Answer: 1: 3x
2: area
3: six
4: 3/2
Step-by-step explanation:
The height of the pyramid can be represented as 3x, The area of the hexagon base is six times the area of the equilateral triangle, and the volume is 3/2 times √3 x³.
What is a pyramid that has a hexagonal base?The pyramid has a hexagonal base with six isosceles triangular faces known as a hexagonal base pyramid. It is also called a heptahedron.
We have,
The length of the base edge of a pyramid = x units
The height of the pyramid is three times longer than the base edge ie.
The height of the pyramid = 3x
The area of an equilateral triangle with base length x units is [tex]\rm x\sqrt{3}[/tex] square units square(let's assume)
Then the area of the hexagon base = 6×[tex]\rm x\sqrt{3}[/tex] ⇒ 6[tex]\rm x\sqrt{3}[/tex] square units.
Because the hexagon base has a six-equilateral triangle.
Let's assume the area of a hexagonal base is Y times the equilateral triangle.
[tex]\rm 6x\sqrt{3} = Y \times x\sqrt{3}[/tex]
Y = 6 times
We know the volume of a hexagonal pyramid = [tex]\frac{\sqrt{3} }{2} a^2h[/tex]
Where a is the base length and h is the height of the hexagonal pyramid.
Here a = x units and h = 3x units
Then Volume:
[tex]\frac{\sqrt{3} }{2} x^2(3x)\\\\\frac{{3} }{2} \sqrt{3}x^2[/tex]
Thus, the height of the pyramid can be represented as 3x, The area of the hexagon base is six times the area of the equilateral triangle, and the volume is 3/2 times √3 x³.
Learn more about the pyramid here:
https://brainly.com/question/17615619
Suppose you flip a coin and spin a spinner that is divided into 8 equal regions. Of the 8 equal regions, 3 are red, 4 are black and 1 green. What is the probability of "tails" on the coin, and the spinner landing on red?
(Hint: How many spaces are on the spinner total?)Immersive Reader
(5 Points)
Answer:
18.75%
Step-by-step explanation:
The probability of the coin is 1/2, because it only has two options (tail or head).
Now, in the case of roulette, it has a total of 8 options, and the red region has 3 parts, that is, of the 8 options, roulette 3 is red, therefore the probability is 3/8
Now the final probability is the multiplication of the probability of both events:
(1/2) * (3/8) = 0.1875 s 18.75%
In other words, the probability of these two events happening, that the tail comes out and is red, i
What is the product? StartFraction 2 y Over y minus 3 EndFraction divided by StartFraction 4 y minus 12 Over 2 y + 6 EndFraction
Answer:
[tex]\dfrac{y^2+3y}{y^2-6y+9}[/tex]
Step-by-step explanation:
When we write this using appropriate math symbols, it is easier to see the solution. To evaluate this, we multiply by the inverse of the denominator fraction.
[tex]\dfrac{2y}{y - 3}\div \dfrac{ 4 y - 12}{2 y + 6}=\dfrac{2y}{y-3}\cdot\dfrac{2y+6}{4y-12}\\\\=\dfrac{4y(y+3)}{4(y-3)^2}}=\boxed{\dfrac{y^2+3y}{y^2-6y+9}}[/tex]
Answer:
d
Step-by-step explanation:
the measures of angles of a hexagon 4x,5x,6x,7x,8x,9x.calculate the size of the largest angle.
Answer:
166 2/13 deg
Step-by-step explanation:
The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).
A hexagon has 6 sides, so n = 6.
sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720
4x + 5x + 6x + 7x + 8x + 9x = 720
39x = 720
x = 720/39
x = 240/13
The largest angle has measure 9x.
9x = 9 * 240/13 = 2160/13
2160/13 = 166 2/13
Answer: 166 2/13 deg
What is the slope of the line represented by the table below?
x y
-2 0
0 2
1 3
3 5
7 9
whats the slope
Answer:
The slope is 1 and the y-intercept is 2
What is the ratio of white shirts to all other colored shirts?
Favorite T-Shirt Colors of Teen-Aged Girls Surveyed
Red
Blue
Green
White
Pink
Orange
Yellow
Type your answer here
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Answer:
1:12
Step-by-step explanation:
I need help ASAP on this math question first one to answer get marked brainliest
Answer and Step-by-step explanation:
First, you want to graph the line of x = -1. This line is simply a vertical line running through (-1, 0).
The coordinates of each of the points are:
G(5, 9)
F(8, 9)
D(5, 6)
E(8, 6)
When we reflect point G over the line x = -1, we will get a point with the same y-coordinate, but with a different x-coordinate. Since 5 is 6 units away from -1, when you reflect G, the new x-coordinate will be -1 - 6 = -7. So, the new point for G is (-7, 9).
By similar reasoning for all the other points, we have:
F'(-10, 9)
D'(-7, 6)
E'(-10, 6)
Finally, just graph the points G'(-7, 9), F'(-10, 9), D'(-7, 6), and E'(-10, 6), and that's your new shape.
Hope this helps!
Answer:
D': (-7,6)
E': (-10,6)
F': (-10,9)
G': (-7,9)
Step-by-step explanation:
D: (5,6)
E: (8,6)
F: (8,9)
G: (5,9)
After reflection in x = -1
D': (-1-6,6)
E': (-1-9,6)
F': (-1-9,9)
G': (-1-6,9)
D': (-7,6)
E': (-10,6)
F': (-10,9)
G': (-7,9)
What is the image of (6,−3) after a dilation by a scale factor of 1/3 centered at the origin?
Answer:
(2,-1)
Step-by-step explanation:
Multiply everything by 1/3:
6*1/3=2
-3*1/3=-1
This makes it smaller, so you know what the dilation is.
Answer:
first person is correct
Step-by-step explanation:
(PLEASE HELP) A red die is tossed and then a green die is tossed. What is the probability that the red die shows a number larger than three or the green die shows a number less than three? Make sure your answer is reduced.
Answer:
2/3
Step-by-step explanation:
Well, it supplied the formula, so let's start from there.
P(A or B) = P(A) + P(B) - P(A and B)
Let A = the probability that the red die shows a number larger than three
Let B = the probability that the green die shows a number less than three
I'm assuming they both have 6 numbers on them, like a regular die.
So there are 3 possibilities that are larger than 3 (4, 5, and 6) and 6 total possibilities, so A = 3/6.
There are 2 possibilities that are less than 3 (1 and 2) and 6 total possibilities, so B = 2/6.
Plug that into the formula.
P(A or B) = 3/6 + 2/6 - P(A and B)
Now we have to subtract the probability that both A and B happen, which is 3/6 * 2/6 = 6/36 = 1/6.
P(A or B) = 3/6 + 2/6 - 1/6
P(A or B) = 4/6 = 2/3
The volume of a cube is found by using the formula Alta third power where else side length if the side length is 4X to the third power what is the volume of the cube
Answer:
Volume of the cube is [tex]64x^9[/tex].
Step-by-step explanation:
Given:
Volume of the cube [tex]V = L^3[/tex]
where [tex]L[/tex] ⇒ side length
side length [tex]L =4x^3[/tex]
We need to find the Volume of the cube.
Solution:
Now we know that;
Volume of the cube [tex]V = L^3[/tex]
But side length [tex]L =4x^3[/tex]
So we will substitute the value of L in above equation we get;
Volume of the cube [tex]V = L^3=(4x^3)^3[/tex]
Now by using Law of indices which states [tex](a^m)^n=a^{mn}[/tex]
So we can say that;
Volume of the cube [tex]V = L^3=(4x^3)^3=4^3x^{3\times3}=64x^9[/tex]
Hence Volume of the cube is [tex]64x^9[/tex].
Select the correct answer. Which expression is equivalent to x + y + x + y + 3(y + 5)? A. 2x + 5y + 5 B. 2x + y + 30 C. 2x + 5y + 15 D. 2x + 3y + 10 Reset
Answer:
c
Step-by-step explanation:
Answer:
Question
Select the correct answer. Which expression is equivalent to x + y + x + y + 3(y + 5)? A. 2x + 5y + 5 B. 2x + y + 30 C. 2x + 5y + 15 D. 2x + 3y + 10 Reset Answer C.
Step-by-step explanation:
4n+ 0.24 = 15.76
contains decimals
step by step please
Answer:
3.88
1. Subtract both sides by 0.24:4n + 0.24 = 15.76
- 0.24 - 0.24
______________
4n = 15.52
2. Divide by 4 on both sides to isolate 'n':4n = 15.52
__ ____
4 4
n = 3.88
How many unit cubes are in one layer??
The number of unit cubes in one layer may vary depending on the type of cubic lattice structure. In a simple cubic lattice, there is one atom per unit cell. However, without specific dimensions or the exact structure type, the exact number of cubes per layer cannot be determined.
Explanation:When we talk about the number of unit cubes in one layer, we must understand the geometry of the structure we are discussing. In a simple cubic lattice, each layer is made up of unit cubes that sit next to each other on each side. If the structure is in fact a simple cubic unit cell, then according to Figure 10.49 which describes this as having an atom at each of its eight corners and being shared by eight unit cells, there would be a total of one atom per unit cell.
In the context of a body-centered cubic structure mentioned, which is depicted in Figure 10.51, atoms in a specific layer do not touch each other, making the calculation of unit cubes in a single layer less straightforward; the cubes in the layers above and below touch the atom at the center.
Without specific dimensions or the type of cubic structure (simple cubic, face-centered cubic, or body-centered cubic), the exact number of unit cubes per layer cannot be determined. If we consider a cube made up of smaller unit cubes with a known side length, such as the polystyrene cube measuring 10 cm per side as mentioned, the number of unit cubes per layer would simply be the area of the cube's face divided by the area of one unit cube face. For a 10 cm cube, if each unit cube is 1 cm3, then there would be 10 x 10 = 100 unit cubes per layer.
SOMEBODY PLEASE PLEASE PLEASE HELP ASAP ASAP ASAP I WILL MARK THE BRAINLIEST FOR WHOEVER ASNWERS RIGHT PEASE HURRRRRRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY!!!!!!!!!!!!!!!!!!!!!!!!!! wow ok cuz this app is really making me mad nobody frickin answers when needed but then 500 days later they wanna answer honey by then imma be a grown women wit 5 kids a husband and dog f outta here man
Answer:
13
Step-by-step explanation:
√(12-0)^2+(5-10)^2√12^2+(-5)^2√144+25√16913In circle A shown, secant DE and tangent DG are drawn. It ir know that m BAC = 63 and mBE = 96.
Answer:
Givens
[tex]m \angle BAC=63\°[/tex]
[tex]m(BE)=96\°[/tex]
[tex]DE[/tex] is secant.
[tex]DG[/tex] is tangent.
(A)Remember that the arc subtended by a central angle is equal to it. That means
[tex]m(BC)=m\angle BAC = 63\°[/tex]
(B)Now, by sum of arcs, we know
[tex]m(EBC)=m(EB)+m(BC)=96\° +63\°=159\°[/tex]
(C)By definition, the total arc of a circle is 360°, so
[tex]m(EFC)=360\°-m(EBC)=360\° - 159\°=201\°[/tex]
(D)We know that the external angle formed by a secant and a tanget is one half of the difference between the intercepted arcs, so
[tex]\angle D=\frac{1}{2}(m(EFC)-m(BC))=\frac{1}{2} (201\° - 63\°)=\frac{1}{2} (138\°)=69\°[/tex]
So, the angle D is 69°.
does anyone have the rest of the test? Surface Area and Volume Unit Test????
Answer:
B) 112 cm²; 336 cm²
Step-by-step explanation:
The lateral area would be without the bases. In this case, the bases are the top and the bottom
Lateral Area
(2)(2.54)(8) = 40.64
(2)(2.54)(14) = 71.12
Add together and get 111.76 cm²
Surface Area
LA + Bases
Bases
(2)(14)(8) = 224
Add with lateral area and get 335.76 cm²
What single transformation was applied to triangle A to get Triangle B?
Answer: can u help me with an equation then I will help you?
Step-by-step explanation:
Answer:
Dilation
Step-by-step explanation:
Dialation-A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
Please help me!!! -50 + 2a if a = 2.5 write the meaning of each algebraic expression then evaluate it for the given value I have no idea what this means please help
Answer:
-45
Step-by-step explanation:
I think it means that you just solve it.
Suppose a city with population 800 comma 000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in 17 years.
Answer: 1,833,615
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
A = 800,000 (1+ 5/100)^17
A = 1,833,615
Feel free to ask for more if needed or if you did not understand something.
HELP!!! I can't figure out what do do or how to solve the last part!!
Answer:
Use what you used for the first one and you should get the right answer.
Step-by-step explanation:
Clara bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly? Maya's work: StartFraction b Over 12 EndFraction = 16. B = 1.3 Larissa's work: 12 b = 16. B = 1.3 Sally's work: StartFraction b Over 12 EndFraction = 16. B = 192. Anika's work: StartFraction 12 Over b EndFraction = 16. B = 192.
9514 1404 393
Answer:
Sally's work: StartFraction b Over 12 EndFraction = 16. B = 192
Step-by-step explanation:
Of the offered choices, the only one that is solved correctly is Sally's work.
Here are the solutions for the equations the students wrote:
[tex]\dfrac{12}{b}=16\ \rightarrow\ 12=16b\ \rightarrow\ \dfrac{12}{16}=b=0.75\\\\\dfrac{b}{12}=16\ \rightarrow\ b=12\cdot16=192[/tex]
_____
Comment on the wrong answers
The "solution" value of 1.3 appears to be a rounded version of 16/12, a value that will not show up as a solution to any of the equations written.
Comment on dimensional analysis
The dimensions of "16" are "cases." The dimensions of "12" are "bottles per case", or bottles/case. Multiplying this by the number of cases, gives the number of bottles. This is where I'd start:
(bottles/case)×(cases) = bottles ⇒ 12×16 = b
The ratios the students wrote had units of ...
b/12 = (bottles)/(bottles/case) = cases = 16
and (incorrectly) ...
12/b = (bottles/case)/(bottles) = 1/cases = 16 . . . . wrong
It can be useful to consider what the numbers represent. That can help avoid math mistakes.
a bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly?
Maya’s work:
StartFraction b Over 12 EndFraction = 16. b = 1.3
Larissa’s work:
12 b = 16. b = 1.3
Sally’s work:
StartFraction b Over 12 EndFraction = 16. b = 192.
Anika’s work:
StartFraction 12 Over b EndFraction = 16. b = 192.
Step-by-step explanation:
Do most students walk, bike, or bus to school?
Most students to school.
If 100 students were surveyed, how many students
walk to school each day?
students
Answer:
Most students ride the bus since the pie chart section is biggest at the bus section.
23 people walking / 100 people is 23% and 23% of 100 is 23 people.
Step-by-step explanation:
Answer:
Do most students walk, bike, or bus to school?
Most students
✔ bus to school.
If 100 students were surveyed, how many students walk to school each day?
✔ 23 students
Step-by-step explanation: I just did it, it's 100% correct!
Find the area of the parrallelogram
Answer:
I believe it is about 47.63 meters squared
Leave a comment if you'd like a step-by-step explanation
TRUE or FALSE: In the quarter circle, the radius is 4 cm and the diameter is 8 cm.
Answer: False.
Step-by-step explanation:
There does not exist a "quarter circle" as a circle with a radius of 4 units, the only notable circle that does exist is the unit circle, that is the circle where the radius is equal to 1, represented by the equatin x^2 + y^2 = 1
The term "quarter circle" actually does refer to a fourth part of a circle, not to a circle of radius 4.
So the statement is false
The half-life of a drug is 4 hours. A patient has been taking the drug on a regular basis for a few months and then discontinues taking it. The concentration of the drug in a patient's system is 120 ng/mL when the patient stops taking the medication. Complete the table, rounded to the nearest tenth of a ng.
After 4 hours: 60 ng/mL, After 8 hours: 30 ng/mL, After 12 hours: 15 ng/mL, After 16 hours: 7.5 ng/mL.
The half-life of a drug is the time it takes for the concentration of the drug in the body to reduce by half. In this case, the half-life of the drug is 4 hours. When a patient discontinues taking the medication, the concentration of the drug decreases exponentially over time.
The initial concentration is given as 120 ng/mL. After the first 4 hours, which is one half-life, the concentration reduces to 60 ng/mL. Subsequent half-lives continue to halve the concentration. After 8 hours, it becomes 30 ng/mL, after 12 hours it's 15 ng/mL, after 16 hours it's 7.5 ng/mL.
This exponential decrease reflects the nature of drug elimination from the body, with each half-life reducing the concentration by half. The rounded values in the table represent the decreasing drug concentrations at different time intervals after the patient stops taking the medication.
PLEASE HELP I WILL MAKE BRAINLIST
What is the volume of a cylinder, in cubic m, with a height of 9m and a base diameter of 12m? Round to the nearest tenths place.
The requried volume of the cylinder is approximately 1017.9 cubic meters.
What is the volume of a cylinder?The volume of a cylinder can be calculated using the formula:
Volume = π * (diameter/2)² * height
where π (pi) is a mathematical constant approximately equal to 3.14159, diameter is the base diameter of the cylinder, and height is the height of the cylinder.
In this case, the height is 9m and the base diameter is 12m. We need to first calculate the radius, which is half of the diameter:
Radius = diameter/2 = 12m/2 = 6m
Now we can substitute the values into the formula and calculate the volume:
Volume = π * (6m)² * 9m
Volume ≈ 1017.88 cubic meters
Rounding to the nearest tenth place, the volume of the cylinder is approximately 1017.9 cubic meters.
Learn more about the volume of the cylinder here:
https://brainly.com/question/16134180
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Final answer:
The volume of a cylinder with a height of 9m and a base diameter of 12m is approximately 9160.9 cubic meters when rounded to the nearest tenth.
Explanation:
The student is asking for the volume of a cylinder with a given height and base diameter, which is a common problem in mathematics related to geometry and measurements. To find the volume, we use the formula for the volume of a cylinder V = πr²h, where V is the volume, r is the radius of the base, and h is the height of the cylinder. Given that the diameter is 12 meters, the radius (r) is half of that, which is 6 meters. We then substitute these values into the formula:
V = π(6m)²(9m)
V = 3.1416 × 36m² × 9m
V = 3.1416 × 324m² × 9m
V = π × 2916m³
V = 9160.88m³
After calculating, we round the volume to the nearest tenths place, obtaining V ≈ 9160.9m³.
In the circle below, F is the center, GI is a diameter, and m
Answer:uh look up a video?
Step-by-step explanation:
A grocery store has advertised a sale on ice cream. Each carton of any flavor of ice cream costs $3.79. a.) It is asking us to give an expression that represents the Millie's total of buying one carton of strawberry ice cream and one carton of chocolate ice cream. First, we will need variables to represent each flavor of ice cream Millie is will buy: S: represents Strawberry ice cream C: represents chocolate ice cream Now, let make our expression... We know that EACH cost of a carton of ice cream is $3.79. Expression: 3.79 (S + C) <—- answer for A b.) Give another way to write 3.79 (S + C) Hint: Distributive property c.) You used distributive property on b to find the equivalent expression.
Answer:
$7.58
Step-by-step explanation:
Think about it, (S+C), each flavor costs $3.97 per carton, and there's 2 cartons. $3.79 x 2 = $7.58
A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 10 degrees from perpendicular to the wall.
Answer:
43.17 ft/s
Step-by-step explanation:
Let the height of the wall is y.
distance of wall from light is 20 feet.
[tex]tan\theta =\frac{y}{20}[/tex]
y = 20 tanθ .... (1)
time period, T = 3 second
[tex]\frac{d\theta}{dt}=\frac{2\pi}{3}[/tex]
Differentiate equation (1) with respect to t.
[tex]\frac{dy}{dt}=20sec^{2}\theta\times \frac{d\theta}{dt}[/tex]
[tex]\frac{dy}{dt}=20sec^{2}10\times \frac{2\pi}{3}[/tex]
dy/dt = 20 x 2.16
dy/dt = 43.17 ft/s
Ella has a box of chocolate candies. She gives 1/3 of the candies to her sister, 4 to her brother, and eats the remaining 12 candies. How many chocolate candies were in the box originally?
Answer:
24 candies originally
Step-by-step explanation:
Add the 4 to how many you had left, then think about that number, 16, and what goes into 16 evenly 2 times? 8 and originally she gave away 1/3 of the box and if you were to add another 8 to the box it would be 24 divided by 1/3, -,-4,= 12.
Cameron pays $.95 per song with his current music service Cameron's friend tells him of another service that has a $15 joining fee charges $.80 per song at what number of songs does this new service become a less expensive option then Cameron's current service
Answer
Step-by-step explanation:The fine schedule for overdue books at the county library is modeled by the values in the table.
Library Fines for Overdue Books
Days overdue
Amount of fine
0
0 ¢
2
5 ¢
4
10 ¢
6
15 ¢
8
20 ¢
10
25 ¢
Which equation best models the fine schedule for overdue books?
y = five-halves x, where x is the cost in cents for a book that is y days overdue
y = five-halves x, where y is the cost in cents for a book that is x days overdue
y = 5 x, where x is the cost in cents for a book that is y days overdue
y = 5 x, where y is the cost in cents for a book that is x days overdue