Answers
Answer:
[tex]13\frac{1}{3} \pi[/tex]
Step-by-step explanation:
First, find the area of the small circle whose radius is 3cm.
[tex]A = \pi r^{2} \\A = \pi (3^{2})\\A = \pi (9)\\A = 9\pi \\[/tex]
Next, find the area of the large circle. First, you need to find the radius of the large circle by adding the 3 and 4.
Radius of large circle.
3 + 4 = 7 cm
Area of large circle:
[tex]A = \pi r^{2} \\A = \pi (7^{2})\\A = \pi (49)\\A = 49\pi \\\\[/tex]
Now subtract the area of the small circle from the large circle since the shaded area doesn't include the small circle.
[tex]49\pi -9\pi =40\pi[/tex]
Finally find the shaded area. To do this first find what degree of the circle is shade by dividing 120 by 360.
120/360 = 1/3
Now multiply the area by 1/3, or you can divide it by 3
[tex]\frac{40\pi }{3} =13\frac{1}{3} \pi[/tex]
Related Questions
. The Flower Bouquet flower shop charges $1.50 for placing an order and $0.50 for each flower ordered. Which equation could be used to find n,the number of flowers purchased if the total bill was $9. (1 point)
A $9 = (0.50 + 1.50)n
B 0.50n + 1.50 = $9
C $9 = 50n + 1.50
D 0.50 n + 1.50n = $9
Answers
The equation that could be used to find the number of flowers purchased if the total bill was $9 is:0.50n + 1.50 = $9.
Since each flower costs $0.50, multiplying the cost per flower by the number of flowers (n) gives the total cost of the flowers then 0.50n represents the cost of the flowers.
and, 1.50 represents the fixed cost for placing the order.
and $9 represents the total bill, which includes the cost of the flowers and the fixed cost.
By adding the cost of the flowers (0.50n) to the fixed cost (1.50), the equation sets the total bill equal to $9 we get the Equation as
0.50n + 1.50 = $9
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Solve number 6 please
Answers
Answer:
d
Step-by-step explanation:
if 2 chords of a circle intersect , then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
KN × JN = LN × MN
(x - 4)(x + 23) = (x + 14)(x - 1) ← expand factors on both sides using FOIL
x² + 19x - 92 = x² + 13x - 14 ( subtract x² from both sides )
19x - 92 = 13x - 14 ( subtract 13x from both sides )
6x - 92 = - 14 ( add 92 to both sides )
6x = 78 ( divide both sides by 6 )
x = 13
Consider the equation:
6x+55=x²
1) Rewrite the equation by completing the square.
Answers
Step-by-step explanation:
-x^2+6x+55=0
x^2-6x-55=0
x^2-6x+(3)^2-55-(3)^2=0
(x-3)^2-64=0
three consecutive integers such that the smallest and three times the largest is 330 . what is the smallest integer?
Answers
A certain medication is eliminated from the bloodstream at a rate of about 17% per
hour. the medication reaches a peak level in the bloodstream of 60 milligrams.
determine the multiplier used to predict the amount of medication remaining 2
hours after the peak level.
Answers
Using an exponential function, it is found that the multiplier used to predict the amount of medication remaining 2 hours after the peak level is of 0.6889.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, we have that the decay rate is of r = 0.17, hence:
[tex]A(t) = A(0)(0.83)^t[/tex]
After 2 hours, the multiplier is given by:
[tex]A(2) = A(0)(0.83)^2 = 0.6889A(0)[/tex]
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Which function is a quadratic function?
Op(x) = 2x(x2 +6) +1
O m(x) = 4(x + 3) - 2
1
O f(x) = -8x²(x² − 6) + 1
O h(x) = 3x(x - 2) - 4
Answers
Answer:
h(x) = 3x(x - 2) - 4
Step-by-step explanation:
A quadratic function is a polynomial having a degree of 2.
==============================================================
On expanding h(x) :
⇒ h(x) = 3x (x - 2) - 4
⇒ h(x) = 3x² - 6x - 4
=============================================================
Hence, h(x) is a quadratic function.
Answer:
h(x) = 3x(x - 2) - 4
Step by-step explanation
A quadratic function has a degree of 2.
Firstly, we expand h(x):
h(x) = 3x (x - 2) - 4
OR h(x) = 3x squared - 6x - 4
Therefore, it is h(x)
Shane's age is 8 years more than three times Edward's age. Their combined age is 56 years.
How old is Shane?
Answers
Explanation:
y=shane's age
x=edward's age
y=3x+8
56=sum of their combined ages
56=4x+8
48=4x
x=12
y=3(12)+8
y=44
Solve the following quadratic function
by utilizing the square root method.
y = 100-x²
X =
= ±[?].
Please help me and please explain step by step 50 points if you do thank you
Answers
Answer:
x = ± 10
Step-by-step explanation:
to solve the equation let y = 0 , that is
100 - x² = 0 ( add x² to both sides )
100 = x² ( take square root of both sides )
± [tex]\sqrt{100}[/tex] = x , that is
x = ± 10
Find the length of the third side. If necessary, write in simplest radical form.
Answers
[tex]\text{Apply Pythagorean theorem,}\\\\~~~~~~~~\text{Hypotenuse}^2=\text{Base}^2 + \text{Perpendicular}^2\\\\\implies 9^2 = \text{Base}^2 + \left(2\sqrt{14} \right)^2\\\\\implies 81 = \text{Base}^2 + 56\\\\\implies \text{Base}^2 = 81-56\\\\\implies \text{Base}^2 = 25\\\\\implies \text{Base} = \sqrt{25}\\\\\implies \text{Base} = 5\\\\\text{The length of the third side is 5 units.}[/tex]
Which is the most reasonable estimate of 132% of 48?
5.2
6.5
52
65
Answers
Answer:
65
Step-by-step explanation
Just did it on egde
: The proliferation of the Internet has given rise to a new method of advertising, called spamming, that essentially is a more cost-effective method of the telephone solicitation method known as cold calling. If a company buys three mailing lists with 2,500, 3,500, and 4,000 email addresses respectively and spams them with promotional material, how many potential customers has it reached?
Answers
The number of potential customers that the company has reached is 10,000 e--mail addresses.
What is a word problem in mathematics?A word problem is a real-life problem and it can be approached with the use of a mathematical model, interpretation into variables, and arithmetic operations usage.
Given that:
A company buys three mailing lists with 2500, 3500, and 4000 addresses respectively.The number of potential customers that the company has reached is:
= 2500 3500 + 4000 e--mail addresses.
= 10,000 e--mail addresses.
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Help ?!!!!!!!!!!?!!!!!!
Answers
The answers of the given geometrical shapes are:
1. 226.29 cubic yard
2. 46.1 cubic inches
3. 2413.71 cubic inches
4. 234.67 cubic millimeter
5. 340.48 cubic yards
6. 113.14 cubic feet
7. 528 cubic centimeter
8. 905.14 cubic centimeter
9. 56.57 cubic feet
what is mensuration?Mensuration is the branch of geometry that deals with measurement of volumes and areas of geometrical shapes.
Analysis:
1. volume of cylinder =π [tex]r^{2}[/tex]h. where r = 6/2 = 3 yard, h = 8 yard
= [tex]\frac{22}{7}[/tex] x [tex]3^{2}[/tex] x 8 = 226.29 cubic yard
2. volume of cone = [tex]\frac{1}{3}[/tex] x π [tex]r^{2}[/tex]h. where r = 2inches, h = 11
= [tex]\frac{1}{3}[/tex] x [tex]2^{2}[/tex] x [tex]\frac{22}{7}[/tex] x 11 = 46.1 cubic inches
3. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 8, h = 12
= [tex]\frac{22}{7}[/tex] x [tex]8^{2}[/tex] x 12 = 2413.71 cubic inches
4. volume of cone = [tex]\frac{1}{3}[/tex] x π [tex]r^{2}[/tex]h. where r = 4, h = 14
= [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]4^{2}[/tex] x 14 = 234.67 cubic millimeter
5. volume of cone = [tex]\frac{1}{3}[/tex] x π [tex]r^{2}[/tex]h. where r = 5, h = 13
= [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex] x 13 = 340.48 cubic yards
6. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 3, h = 4
= [tex]\frac{22}{7}[/tex] x [tex]3^{2}[/tex] x 4 = 113.14 cubic feet
7. volume of cone = [tex]\frac{1}{3}[/tex] x π [tex]r^{2}[/tex]h. r = 6, h = 14
= [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]6^{2}[/tex] x 14 = 528 cubic centimeter
8. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 6, h = 8
= [tex]\frac{22}{7}[/tex] x [tex]6^{2}[/tex] x 8 = 905.14 cubic centimeter
9. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 1.5, h = 4
= [tex]\frac{22}{7}[/tex] x [tex]1.5^{2}[/tex] x 4 = 56.57 cubic feet
In conclusion, the volume of cylinders and cones for the given dimensions are:
1. 226.29 cubic yard
2. 46.1 cubic inches
3. 2413.71 cubic inches
4. 234.67 cubic millimeter
5. 340.48 cubic yards
6. 113.14 cubic feet
7. 528 cubic centimeter
8. 905.14 cubic centimeter
9. 56.57 cubic feet
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Which equation represents the line that is parallel to y = -3 and passes through (-1, 6)?
y = __
Answers
Answer:
Step-by-step explanation:
We'll look for an equation with the form y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
A parallel line will have the same slope as the reference line, in this case it is 0, since y = -3 has no x term in it [y is independent of x]. The line we want will have the form y=b, since m is 0. Put the given point, (-1,6) into this equation to find b:
y=b
6=b
The equation of a line parallel to y=-3 is y=6.
See attached plot.
A website advertises 85 video games for $1969. How much would 160 video games cost at the same unit
price?
Answers
Answer:
$3705.60
Step-by-step explanation:
1969/85=23.16
23.16x160=3705.6
Please help will give 30 points.
Answers
Answer: I think that the answer would be B. This is what i got after doing the work
Solve for h
h - 3h - 8 = 14
H=?
Answers
Answer:
-22
Step-by-step explanation:
h-3h-8=14
-2h=14+8
-2h=22
h=-11
The initial step that must be taken before solving almost any problem is to understand what the problem is asking for us to do and what is provided to us to complete that goal. Looking at the problem statement, we can see that we are being requested to solve for h and we are provided an expression to do so. Let's begin solving the expression by combining like terms.
Combine like terms
[tex]h - 3h - 8 = 14[/tex][tex](h - 3h) - 8 = 14[/tex][tex](- 2h) - 8 = 14[/tex]Just a quick explanation on what combine like terms means, it basically just means to combine the coefficients of the numbers associated with the same variables. Like in this example we can combine h and -3h because they have have the variable h associated with them.
Add 8 to both sides
[tex](- 2h) - 8 = 14[/tex][tex](- 2h) - 8+ 8 = 14 + 8[/tex][tex]- 2h= 22[/tex]Divide both sides by -2
[tex]- 2h= 22[/tex][tex]\frac{- 2h}{-2}= \frac{22}{-2}[/tex][tex]h= \frac{22}{-2}[/tex]Simplify the expression
[tex]h= - \frac{22/2}{2/2}[/tex][tex]h= - \frac{11}{1}[/tex][tex]h= - 11[/tex]Therefore, after completing the steps above we were able to determine that the value of h is equal to -11.
0 x + 12 + x = 18
Solve ?
Answers
Answer:
x = 3
Step-by-step explanation:
2x + 12 = 18
2x = 18-12
2x = 6
x = 3
give brainliest please!
hope htis helps :)
Answer:6
Step-by-step explanation:
0x+12+x=18
0x+x=18-12
x=6
A man stands on his balcony, 140 feet above the ground. He looks at the ground, with his sight line forming an angle of
75 with the building, and sees a bus stop. The function d=140 sec 0 models the distance from the man to any object given
his angle of sight 0. How far is the bus stop from the man? Round your answer to the nearest foot.
Answers
The bus at an angle of sight of 75 degrees from the man is at a distance of 541 feet
How to determine the distance?The distance function is given as:
d = 140 sec(x)
Where x represents the angle of sight.
In this case,
x = 75
So, we have:
d = 140 sec(75)
Evaluate the product
d = 541
Hence, the bus at an angle of sight of 75 degrees from the man is at a distance of 541 feet
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Find the midpoint of the line segment
1) (-2,-4), (10,8)
Answers
Answer:
(4, 2)
Step-by-step explanation:
the midpoint of points (x1, y1) and (x2, y2) is ([tex]\frac{x_{1} + x_{2}}{2}[/tex],[tex]\frac{y_{1} + y_{2}}{2}[/tex])
plug in points (-2, -4) and (10, 8) to get ((10+(-2))/2), (8+(-4))/2) = (4, 2)
1/3x + 1 = -2 PLEASE HELP
Answers
Answer:
x = -9
Step-by-step explanation:
1/3x + 1 = -2
1/3x = -2-1
1/3x= -3
x = -3 * 3
x = -9
Hey there!
1/3x + 1 = -2
SUBTRACT 1 to BOTH SIDES
1/3x + 1 - 1 = -2 - 1
SIMPLIFY IT!
1/3x = -2 - 1
1/3x = -3
MULTIPLY 3 to BOTH SIDES
1/3x * -3 = -3 * 3
SIMPLIFY IT!
x = -3 * 3
x = -9
Therefore, your answer should be:
x = -9
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
DOES the given value make the inequalities true? x + 9 > 21, when x = 15?
Answers
Answer:
Yes.
Step-by-step explanation:
When [tex]x=15[/tex],
[tex]x+9=15+9=24 > 21[/tex].
Answer:
Yes this is true
Step-by-step explanation:
24 is greater than 21; which means this statement is always true.
pleaseeee help I really need help so baddd
Answers
Answer:
Step-by-step explanation:
Hurry help
If p is true and ~ q is false, then p -> ~ q is ____ false.
-Sometimes
-Always
-Never
Answers
Answer:
Never
Step-by-step explanation:
If p is true and ~ q is false, then p -> ~ q is ____ false
This translates to:
true -> true
So it will never be false.
A metal stud for a warrior costume is in the shape of a square pyramid. The stud does not have a base.
A square pyramid has a square base with side lengths of 2, and 4 triangular sides with a height of 3.
How much metal is needed to make the stud?
8 square units
12 square units
16 square units
24 square units
Answers
The amount of metal needed to make the metal stud for the costume is 12 unit²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the meatal stud does not have a base, hence:
Amount of metal needed = sum of area of triangular faces = 4(1/2 * 2 * 3) = 12 unit²
The amount of metal needed to make the metal stud for the costume is 12 unit²
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identify the domain of the function shown in the graph !!!
Answers
Answer:
x is all real numbers
Step-by-step explanation:
This means that the graph is continuous from negative infinity to positive infinity.
A major river flowing out of the Himalayas
Answers
Answer:
The Ganges
Step-by-step explanation:
Answer:
Ganga
Step-by-step explanation:
Ganga is the holy river of IndiaIt has risen from Himalayas.It flows throughout the Ind and falls at Sundarban inside Bay of BangalWhat is the area of the trapezoid shown? The figure is not drawn to scale.
284.31 in.²
303.75 in.²
568.62 in.²
607.5 in.2
Answers
Answer:
284.3
Step-by-step explanation:
Trapezoid Formula:
A=a+b/2*h
plug in the numbers
What does the remainder theorem conclude given that f(x)x+3 has a remainder of 11?
Answers
By the remainder theorem of polynomial division, the complete equation is f(-3) = 11
How to complete the blanks?The equation is given as:
f(x)/x + 3
Set the divisor to 0
x + 3 = 0
Solve for x
x = -3
Given that the quotient has a remainder of 11.
It means that:
f(-3) = 11
Hence, the complete equation is f(-3) = 11
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Protons have a small negative electrical charge.
True
False
Answers
Answer:
False
Step-by-step explanation:
Protons have positive charge.
Answer:
Protons have a positive charge.
Step-by-step explanation:
Ms. Stewart teaches three science classes. Her students are freshmen and
sophomores. Her student data are shown in the relative frequency table.
Which statement is false?
Answers
The statement that is false is 15% of her students are in biology, the correct option is A.
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n
List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of X_i and Y_j (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
We are given that;
The relative frequency table
Now,
This is because the relative frequency table shows that 0.15 of her students are freshmen in biology and 0.2 of her students are sophomores in biology. Therefore, the total percentage of her students in biology is 0.15 + 0.2 = 0.35, which is 35%, not 15%.
The other statements are true based on the relative frequency table.
Therefore, by the two-way table the answer will be 15% of her students are in biology.
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