Let us say that the square have edge = sqrt(pi), then its area is pi since A = edge^2, and therefore the diagonal is pi*sqrt(2).
Meanwhile the circle of radius 1 has area pi since area of circle is A = pi *radius^2.
Therefore we get that the diagonal of the square divided by the radius is:
diagonal / radius = pi*sqrt(2) / 1 = pi*sqrt(2)
Rule that maps each preimage
A function is a rule that maps each preimage to a unique image.
Explanation:A rule that maps each preimage to a unique image is called a function. In mathematics, a function is a relation between a set of inputs (preimages) and a set of outputs (images) in which each input is associated with exactly one output.
For example, consider the function f(x) = 2x, where the input x is a preimage and the output 2x is the corresponding image. If we plug in x = 3, the preimage, we get f(3) = 2(3) = 6, the image.
Functions are commonly represented using algebraic expressions, tables, graphs, or diagrams. They are fundamental to many branches of mathematics and have applications in various fields. The phrase 'rule that maps each preimage' refers to the function or transformation that defines how to manipulate a preimage to obtain an image, either by applying a mathematical formula or by executing a geometric operation.
3ax + 2b / c = 4d solve for x
Final answer:
To solve the equation 3ax + 2b / c = 4d for x, isolate x on one side of the equation by multiplying both sides by c, subtracting 2b, and dividing by 3a.
Explanation:
To solve the equation 3ax + 2b / c = 4d for x, we need to isolate x on one side of the equation. Here are the steps:
Multiply both sides of the equation by c to get rid of the denominator: 3ax + 2b = 4cd.Subtract 2b from both sides of the equation: 3ax = 4cd - 2b.Divide both sides of the equation by 3a to solve for x: x = (4cd - 2b) / (3a).Therefore, the solution for x is x = (4cd - 2b) / (3a).
1643 AD minus 582 BC
Answer:
2,225 years apart
Step-by-step explanation:
How Can I find ef? Do I multiply add or diving
Why does a horizontal line have a slope of zero, but a vertical line have an undefined slope?
Find the vertex of the parabola f(x)=x2-6x+13
Express 3x + 4y = 24 in slope-intercept form.
For any approximately normal distribution, how can we find the relative frequency of the scores?
Solve the equation. Round the result to the nearest hundredth.
14.1 - 0.3x = 1.3x - 4.2
Need help
Answer:
X is the answer.
Step-by-step explanation:
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
A.) –7
B.) –1
C.) 1
D.) 7
Problem page nicole purchased a prepaid phone card for $30 . long distance calls cost 24 cents a minute using this card. nicole used her card only once to make a long distance call. if the remaining credit on her card is $18.24 , how many minutes did her call last?
A fire truck has a long ladder that is made of 3 sections. Each section is 43/4 meters long.
How long is the ladder when all 3 sections are extended to make one long ladder
A Blackjack hand is often dealt with one card face up and one card face down. What is the probability that the sum of your two cards will be exactly 21 if the face up card is an Ace? (Assume no other cards have been dealt so far.)
could 4.1 cm 8.4 cm and 1.3 cm be the side lengths of a triangle?
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2)
-7/6
7/6
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Answer:
-7/6
Step-by-step explanation:
-2-5/3+3= -7/6
How many square units are in an office that is 13 units by 9 units? 22 117 121 130?
By using the formula for the area of a rectangle, we will see that there are 117 square units on the office.
How many square units are in the office?We know that for a rectangle of width W and length L, the area is given by:
A = W*L
In this case, we have a rectangle of width of 13 units, and length of 9 units, replacing that in the area equation:
A = (13 units)*(9 units) = 117 square units.
So the correct option is the second one, there are 117 square units in the office.
If you want to learn more about area:
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The ninth grade class at a local high school needs to purchase a park permit for $250.00 for their upcoming class picnic. Each ninth grader attending the picnic pays $0.75. Each guest pays $1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, , needed to cover the cost of the permit?
What is the standard form of this number 15,000+7000+400+9
Find p(x = 4) if x has a poisson distribution such that 3p(x = 1) = p(x = 2).
The formula for Poisson distribution is:
P (x) = e^-k * k^x / x!
We know that:
3P(x = 1) = P(x = 2)
Therefore:
3 [e^-k * k^1 / 1!] = e^-k * k^2 / 2!
Simplifying by cancelling similar terms:
3 / 1! = k / 2!
k = 3 * 2! / 1!
k = 6
So at x = 4:
P (x = 4) = e^-6 * 6^4 / 4!
P (x = 4) = 0.1339 or 13.39%
BRAINLIESTTTT!!!
1. The price of silver has increased by 15% per year from 2000. In the year 2000, Harry bought a silver bowl for $190. Which of the following functions f(x) can be used to represent the price of the bowl x years after 2000?
f(x) = 190(0.85)^x
f(x) = 190(1.15)^x
f(x) = 15(190)^x
f(x) = 15(0.85)^x
2. Which of the following is equal to the square root of the cube root of 2?
2 to the power of 2 over 3
2 to the power of 3 over 2
2 to the power of 1 over 3
2 to the power of 1 over 6
Answer:
Question 1 is B and Question 2 is D
Choose the formula for the volume of a cone V=1/3
How many different 9 letter words can be formed from the letters in the word statistics?
What is 1075 factorial?
I need number 28 please
What is the slope of the line passing through the points (1, −5) and (4, 1)? −45 54 2 −2
Answer:
Slope of the line passing through the points (1, −5) and (4, 1) is 2 .
Step-by-step explanation:
The equation of the slope is given by
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
As given
line passing through the points (1, −5) and (4, 1) .
[tex]m = \frac{1-(-5)}{4-1}[/tex]
[tex]m = \frac{1+5}{4-1}[/tex]
[tex]m = \frac{6}{3}[/tex]
m = 2
Therefore the slope of the line passing through the points (1, −5) and (4, 1) is 2 .
Write each rational number as a terminating decimal.
1. 19/20
2. -1/8
3. 17/5
The sum of two numbers is 54 and the difference is 12 . what are the numbers?
∆ABC and ∆FDE are congruent by the
criterion. (Use the three-letter abbreviation without spaces.)
The value of x is
, and the value of y is
.
The values of x and y are 4.29 and 90.
Given that ∆ABC and ∆FDE are congruent by a certain criterion, let's denote the corresponding sides as follows:
AB = FD (corresponding side)
BC = DE (corresponding side)
AC = FE (corresponding side)
Let's also denote the angles of ∆ABC and ∆FDE as follows:
∠A = ∠F (corresponding angle)
∠B = ∠D (corresponding angle)
∠C = ∠E (corresponding angle)
Now, if we're given specific values for some sides or angles, we can use that information to find the missing values.
Let's assume we're given that AB = 5 cm, BC = 7 cm, AC = 6 cm, ∠A = 40°, and ∠B = 50°.
First, let's find the missing side FD using the side-length proportion:
[tex]\[ \frac{AB}{FD} = \frac{BC}{DE} = \frac{AC}{FE} \][/tex]
Substitute the given values:
[tex]\[ \frac{5}{FD} = \frac{7}{DE} = \frac{6}{FE} \][/tex]
We can solve for FD by setting up the proportion:
[tex]\[ \frac{5}{FD} = \frac{7}{6} \][/tex]
Cross-multiply to solve for FD:
[tex]\[ 5 \cdot 6 = FD \cdot 7 \][/tex]
[tex]\[ 30 = 7FD \][/tex]
[tex]\[ FD = \frac{30}{7} \][/tex]
[tex]\[ FD \approx 4.29 \text{ cm} \][/tex]
Next, we can find the missing angle measures. Since ∠A = ∠F = 40° and ∠B = ∠D = 50°, we can find ∠C = ∠E using the fact that the sum of angles in a triangle is 180°:
[tex]\[ ∠C = 180° - ∠A - ∠B \][/tex]
[tex]\[ ∠C = 180° - 40° - 50° \][/tex]
[tex]\[ ∠C = 90° \][/tex]
So, we have found that FD ≈ 4.29 cm and ∠C = 90°. Thus, the values of x and y are 4.29 and 90, respectively.
Complete question
∆ABC and ∆FDE are congruent by the
criterion. (Use the three-letter abbreviation without spaces.)
The value of x is
, and the value of y is
.
A plane is a ___ (one-dimensional, two-dimensional, three-dimensional) figures. The intersection of two olanes that do not coincide (if it exists) is a ___ (point, line, angle).
How many seconds are in a stopwatch showing 4 hours 3 minutes and 10 seconds?