Answer:
It does not matter which color you add first because either way you will end up with the same color, purple. We can relate this to the commutative property of addition because blue + red = red + blue.
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A company is making a new label for one of their containers. The container is a cylinder that is 9 inches tall and 5 inches in diameter. What is the area of the label that needs to be printed to go around the new container? Use π = 3.14.
Answer:
180.55 in².
Step-by-step explanation:
Data obtained from the question include the following:
Height (h) = 9 in.
Diameter (d) = 5 in
Pi (π) = 3.14
Area of the label =..?
Next, we shall determine the radius.
Diameter (d) = 5 in
Radius (r) =.. ?
Radius (r) = Diameter (d) /2
r = d/2
r = 5/2
r = 2.5 in.
Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.
This is illustrated below:
Height (h) = 9 in.
Pi (π) = 3.14
Radius (r) = 2.5 in.
Surface Area (SA) =.?
SA = 2πrh + 2πr²
SA = (2×3.14×2.5×9) + (2×3.14×2.5²)
SA = 141.3 + 39.25
SA = 180.55 in²
The surface area of the cylinder is 180.55 in².
Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².
Answer:
Step-by-step explanation:
i dont have the work but the answer is 182.6
write an equation of the perpendicular bisector of the segment joining a(-2,3) and b(4,-5).
A) 3x+4y=7 B) 3x-4y=-7 C) 3x-4y=7 D) -3x-4y=7 E) 4x-3y=7
Answer:
C) 3x - 4y = 7
Step-by-step explanation:
The midpoint of AB is
M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)
Line AB has slope:
(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3
Slopes of perpendicular lines are negative reciprocals.
A perpendicular to line AB has slope 3/4.
The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.
[tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]
[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]
[tex] 4y + 4 = 3(x - 1) [/tex]
[tex]4y + 4 = 3x - 3[/tex]
[tex]3x - 4y = 7[/tex]
Answer:
C
Step-by-step explanation:
Segment joining a and b
m = 8/(-6) =-4/3
For that of the perpendicular bisector...
m = 3/4
Midpoint of Segment joining a and b
([-2+4]/2 , [3-5]/2)
=(1, -1)
y=mx+c
-1=(3/4)(1)+c
c= -7/4
y=3x/4 - 7/4
4y=3x - 7
3x-4y = 7
A coin is tossed. What is the theoretical probability of the coin NOT showing tails?
P(Not tails) =
Answer:
50%
Step-by-step explanation:
its 50% it will land on head and 50% it will land on tails since there is only two sides on a coin
Answer:
1/2 or .5
p(1/2)
Step-by-step explanation:
its simple, there are 2 sides to a coin, so there are 2 possible outcomes. and the question asks what is the probability of the coin landing on one or in other wrds, its asking what is te probilitity of one of the two heads to be up. SO the probility is 1/2
Find the domain of the function y = 5∕3 tan(3∕4x).
A) All real numbers except odd integer multiples of 2π∕3
B) All real numbers except odd integer multiples of 4π∕3
C) All real numbers except 0 and odd integer multiples of 2π∕3
D) All real numbers except 0 and odd integer multiples of 4π∕3
Answer:
A
Step-by-step explanation:
tan(3x/4)=sin(3x/4)/cos(3x/4)
So the domain of tah(3x/4) is all real numbers except real numbers that make cos(3x/4)=0.
cos(pi/2 +n pi)=0
So we need to solve 3x/4=pi/2+n pi
Multiply both sides by 4/3: x=4/3(pi/2+n pi)
Distribute: x=2pi/3+4n pi/3
Or x=(2pi+4 n pi)/3
Or x=2 pi/3 ×(1+2n)
So odd integer multiples of 2pi/3 is the numbers to be excluded from the domain.
The required domain of the function y = 5/3 tan(3/4x) is (-∞, ∞) - {- 2/3 (2n + 1)π, 2/3 (2n + 1)π}.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
y = 5/3 tan(3/4x)
Function tan defined at every x except x = nπ/2 where n = odd number. i.e x = (-∞,∞) - {(2n+1) * π/2, -(2n+1) * π/2}
3/4 * x = (2n + 1 ) * π/2
x = (2n + 1) * 4/3* π/2
x = 2/3 (2n + 1)π
So the required domain for the given function y = 5/36tan(3/4)x is given as,
Domain (x) = (-∞, ∞) - {- 2/3 (2n + 1)π, 2/3 (2n + 1)π}.
Thus, the required domain of the function y = 5/3 tan(3/4x) is (-∞, ∞) - {- 2/3 (2n + 1)π, 2/3 (2n + 1)π}.
Learn more about trigonometry equations here:
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Write each fraction as a decimal and a percent. A) 7/8 B) 9/75 C/ 120/75
Answer:
A) 0.875, 87.5%
B) 0.12, 12%
C) 1.6, 160%
Step-by-step explanation:
Answer:
A) 0.875, 87.5%
B) 0.001, 0.1%
C) 1.6, 160%
Step-by-step explanation:
I honestly just used a calculator, but it could also be solved using the butterfly technique. For percentages just move the decimal to the left two places.
If BH = 66, find DE. Round your answer to two decimal places if necessary.
Answer:
BH= 66
DE= ...?
We know that
BH is 1 to 6 = 66
DE is only take one space of that--> 3 to 4
so 66/6 = 11
1 space = 11 = DE
Hope it helps ^_^
A dress shop bought material for £4.65 a metre and sold it for £6.90 a metre. How much
profit would be made on a roll of 30 metres?
Answer:
£67.50
Step-by-step explanation:
On each metre of material, the shop makes a profit of ...
£6.90 -4.65 = £2.25
So, for 30 metres, the profit will total ...
30 × £2.25 = £67.50
A profit of £67.50 would be made on a 30-metre roll of material.
x + y = 0
y = 2x + 6
8
Now graph y = 2x + 6 What are the graphing points (there needs to be 3 pairs)
Answer:
(-3,6) (1,8) (2,10) and so on.
How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT)
15552|2
7776|2
3888|2
1944|2
972|2
486|2
243|3
81|3
27|3
9|3
3|3
1
[tex]15552=2^6\cdot 3^5=(2^3\cdot3^2)^2\cdot 3[/tex]
[tex](3+1)\cdot(2+1)=4\cdot 3=12[/tex]
It's 12
Is 8.888... a rational number?
=================================================
Explanation:
Since the decimal repeats itself infinitely (the 8s go on forever), this is one sign that we have a rational number.
Rational numbers always have some kind of infinitely repeating pattern when we convert them to decimal form.
---------------------
Extra info (optional section)
If you want to determine what this number is equal to, then let's say that
x = 8.8888...
Multiplying both sides by 10 gets us
10x = 88.888....
Now we'll subtract the two equations
The 10x-x becomes 9x while the 88.8888...-8.8888... turns into 80
We're left with 9x = 80 which solves to x = 80/9
Therefore, 80/9 = 8.8888.... showing that we have a rational number
Any rational number is basically a fraction of two whole numbers.
One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
PLS HELP
Answer:
16
Step-by-step explanation:
First use the Pythagorean theorem a^2+b^2=c^2.
12^2+b^2=20^2. Solve the exponents: 144+b^2=400. Then, subtract the 144 from 400. That would be 256. Therefore b^2=256. Then you find the square root of 256=16.
Step-by-step explanation:
using pythogoras theory
hyp^2=opp^2+adj^2
you have been given the hyp and the opp so lets make the unknown x
20^2=12^2+x^2
400 =144+x^2
make x the subject of the formula
400-144=x^2
266=x^2
x=the square root of 266
Pine Lane Middle School's student council has 10 seventh graders and 8 eighth graders serving as representatives. A subcommittee containing 3 seventh graders and 3 eighth graders is formed to organize a student dance. How many different subcommittees can be formed
Hey there! I'm happy to help!
When dealing with picking things and finding the number of possibilities, we can be dealing with two different types of things: permutations or combinations. We use permutations when order is important to the groups and we use combinations if order is not important.
It appears here that order is not important here as the subcommittee doesn't have to be in a specific order, so we will be using combinations.
So, we have ten seventh graders to choose from. Then we will have 9, and then 8. So, we multiply these numbers of choices.
10×9×8=720
Now, we need to divide by 6. This is to show that order doesn't matter. Why? Because there are 6 possible ways to organize 3 seats on the committee (3×2×1), and we want to divide out all of the different orders so it is just the specific group of people and not their different organizations that are counted.
720/6=120
Now, we need to find this with the eighth graders.
8×7×6=336
And we divide by the number of seats factorial (3 seats for the eighth graders, so 3×2×1=6 again)
336/6=56
Now, we multiply our numbers for seventh and eighth graders to find all off the possibilities.
120×56=6720
So, there are 6720 subcommittees possible.
Have a wonderful day and keep on learning! :D
please help! need the answers in order to move on:) will give brainliest to correct answer!
Simplify (1 − cos x)(1 + cos x).
Answer:
Sin^2 x
Step-by-step explanation:
● (1-cos x) (1 + cos x)
● 1^2 - cos^2 x
● 1 - cos^2 x
We khow that 1 = sin^2 x + cos^2 x
● [ sin^2 x + cos^2 x] - cos^2 x
● sin^2 x + cos^2 x - cos^2x
● sin^2 x
help help help
From the top of a lighthouse was 60 m above sea level. A ship located 1200 m
from the shore could spot the lighthouse. What was the angle of depression from
the top of the lighthouse to the ship?
Answer:
I think 60 - 1200 but i am not conform
The angle of depression from the top of the lighthouse to the ship is 0.04998 radians.
Given that, the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could spot the lighthouse.
We need to find the angle of depression from the top of the lighthouse to the ship.
What is the angle of depression?The angle is formed by the line of sight and the horizontal plane for an object below the horizontal.
Now, sin b=60/1200
⇒sin b=1/20
⇒sin b=0.05
⇒b=0.04998 radians
Now, b=x=0.04998 radians
Therefore, the angle of depression from the top of the lighthouse to the ship is 0.04998 radians.
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Help me pls!
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure
Answer:
Smaller figure: 1/3
Larger figure: 3
Answer:
1:3
Step-by-step explanation:
divided the sides
8/24 = 1/3 = 1:3
If f(x)= 5x + 4
find
the inverse of f(x)
Answer:
f(x)=y
5x+4=y
5x=y-4
x=y-4/5
inverse of x=(x-4)/5
Find the value of x in each case:
Answer:
x=36
Step-by-step explanation:
180-x=180-2x +180-4x
180-x = 360 -6x
5x =180
36 = x
a rectangular garden is fenced on all sides with 128 feet of fencing. The garden is 4 feet longer than it is wide. Find the length and width of the garden
Answer:
Length = 34 feet
Breadth = 30 feet
Step-by-step explanation:
Perimeter= 128 ft
Let the breadth be = [tex]x[/tex]
Let the length be = [tex]x+4[/tex]
∴by the problem ,
2(length+breadth)= perimeter
[tex]2(x+4+x)=128\\2(2x+4)=128\\4x+8=128\\4x=128-8\\4x=120\\x=120/4\\x=30[/tex]
Therefore, length of the garden = 30+4= 34 feet
breadth of the garden = 30 feet
Factorise : x^2-9x-70 Step by Step
Answer:
Step-by-step explanation:
x^2 - 9x - 70
we need to find two numbers whose sum is -9 and product id -17
The numbers are -14 and 5
By splitting the middle term,
x^2 - 14x + 5x - 70
= x ( x - 14 ) + 5 ( x - 14 )
( x + 5 ) ( x - 14 )
Hope this helps
Plz mark as brainliest!!!!!
Answer:
Step-by-step explanation:
Sum = -9
Product = -70
Factors = -14 , 5
x² - 9x - 70 = x² + 5x - 14x + (-14) * 5
=x(x + 5) - 14(x + 5)
= (x + 5)(x - 14)
help me with the question of o.math
Answer:
Hello,
Answer 163
Step-by-step explanation:
1,7,16,28,43,..., 10th term=?
[tex]u_1=1,u_2=7,u_2-u_1=7-1=6=2*3\\u_3=16, u_3-u_2=16-7=9=3*3\\u_4=28, u_4-u_3=28-16=12=4*3\\u_5=43, u_5-u_4=43-28=15=5*3\\\\\boxed{ u_1=1, \ u_{n+1}-u_{n}=(n+1)*3}\\\\u_{10}=163\\[/tex]
The first four terms of a sequence are, 9,2,-5,-12.
State the pattern of the sequence using algebraic expressions.
Answer:
[tex]a_{n}[/tex] = 16 - 7n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
2 - 9 = - 5 - 2 = - 12 - (- 5) = - 7
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = - 7 , then
[tex]a_{n}[/tex] = 9 - 7(n - 1) = 9 - 7n + 7 = 16 - 7n
solve for x? They are vertical angles
Answer:
Step-by-step explanation:
6x - 11 = 3x + 13
3x = 24
x = 8
(b) A shopkeeper gives 20% discount on the marked price of a television set. The VAT amount at the rate of 13% is Rs. 2,600. Find the marked price and the amount of discount.
Answer:
6.3
Step-by-step explanation:
i had the same question for school
Please help with my math homework
Answer:
Down here:
Step-by-step explanation:
a. 1 , 3 , 9 , 27 , 81, 243, 729
rule, multiply by 3
b. 8, 7, 9, 8, 10, 9, 11, 10, 12
rule, -1 then +2
c. 100, 50, 25, 12.5, 6.25, 3.125
rule, divide by 2
d. 1, 4, 9, 16, 25, 36, 49
rule +3, +5, +7, +9, +11.....
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please solve.
Essie likes plants. She never misses a chance to go to the nursery section in Home Depot. Essie has a total of $65.50 to spend on her trips to the store over the next three days. On her second trip to the nursery she spent $15.50 dollars more than what she spent on the first trip to the store. On her third trip to the nursery she spent two times much as what she spent on her first trip to the nursery. How much did she spend on her first trip to the nursery? Create a linear equation to model a real-world situation and solve the equation to find the solution
Answer:
Step-by-step explanation:
Let $ x = the amount spent on the first day
The amount spent on the second day = x + 15.50
The amount spent on the third say = 2*x = 2x
Total amount Essie spent on 3 days = $65.50
x + (x +15.50) + 2x = 65.50
x + x + 15.50 + 2x = 65.50
Add like terms
4x + 15.50 = 65.50
Subtract 15.50 from both sides
4x = 65.50 - 15.50
4x = 50
Divide both sides by 4
x = 50/4
x = $ 12.50
The amount spent on the first day = $ 12.50
The amount spent on the second day = 12.50 + 15.50 = $ 28
The amount spent on the third day= 12.50 * 2 = $ 25
The ratio of the measures of the three angles of a triangle is 2:2:5 . Find the measure of each angle
Answer:
Angle 1:Angle2: angle3: total
40 40 100 180
Step-by-step explanation:
The sum of the angles of a triangle is 180
Angle 1:Angle2: angle3: total
2 :2 :5 : 2+2+5 = 9
Divide 180 by 9
180/9 = 20
Multiply each by 20
Angle 1:Angle2: angle3: total
2*20 :2*20 :5*20 : 9*20
40 40 100 180
Finding Inverses
Find an equation for the inve
3.
y = 3x + 2
Sal washed 5 cars in 50 minutes. What is the unit rate?
Answer:
since Sal washed 5 cars in 50 minutes, we can express his time as follow:
[tex] \frac{5 \: cars}{50 \: minutes} [/tex]
simplifying it by diving by 5, we get:
[tex] \frac{1 \: car}{10 \: minutes} [/tex]
Thus the rate will be 10 minutes per car (10 min/car)
Answer:
10 mins / car
Step-by-step explanation:
50 / 5 = 10
the area if the top of a cube is 9 aquare meters . what is the volume of the cube?
Answer:
27 cubic meters
Step-by-step explanation:
For square, length and width is same.
3x3 = 9 square meters
3x3x3 = 27 cubic meters
Volume of a cube = length · width · height, or:
Volume of a cube = length³
We know that a cube is made up of 6 squares, so if the area of one of the squares is 9, we can take the square root to find the sides:
√9 = ±3
(and in this case, you can't have negative measurements, so it's positive.)
Now, all we have to do is cube the side length, so:
3³ = 27.
If you have any questions, feel free to ask! :)