50 POINTS AND BRAINLIEST!!! QUICK
3. At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
(a) Write and simplify an expression for the exact area of the sidewalk.
(b) Find the approximate area of the sidewalk. Use 3.14 to approximate π.
What is the solution to the equation 5x = 40?
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The graph illustrates a reflection of abc . What line is abc reflected across to create a'b'c'?
He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,
The measure of one angle in an octagon is 135.625 degrees.
Explanation:Let's denote the measure of one angle as x.
Since there are eight angles in an octagon,
the sum of all the angles in the octagon is 180(x) + 7(2x) = 180x + 14x = 194x.
We know that the sum of the angles in any polygon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon.
Therefore, 194x = (8-2) × 180. Solving this equation,
we find that x = 135.625. So, the measure of each angle is 135.625 degrees.
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What is the sum of the first 7 terms of the series −8+16−32+64−
Find the angle with a tangent ratio of 0.9325
Answer:
B. 43
Step-by-step explanation:
Lucy watched TV for 25 of an hour on Monday. She watched 79 of an hour on Tuesday. What day did she spend more time watching TV?
please help understand this and get it done.
Two circle are inscribed inside squares. Write a function f in terms of the radius r that represents the area of the shaded region. Leave your answer in terms of π.
f(r)=___
The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex].
The area of the shaded region is the sum of the areas of the two circles of same radius, each of them represented by the following formula:
[tex]A_{r} = \pi\cdot r^{2}[/tex] (1)
Where:
[tex]A_{r}[/tex] - Area of the circle.[tex]r[/tex] - Radius of the circle.Then, the formula for the shaded area is:
[tex]f(r) = 2\cdot A_{r}[/tex]
[tex]f(r) = 2\pi\cdot r^{2}[/tex] (2)
The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex]. [tex]\blacksquare[/tex]
RemarkThe figure is missing and the statement present mistakes. Correct statement is shown below:
Two circle are inscribed inside squares. Write a function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region. Leave your answer in terms of π.
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6.The Polygon Similarity Postulate states that two polygons are similar if and only if there is a correspondence between their angles and their sides so that all corresponding angles are and all sides are proportional. _________
7.Similar figures have the same shape but are not necessarily the same size.
True
False
8.A directed line segment partitioned with a ratio of 4:3 would be divided into how many equal parts.
4
3
7
12
9.The ratio of the length of a side of an image to the length of the corresponding side of its pre-image is called the scale factor.
True
False
10.All properties of Proportions are valid, given that there is no ______________ in the denominator of the fraction representing the ratios.
Determine whether each triangle with sides of given lengths is a right triangle. Hint: Set a2+b2=c2a2+b2=c2 If One side is equal to the other, then it's a right triangle. It sides are not equal, then it's not a right triangle. a = 6 cm b= 8 cm c = 10 cm
answers yes or no
given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)
What is the slope of the line 3x + 4y = -11?
answers:
3\4
-3\4
3
4
Final answer:
To find the slope of the line given by 3x + 4y = -11, the equation is rearranged into the slope-intercept form, yielding a slope (m) of -3/4.
Explanation:
The question asks: What is the slope of the line 3x + 4y = -11?
To find the slope of the line, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the given equation
3x + 4y = -11We isolate y on one side by first moving 3x to the right side of the equation, and then dividing everything by 4:
4y = -3x - 11y = (-3/4)x - 11/4Now, in the form of y = mx + b, it's clear that the slope (m) of the line is -3/4.
A 3500.00 $ principal earns 3% annual interest, Compounded semiannually after 20 years, what is the balance in the account
There are 20,000 owls in the wild. Every year the population decreases by 8%. How many owls will there be after 8 years?
After 8 years, there will be approximately 10,260 owls remaining in the wild. This calculation is based on an initial population of 20,000 owls decreasing by 8% annually, yielding a final population using the formula for exponential decay.
To find out how many owls will remain after 8 years, we can use the formula for exponential decay:
[tex]\[ \text{Final population} = \text{Initial population} \times (1 - \text{Rate of decrease})^{\text{Number of years}} \][/tex]
Given:
Initial population (P) = 20,000 owls
Rate of decrease (r) = 8% = 0.08
Number of years (t) = 8
Plugging in the values:
[tex]\[ \text{Final population} = 20,000 \times (1 - 0.08)^8 \][/tex]
[tex]\[ \text{Final population} = 20,000 \times (0.92)^8 \][/tex]
[tex]\[ \text{Final population} \approx 20,000 \times 0.513 \][/tex]
[tex]\[ \text{Final population} \approx 10,260 \][/tex]
So, after 8 years, there will be approximately 10,260 owls remaining in the wild.
Simplify by using radical. Rationalize denominators.
[tex] 2a^{-1/2} [/tex]
Answer:
[tex]\frac{2\sqrt a}{a}[/tex]
Step-by-step explanation:
The given equation is [tex]2a^{-1/2}[/tex]
The exponent rule: [tex]x^{-a}=\frac{1}{x^a}[/tex]
Using this rule, we get
[tex]2a^{-1/2}\\\\=\frac{2}{a^1/2}[/tex]
We can rewrite this in radical form as
[tex]\frac{2}{\sqrt a}[/tex]
Rationalize the denominator by multiplying numerator and denominator by [tex]\sqrt a[/tex]
[tex]\frac{2}{\sqrt a}\cdot \frac{\sqrt a}{\sqrt a}[/tex]
On simplifying
[tex]\frac{2\sqrt a}{a}[/tex]
Pls, answer!! I will mark the 1st person to answer correctly with work as brainliest for 20 points!
Which of the following is true about the polynomial 4x^3 - 2x? Select all that apply.
A. The polynomial has two terms.
B. The polynomial is a fourth degree polynomial with the appropriate third or fourth terminology replacement.
C. The polynomial has a leading coefficient of 3.
D. The polynomial is written in standard form.
What power do you raise a number to to get the square root of it?
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
The answer to your question is B :)
The line through (8, 0) with slope -3/4 in slope-intercept form
The perimeter of a rectangular outdoor patio is 60 ft. the length is 4 ft greater than the width. what are the dimensions of the patio? l w
The length of rectangular outdoor patio is 17 feet and the width is 13 feet.
Given that, the perimeter of a rectangular outdoor patio is 60 ft.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangular outdoor patio be x.
Then, the length is 4 ft greater than the width = x+4
Now, perimeter = 2(x+x+4)
⇒ 2(2x+4) = 60
⇒ 4x+8=60
⇒ 4x=52
⇒ x=13
Length = x+4 = 17
Therefore, the length of rectangular outdoor patio is 17 feet and the width is 13 feet.
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How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?
Can someone help me...?
an internet passcode consists of a digit followed by a letter, followed by another digit. Assuming the digits are 0-9, how many different passcode are possible?
Answer:
2600
Step-by-step explanation:
The coordinates of triangle DEF are Upper D left parenthesis 3 comma 3 right parenthesis, Upper E left parenthesis 8 comma 3 right parenthesis, and Upper F left parenthesis 5 comma 7 right parenthesis. If you translate triangle DEF 2 units right and 3 units down, what are the coordinates of Upper E'?
What is general form of equation of a circle with center at (a,b) and radius of length m?
The general form of the equation of a circle with centre at [tex]\((a, b)\)[/tex] and radius [tex]\(m\)[/tex] is: [tex]\[ x^2 + y^2 - 2ax - 2by + (a^2 + b^2 - m^2) = 0 \][/tex].
The general form of the equation of a circle is [tex]\( (x - h)^2 + (y - k)^2 = r^2 \)[/tex], where [tex]\((h, k)\)[/tex] represents the centre of the circle and [tex]\(r\)[/tex] represents the radius.
If we expand and rearrange this equation, we get [tex]\( x^2 + y^2 - 2hx - 2ky + (h^2 + k^2 - r^2) = 0 \)[/tex].
Comparing this with the given options, we see that [tex]\( h = a \), \( k = b \), and \( r = m \)[/tex].
Substituting these values into the general form, we get [tex]\( x^2 + y^2 - 2ax - 2by + (a^2 + b^2 - m^2) = 0 \)[/tex], which matches the correct option.
Complete Correct Question:
What is the general form of the equation of a circle with center at (a, b) and radius of length m?
a. x2 + y2 - 2ax - 2by + (a2 + b2 - m2) = 0.
b. x2 + y2 + 2ax + 2by + (a2 + b2 - m2) = 0.
c. x2 + y2 - 2ax - 2by + (a2 + b2 + m2) = 0.
d. x2 + y2 + 2ax + 2by + a2 + b2 = -m2.
A animal shelter has 16 puppies. If the puppies are 32% of the total dogs and cats population, how many dogs and cats are in the animal shelter?
The total number of animals in a shelter is 50 and number of cats in the shelter is 34.
Given that, a animal shelter has 16 puppies. If the puppies are 32% of the total dogs and cats population.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let x be the total number of dogs and cats are in the animal shelter.
So, 32% of x=16
⇒ 32/100 ×x=16
⇒ 0.32x=16
⇒ x=16/0.32
⇒ x=50
So, number of cats =50-16
= 34
Therefore, the total number of animals in a shelter is 50 and number of cats in the shelter is 34.
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The yearly profit of a company in thousands of dollars is given by the finction P(x) =3000+1200-6x^2 where x is the amount in thousands the company spneds on advertising. Find the amount ,x, that the company has to spend to maxamize its profit