The surface area of the cylindrical tank on which the Michael is painting is 7065 ft².
What is surface area of cylinder?Surface area of cylinder is the area of each faces by which it is enclosed. The surface area of cylinder can be calculated with the following formula;
[tex]A=2\pi rh+2\pi r^2[/tex]
Here, (h) is the height of the cylinder and (r) is the radius.
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank so that he knows how much paint to purchase.
Put the values in the above formula,
[tex]A=2(3.14) (15)(60)+2(3.14)(15)^2\\A=7065\rm\; ft^2[/tex]
Thus, the surface area of the cylindrical tank on which the Michael is painting is 7065 ft².
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The height of the prism is ….
Answer:
[tex]\fbox{height \: of \: prism = 19 \: mm}[/tex]
Step-by-step explanation:
Given:
Shape of object is pentagonal prism
Side of pentagon= 12mm
Apothem of pentagon= 5 mm
Volume of pentagonal prism= 2,850 cubic mm.
To find:
Hieght of pentagon prism= ?
Solution:
To find height of prism it's necessary to calculate the surface area of base,
[tex]Area \: of \: regular\: pentagon = \frac{5}{2} \times side \: of \: pentagon \: \times apothem \\ Area \: of \: regular\: pentagon = \frac{5}{2} \times 12 \times 5 \\ Area \: of \: regular\: pentagon= \frac{5}{ \not2} \times \not12^{6} \times 5 \\ Area \: of \: regular\: pentagon= 5 \times 6 \times 5 \\ Area \: of \: regular\: pentagon= 150 \: {mm}^{2} [/tex]
[tex]Volume \: of \: prism = surface \: area \: of \: base \: \times height (h) \\ 2850 = 150 \times h \\ h = \frac{2850}{150} \cdot \frac{ {mm}^{3} }{ {mm}^{2} } \\ h = \frac{\not{ {2850}^{19} }} {\not150} \cdot \frac{ {mm}^{\not {3}^{1} } }{ {mm}^{\not2} } \\ \fbox{h = 19 \: mm}[/tex]
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The required height of the pentagonal prism is 19 cm
Given that,
A figure of a pentagon prism is shown with
The volume of the prism = 2850 cubic cm
Side of pentagon base = 12 mm.
And the perpendicular distance from the center to the side = 5 mm.
Volume is defined as the ratio of the mass of an object to its density.
Or in mathematics volume can be calculated as the area of the base multiplied by the height.
In order to get the height of the prism first, we have to calculate the area of the base and then divide the volume by its base area to get its height.
The base area = 5/2 * side * perpendicular height to side from center.
= 5 / 2 * 12 * 5
= 150
The volume of the prism = base area * height
2850 = 150 * height
height = 2850/15
= 19 cm
Thus, the required height of the pentagonal prism is 19 cm
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please huryyyyyyyyyyyyyyyyyyyyyy!!!!!!!!!!
Answer:
(x-1)^2 + (y-1)^2 = 16
Step-by-step explanation:
center, (h,k) = (1,1) radius = 4
put in standard form for a circle
(x-h)^2 + ( y-k)^2 = r^2
The ______________ probability of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trials of the experiment
Answer:
Empirical probability
Step-by-step explanation:
Empirical probability is data collected from experiment and real-life situation.
The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.
[tex]\Longrightarrow: \sf{P(E)=\dfrac{\text{number of times event occured}}{\text{number of trails}}[/tex]
Therefore, the correct answer is empirical probability.I hope this helps you! Let me know if my answer is wrong or not.
What makes this undefined.
The expression is undefined when x=3 or -3
Solution:An expression is undefined when it's divided by 0.In order to make the denominator equal 0, we need to subtract 9-9. Notice that x is squared.So x times itself should equal 9. What number is it?That's right, 3.So we have9-(3)^2=9-9=0There's also another solution: x=-3 (-3•(-3)=9Hope it helps.
Do comment if you have any query.
Answer: The expression is undefined when x is 3 or -3
Step-by-step explanation:
The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.
[tex]9-x^{2} =0\\[/tex]
We want [tex]x^2[/tex] to be positive so divide everything by -1
[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]
Use difference of two squares (DOTS) to factor
[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]
So x cannot be 3 or -3
How many lines of symmetry does the letter J have image is the J I'm talking about
Answer:
0
Step-by-step explanation:
there are no lines os symmetry in this letter there are no straight lines that don't intersect
Answer:
0
Step-by-step explanation:
If you split it in half it is not a mirror image of itself..
1. Total Value of the Burgers
2. Cost of Fries per order
3. Quantity of the sodas ordered
4. Total Value of the Salad
5. Cost of Salad per order
Formula:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Answer:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________
Step-by-step explanation:
1) 35×23 = 805
2) 800/40=20
3)170/10=17
4) 2000-805-800-170=225
5)225/15=15
Hence answers
1)805
2)20
3)17
4)225
5)15
The value of the expression
[tex] \frac{a - c}{2} - 2b[/tex]
if a=-5, b=3, c=-1
is equal to?
Indicate, in standard form, the equation of the line passing through the given points.
E-2, 2), 25, 1)
Enter your answer in the blank equation box.
Answer:
x + 27y - 52 = 0.
Step-by-step explanation:
The slope of the line = (y2-y1)/(x2-x1)
= (1-2)/(25- (-2))
= -1/27
Using the point slope form of a straight line:
y - 2 = -1/27(x- (-2))
y - 2 = -1/27x - 2/27
y = -1/27x - 2/27 + 54/27
y = -1/27x + 52/27
Multiply through by 27:
27y = -x + 52
x + 27y - 52 = 0 <------- Standard form.
6. A pond has 150 fish, and the population
decreases by 8% each day. Find the
population after 4 days.
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .
Answer:
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.
The mean hours students reported practicing their instruments is
✔ 33
.
The mean absolute deviation for the data is
✔ 6
.
Step-by-step explanation: answers.
Equation 1
y = 5x + 32
Equation 2
4y = 28x + 184
First solve for X.
Roxanne ran 10.73 miles on Monday and 3.01 miles on Tuesday. How many more miles did Roxanne run on Monday than Tuesday?
Answer:
7.72 miles
Step-by-step explanation:
Subtract 10.73 and 3.01 to find your answer
Answer:
Step-by-step explanation:
m
Find three rational numbers between - 2 and - 3
And please write in step by step explination.
Step-by-step explanation:
follow these steps with tbe no. of -2 and - 3 you will come with answer
Answer:
- 21/10, -5/2 and -11/4.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero).
So three naumbers between - 2 and -3 are
-2.1, -2.5 and -2.75 which can be written as:
- 21/10, -5/2 and -11/4.
The population of a city decreases by 3.9% per year. If this year's population is 200,000, what will next year's population be, to the nearest individual?
please show work 2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
A. y = 2x + 6
B. 2y + 6x = 0
C. y = 6x + 2
D. y + 2x = 6
We are given the line's slope and the line's y-intercept (the point where the line touches the y-axis)
It's easier to write the equation in Slope-Intercept Form, which looks like so:-
[tex]\boxed{y=mx+b}[/tex]
where m -> slope of the line & b -> y-intercept
Instead of m, you should plug in 6:-
y=6x+b
Instead of b, you should plug in 2:-
y=6x+2 ✓
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Can y’all help me with thjs
I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.
We can see the line goes through the points (1;2) , (2;4) , (3;6) ...
So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)
-> Leslle used half a cup of salad dressing for every serving of salad (B)
Answer:
B.
Step-by-step explanation:
Remember the first value is called the x-coordinate and the second value is the y-coordinate.
Find the first point the line crosses over.
So let's take the point (2,1).
As you can see that for every 2 servings Leslie uses 1 salad dressing cup,
2 to 1
Now look at the answers,
So you can are ready mark off A since it is not true,
You can mark off C since the line does not cross over points (1,4),
You can mark off D since the line does not cross over points (1,2),
That leaves you with B,
To check if it is true you need to find how much salad dressing cups are in one serving,
To do that you need to divide by 2 on both sides,
2÷2=1
1÷2=[tex]\frac{1}{2}[/tex]
your new rate is 1 to [tex]\frac{1}{2}[/tex]
So B is your answer.
Work out the size of angle x.
Answer:
47
Step-by-step explanation:
because you know that a triangle is 180 degrees and you have the other two degrees, so all you have to do is add 90 (the little box in the corner means 90) +43=133 and subtract by 180 giving you 47 as your answer.
Answer:
Heya! ^^
let's first look at some terms that may help us understand the concept of the question better.
______________________________________
★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°
______________________________________
now let's come over what the question says.
we've been given a right angled triangle with measure of one of its angle as 43°.
we've to calculate the measure of the third angle named " x "
therefore ,
[tex]by \: angle \: sum \: property \: of \: triangle \\ \\ 90\degree + 43\degree + x = 180\degree \\ \\ 133\degree + x = 180\degree \\ \\ x = 180\degree - 133\degree \\ \\ x = 47\degree[/tex]
thus the measure of x is 47°.
hope helpful :D
PLEASE HELP 50 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.
Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.
Answer:
4 inStep-by-step explanation:
Let the missing length is x.
According to Pythagorean, we have the following equation
[tex]x^2+3^2=5^2[/tex][tex]x^2+9=25[/tex][tex]x^2=25-9[/tex][tex]x^2=16[/tex][tex]x=\sqrt{16}[/tex][tex]x=4[/tex]Answer:
Missing length = 4 in
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 3 inb = ?c = 5 inSubstitute given values into the formula and solve for ?:
⇒ 3² + ?² = 5²
⇒ 9 + ?² = 25
⇒ ?² = 25 - 9
⇒ ?² = 16
⇒ ? = √16
⇒ ? = 4 in
halp please. MY c-ptsd is acting up and i cant be a emo baddie rn
Answer:
24 square units
Step-by-step explanation:
The Hernandez family built a backyard patio .
Area = 150 square feet
What could be the dimensions of the
patio?
A 100 feet long by 50 feet wide
B
50 feet long by 25 feet wide
15 feet long by 10 feet wide
D
10 feet long by 5 feet wide
which function has the same y-intercept as the one below
Check the picture below, so let's check the equations below hmmm
[tex]\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Evaluate 49x - 2 when x = 1
Answer:
47
Step-by-step explanation:
49x - 2
==> plug in x = 1
49(1) - 2
==> multiply 49 and 1
49 - 2
==> subtract 2 from 49
= 47
Answer:
47
Step-by-step explanation:
49x means 49×x
So substituting 1 into the equation gives us :
(49×1)-2
49-2
47
Therefore our answer is 47.
If u = ❬6, –9❭ and v = ❬–24, 36❭ with an angle θ between the vectors, are u and v parallel or orthogonal? Explain.
The vectors are parallel because cos θ = −1.
The vectors are parallel because u • v = 0.
The vectors are orthogonal because u • v = 0.
The vectors are orthogonal because cos θ = −1.
The vectors u = ❬6, –9❭ and v = ❬–24, 36❭ are parallel to each other because the cosine of the angle θ is equal to -1. (Right choice: A)
How to determine the relationship between two vectors
By linear algebra we can use the definition of dot product to determine the relationship between two vectors, whose cases are described below:
Two vectors are orthogonal if and only if cos θ = 0.Two vectors are parallel if and only if cos θ = 1 or cos θ = -1.And the expression for the cosine of the angle between the two vectors is:
[tex]\cos \theta = \frac{\vec u \,\bullet\,\vec v}{\|\vec u\|\cdot \|\vec v\|}[/tex] (1)
Where [tex]\|\vec u\|[/tex] and [tex]\|\vec v\|[/tex] are the norms of the two vectors, which are determined by Pythagorean theorem.
Now we proceed to calculate the angle between the two vectors:
[tex]\cos \theta = \frac{(6)\cdot (-24)+(-9)\cdot (36)}{(3\sqrt{13})\cdot (12\sqrt{13})}[/tex]
cos θ = -1
Thus, the vectors u = ❬6, –9❭ and v = ❬–24, 36❭ are parallel to each other because the cosine of the angle θ is equal to -1. (Right choice: A)
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
A square tile is decorated with dots and triangle patterns.
The tile is rotated into this new position.
Which tile sections should have a dot?
(sections have been numbered to help you identify them for your answer)
Answer
Who is your school?
Who is your class?
Who is the chapter
Bryan is trying to catch up with his friends during a road trip they are 100 miles ahead of him and driving 50 mph Bryan is driving 75 mph to try and catch up
Y=x+8
find the slope and the y-intercept of the line.
Slope: 1
y-intercept: 8
Solution:The given equation is written in slope-intercept form, which looks like so:y=mx+bIn the above formula, m stands for the slope, and b stands for the y-intercept.Notice that the slope is the coefficient of x (the number next to x) and b is the y-intercept.Therefore, the slope is equivalent to 1, and the y-intercept is equivalent to 8.Hope it helps.
Do comment if you have any query.
please help me asap....
Mrs. Vance decided to buy dress shirts for her two sons. She bought her older son a blue shirt for $9.91, and she bought her younger son a white shirt for $9.68. How much did she spend in all
Hope the picture will help you
Answer: $19.59
Step-by-step explanation:
9.91 + 9.68 = 19.59
Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?
Answer:
What would you do when you okay so he said yes would go What would you do when you okay so he said yes would go What would you do when you okay so he said yes would What would you do when you okay so he said yes would goWhat would you do when you okay so he said yes would go
Do number 9 please.
Let's first understand the information the problem gives us
⇒ 6000 nails were done
⇒ 2% of the 6000 nails were faulty
⇒ 2% is equivalent to 2/100
⇒ therefore 2/100 of 6000 nails were faulty
⇒ 2 out of every 100 nails were faulty
⇒ written mathematically
[tex]Faulty-nails=\frac{2}{100}*6000 = 2 * 60 = 120[/tex]
Thus there were 120 faulty nails
Hope that helped!