Answer:
A rotation of 72 degrees will map one blade of ceiling fan to its adjacent blade.
Step-by-step explanation:
We are told that a ceiling fan has 5 equally spaced blades. It will work as a regular pentagon.
We can find angle of rotation to map one blade on adjacent blade dividing 360 by 5 as sum of angles of regular pentagon equals to 360 degrees.
[tex]\text{ Angle of rotation}=\frac{360}{5}[/tex]
Upon dividing 360 by 5 we will get,
[tex]\frac{360}{5} =72[/tex]
Therefore, a rotation of 72 degrees will map one blade of ceiling fan to its adjacent blade.
The angle between adjacent blades in a five-blade ceiling fan is b. 72°.
Step 1 :**Understanding the Situation**:
We have a ceiling fan with five equally spaced blades. We need to find the angle of rotation that maps one blade onto the adjacent blade.
Step 2 :**Identifying the Angle between Blades**: Since the blades are equally spaced, we can find the angle between adjacent blades by dividing the full circle (360°) by the number of blades, which is 5.
[tex]\[ \text{Angle between adjacent blades} = \frac{360°}{5} = 72° \][/tex]
Step 3 :**Checking the Options**:
- (a) 144° is twice the angle between adjacent blades. This would correspond to skipping one blade and landing on the third blade, which is not adjacent.
- (b) 72° is the same as the angle between adjacent blades. This seems promising.
- (c) 90° is not consistent with the division of the circle by the number of blades.
- (d) 36° is half the angle between adjacent blades. This would correspond to a situation where we skip two blades, which is not adjacent.
Complete Question :
Ceiling fan has five equally spaced blades. Find the angle of rotation that maps one blade onto the adjacent blad a 144° b 72° c 90° d 36°
A prism's volume is given by the expression
6k2 – 13k + 5. The area of the base of the
prism is 2k – 1.
Which expression represents the height of the prism?
k + 4
3k – 5
3k – 8 +
4k – 7 –
The volume of any prisma no matter wich one side it have got the following formula:
V=Ab*h where Ab is the base area and h is called height.
From our data we know the volume (6k^2-13K+5) and we know the base area (2k-1). Inserting this data in the general formula we got:
6k^2-13K+5=(2k-1)*h, solving for our unknown variable the height h
h=6k^2-13K+5/2k-1
factoring numerator :
h=(3k-5)(2k-1)/2k-1 simplifying
h=3k-5
The answer is 3k-5
Remark
The Volume = B * h
V = 6k^2 - 13k + 5
B = 2k - 1
h = ??
The volume will factor into (2k - 1)(3k - 5)
You can tell that one of the factors is 2k - 1 because that is the given amount for the base. You need only find the other factor. 3k is needed to multiply 2k to 6k^2.
- 1 needs - 5 to get the answer to 5
So the other factor is 3k - 5
Solution
V/b = h
(6k^2 - 13k + 5)/(2k - 1)
(3k - 5)(2k - 1) / (2k - 1) The (2k - 1)s Cancel out
Answer
B = 3k - 5 Second one down.
If the radius of a circle is 3cm wht is the area of the circle
Area = 9π cm².
Decimal approximation ⇒ 28.26 cm².
Work is provided in the image attached.
The relationship between the set of points in a plane equidistant from point A
A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. We use the symbol ⊙ to represent a circle. The a line segment from the center of the circle to any point on the circle is a radius of the circle
In mathematics, the relationship between the set of points in a plane equidistant from a point is represented by a circle.
In mathematics, the relationship between the set of points in a plane equidistant from a point is represented by a circle.
A circle is defined as the set of all points that are the same distance, called the radius, from a given point, called the center.
For example, if point A is located at (2, 3) and the radius of the circle is 5 units, the equation of the circle would be (x - 2)² + (y - 3)² = 5².
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A farmer has a 420 acre farm. He planted 7/12 of it with corn, but later found that 3/14 of the crop was diseases. How many acres of healthy corn did the farmer have
Answer:
192.5 acres.
Step-by-step explanation:
Total area of farm the farmer had = 420 acre.
Of these he did not plant full but only 7/12th of the total acres.
Planted area with corn = 7/12(420) = 245 acres
Of these 245 acres, 3/14th was affected by crop and the remaining part would be healthy
crop affected by disease = 3/14 (245) = 52.5 acres
Hence healthy corns = area planted for corn-diseased part of area
=245-52.5
= 192.5 acres
Math written response questions, please help :( thank you
Use Pythagorean Theorem (a² + b² = c²) to find the lengths of the sides. You can also use the distance formula.
6² + 14² = d²
36 + 196 = d²
232 = d²
15.23 ≅ d
2² + 5² = d²
4 + 25 = d²
29 = d²
5.39 ≅ d
Next, use the Perimeter formula:
P = 2L + 2w
= 2(15.23) + 2(5.39)
= 30.46 + 10.78
= 41.24
For #6, Use the Area formula:
A = L x w
= 5.39 x 41.24
= 222.28
3y^2/9y^4 state restrictions and simplify
Step 1. Take out the constants
3/9 y^2y^4
Step 2. Simplify 3/9 to 1/3
1/3 y^2y^4
Step 3. Simplify
y^2y^4/3
Step 4. Use the Product Rule
y^2 + 4/3
Step 5. Simplify 2 + 4 to 6
y^6/3
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELPA ME
OMG NO I WANT TO HELPA YOU BUT I HAVE NO CLUE HOW
i do to but i'm not good with stuff on paper
Determine the measure of the unknown labeled angles in the diagram above
−(7y+0.6)=3.6−y
PLEASE ANSWER QUICKLY
Answer:
y=-0.7
Step-by-step explanation:
−(7y+0.6)=3.6−y
-7y+-0.6=3.6−y
-6y+-0.6=3.6
-6y=4.2
y=-0.7
The cost of driving a car includes both fixed costs and mileage cost. Assume that a costs $176.10 per month for insurance and car payments and $0.25 per mile for gasoline, oil, and routine maintenance.
$176.10 per month for insurance and car payments and $0.25 per mile for gasoline, oil, and routine maintenance.
(a) find values for m and b so that y=mx+b Modells the monthly cost of driving the car X miles
(B) what does the value of b represents ?
Y=.25x+176.10 Y is the monthly cost and B would be the cost of the insurance every month. X is the amount of miles driven since the .25 stays constant but the amount of miles you drive in a month is different every month, Hence, needs to be a variable that can be adjusted,
A - The value of b, $176.10, represents the fixed costs like insurance and car payments, which remain constant regardless of the number of miles driven. B - It serves as the baseline monthly cost for driving the car.
(a) To model the monthly cost of driving the car (y) in terms of the number of miles driven (x), you can use the equation y = mx + b, where:
y represents the monthly cost of driving the car.
x represents the number of miles driven.
m represents the cost per mile for gasoline, oil, and routine maintenance, which is $0.25 in this case.
b represents the fixed costs, including insurance and car payments, which are $176.10 per month.
So, the values for m and b in this scenario are:
m = 0.25 (the cost per mile)
b = 176.10 (the fixed monthly costs)
Therefore, the equation to model the monthly cost of driving the car is:
y = 0.25x + 176.10
(b) The value of b, which is 176.10 in this equation, represents the fixed costs associated with driving the car. In this case, it includes the monthly insurance and car payment expenses. These are costs that do not depend on how many miles you drive.
Instead, they remain constant every month. So, b represents the baseline or starting point for the monthly cost of driving the car. Even if you were to drive zero miles in a month, you would still have to pay these fixed costs.
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Hanna walks 1 2/3 miles to school. After school she walks 1 1/2 mikes to work. How many miles does she walk before and after school?
Hanna walks a total of 3 1/6 miles before and after school.
To find how many miles Hanna walks before and after school, we can add the distances she walks to school and to work.
Distance to school = 1 2/3 miles
Distance to work = 1 1/2 miles
To find the total distance Hanna walks before and after school, add the two distances:
Total distance = 1 2/3 + 1 1/2
To add these fractions, we need to convert them to have a common denominator, which is 6:
1 2/3 = (3/3 + 2/3) = 5/3
1 1/2 = (3/2)
Now, we can add the fractions:
Total distance = 5/3 + 3/2
To add these fractions, we need to have a common denominator, which is 6:
Total distance = (5/3) * (2/2) + (3/2) * (3/3)
Total distance = 10/6 + 9/6
Now, add the fractions:
Total distance = 19/6
We can simplify this fraction:
Total distance = 3 1/6 miles
So, Hanna walks a total of 3 1/6 miles before and after school.
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What does a represent?
A.foci
B. Minor axis
C. Major axis
S. Vertices.
Find f if f(x)=23; 23= x²+7
Combine like terms to simplify the expression. 5x + 4 + 2x + 5
7x+9
5x+2x= 7x
5+4=9
7x + 9 is the result when combining like terms.
Answer:
7x+9
Step-by-step explanation:
Add the numbers
5x + 4 + 2x + 5
5x+9+2x
Combine like terms
5x+9+2x
7x+9
Solution:
7x+9
value of 3x^2 +4y^2 if x=2, y=1, and z= -3
[tex]3x^2+4y^2\\\\\text{Put the values of x=2, y=1 and z=-3 to the expression:}\\\\3(2^2)+4(1^2)=3(4)+4(1)=12+4=16[/tex]
Substituting the provided values of x and y into the equation 3x^2 +4y^2 gives a final result of 16.
Explanation:The question is asking for the value of the mathematical expression 3x^2 +4y^2 when x is 2 and y is 1. To find this, we substitute the values of x and y into the expression.
Substitute x = 2 into the equation: 3*(2)^2 = 3*4 = 12 Substitute y = 1 into the equation: 4*(1)^2 = 4*1 = 4 Add the results: 12 + 4 = 16
Therefore, the value of 3x^2 +4y^2 when x=2 and y=1 is 16.
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Can some one help me plz??
Find the original price of a pair of shoes if the sale price is $45 after a 25% discount
$60
$45 is 75% of the original price. 75/3 is 25, so divide 45/3=15. $15 is 1/4 of the original price. 15*4=60
The original price of the pair of shoes is $60.
To find the original price of a pair of shoes, we can use the given information that the sale price is $45 after a 25% discount.
Let's assume the original price of the shoes is "x" dollars.
The discount of 25% means that the sale price is equal to 75% (100% - 25%) of the original price.
Mathematically, we can express this as:
Sale price = Original price * (Discount percentage in decimal form)
$45 = x * (0.75)
To find the original price (x), we divide both sides of the equation by 0.75:
$45 / 0.75 = x
x = $60
Therefore, the original price of the pair of shoes is $60.
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Solve this linear system by graphing
x-y=6
2x=12+2y
To solve the linear system by graphing, convert the equations to slope-intercept form, plot the lines, and find the point of intersection.
Explanation:To solve the given linear system by graphing, we need to graph both equations on the same coordinate plane and find the point of intersection.
Step 1: Convert both equations into slope-intercept form, y = mx + b.
Step 2: Plot the y-intercepts (b values) of both equations and use the slopes (m values) to draw the lines.
Step 3: The point where the lines intersect is the solution to the system of equations. In this case, the solution is x = 6 and y = 0.
Please help. I will reward brainly
Positive, 72 minus negative 9 is the same thing as 72+9, which equals 81. So the answer is positive
School severed 50 lunches and how many lunches severed in 3 days
Answer:
150
Step-by-step explanation:
50 lunches each day.
3 days in total that 50 lunches were severed.
50 x 3 = 150
50 + 50 + 50 = 150
a pet boarder keeps a dog to go cat ratio of 5:2 . if the boarder has room for 98 animals then how many of them can be dogs
For every 7 animals, you have 5 dogs to 2 cats. So divide 98 by 7 and you get 14 groups of 7.
Multiple 14 times 5 dogs and you get 70
Multiple 14 times 2 cats and you get 28
70 + 28 = 98.
The perimeter of a square is 3 4/5 meters.what is the area?
3 4/5 = 4l
A = l^2
Divide 3 4/5 by 4.
l = 0.95
0.95^2 = 0.9025
The area of the square is 0.9025 meters.
To find the area of a square with a perimeter of 3 4/5 meters, we first convert the perimeter to an improper fraction, divide by 4 to find the length of one side, and then square this length to get the area, resulting in 361/400 square meters.
Explanation:The question is asking us to find the area of a square when the perimeter is given as 3 4/5 meters. First, we convert the mixed number to an improper fraction which is (3 × 5 + 4)/5 = 19/5 meters. Since the perimeter of a square is the sum of all its sides (P = 4a), we can find the length of one side (a) by dividing the perimeter by 4.
a = P / 4 = (19/5) / 4 = 19/20 meters.
Now that we have the length of a side, we can find the area by squaring this length:
Area = a · a = (19/20) · (19/20) = 361/400 square meters.
Therefore, the area of the square is 361/400 square meters.
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212x−34(2x+5)=38
which one
a) x=−458
b) x=−338
c) x=418
d) x=538
Answer:
c
Step-by-step explanation:
A bottle Holds 96 fluid of lemonade how much is it in pints?
96÷16(oz in a pint)= 6
Domain of the function of a graph with coordinates (-3,-2)
Answer:
Domain is -3
Step-by-step explanation:
Given that coordinate of a graph is (-3, -2)
We have to find out the domain.
We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.
Domain is the set of values of A which have images in B.
Use the above definition.
We have A = {-3,...} and B = {-2,....}
The mapping is from -3 to -2
Hence domain is -3
paralell to y=4x-6 through (12,10)
ANSWER
The line that is parallel to [tex]y=4x-6[/tex] through [tex](12,10)[/tex] is [tex]y=2x-14[/tex].
EXPLANATION
The equation that is parallel to the line [tex]y=4x-6[/tex] has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
[tex]y=mx+c[/tex],this line has slope [tex]m=2[/tex].
Hence the line parallel to this line also has slope [tex]m=2[/tex].
Let [tex]y=mx+b[/tex] be the equation of the line parallel to the line
[tex]y=4x-6[/tex]
We can substitute [tex]m=2[/tex] to obtain;
[tex]y=2x+b[/tex]
If the line passes through the point [tex](12,10)[/tex],then this point must satisfy its equation.
We substitute [tex]x=12[/tex] and [tex]y=10[/tex] to obtain;
[tex]10=2(12)+b[/tex]
We this equation for [tex]b[/tex].
[tex]\Rightarrow 10=24+b[/tex]
[tex]\Rightarrow 10-24=b[/tex]
[tex]\Rightarrow -14=b[/tex]
We substitute this value of [tex]b=-14[/tex] in to [tex]y=2x+b[/tex] to get;
[tex]y=2x+-14[/tex].
Hence the equation of the line that is parallel to [tex]y=4x-6[/tex] through [tex](12,10)[/tex] is [tex]y=2x-14[/tex].
stacey buys 6 pounds of chicken for $39. How much will she pay for 11 more pounds of chicken.
So she pays 6 lb of chicken for $39 then $39/6 = $6.30 is the price per pound.
11lb + 6lb = 17lb total of chicken then multiply it by the price per pound
17($6.50) = $110.50
Final answer:
Stacey will pay $71.50 for 11 more pounds of chicken.
Explanation:
To figure out how much Stacey will pay for 11 more pounds of chicken, we can use the given information that she bought 6 pounds of chicken for $39.
First, we need to find the cost of chicken per pound. To do this, we divide the total cost of chicken ($39) by the number of pounds (6). So, $39 / 6 = $6.50 per pound.Next, we can calculate the cost of 11 more pounds of chicken by multiplying the cost per pound ($6.50) by the number of pounds (11). So, $6.50 * 11 = $71.50.Therefore, Stacey will pay $71.50 for 11 more pounds of chicken.
How do I solve for y?
First we know that,
3x+15=5x-65 because of vertical angle thr.
y=y because of reflex property
there are 360 degrees in a circle so..
3x+15+5x-65+2y=360
3x+15=5x-65
x=40
so each 2 of the angles are...(40*3+15)=135
Then your new equation is
135+135+2y=360
2y=90
y=45
Hope this helps :)
I really need some help so please help me!!!
I'll mark brainliest for the best answer please!!!
here is the options
2.50
20
the daily profit of the taxi cab driver
the initial fee before any miles are traveled
3
the cost per mile traveled
q-r=r, for r formula for the variable