Answer:
muy bien ami si me funciono la pregunta
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. Need help quick Plz!!!
Answer:
The answer is below
Step-by-step explanation:
The shape of the figure attached is the shape of a sector with an angle of 90° (quarter of a circle).
From the sector, AB = AC = radius of the sector (r) = 12. Therefore:
\(Area\ of\ sector=\frac{\theta}{360}*\pi r^2 = \frac{90}{360}*\pi * (12)^2 = 0.25 * \pi * 144=36\pi\\\\Area\ of\ triangle\ ABC=\frac{1}{2}*base *height= \frac{1}{2}*AB*BC=\frac{1}{2}*12*12=72\\\\Area \of\ shaded\ region = Area\ of\ sector-Area\ of\ triangle=36\pi-72\\\\Area \of\ shaded\ region =36\pi-72\)
From the triangle: AC² = AB² + BC²
AC² = 12² + 12² = 144 + 144
AC² = 288
AC=√288 = 12√2
\(Perimeter\ of\ sector=\frac{\theta}{360}*2\pi r = \frac{90}{360}*2\pi * (12) = 0.25 * 2\pi * 12=6\pi\\\\Perimeter \of\ shaded\ region = Perimeter\ of\ sector+AC=6\pi + 12\sqrt{2}\)
could anyone please help? i'd appreciate it
Answer:
x = 30
Step-by-step explanation:
6x = 180
Hope it helps
which measure is of an angle that is coterminal with a 135° angle? 45° 90° 495° 585°
The measure of an angle that is coterminal with a 135° angle is 495°.
Coterminal angles are angles that share the same initial and terminal sides, meaning that they differ by a multiple of 360°.
Therefore, to find an angle that is coterminal with 135°, we need to add or subtract multiples of 360° until we get an angle within the given range.
Here, we have the following options:135° + 360° = 495° (this is the smallest positive angle that is coterminal with 135°)135° - 360° = -225° (this is a negative angle that is coterminal with 135°)Since we are given a list of positive angles as answer choices, the correct answer is 495°.
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find the greatest common factor for the list of terms 30x^(3),110x^(4),60x^(5) answer in the same way as the example. example: 60
Answer:
To find the greatest common factor (GCF) of the list of terms 30x^3, 110x^4, and 60x^5, we can begin by factoring each term into its prime factors:
30x^3 = 2 * 3 * 5 * x * x * x
110x^4 = 2 * 5 * 11 * x * x * x * x
60x^5 = 2 * 2 * 3 * 5 * x * x * x * x * x
Next, we can identify the common factors among the three terms. These are 2, 5, and x^3. The GCF is the product of these common factors:
GCF = 2 * 5 * x^3 = 10x^3
Therefore, the greatest common factor of 30x^3, 110x^4, and 60x^5 is 10x^3.
Step-by-step explanation:
the circumference of a circle is 30 cm. What is the length, in cm, of the radius of the circle?
Answer:
4.77cm
Step-by-step explanation:
circumference= 30
2πr = 30
2×22/7×r=30
44/7r=30
44r=210
r= 4.772
What is this I need help ASAP plsssssssssssssssssssssss
Answer:
6 14/15
Step-by-step explanation:
change to improper fraction
change to common denominator
solve parentheses
subtract
The coordinated of point T are (0,4). The midpoint of ST is (4,-5). Find the coordinates of point S
Answer:
(8,-14)
Step-by-step explanation:
mid piont is (4,-5) So let us consider that S(x,y)
Now,
from mid point formula,
\(4 = \frac{x + 0}{2} \\ x = 8\)
\( - 5 = \frac{y + 4}{2} \\ - 10 = y + 4 \\ y = - 10 - 4 \\ y = - 14\)
What is the zero of the function?
A. -4
B. 6
C. 0
D. No solution.
Answer:
B
Step-by-step explanation:
Since the line intersects the x-axis at 6, the zero is (6,0)
Karina's aquarium can hold 80 liters,which is equal to 80,000cm.The base measure 100cm by 40cm.What is the height of the aquarium in centimeters?Round your answer to the nearest hundredth.
Answer:
20 centimeters
Step-by-step explanation:
Karina's aquarium can hold 80 liters,which is equal to 80,000cm³.The base measure 100cm by 40cm.What is the height of the aquarium in centimeters?Round your answer to the nearest hundredth.
The shape of an Aquarium = Rectangular Prism
Volume of the rectangular prism = L × Width × Height
Volume = 80 Liters = 80,000 cm³
Base = 100 cm × 40 cm
Height of the aquarium is calculated as:
80,000cm³ = 100 cm × 40 cm × h
h = 80,000cm³/100 cm × 40 cm ×
h = 20 cm
The height of the aquarium = 20cm
Answer:
20 centimeters
Step-by-step explanation:
In one day, Mr Hanson spent $100
five times with his debit card. How
much money was deducted from
huis tort?
Se redujeron $500 de la tarjeta de debito.
hii:) anyone able to help with practice 6? Thanks:)!
Answer:
The answer is
\(x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} \)Step-by-step explanation:
\( ln(2) \times ln(4x) = 3\)Divide both sides of the equation by ln 2
That's
\( \frac{ ln(2) ln(4x) }{ ln(2) } = \frac{3}{ ln(2) } \)We have
\( ln(4x) = \frac{3}{ ln(2) } \)Covert the logarithm into exponential form using the property
\( ln(x) = b\: \: is \: \: \: the \: \: \: same \: \: \: as \: \: \: \:
x = {e}^{b} \)Are all the same
So
\( ln(4x) = \frac{3}{ ln(2) } \)is the same as
\(4x = {e}^{ \frac{3}{ ln(2) } } \)Divide both sides by 4
We have the final answer as
\(x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} \)Hope this helps you
Use algebra tiles to solve 3x+3=12.
Answer:
x=3 I am new to this so I have no idea if this is what you are asking for
Which point on the number line represents the product (5)(-2)(-1)?
-11-10 -98
O Point A
Point B
Point C
Point D
O
O
Mark this and return
B
C
-3 -2 -1 0 1 2
3
4
5
6
789
D
10 11
The product of the three integers 5, -2, and -1,which is 10 (Point D) .
What is a number line?A number line is defined as a straight line with evenly spaced integers drawn horizontally.
Integers include natural numbers, 0, and the negative of natural numbers.
You are given three numbers: 5, -2, and -1. We need to find the product of these three numbers.
When multiplying integers, negative multiplies negative and positive multiplies positive. If one number is negative and the other is positive, the result is negative.
(5)(-2)(-1) = (5×-2)(-1)
= (-10) (-1)
= 10
So the product of the three integers 5, -2, and -1 is 10, which is marked as point D on the number line.
Your question is incomplete but most probably your full question was:
Which point on the number line represents the product (5) (negative 2) (negative 1)?
A number line going from negative 11 to positive 11. Point A is negative 10, point B is negative 2, point C is 2, point D is 10.
Point A
Point B
Point C
Point D
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35,824+46,713 FIND THE SUM (AWSER)
Answer:82537
Step-by-step explanation:
What are the consecutive perfect cubes which added to obtain a sum of 100? PLEASE HELP!!!!!!!
Answer: 1, 2, 3, 4 are the consecutive perfect cubes which are added to obtain a sum of 100.
Step-by-step explanation:
Perfect cubes are the numbers that are triple product of same number.
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
1+8+27+64 = 100
Answer: 1, 2, 3, 4 are the consecutive perfect cubes which are added to obtain a sum of 100.
Explanation:
Perfect cubes are the numbers that are triple product of same number.
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
1+8+27+64 = 100
Area of shaded sector.
Is it D??? Or did I make a mistake please lmk
DUE TODAY!
Answer:
Step-by-step explanation:
c
well, since it has a diameter of 19, that means its radius is half that, or 9.5.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=9.5\\ \theta = 237 \end{cases} \implies A=\cfrac{(237)\pi (9.5)^2}{360}\implies A\approx 186.66~ft^2\)
Jeremy deposited xxx dollars in his investment account on January 111, 200120012001. The amount of money in the account doubled each year until Jeremy had 480480480 dollars in his investment account on January 111, 200520052005. What is the value of xxx
The value of x is $30.
What is the value of x?From the question, it can be deduced that Jeremy's investment account earns a compound interest. Compound interest is when the amount invested and the interest that has already accrued increases in value anytime interest is paid.
The formula that can be used to determine the value of x is:
x = FV / (1+r)^t
FV = Future value = 480R = interest rate = 100%N = number of years : 2005 - 2001 = 4X = 480 / (2^4) = $30
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Find an expression, in it's simplest form, for the perimeter of this hexagon.
Answer:20
Step-by-step explanation:
Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile driven. Company B charges an initial fee of $80 for the rental plus $2 per mile driven. Let AA represent the amount Company A would charge if Piper drives xx miles, and let BB represent the amount Company B would charge if Piper drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
Answer:
An equation for each situation, in terms of x
A = 35 + 3x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
Step-by-step explanation:
Let A represent the amount Company A would charge if Piper drives x miles
Let B represent the amount Company B would charge if Piper drives x miles.
Company A charges an initial fee of $35 for the rental plus $3 per mile driven.
A= $35 + $3 × x
A = 35 + 3x
Company B charges an initial fee of $80 for the rental plus $2 per mile driven.
B = $80 + $2 × x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B.
= A < B
35 + 3x < 80 + 2x
3x - 2x < 80 - 35
x < 45 miles
That is: any number of miles driven below 45 miles makes Company A cheaper than Company B
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
If the area of the circle equals 500 cm², find its circumference.
Answer:
Step-by-step explanation:
A solid metal sphere of diameter 30cm is melted down and recast into a hollow metal pipe of internal radius of 3.5cm and external radius of 4 cm. In the process, 10% of the metal is lost. Giving your answer in terms of π calculate
A) The volume of the metal in the sphere
B)The volume of the metal used to make the pipe
C) The cross-sectional area of the metal in the pipe
D) Calculate the length of the pipe in metres
Using general area and volume formulas:
a) V = π*3,375cm^3
b) V' = π*3,037.5 cm^3
c) A = π*7.5cm^2
d) The length of the pipe is 405cm.
How to get the volume of the sphere?
Remember that a sphere of radius R has a volume:
V = π*R^3
In this case, the diameter is 30cm, so the radius (half of that) is:
R = 30cm/2 = 15cm
So the volume is:
V = π*(15cm)^3 = π*3,375cm^3
b) Ok, 10% of the metal is lost when making the pipe, then the volume of the pipe will be the 90% of the above volume:
V' = π*3,375cm^3*(0.9) = π*3,037.5 cm^3
c) It will b a ring of internal radius of 3.5cm and external radius of 4cm.
The area of a ring with internal radius r and external radius R is:
A = 2*π*(R^2 - r^2)
A = 2*π*((4cm)^2 - (3.5cm)^2) = π*7.5cm^2
d) The length of the pipe will be h, and we must have that the height times the cross-sectional area is equal to the volume, then:
(π*7.5cm^2)*h = π*3,037.5 cm^3
7.5*h = 3,037.5 cm
h = 3,037.5 cm/7.5 = 405cm
The length of the pipe is 405cm.
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in general equilibrium, if the is curve shifts to the left more than the fe line does, the price level will be ____ before the shock.
In general equilibrium, if the IS curve shifts to the left more than the FE line does, the price level will be higher before the shock.
Here's a step-by-step explanation:
1. In general equilibrium, the economy is at the intersection of the IS (investment-savings) curve and the LM (liquidity-money) curve.
2. When the IS curve shifts to the left more than the FE (full employment) line, it indicates a decrease in overall investment and spending in the economy.
3. As a result, the intersection point of the IS and LM curves moves to the left, causing the aggregate demand to decrease.
4. This decrease in aggregate demand puts downward pressure on the price level.
5. Therefore, the price level will be higher before the shock than it is after the IS curve shift.
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The black graph is the graph of y =f(x). Choose the equation for the red graph. A. y - 1 = f() B. y + 1 = f() C. = f(x - 1) D. f(x)
Answer: C
Step-by-step explanation:
The red graph is the result of reflecting the graph of y=f(x) across the x-axis and then translating 1 unit to the right.
What is true of angles of similar triangles?
Answer:
corresponding angles are congurent
Step-by-step explanation:
Answer:
Corresponding angles are congruent
Explanation:
If you line the triangles up on top of each other, they should be the same and you should not see any angles or lines from triangle 1 away from triangle 2
Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) Q(x) + R(x).
P(x) = 3x³-4x²-3x, D(x) = 3x - 4
P(x) =
The value of Q(x) = x² - 1
R(x) = 4
What is Long Division?
Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.
By long Division method:
x² - 1
_______________________________
(3x - 4) | 3x³ - 4x² - 3x
3x³ - 4x²
_________________
0 - 0 - 3x
- 3x + 4
___________________
0 + 4
Q(x) = x² - 1
R(x) = 4
Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1 ) + 4
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Which of the following results in a sum or a rational product? Choose all that apply.
π×5
3.1 +2.34
√16x√81
2.12×2/3
√5+√7
3.1 +2.34, √16x√81 and 2.12×2/3 will result in a sum or a rational product
How to determine a rational product or sum?A rational number is a number that can be written in the form of a/b, where a and b are integers, and b is not equal to 0. e.g 1/3, 2/3, √4 = 4/1, etc.
The opposite of a rational number is called an irrational or non-rational number. They are mostly in the form of square roots, which when evaluated can be expressed in the form a/b e.g √7, π, 2/√5, 3√11, etc.
For π×5:
Since π is considered an irrational number then π×5 is also irrational
For 3.1 +2.34:
3.1 + 2.34 = 31/10 + 234/100 = 136/25
This is rational
For √16x√81:
√16x√81 = 4 x 9 = 36
This is rational
For 2.12×2/3:
2.12×2/3 = 212/100 x 2/3 = 424/300
This is rational
For √5+√7:
√5+√7 can be written in the form of a/b, thus, it is not rational
Therefore, 3.1 +2.34, √16x√81 and 2.12×2/3 will result in a sum or a rational product. So 2nd, 3rd and 4th options should be chosen
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I need a answer as soon as possible
Answer:
67
Step-by-step explanation:
Because 180-113 is 67.
Answer:
67°
Step-by-step explanation:
A line is 180° so subtract the 113°
180 - 113 = 67°
hope that helps and have a great day :D
Homework Progress
Work out the length x.
14 cm
X
7 cm
Optional working
X Ansv
cm
+
Answer:
12.12
Step-by-step explanation:
let be a differentiable function where 9 and 4 and 3. if we change by -0.7 and we change by 0.3 then we can expect the value of to change by approximately what amount
If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.
Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"
Using the linear approximation formula, we have:
\(Δf(x) ≈ f'(9) Δx\)
where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.
We can rearrange the formula to solve for Δf(x):
\(Δf(x) ≈ f'(9) Δx\)
Δf(x) ≈ 3(-0.7)
Δf(x) ≈ -2.1
This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.
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If the diameter of a circle is 70 cm, what is its circumference
Answer: 219.91cm
Step-by-step explanation:
C=πd
π·70
=219.91149cm