4. Nicole uses 2.5 meters of ribbon to decorate
door wreaths. There are 20 meters of ribbon on a
spool. Write an equation that could be used to
determine the number of wreaths that Nicole
could decorate using one spool of ribbon. Solve.
Equation:
An equation that could be used to determine the number of wreaths that Nicole could decorate using one spool of ribbon is:
W = S / R
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
An equation that could be used to determine the number of wreaths that Nicole could decorate using one spool of ribbon is:
W = S / R
where W is the number of wreaths, S is the total length of ribbon on the spool, and R is the length of ribbon used per wreath.
Plugging in the given values, we get:
W = 20 / 2.5
Solving for W, we get:
W = 8
So Nicole could decorate 8 wreaths using one spool of ribbon.
To learn more about algebra visit:
brainly.com/question/24875240
#SPJ1
The point N(-2,-3) is rotated 270° clockwise about the origin. What are the coordinates of N'?
A. (-3,-2)
B. (-3,2)
C. (3,-2)
The coordinate of N' is (2, -3)
Now, According to the question:
We have the point n (-2, -3) and we need to rotate it 270 degrees clockwise about the origin.
When rotating 270 clockwise about the origin you switch the x and y coordinate and use the opposite sign of the original y coordinate.
A(x, y) becomes A' (-y, x)
This means that point N becomes:
N (-2, -3) => N'(-(-2), (-3))
=> N'(2,- 3)
Hence, The coordinate of N' is (2, -3)
Learn more about Rotation at:
https://brainly.com/question/28602210
#SPJ4
Please help if you can ik it is Pythagorean theorem
Step-by-step explanation:
A = (1/2)bh ---> h = 2A/b = 2(12 cm^2)/(5 cm) = 4.80 cm
---> x^2 = h^2 + (b/2)^2
= (4.8 cm)^2 + (2.5)^2
= 23.04 cm^2 + 6.25 cm^2
or x = 5.41 cm
Therefore, the perimeter P is
P = 2x + b = 2(5.41 cm) + 5 cm = 15.8 cm
hola me pueden ayudar es para hoy pliss doy coronita ✨
Answer:
Step-by-step explanation:
A. 62
B. 58
C. -19
Please help will give brainliest
HELP ASAP!!!!
A person is standing 19 feet from the base of a tree and there is a bird's nest in the tree 10 feet above the groundWhat is the angle off elevation from the person to the bird's nest? Round to the nearest tenth of a degree
Answer:
do your own work don't ask any question
⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ a(1)=20 a(n)=a(n−1)−17 third term
The third term of the arithmetic sequence will be negative 14.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term is 20 and the common difference is calculated as,
aₙ = aₙ₋₁ - 17
aₙ - aₙ₋₁ = - 17
d = - 17
Then the third term is calculated as,
a₃ = 20 + (3 - 1) (-17)
a₃ = 20 + 2 (-17)
a₃ = 20 - 34
a₃ = - 14
The third term of the arithmetic sequence will be negative 14.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ1
please no links or anything but the correct answer!
Answer:
sinD ≈ 0.44
Step-by-step explanation:
sinD = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CE}{CD}[/tex] = [tex]\frac{39}{89}[/tex] ≈ 0.44 ( to the nearest hundredth )
Don’t judge :|
help pls:p
Answer:
5x−4y
Step-by-step explanation:
:D
Answer: 5x - 4y
Step-by-step explanation: combining like terms means to combine the terms that have the same letter. so since the 3 and 2 have an x you combine them and the 3 and -7 have a y you combine them. hope this helped:)
What is the area of the figure, pls hurry 100 points
Answer:
25 1/6 square yardsStep-by-step explanation:
I am assuming you mean the area of the shaded figure.
So, let's do it this way.
Let's subtract the total area from the unshaded area:
7 1/4 x 6 = 43 1/2
Area of non-shaded = 18 1/3
Area of shaded = 43 1/2 - 18 1/3 = 25 1/6
Hope that helps! :)
-Aphrodite
=D I have been stuck on this omg
Answer:
rectangular prism maybe
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES
Answer:
1. 170.083 in³
2. 126π in³
3. 92.106 m³
4. 2412.74 in³
5. 612π m³ and 1922 m³
Step-by-step explanation:
1.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex](3.14)(2.5)^{2}(7)[/tex] *Square 2.5*
[tex](3.14)(6.25)(7)[/tex] *Solve*
≈ [tex]137.375in^{3}[/tex]
Sphere:
[tex]V = \frac{4}{3}\pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3} (3.14)(2.5)^{3}[/tex] *Cube 2.5*
[tex]\frac{\frac{4}{3}(3.14)(15.625)}{2}[/tex] *Divide by 2 and Solve*
≈ [tex]32.7083 in^{3}[/tex]
Add both volumes
[tex]137.375 + 32.7083[/tex] ≈ [tex]170.083in^{3}[/tex]
2.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex]\pi (3)^{2}(10)[/tex] *Square 3*
[tex]\pi (9)(10)[/tex] *Multiply*
[tex]90\pi[/tex]
Sphere:
[tex]V = \frac{4}{3}[/tex] π [tex]r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3}\pi (3)^{3}[/tex] *Cube 3*
[tex]\frac{4}{3} \pi (27)[/tex] *Multiply*
[tex]36\pi[/tex]
Add both Volumes to get total
[tex]90\pi + 36\pi = 126in^{3}[/tex]
3.
Sphere:
[tex]V = \frac{4}{3}\pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3} (3.14)(3)^{3}[/tex] *Cube 3*
[tex]\frac{4}{3} (3.14)(27)[/tex] *Multiply*
[tex]113.04m^{3}[/tex]
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{(3.14)(2)^{2}(5)}{3}[/tex] *Square 2*
[tex]\frac{(3.14)(4)(5)}{3}[/tex] *Solve*
[tex]20.93m^{3}[/tex]
Subtract the volumes to get the volume of the blue area
[tex]113.04 - 20.93 = 92.106m^{3}[/tex]
4.
Sphere:
[tex]V = \frac{4}{3} \pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3}\pi (8)^{3}[/tex] *Cube 8*
[tex]\\\frac{4}{3}\pi (512)[/tex] *Multiply*
[tex]\\\\\pi (682.6)[/tex] *Solve*
[tex]2133.66in^{3}[/tex] *Divide by 2 since it's a hemisphere*
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{\pi (8)^{2}(20)}{3}[/tex] *Square 8*
[tex]\frac{\pi (64)(20)}{3}[/tex] *Multiply and Divide*
[tex]1340.41 in^{3}[/tex]
Add both volumes
[tex]1072.33 + 1340.41 = 2412.74in^{3}[/tex]
5.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex]\pi (6)^{2}(16)[/tex] *Square 6*
[tex]\pi (36)(16)[/tex] *Multiply*
[tex]576\pi[/tex]
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{\pi (6)^{2}3}{3}[/tex] *Square 6*
[tex]36\pi[/tex]
Add both volumes
[tex]576\pi + 36\pi = 612\pi m^{3}[/tex]
Alternative: *Multiply π*
[tex]1922m^{3}[/tex]
Answer:
1) 175 [tex]in^2[/tex]
2) 1st option
3) 92 [tex]m^2[/tex]
4) 2412 [tex]in^3\\[/tex]
5) 2nd option
Step-by-step explanation:
[tex]1)\ A = D * Pi = 5 * 3.14 = 15.7\\[/tex]
[tex]2)\ V_{1} = 15.7 * 7 = 109.9[/tex]
[tex]3)\ V_{2} = 4Pi*\frac{R^3}{3} = 12.56*\frac{15.625}{3} = 65.41(6)[/tex]
[tex]4)\ V_1 + V_2 = 65.4 + 109.9 = 175.3[/tex] which is close to 175
[tex]1)\ A = Pi * R^2 = 3.14 * (\frac{6}{2})^2 = 3.14 * 3^2 = 28.26\\[/tex]
[tex]2)\ V_1 = A * h = 28.26 * 10 = 282.6[/tex]
[tex]3)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * (\frac{6}{2})^3 = 113.04[/tex]
[tex]4)\ V_1 + V_2 = 282.6 + 113 = 395.6[/tex] which is very close to 396
[tex]5)\ 396 = 126 * pi[/tex]
[tex]1) V_1 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 2^2 * 5 = 20.9(3)[/tex] =
[tex]2)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * 3^3 = 113.04\\[/tex]
[tex]3)\ V_2 - V_1 = 113.04 - 20.93 = 92.14[/tex] which is very close to 92
[tex]1)\ V_1 = \frac{\frac{4}{3} * Pi * R^3}{2} = \frac{\frac{4}{3} * 3.14 * 512}{2} = 1,071.786\\[/tex]
[tex]2)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 64 * 20 = 1,339.733[/tex]
[tex]3)\ V_1 + V_2 = 1072 + 1340 = 2,411 = 2412[/tex]
[tex]1)\ A = Pi * R^2 = 36*Pi\\[/tex]
[tex]2)\ V_1 = 36*Pi * 16 = 576 * Pi\\[/tex]
[tex]3)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * Pi * 36 * 3 = 36 * Pi[/tex]
[tex]4) V_1 + V_2 = 576Pi + 36Pi = 612Pi[/tex]
Can someone help me with this?
Answer:11 weekends
Step-by-step explanation:
it will take 11 weekends
is it positive, negative or is it zero
Answer:
What do you mean?
Step-by-step explanation:
Find the nearest tenth
Answer:
8.6
Step-by-step explanation:
Mean = Sum of numbers/amount of numbers
= (11+13+8+9+4+8+7)/7
= 60/7
= 8.6
Each side of a square office is 8 yards long. It will cost $65.00 per square yard to replace the carpet in the office. What would be the total cost replace the carpet?
Answer:
520 because 65 x 8 is 520
Step-by-step explanation:
Solve for x: 3(x + 1) = 2(x − 1)
Answer:
x= -5
Step-by-step explanation:
3x+3=2x-2
3x-2x=-3-2
x=-5
Answer:
x = -5
Step-by-step explanation:
First Expand the equation
3x+3 = 2x-2
Subtract 2x from both sides
x+3=-2
subtract 3 from both sides
x = -5
Hope this helps :)
SinA + cosA = √2, prove that tanA + cotA = 2
[tex]sin(A)+cos(A)=\sqrt{2}\hspace{10em}tan(A)+cot(A)=2 \\\\[-0.35em] ~\dotfill\\\\ tan(A)+cot(A)=2\implies \cfrac{sin(A)}{cos(A)}+\cfrac{cos(A)}{sin(A)}=2 \\\\\\ \cfrac{sin^2(A)+cos^2(A)}{cos(A)sin(A)}=2\implies \boxed{\cfrac{1}{cos(A)sin(A)}=2} \\\\[-0.35em] ~\dotfill[/tex]
[tex]sin(A)+cos(A)=\sqrt{2}\implies (~~sin(A)+cos(A)~~)^2=(\sqrt{2})^2 \\\\\\ sin^2(A)+2sin(A)cos(A)+cos^2(A)=2 \\\\\\ 2sin(A)cos(A)+sin^2(A)+cos^2(A)=2\implies 2sin(A)+1=2 \\\\\\ 2sin(A)cos(A)=1\implies \boxed{2=\cfrac{1}{cos(A)sin(A)}}[/tex]
now, another way to look at this identity will be as a unified system of equations
[tex]\begin{cases} (~~sin(A)+cos(A)~~)^2=2\\\\ ~~ ~tan(A)+cot(A)=2 \end{cases}\implies (~~sin(A)+cos(A)~~)^2=tan(A)+cot(A)[/tex]
and we'd end up with the same rigamarole.
Marla is four years less than twice as old as Darla. If the sum of their age is 47, how old is Marla?
According to the given algebra Darla is 17 years old and Maria is 30 years old.
What algebraic fundamentals are there?Numbers, parameters, constants, expressions, equations, linear equations, and quadratic equations are all part of the fundamentals of algebra. Additionally, the algebraic expressions contain the fundamental arithmetic operations of addition, subtraction, multiplication, as well as division.
According to the given information.Maria is 4 years younger than Don,
thus if Don is x years old, then Maria is x years younger. (2x-4)
If their ages added together equal 47,
then x + (2x-4) = 47
Solving for x, then determining Maria's age (2x-4)
3x=47+4
3x=51
x=51/3
x=17 years
Maria's age=2*17-4=30 years
To know more about algebra visit:-
brainly.com/question/24875240
#SPJ1
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
B
Step-by-step explanation:
Theorem: If a quadrilateral has 2 sets of opposite sides congruent, 2 sets of opposite angles congruent, and has consecutive angles which are supplementary, then it is a parallelogram.
Hope this helps!
The diagram shows two rectangles.
The combined area of both rectangles is
By considering the areas of the two rectangles, find an equation in the form that satisfies .
We know that :
⊕ Area of a Rectangle is given by : Length × Width
Let us calculate the Area of the Rectangle in the Left side of the figure
⇒ Area of Left Rectangle : (x - 3) (x + 2x)
⇒ Area of Left Rectangle : (x - 3) (3x)
⇒ Area of Left Rectangle : 3x² - 9x
Let us calculate the Area of the Rectangle in the right side of the figure
⇒ Area of the Right Rectangle : (x - 1)(x)
⇒ Area of the Right Rectangle : x² - x
Given : Combined area of both rectangles is 50 cm²
⇒ 3x² - 9x + x² - x = 50
⇒ 4x² - 10x = 50
⇒ 2x² - 5x - 25 = 0
Comparing the above equation with ax² + bx + c = 0,
we can notice that :
→ a = 2
→ b = -5
→ c = -25
a+ 1 1/6 = 11 7/9
...........................
Answer:
a = 191/81
Step-by-step explanation:
a+ 1 1/6 = 11 7/9
1 1/6 = 7/6
11 7/9 = 106/9
So, our equation is
a + 7/6 = 106/9
Subtract 7/6 from both sides
a = 191/81
So, the answer is
a = 191/81
Solve for x. Assume that lines which appear tangent
Answer:
Step-by-step explanation:
Join line EG with a straight edge.
Put a point in the middle of the circle.
Call it O.
GO and EO form a central angle.
GOE = 120 degrees
Any point on the circumference of a circle that is on the same side of EG as the peak of the central angle = 1/2 the central angle. It's much easier to do this with an example
Arc EOG = 120 degrees. The Central angle = the arc.
EFG = 1/2 EOG
EFG = 1/2 120
EFG = 60
11x + 5 = 60 Given
-5 -5 Subtract 5 from both sides.
11x = 55 Divide by 11
x = 55/11
x = 5
A retailer is offering 5% off your total order, if you sign up for their email list. If your total is $254.20, how much will you save by signing up?
Answer:
$254.20 - 5%= 241.49 US$
so you will save up to 14
Estimate how many times larger 1.9 • 10^-8 is than 4.2 • 10^-13
Answer:
Step-by-step explanation:
a.[tex]1.9[/tex]·[tex]10^{-8}[/tex]=190000·[tex]10^{-13}[/tex]
b.so 190000÷4.2=4523
c.finally, about 4523 times
Use the diagram to help you solve the equation 4x-12=16 how to do it
What are the 4 names of an angle?
The four names of an angle are acute angle, right angle, obtuse angle, and reflex angle.
An acute angle measures less than 90 degrees.
A right angle measures exactly 90 degrees.
An obtuse angle measures greater than 90 degrees but less than 180 degrees.
A reflex angle measures greater than 180 degrees but less than 360 degrees.
It's worth noting that these names are based on the measure of the angle, an acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a reflex angle is greater than 180 degrees but less than 360 degrees.
To know more on angles
https://brainly.com/question/15815174
#SPJ4
which answer is this
A.43
B.38
C.61
D.81
Which function is shown on the graph?
of(x) = 1/2cos x
of(x) = -1/2cos x
Of(x) = -1/2sin x
Of(x) = 1/2sin x
The reasons and responses to the graphs in the question are as follows:
Graph 1.
The amplitude of the first graph is (1/2) which is the height from the midline to the peak
The value of the function at x = 0 is -(1/2), where sin(0) = 0, therefore, the function is a cosine function
The period of the graph is 2·π, which is the period of the parent cosine function
Therefore, the correct option is
Graph 2: Please find attached the graph of the function g(x) = 2×cos(x)
Graph 3: The frequency of a sinusoidal function is given as follows;
The period of the graph = π
Therefore;
The frequency of the sinusoidal graph is 2
Graph 4. Required:
To find the equation that represents the function of the graph
Solution;
The period of the function, T = π
The graph of the function has a maximum at x = 0, therefore, the graph is similar to a cosine function, y = cos(B·x)
Where;
B = 2·π/T
Therefore;
B = 2·π/π = 2
Therefore;
The equation that represent the function in the graph is f(x) = cos(2·x)
Question 5. The given function is f(x) = cos(2·x)
The frequency factor in the given function, B = 2
The period, T = 2·π/B
Therefore, T = 2·π/2 = π
The period of the function, f(x) = cos(2·x), is 2
To learn more about sinusoidal function refer to:
https://brainly.com/question/9133917
#SPJ1
Identifying Characteristics of an Exponential Function
Consider the function f(x) = (6). What is the value of the growth factor of the function?
02
06
O 18
The function be f(x) = (6) then growth factor for the given equation (b) = 6.
What is meant by exponential growth function?Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.
A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
The general exponential growth function is given by :-
[tex]$f(t)=A b^t$[/tex] , where A is the initial amount , b is the growth factor and t is the time period.
The given function : [tex]$f(x)=(6)^x$[/tex]
When we compare it to the general exponential equation , we get
The growth factor for the given equation (b) = 6.
The complete question is:
Consider the function f(x) = (6)x. What is the value of the growth factor of the function?
To learn more about exponential growth function refer to:
https://brainly.com/question/27161222
#SPJ1
The function be f(x) = (6) then growth factor for the given equation (b) = 6.
What is meant by exponential growth function?Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.
A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
The general exponential growth function is given by :-
F(t) = AB^t, where A is the initial amount , b is the growth factor and t is the time period.
The given function : f(t) = (6)^x
When we compare it to the general exponential equation , we get
The growth factor for the given equation (b) = 6.
To learn more about exponential growth function refer to:
brainly.com/question/27161222
#SPJ1
The complete question is:
Consider the function f(x) = (6)x. What is the value of the growth factor of the function?