshirts sold and y is the number of basebal caps sold.
Answer:
X-intercepts: (80,0)
y-intercepts: (0,200)
Step-by-step explanation:
(To find the x-intercept, substitut in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y. As shown in the pictur)
The x-intercept and y-intercept of the equation will be (8, 0) and (0, 20).
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The school band is selling sweatshirts and baseball caps to raise $2000 to attend a band competition.
Sweatshirts cost $25 each and baseball caps cost $10 each.
The equation 25x + 10y = 2000 models this situation.
Where x is the number of sweatshirts sold and y is the number of baseball caps sold.
Then the x-intercept will be
25x = 200
x = 8
The x-intercept will be (8, 0).
And the y-intercept will be
10y = 200
y = 20
The y-intercept will be (0, 20).
The x-intercept and y-intercept of the equation will be (8, 0) and (0, 20).
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
find the area of the triangle whose vertices are x(3,2) y(-1,0)and z(1,-12)
Answer:
The triangle whose vertices are x(3,2) y(-1,0)and z(1,-12).
=> xy = sqrt(4^2 + 2^2) = 4.472
=> xz = sqrt(2^2 + 14^2) = 14.142
=> yz = sqrt(2^2 + 12^2) = 12.166
=> Perimeter/2 = P = (xy + yz + xz)/2 = (4.472 + 14.142 + 12.166)/2 = 15.39
=> Applying Heron's formula, the area of triangle would be:
A = sqrt(P*(P-xy)*(P-xz)*(P-yz))
= sqrt(15.39*(15.39 - 4.472)*(15.39 - 14.142 )*(15.39 - 12.166))
= 26.001
= ~26
Hope this helps!
:)
Shannon bought 5 pounds of apples. Bill bought 2 pounds of apples. Which most
closely estimates how many more pounds of apples Shannon bought than Bill?
Answer:
Shannon bought 3 more pounds of apples.
Step-by-step explanation:
5 - 2 is 3.
Answer:
3
Step-by-step explanation:
5-2=3
Please help me ASAP
Answer:
Two.
Step-by-step explanation:
Simultaneous equation is a Finite sets of equations whose common solutions are sought.
Two solutions in the equation above is sought.
Compute.
53÷ (−12 × −4)
Step-by-step explanation:
53 ÷ (-12 x - 4)
53 ÷ 48
= 1.10416
what are two whole numbers that the square root number 19 falls between
Which of the following represents the symmetric property of congruence?
Question 3 options:
A)
If ≅ , then ≅
B)
If ≅ , then ≅
C)
≅
D)
If ≅ and ≅ , then ≅
Answer:
The symmetric property of congruence is:
If ∠A ≅ ∠B, then ∠B ≅ ∠A.
If, AB ≅ CB, then CB ≅ AB.
Step-by-step explanation:
Two triangles are said to be congruent if they have the same three sides and the same three angles, not necessarily the same sides or the same angles are equal.
The properties of congruence are:
Reflexive property:
For all angles A, ∠A ≅ ∠A. That is, all angles are congruent to themselves.
If AB is side of a triangle then, AB ≅ AB.
Symmetric Property:
For any angles A and B if, ∠A ≅ ∠B, then ∠B ≅ ∠A.
For sides AB and CB of a triangle if, AB ≅ CB, then CB ≅ AB.
Transitive property:
For any angles A, B and C if, ∠A ≅ ∠B, and ∠B ≅ ∠C then ∠A ≅ ∠C.
For sides AB, CB and CA of a triangle if, AB ≅ CB, and CB ≅ CA, then AB ≅ CA.
Thus, the symmetric property of congruence is:
If ∠A ≅ ∠B, then ∠B ≅ ∠A.
If, AB ≅ CB, then CB ≅ AB.
Final answer:
The symmetric property of congruence is represented by Option B: If AB ≡ CD, then CD ≡ AB, aligning with the principle that if one quantity equals another, the second equals the first as well.
Explanation:
The symmetric property of congruence states that if one geometric figure is congruent to another, then the second is also congruent to the first. This is a reflection of the more general symmetric property of equality in algebra, which states that if one quantity equals another, the second equals the first as well.
Looking at the provided options, the one that represents the symmetric property of congruence is:
Option B: If AB ≡ CD, then CD ≡ AB.
This option correctly reflects the symmetric property, which can be written as if p ≡ q, then q ≡ p where p and q are geometric figures or algebraic expressions.
2. In a board game, you must roll two 6-sided number cubes. You can only start the game
if you roll a 6 on at least one of the number cubes. NOTE: This is using two cubes.
a. Make a list of all the different possible outcomes when two number cubes are
rolled (Sample Space) (2 points possible)
b. What fraction of the possible outcomes is favorable, or in other words, what is the
theoretical probability of rolling a 6 on at least one number cube when rolling
the two number cubes? (3 points possible) Hint: Highlight each pair in the
sample space that had at least one 6 in the outcome to help you identify
"favorable events
Answer:
A) Sample Space
(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
B)Probability of rolling a 6
10/36
Step-by-step explanation:
Answer:
A. 1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
B. 11/36 or 0.3055555
Step-by-step explanation:
1. You can see there are 36 outcomes when rolling the dice.
2. Then you find that there are 11 possible outcomes with at least one 6. (For example 1-6 2-6 3-6.)
3. The chance of rolling at least one 6 in a pair of dice is 11/36.
4. 11 divided by 36 is 0.3055555.
(Though the calculator on Google says 0.305555556.)
Combine like terms to simplify the expression! Pls help me quick!!
Answer:
1/2 K-3/5
Step-by-step explanation:
2/5K simplifies to 4/10K. 4/10K+1/10K=5/10K. 5/10=1/2. 1/2K
K and 3/5 are not like terms so you can't combine them.
1/2K-3/5
Answer:
Step-by-step explanation:
add [tex]\frac{2}{5}k[/tex] with [tex]\frac{1}{10}k[/tex]
[tex]\frac{2}{5}k + \frac{1}{10}k = \frac{1}{2}k[/tex]
[tex]\frac{1}{2}k -\frac{3}{5}[/tex] and this is your answer
If Logan's family can drive 23 1/8 miles on 1 gallon of gas, how far can they drive on 17 gallons?
Answer:
393 1/8 miles
Step-by-step explanation:
Distance driven in 1 gallon of gas = 23 1/8 miles
23 1/8 miles is mixed fraction.
converting 23 1/8 into improper fraction
23 1/8 = (23*8 + 1)/8 = 185/8
Thus 1 gallon of gas can drive 185/8 miles. ____________1
Since distance for 17 gallons is needed.
we multiply both gallon of gas and distance with 17.
1 *17 gallon of gas can drive 185/8*17 miles
17 gallon of gas can drive (185/8)*17 miles
=>17 gallon of gas can drive (3,145)/8 miles
converting (3,145)/8 miles into mixed fraction we have 393 1/8 .
Thus, Logan's family can drive 393 1/8 miles on 17 gallons.
Walter wants to learn more about the preferred salad ingredients of students in his
school. He surveys all students in his math class and finds that 4 prefer tomatoes,
14 prefer carrots, and 9 prefer cucumbers. What is the population and sample? Is
the sample a representative sample? Explain.
For example , If we want to calculate the average income of American data scientist , all American data scientists will be determine the population in this case,
A sample denotes a subset of population . When population is extremely large , the researcher draw a sample of the entire population and use this to analysis and study. So we can say a sample can represent a particular population.Here, Walter surveys all students in his math class and finds that 4 prefer tomatoes, 14 prefer carrots, and 9 prefer cucumbers.
Population = All students in his School
Sample = Students in his class.
No, the sample is not a representative sample, it is the convenience sample.
It can be possible that his class has influence of him or students of other classes may like exactly different ingredients for salad like sprouts, fruit etc.
Use the equation c = s + 10 to find the value of a when s = 2.
Answer:
C is 12
Step-by-step explanation:
You just add s "2" to 10.
Then you look and notice C is right next to the equal sign.
Finally, you have your answer of 12.
NEED HELP WITH TRIG please show work as i am trying to learn the material i'm really puzzled. its soh cah toa but i don't remember how to do it
Answer:
see below
Step-by-step explanation:
5. sin 31 = opp/ hyp
sin 31 = 34 /x
x = 34 / sin 31
x =66.0145369
tan 31 = opp /adj
tan 31 = 34/y
y = 34/ tan 31
y= 56.5855024
6. Pythagorean theorem to find z
9^2+12^2 = z^2
81+144 = z^2
225 = z^2
z =sqrt(225) =15
sin x = opp / hyp
sin x = 9/15
take the inverse sin
x = sin^ -1 (9/15) = 36.86989765
sin y = opp / hyp
sin y = 12/15
take the inverse sin
y = sin^ -1 (12/15) = 53.13010235
Answer:
1. sin(31) = opposite/hypotenuse
sin(31) = 34/x
x = 34/sin(31) = 66.0145369
x = 66.0°
tan(31) = opposite/adjacent
tan(31) = 34/y
y = 34/tan(31) = 56.5855024
y = 56.6°
2. tan(x) = opposite/adjacent
tan(x) = 9/12
x = 36.86989765
x = 36.9°
y = 180 - 90 - x
y = 53.13010235
y = 53.1°
z² = 9² + 12²
z² = 225
z = 15
How many 5-letter “words” can be formed from the letters of the word FORMULATED, if each will have the vowels at the two ends on the “word”?
Final answer:
To calculate the number of 5-letter "words" with vowels on the ends from 'FORMULATED', you multiply the number of ways to choose the two vowels (4 x 3) by the number of ways to choose the three different consonants (6P3; 6 x 5 x 4), resulting in 1440 different possible "words."
Explanation:
To determine the number of 5-letter "words" that can be formed from the letters of the word FORMULATED with vowels at both ends, we need to consider two parts: the selection of vowels and the selection of consonants. The word FORMULATED contains four vowels (O, U, A, E) and six consonants (F, R, M, L, T, D).
First, we choose the vowels for the ends. There are 4 vowels, which means we can select the first vowel in 4 ways. After selecting the first vowel, we can still choose the second vowel from the remaining 3 vowels (since we are allowing repetitions). This gives us 4 x 3 possibilities for the vowels.
Now we select the consonants for the center three positions. We have 6 different consonants to choose from, and since each position must be filled with a unique letter, we can select these in 6P3 (6 permute 3) ways, which is calculated as 6 x 5 x 4.
Finally, to find the total number of 5-letter "words," we multiply the number of ways to choose the vowels by the number of ways to choose the consonants, giving us 4 x 3 x 6 x 5 x 4 which equals 1440 possible "words."
Adriana has 12 paid sick days and 3 paid personal days
to use throughout the year. When she takes a day off,
she must use either a sick day or a personal day to get
paid for that day.
How many days with pay can Adriana take off?
Answer: 15
Step-by-step explanation: just add The two numbers together
Answer:
15 days a year
Step-by-step explanation:
Find an ordered pair , x y that is a solution to the equation. 3x-y=1
Answer:
2,5
Step-by-step explanation:
2,5 is just one of the many solutions to this problem. you can just take a random number for x, for example 2. your equation will look like this 3(2)-y=1. now you just solve for y. 3x2=6. 6-1=5. so y=5.
To find the solution to the equation 3x - y = 1, we can choose a value for x and solve for y. By substituting x = 2, we find that the ordered pair (x, y) = (2, 5) is a solution.
Explanation:To find an ordered pair (x, y) that is a solution to the equation 3x - y = 1, we first need to choose a value for x and then solve for y. Let's choose x = 2:
Substitute x = 2 into the equation: 3(2) - y = 1Simplify: 6 - y = 1Isolate y by subtracting 6 from both sides: -y = 1 - 6Simplify: -y = -5Divide by -1 to solve for y: y = 5
Therefore, the ordered pair (x, y) = (2, 5) is a solution to the equation 3x - y = 1.
Learn more about Solving Equations here:https://brainly.com/question/18322830
#SPJ3
Use the equation p = t - 3 to find the value of p when t = 5.
Answer:
p=2
Step-by-step explanation:
Since t is 5, in the equation you will plug in 5.
So, it will be 5-3.
Subtract 5 and 3.
5-3=2
So p is 2.
Final answer
p=2
2.06 ? 2.060
А. <
B.>
C.=
2.06 is equivalent to 2.060
The numbers 2.06 and 2.060 are equal. So, the correct symbol to represent their relationship is C. = (equal) Therefore, the correct answer is option c.
The numbers 2.06 and 2.060 have the same numerical value; they represent the same quantity. The difference between them is the way they are expressed in terms of decimal places.
2.06: This number has two decimal places.
2.060: This number has three decimal places.
However, since there are no digits beyond the third decimal place in either number, the extra zero in 2.060 doesn't change the value of the number. In other words, the two numbers are numerically identical.
Therefore, you can represent their relationship with the "equals" symbol ( = ), indicating that they are equal:
C. = (equal)
Therefore, the correct answer is option c.
Learn more about comparison between numbers here:
https://brainly.com/question/24747832
#SPJ2
Which of the following shapes is described as having one triangular base and three lateral faces?
square pyramid
triangular prism
triangular pyramid
cone
NEXT QUESTION
ASK FOR HELP
Answer: triangular pyramid
Step-by-step explanation:
Answer:
Triangular Pyramid
Step-by-step explanation:
A triangular pyramid consists of 1 triangular base, with three lateral faces also in the shape of a triangle. Its net consists of 4 triangles, and is a solid 3-Dimensional figure. I hoped this helped.
PLEASE HELP!!!!!!!!!!!!!!!!!! WILL MARK BRAINLIEST IF CORRECT ANSWER!!!!!!!!!!!!!!!!!!1
Kylie needs to pack her baton for a color-guard competition. The baton is 38 inches long. Will it fit in a rectangular box with a base of 13 inches by 35 inches and height of 13 inches?
Part A
Could the baton lie flat on a diagonal along the base of the box?
A. Yes, because the diagonal is 48 inches long.
B. Yes, because the diagonal is 41.4 inches long.
C. No, because the diagonal is 37.3 inches long.
D. No, because the diagonal is 18.4 inches long.
I think C. but need help, is it right? How so?
Part B
Could the baton fit along the interior diagonal of the box? Explain.
Answer:
C.; Yes
Step-by-step explanation:
A)
The longest thing that can fit along the base of the box is sqrt ( 13^2 + 35^2) = 37.3, which is less than 38, so NO, the baton can't lay flat on a diagonal along the base of the box C. No, because the diagonal is 37.3 inches long.
B) The interior diagonal of the box is sqrt(13^2 + 13^2 + 35^2) = sqrt (1563), which is 39.5, which is greater than 38, so YES, the baton can fit along the interior diagonal of the box.
A movie theater charges $5 for an adult ticket and $2 for a child's ticket. One Saturday, the theater sold 785 tickets for $3280. How many child's tickets and adult's tickets were sold that Saturday?
Answer:
5x + 2y = 3280
x+y = 785
x = 785 - y
5*(785 - y) + 2y = 3280
3925 - 5y + 2y = 3280
3925 - 3280 - 3y = 0
645 = 3y
y=645/3=215
x=785-215 = 570
Adults - 570 tickets, childs - 215 tickets.
570*5 + 215*2 = 3280
570 adult and 215 child and 3,280 in total
if i could get brainliest that would be great
Answer: 215 child tickets, 570 adult tickets.
Step-by-step explanation:
The box plot shows ages of randomly sampled attendees at two different movies. Check all statements that apply to Movie A.
A) The range of the ages are greater
B) The ages are more consistent
C) The interquartile range is 15
D) The median ages of attendees are greater
Option B. is correct. Using box plot, the statement that apply to movie A is the ages are more consistent.
What is box plot?A box plot is "a special type of diagrams that shows quartiles in a box and the lines extending from the lowest to the highest value".
According to the question,
The box plot shows ages of randomly sampled attendees at two different movies.
The statement A. The range of the ages are greater. This statement is false because in the box plot movies A is range is 35 (subtract highest value from lowest value) that is not greater. Thus, this statement is false.Statement B. The ages are more consistent. This statement is true. To find consistency in box plot using hypotheses test we get consistency. Thus, the ages are more consistent. Statement C: Using value in box plot the interquartile range is Q₃ - Q₁. Where Q₃ - Q₁ = 42.5 - 17.5 = 25. Thus statement is false.Statement D: In box plot the median ages of attendees are greater. This statement is false.Hence, the ages are more consistent in box plot shows age of randomly sampled attendees at two different movies.
Learn more about box plot here
https://brainly.com/question/1523909
#SPJ2
Given points -6,-3 and 8,0 find the slope
Answer:
3/14
Step-by-step explanation:
gradient = (0-(-3))/(8-(-6)) = 3/14
What is the answer to this math question?
Answer:
The answer is option 3.
Step-by-step explanation:
First we have to find the area of both rectangle and triangle :
Rectangle,
[tex]area = base \times height[/tex]
Let base = 9,
Let height = 3,
[tex]area = 9 \times 3 \\ area = 27 \: {m}^{2} [/tex]
Triangle,
[tex]area = \frac{1}{2} \times base \times height[/tex]
Let base = 3,
Let height = 3,
[tex]area = \frac{1}{2} \times 3 \times 3 \\ area = \frac{1}{2} \times 9 \\ area = \frac{9}{2} \\ area = 4.5 \: {m}^{2} [/tex]
Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :
[tex]area = 27 - 4.5 \\ area = 22.5 \: {m}^{2} [/tex]
Answer:
its 22.5 because i did a sguare then divivded it by 2 then i added the rectangle
Graph the rational function. f(x )= x^2 - 7x + 10/x - 5
Answer:
x ≓ -1.425806820
Step-by-step explanation:
Answer:
Vertical Asymptotes: x=-4
Horizontal Asymptotes: y=1
16) The cost, in dollars, of retaining the services of a computer repairman in Anchorville is given by
y = 42x + 32, where x is the number of hours worked
A) 32 signifies the hourly rate, and 42 signifies the overhead charge
B) 42 signifies the hourly rate, and 32 signifies the overhead charge
C) 74 signifies the cost for an on-site inspection
D) -42 signifies the hourly rate, and 32 signifies the travel cost
Answer:
B) 42 signifies the hourly rate, and 32 signifies the overhead charge
Step-by-step explanation:
The hourly rate is the amount of money given per hour worked. 42x basically means that for every hour, $42 are given.
As for 32, it is the overhead charge, which isn't paid every hour but rather only once. That is why it has no variable beside it.
Hope this helps!