The solid produced when the figure which is a semicircle is rotates around the x-axis is called a hemisphere with radius 3 units.
What is a hemisphereWhen the semicircle is rotated around the x-axis, it produces a three-dimensional solid known as a hemisphere. A hemisphere is a half-sphere and is a symmetrical solid. It is also classified as a rounded solid, meaning that it has a curved surface.
The hemisphere has a circular base that is formed by the semicircle that was initially rotated. The diameter of the base is equal to the width of the original semicircle which implies that the hemisphere has a radius of 3 units.
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This is my question!
Answer:
J
Step-by-step explanation:
mode = 56
mean = 37.4
median = 35
A bag of kale chips weighs 5.336 ounces. Round the weight of the bag to the nearest tenth of an ounce.
Answer:
5.3
Step-by-step explanation:
The tenth means the first decimal place. The second 3 shows us that we need to round down, so the answer is just 5.3
Answer:
The answer is 5.3
Step-by-step explanation:
Joey is flying his Cesna due Northwest at 188mph. Unfortunately, a wind traveling.
60mph due 150 bearing. Find Joey's actual Speed and direction.
Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.
Given that Joey's aircraft speed: 188 mph
Wind speed: 60 mph
Wind direction: 150 degrees (measured clockwise from due north)
We can consider the wind as a vector, which has both magnitude (speed) and direction.
The wind vector can be represented as follows:
Wind vector = 60 mph at 150 degrees
We convert the wind direction from degrees to a compass bearing.
Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.
Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)
Wind vector = 60 mph at 210 degrees
To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.
Converting the wind vector into its x and y components:
Wind vector (x component) = 60 mph × cos(210 degrees)
= -48.98 mph (negative because it opposes the aircraft's motion)
Wind vector (y component) = 60 mph×sin(210 degrees)
= -31.18 mph (negative because it opposes the aircraft's motion)
Now, we can add the x and y components of the two vectors to find the resulting velocity vector:
Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph
Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph
Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)
= 143.59 mph
Direction = arctan((-31.18 mph) / 139.02 mph)
= -12.80 degrees
The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.
The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.
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solve for x and y, show your work with your answer.
Answer and Step-by-step explanation:
This problem involves the use of trigonometric functions.
First, we will use the tangent trig function, and then the sine trig function.
\(tan(32) = \frac{x}{15}\)
We solve for x by multiplying both sides by 15.
15(tan(32)) = x
Put this into a calculator and solve.
x = 9.373
Now, we solve for y.
\(sin(32) = \frac{9.373}{y}\)
We multiply by y on both sides first.
y(sin(32)) = 9.373
Now, we divide each side by sin(32).
\(y = \frac{9.373}{sin(32)}\)
Put this into a calculator and solve.
y = 17.6877
x = 9.373
y = 17.6877
These are your answers.
#teamtrees #WAP (Water And Plant)
the length of a cll is 2/3 mm. if the area of the cell is 1/12 square mm, what is the width of the cell
The width of a cell with the length (l) of the cell is \(\frac{2}{3}\) mm and area (A) of the cell is \(\frac{1}{12}\) mm² is \(\frac{1}{8}\).
Given that, the length (l) of the cell is \(\frac{2}{3}\) mm and area (A) of the cell is \(\frac{1}{12}\) mm².
We need to find the width of the cell.
What is the area of a rectangle?The area of a rectangle is the product of its length and width. So, the area of the rectangle = Length×Width square units.
Now, the area of a cell = \(\frac{2}{3}\) ×Width= \(\frac{1}{2}\) mm².
⇒Width=\(\frac{\frac{1}{12} }{\frac{2}{3} } ={\frac{1}{12} \times {\frac{3}{2}=\frac{1}{8}\)
Therefore, the width of a cell with the length (l) of the cell is \(\frac{2}{3}\) mm and area (A) of the cell is \(\frac{1}{12}\) mm² is \(\frac{1}{8}\).
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A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket
which property allows u to complete the question
\(\huge\pink{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ distributive \: property \\ \\ \\ \\ \\ \\ \huge\pink{mark \: as \: brainliest}\)
distributive property
Plz helpp!!! Very crucial!!!
A shed has dimensions of 12m in length and 5 m in width. Both the length and
width are increased by the same amount in order to increase the floor area by
more than double the original area. What is the amount of the increase in length?
Answer:
Length = 24
Step-by-step explanation:
It says, " Both the length and width are increased by the same amount..." this means that both 12m and 5m were increased. So 12 + 12 = 24 and 5 + 5 = 10.
lol Looks like someone has the same math assignment as me
Peter lives in San Mateo. He bought an item for $528.9 and when the clerk calculated the sales tax it came out to exactly $55.67387. Round the sales tax to the nearest
Answer:
It will be 560.00 because when you round up the 6 it it will be 560.00
Step-by-step explanation:
“Use the distributive property:3(x – 4)” can someone help me please
There is a property called "Distributive property" which states that:
\(\begin{gathered} a(b+c)=ab+ac \\ a(b-c)=ab-ac \end{gathered}\)You can notice that terms inside the parentheses must be multiplicated by the value located outside the parentheses.
In this case, you have the following expression:
\(3\mleft(x-4\mright)\)So you need to multiply the terms inside the parentheses by 3, in order to simplify the expression using the Distributive property. You get that this is:
\(3\mleft(x-4\mright)=(3)(x)-(3)(4)=3x-12\)How does the way that a search engine gets and organizes information help you understand why Googling alone is not enough?
Answer:
A search engine organizes information by several different criteria. The number of visits that a site gets will bring it toward the top of the feed. So will more credited websites. Websites that have paid ads are pushed to the top. Googling may not be enough alone because you see what the engine brings to the top. It takes digging to fine other information.
Step-by-step explanation:
Solve the following equation.
(√x -7) (√x -2)= -18
Answer:NO SOLUTION
Step-by-step explanation:
Can you guys pls give me the right answer❤️
Answer:
C 5/8Step-by-step explanation:
1)An octagon can be divided into 8 congruent triangles with base angles that are 67.5°. This octagon has a side length that is 8 cm.
2)What is the area of each triangle?
3)What is the area of the octagon?
4) Use your work from above to derive a generic formula for any octagon with side length that is n units.
Answer:
(a) \(Area = 14.7824cm^2\)
(b) \(Area = 118.2592cm^2\)
(c) \(Area = 4nh\)
Step-by-step explanation:
Given
\(\theta = 67.5\)
\(b= 8cm\) --- base
\(n = 8\) --- triangles
Solving (a) The area of each triangle
First, calculate the height (h) of each triangle using:
\(\sin(67.5) = \frac{h}{b/2}\) --- i.e. we consider half of the triangle
\(\sin(67.5) = \frac{h}{8/2}\)
\(\sin(67.5) = \frac{h}{4}\)
Solve for h
\(h =4*\sin(67.5)\)
\(h =4*0.9239\)
\(h =3.6956\)
The area of each triangle is:
\(Area = \frac{1}{2} *b * h\)
\(Area = \frac{1}{2} *3.6956 * 8\)
\(Area = 14.7824cm^2\)
Solving (b): Area of the octagon
This is calculated as:
Area = 8 * area of 1 triangle
\(Area = 8 * 14.7824cm^2\)
\(Area = 118.2592cm^2\)
Solving (c): Area of octagon of side length n
In (a), we have:
\(Area = \frac{1}{2} *b * h\)
Replace b with n
\(Area = \frac{1}{2} *n * h\)
Multiply by 8 (the sides) to get the area of the octagon
\(Area = 8 * \frac{1}{2} *n * h\)
\(Area = 4nh\)
Solve x2 – 4 = 5 by graphing the related function.
Answer:
±3
Step-by-step explanation:
I attached a photo it. hope this helps.
Answer:
\(x2 - 4 = 5 \\ x \times 2 = 5 + 4 \\ \frac{2x}{2} = \frac{9}{2} \\ x = 4 \frac{1}{2} \\ x = 4.5\)
f(x)=2x + 2
g(x)= x – 5
Find f(x) + g(x)
I need help understanding how to do a problem like this
Thank you
Answer:
3x - 3
Step-by-step explanation:
f(x) + g(x)
(2x + 2) + (x - 5)
3x - 3
15/45 turned into a decimal
15/16 turned into a decimal
1/8 turned into a decimal
.875 turned into a fraction
.4375 turned into a fraction
.625 turned into a fraction
.03 turned into a fraction
40% turned into a fraction
Answer:
0.33333333
0.9375
0.125
7/8
7/16
5/8
3/100
4/10 or 40/100
Step-by-step explanation:
For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6!= 6.5.4.3. 2. 1.) What value of N satisfies the following equation? 5!.9!= 12. N! (A)10 (B)11 (C)12 (D)13 (E)14
The value of N that satisfies the following equation, 5!9!= 12N!, is 10.
Factorial notation (n!) means to multiply a series of descending natural numbers. Also stated in the problem that for positive integer n, the factorial notation n! represents the product of the integers from n to 1.
Take for example 6! which can be written as 6 x 5 x 4 x 3 x 2 x 1 = 720.
Given the equation 5!9!= 12N!, expand the factorial notation.
(5 x 4 x 3 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = (4 x 3) N!
N! = (5 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
N! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
N = 10
Therefore, the value of N that satisfies the following equation, 5!9!= 12N!, is 10.
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Edgar's friends like the way he makes slime. He can make 5 different batches of slime an hour. Write an equation to model this situation.
5 slimes an hour is 1 slime every 20 minutes.
1 Slime: 20 Minutes
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete the table to show the distance traveled in 1 minute at this speed
Answer:
4 miles in 1 min
Step-by-step explanation:
pls simplify these two problems:
Answer:
Step-by-step explanation:
1 )
\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)
2 )
\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)
Which equation is equivalent to 7 + 3 ( x+4 ) = 10 x -2
Answer:
X=3
Step-by-step explanation:
First, the 3 spread to the x and the 4 because of distribution property. Then, 3x is moved to the right, and the left turns into 19. The X's turn into 7x, and the -2 is moved to the left which makes it positive. The equation is simplified to 21=7x which means that x=3.
Hope this helps!
help me guys ASAP!!!
Hi,
Which inequality matches the graph?
x ≥ 2
✅(•‿•)
Which number doesn't share the same pattern as
2,20, 4,8,300
Can somebody help ill give you brainliest!!! and 20 points
Answer:
Genotype: 100% rr
phenotype: 100% white
Step-by-step explanation:
since there are no dominant genes the cross will definitely be a rr genotype
The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
4x+12y+4z=-16
12x-12y+8z=8
4x+12y-4z=0
x = 1, y = -1 and z = -2.
Here, we are given 3 equations-
4x+12y+4z = -16 ...(1)
12x-12y+8z = 8 ...(2)
4x+12y-4z = 0 ...(3)
Firstly, we add equations 1 and 2, we get,
4x + 12y + 4z + 12x - 12y + 8z = -16 + 8
16x + 12z = -8
4x + 3z = -2 ...(4)
Adding 2 and 3, we get,
12x - 12y + 8z + 4x + 12y - 4z = 8
16x + 4z = 8
4x + z = 2 ...(5)
Now, subtracting equation 4 from 5, we get-
4x + z - 4x - 3z = 2 + 2
-2z = 4
z = 4/-2
z = -2
Thus, 4x - 2 = 2
4x = 4
x = 4/4
x = 1
and 4(1) + 12y + 4(-2) = -16
4 + 12y -8 = -16
12y = -16 + 4
12y = -12
y = -12/12
y = -1
Thus, x = 1, y = -1 and z = -2.
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(6x + 7) - (-9x - 9)
Answer:
-3x+16
Step-by-step explanation:
(6x+7)-(9x-9)
Collect like terms
6x-9x = -3x
7+9= 16
answer is -3x+16
Answer:
15x + 16
Explanation:
Basically whatever you are solving for in this question, the answer will be the exact same
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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