The volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].
What is a volume of a cylinder?The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.
Given that, the height of a cylinder=6 meters and the diameter of a cylinder=6×6=36 meters (A diameter that is 6 times the measure of the height)
Now, radius [tex](r)=\frac{d}{2} =18 meters[/tex]
[tex]\pi =3.14[/tex]
We know that, the volume of the cylinder[tex]=\pi r^{2} h[/tex]
[tex]=3.14\times 18^{2} \times 6 m^{3}[/tex]
[tex]=6,104.16 m^{3}[/tex]
Hence, the volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].
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please place the dot for me(20 points will give brainliest!!!)
Answer:
a. t = 3 + √15 or t = 3 - √15
b. t = 6.87 or t = -0.87
Step-by-step explanation:
a.
Given : t² = 6t + 6
t² = 6t + 6 ⇔ t² - 6t + 6 = 0
USING THE QUADRATIC FORMULA:
[tex]t=\frac{6\pm \sqrt{\left( -6\right)^{2} -4\left( 1\right)(-6) } }{2}[/tex]
Then
[tex]t=\frac{6\pm \sqrt{36 +24 } }{2}[/tex]
Then
[tex]t=\frac{6\pm \sqrt{60 } }{2}[/tex]
Then
[tex]t=\frac{6\pm 2\sqrt{15 } }{2}[/tex]
Then
t = 3 ± √15
Then
t = 3 + √15 or t = 3 - √15
…………………………………………………
b.
t = 3 + √15 = 6.872983346207 ≈ 6.87
or t = 3 - √15 = -0.872983346207 ≈ -0.87
Find the area of the triangle, given that sin(C) = 1/2. Round the answer to the nearest whole number.
A. 26 square units
B. 75 square units
C. 150 square units
D. 299 square units
Answer: 75 square units
Given:
sin(C) = 1/2
Area of Triangle:
= 1/2 × a × b × sin(C)
= 1/2 × 13 × 23 × 1/2
= 74.75
≈ 75 square units
100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!! PLS HELP ASAP!!!!!!!
SHOW ALL WORK!!!!!!! EXPLAIN ALL WORK ASWELL!!!!!!!!!
1.
A theater has 20 rows of seats. If there are 4 seats in the 1st row 12 in the 2nd row, 20 in the 3rd row . How many seats are there in total? Show and explain all work.
Answer:
1,600 seats in the theater
Step-by-step explanation:
well it seems like each row is being increased by 8 seats each time.
we start with 4 seats in the 1st row. 12 in the 2nd. and 20 in the 3rd. I will make a chart showing you how many seats are in each row.
4th row - 28 5th row - 36 6th row - 44 7th row - 52 8th row - 60 9th - 68 10th - 76 11th - 84 12th - 92 13th - 100 14th - 108 15th - 116 16th- 124 17th - 132 18th - 140 19th - 148 20th - 156
if we add these all together you will get 1,600
Answer:
1600 seats
Explanation:
1st row = 4 seats, 2nd row = 12 seats, 3rd row = 20 seats
This is arithmetic progression with first term (a) being 4 and common difference (d) of 8 and total term (n) of 20.
Sum of arithmetic series:
[tex]\sf S_n = \dfrac{n}{2} ( 2a + (n-1)d)[/tex]
insert values
[tex]\sf S_{20} = \dfrac{20}{2} ( 2(4) + (20-1)8)[/tex]
[tex]\sf S_{20} = 1600[/tex]
Quadrilateral ABCD is translated 7 units down and 2 units to the right.
The length of side AB of the original quadrilateral is
units. After the translation, the length of side AB will
.
ABCD is a quadrilateral that has been translated 2 units to the right and 7 units down. The length of side AB will not change following the translation. Option C is correct.
What is translation?Each point in a figure is moved the same distance in the same direction using a sort of transformation known as translation.
The complete question is
"Quadrilateral ABCD has translated 7 units down and 2 units to the right.
The length of side AB of the original quadrilateral is_____ units. After the translation, the length of side AB will___________ .
2
3
3.5
4
----------------------------
Increase
Decrease
Remain the same"
Quadrilateral ABCD has translated 7 units down and 2 units to the right. After the translation, the length of side AB will remain the same.
Hence option C is correct.
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A (-2, 1) B (3,6) Find the gradient of the line
Step-by-step explanation:
A (-2,1) B (3,4) find the gradient of the line
m = -1
we know that=
m/y2 - y 1) / (x2-1)
= (-4-1)/{3-(-2)
=-5/(3+2)
=5/5
= 1
Ben, Tara and Liam are playing hide and seek. They start playing at quarter past 11. They play for 45 minutes, before stopping for a drink and a cookie. They continued to play for 45 minutes and head inside at 10 minutes past 1.
How long did they stop for a drink and a cookie. Explain your reasoning.
Answer:
25 minutes
Step-by-step explanation:
they started at a quarter past 11, which is 11:15
they then played for 45 minutes, which would be until 12:00
you also know that they stopped playing at 10 minutes past 1, at 1:10.
before 1:10, they had been playing for 45 minutes, which means they started playing for the second time at 12:25.
all that's left is the time between 12:00 and 12:25, which is 25 minutes, so they spent 25 minutes stopping for a drink and a cookie.
What is the sum? startfraction 2 over x squared endfraction startfraction 4 over x squared endfraction
Answer:
6/x²
Step-by-step explanation:
Rational expressions are added the same way numerical fractions are added. Their sum is the quotient of the sum of numerators, and the common denominator.
__
fraction sumThe given fractions already have the same denominator, so we simply add their numerators.
[tex]\dfrac{2}{x^2}+\dfrac{4}{x^2}=\dfrac{2+4}{x^2}=\boxed{\dfrac{6}{x^2}}[/tex]
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) 8?
Step-by-step explanation:
It's answer is x_> -27 by using inequality rule
Which rule can be used to describe the x-coordinates in the translation below ?
Answer:
The translation is [tex]X+0[/tex]
Step-by-step explanation:
A translation means the transformation that moves every point in a figure at the same distance in the same direction.
The translation can be described using words like moved up 3 and over 5 to the left or with the notation.
As for the given, there can be no rule described. so the translation is [tex]X+0[/tex]
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The translation is [tex]X+0[/tex]
A translation means the transformation that moves every point in a figure at the same distance in the same direction.
The translation can be described using words like moved up 3 and over 5 to the left or with the notation.
As for the given, there can be no rule described. so the translation is[tex]X+0[/tex]
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Is the following graph a linear function, non linear function, and or a relation
A book seller a book for Rs 70 at a gain of 40 percent find the profit
Answer:
Rs 20
Step-by-step explanation:
140%=Rs 70
100%
(100%×Rs 70)÷140%=50
Rs 70-Rs 50=Rs 20
You want to create an ID code for the students in your school based on three characters. The first and second characters must be a letter of the alphabet, and the third must be a digit between 1 and 9 inclusive. To find out how many different codes there are, would a list or tree diagram be practical in this case? Why or why not?
a.) Yes, we have all the information we need
b.) Yes, this is one way to find the answer
c.) No, since there are too many choices
d.) No, we don’t have all the information we need
In the case above, there will be about 6084 different codes and thus would tree diagram would not be practical in this case because option C. No, since there are too many choices.
What is the tree diagram about?Since there are 26 letters in an alphabet and only 9 digits in the third place is to be used.
Therefore, multiply the total number of alphabet cases is formed using letters in the first two characters and the digit in the third place and thus it will be:
26 × 26 × 9 = 6084
If a person is to show these 6084 cases using a tree diagram, it will be very complex and thus In the case above, there will be about 6084 different codes and thus would tree diagram would not be practical in this case because option C. No, since there are too many choices.
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CAN SOMEBODY PLEASE HELP? I WILL GIVE BRAINLIEST!!
Answer:0
Step-by-step explanation:2≠8,10 so we use the bottom formula. We get 4 - 6 + 2=0
Select the correct answer from each drop-down menu.
Line r cuts parallel lines p and q as shown in the figure.
Angles E and G are to each other because they are angles.
Answer:
see explanation
Step-by-step explanation:
angles E and G are congruent to each other because they are vertical angles.
What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
31
Step-by-step explanation:
x + 149 = 180
x = 180 - 149
x = 31
Answer: 31
Answer:
31°
Step-by-step explanation:
x + 149° = 180°
reason : because they are supplementary angle...
x = 180° - 149°
x = 31°
[tex]...[/tex]
Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15. More than he paid . How much should he charge?
The amount of charge for one bag of peanuts will be $0.65.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Jose bought 750 bags of peanuts for $375.00.
He intends to sell each bag for $0.15 more than he paid.
Then the amount of charge for one bag of peanuts will be
⇒ $375 / 750 + $0.15
⇒ $0.5 + $0.15
⇒ $0.65
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True or false: The graph of y=3x2-3 opens up.
Answer: True: The graph of y=3x²-3 opens up
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (0,−3)(0,-3)
Focus: (0,−35/12)
Axis of Symmetry: x=0
Directrix: y=−37/12
X={-2, -1, 0, 1, 2}
Y={9, 0, -3, 0, 9
Step-by-step explanation:
10) Find the perimeter of the shape below, which has been formed from two quarter circles, [1]
rounding your answer to 3 significant figures
P
8.7 cm
please help me with this problem!
Answer:
The choice A ;
[tex] \frac{1}{ {7}^{8} } [/tex]
Step-by-step explanation:
[tex] \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{ {7}^{ - 6 - 2} }{1} = {7}^{ - 8} = \frac{1}{ {7}^{8} } \\ \\ \\ or. \: \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{1}{ {7}^{ 2 + 6} } = \frac{1}{ {7}^{8} } [/tex]
Hii!
Answer:
Step-by-step explanation:
Use the rule of exponents.
If we divide two numbers with the same bases, we subtract the exponents.
7^-6/7^2=7^-6-2=7^-8
Now, if we have a negative exponent, we flip over the number.
7^-8=1/7^8
Great job!
—
Hope that this helped.
the heights of the students in a spanish class were measured. from the given data set, determine how many students are 65 inches or taller. a. 2 b. 3 c. 5 d. 4
There are 5 students who are 65 inches or taller. Option C is correct.
What is the height?Height is defined as the vertical distance between an object's top and bottom. It is measured in centimeters, millimeters, meters, and other units.
The term "height" is frequently used to describe someone's or something's height.
The height of the student in the Spanish class in the data set;
65, 63, 67, 59, 73, 60, 68, 61, 64, 60, 69
Student's heights are 65 inches or taller from the data set are;
65,67,73,68,69
There are 5 students who are 65 inches or taller.
Hence, option C is correct.
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What are the domain and range of f(x) = 2x - 41?
O domain: x < 2; range: (-∞0,00)
O domain: (-∞,00); range: f(x) > 0
O domain: (-∞0,00); range: f(x) < 0
O domain: x ≥ 2; range: (-∞,00)
The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = 2x – 41
Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.
Then the correct option is C.
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Help asap I need help really bad
Answer: it's answer A
Step-by-step explanation:
It's because the line move toward the greater side and the point where the line starts it a solid circle which then the answer is x is greater than or equal to 0 (x≥0)
and remember that when the circle is solid which means that the middle of the circle is black is should be always 'equal' when the middle of the circle isn't fully black that means you just have to put your answer like ">" just that.
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
f(x) = 3x − 6
The function values are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6
The problem is incomplete. The complete problem is
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) = 3x − 6
(a) f(1)
(b) f(−2)
(c) f(x + 4)
We have
(a) f(1) = 3 (1) - 6 = 3 - 6 = -3
(b) f(-2) = 3(-2) - 6 = -12
(c) f(x + 4) = 3(x + 4) - 6 = 3x + 6
So, the evaluations are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6
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find the values, if any, of the boolean variable x that satisfy these equations. x .1=0
The value of the boolean variable x is 0
How to determine the value of x?The boolean equation is given as:
x . 1 = 0
The above means that:
x and 1 = 0
The law of the and operator is that;
The output is 0 if both inputs are different.
One of the inputs is 1.
So, the other input is 0
Hence, the value of x is 0
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A portion of John Locke's time card is shown below. How many hours did he work for the week?
PLS PLS HELP IVE BEEN STUCK ON THIS FOR A VERY LONG TIME AND PLS IF YOU DONT KNOW THE ANSWER DONT ANSWER!!!!!
Answer:
40
Step-by-step explanation:
it's 8+8+8+7+9 so it's gonna be 40
Write the equation 0.10x + 0.25y = 16 so that the number of quarters y is a function of the number of dimes x. Describe the domain and range of the function and explain how you determined the domain and range.
Determine the horizontal asymptote for the rational function.
Y= 5
Y= -5
Y= 1
Y= -1
Answer:
The horizontal asymptote is y=1 and
The vertical asymptote is x=5
Which of the following will result in a rational number? Select all that apply.
An expression is defined as a set of numbers, variables, and mathematical operations
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be simplified as,
A.) 7 3/4 - (√11)/5 = (155-4√11)/20
B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)
C) 7 3/4 + (√16)/5 = 166/20
D.) 7 3/4 + (√16)/5 = 31/5
The option that will result in a rational number is C and D.
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decrease 2155.45 by 18.5 round 2dp
The solution is 1756.69
What is number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
We have to find the 18.5% of 2155.45.
So,
2155.45 * 0.185 = 398.75825
Now, subtract
21.55.45 - 398.75825
= 1756.69175
Hence, the value is 1756.69
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What is the volume of figure
Answer:
the middle of the shape
Step-by-step explanation:
