A solar dish collects energy by directing radiation from the Sun to a receiver located at the focal point of the dish. Assume that the radiation rays are parallel. Determine the relationship between pair of angles, and explain your reasoning.

∠3 and ∠ 4

Answer:

∠ADB= 360-90

--------------------------

hope it helps...

have a great day!!

Answer:

To solve the problem using unit rates, we can first find Lila's rate of phone calls per minute, which is given by:

rate = number of phone calls / time spent on the phone

Using the values given in the problem, we get:

rate = 24 phone calls / 72 minutes

rate = 1/3 phone calls per minute

This means that Lila routes 1/3 phone call per minute.

To find how many phone calls Lila needs to route to spend a total of 90 minutes on the phone, we can use the same rate and the formula:

number of phone calls = rate x time

Substituting the values, we get:

number of phone calls = (1/3 phone calls per minute) x (90 minutes)

number of phone calls = 30 phone calls

Therefore, Lila needs to route a total of 30 phone calls to spend a total of 90 minutes on the phone.

When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

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Answer:

Property of Symmetry

Step-by-step explanation:

The symmetric property of equality tells us that both sides of an equal sign are equal no matter which side of the equal sign they are on. Remember it states that if x = y, then y = x.

Answer:

perpendicular gradient = \(\frac{1}{3}\)

Explanation:

In parallel, the gradient is same. m1 = m2

using formula: m1 * m2 = -1

         solve:

Answer:

bicep circumference is a measurement of our body part we need to collect all our so we know our body fats.

Answer:

I have 12 baskets if I have one-third of them

Given

Mike took a taxi from home to Airport. The taxi driver charged $6 as initial fees and $3 per mile and the total fare is $24.

Required

we need to find total number of miles he covered on this ride.

Explanation

Let total number of miles he travelled be x

Then total fare =6+3x

i.e

So total number of miles covered is 6 miles.

The approximation range for the square root of 3 provided by Archimedes is quite good. The decimal value falls within the given range, demonstrating its accuracy.

What is Pi?

The reciprocal of the ratio of a circle's circumference to its diameter is known as pi (), a mathematical constant. Because it is irrational, it cannot be written as a fraction or a finite decimal. Pi has a value of roughly 3.14159, however it goes on forever without repeating any decimals.

To approximate the value of pi based on the inscribed figures, we can use the perimeter of the regular polygons as an approximation for the circumference of the unit circle.

Starting with a regular hexagon, we know its perimeter is 6. This is an approximation for the circle's circumference, 2 pi. Therefore, we can say that pi ≈ 6/2 = 3.

To calculate the perimeters of the subsequent inscribed polygons, we can double the number of sides each time. Let's go through the doubling process:

Hexagon: Perimeter = 6

Dodecagon (12-gon): Perimeter = 12

24-gon: Perimeter = 24

48-gon: Perimeter = 48

96-gon: Perimeter = 96

192-gon: Perimeter = 192

384-gon: Perimeter = 384

768-gon: Perimeter = 768

Now, we can use the formula for the perimeter of a regular polygon inscribed in a unit circle, which is given by:

Perimeter ≈ 2 * n * sin(π/n)

where n is the number of sides of the polygon.

Using this formula, we can calculate the approximate value of pi for each polygon:

Hexagon: pi ≈ 6/2 = 3.00 (as given)

Dodecagon: pi ≈ 12/(2 * sin(π/12)) ≈ 3.10582854123

24-gon: pi ≈ 24/(2 * sin(π/24)) ≈ 3.13262861328

48-gon: pi ≈ 48/(2 * sin(π/48)) ≈ 3.13935020305

96-gon: pi ≈ 96/(2 * sin(π/96)) ≈ 3.14103195089

192-gon: pi ≈ 192/(2 * sin(π/192)) ≈ 3.14145247229

384-gon: pi ≈ 384/(2 * sin(π/384)) ≈ 3.14155760791

768-gon: pi ≈ 768/(2 * sin(π/768)) ≈ 3.14158389215

As the number of sides increases, the approximation of pi becomes more accurate. The value of pi based on the inscribed 768-gon is approximately 3.14158389215.

Regarding Archimedes' approximation of the square root of 3, let's evaluate the range mentioned:

265/153 < √3 < 1351/780

To determine how good this approximation is as a decimal, we can calculate the actual value of the square root of 3 and compare it to the given range:

√3 ≈ 1.73205080757

Comparing this value to the range, we can see:

265/153 ≈ 1.73202614379

1351/780 ≈ 1.73205128205

Hence, the approximation range for the square root of 3 provided by Archimedes is quite good. The decimal value falls within the given range, demonstrating its accuracy.

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By using Python, you will come up with your own challenging algorithm for other students to trace.

If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.

The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.

These conditional statements are available in Python:

If you want a block of code to run only if a certain condition is true, use the if statement.

If the same expression is false, use instead that to provide a set of instructions that should be run.

If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.

To choose which of the several program code should be performed, use the switch.

How to write the code?

num = 100

if num < 20:

print('Less than 20')

if num < 30:

print('Less than 30')

if num < 40:

print('Less than 40')

if num < 50:

print('Less than 50')

if num > 100 or num == 100:

print('More than or equal to 100')

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The description of the cosine function is \(\mathrm{f(x) = -10 \cos( \frac{2\pi}{3}) x + 10}\).

A cosine function's general form is given by:

\(\mathrm{f(x) = A \times cos(Bx + C)) + D}\)

where:

A stand for amplitude, or the ratio of the maximum to the minimum value.

B = 2π / period

C stands for horizontal phase shift.

(Midpoint between the Maximum and Minimum Values) D = Vertical Shift

We can determine the parameters for the specified function given the information given:

Period = 3 (This means B = 2π / 3)

Maximum value = 20

This means the amplitude A is half of this, so A = 20 / 2 = 10

Minimum value = 0

This means the vertical shift D is half of the difference between the maximum and minimum.

So, D = (20 - 0) / 2

= 10

The amplitude is negative because the function is a mirror of its parent function over the x-axis, hence A = -10.

Putting it all together, the function is:

\(\mathrm{f(x) = -10 \cos( \frac{2\pi}{3}) x + 10}\)

Hence the final expression after the transformation is \(\mathrm{f(x) = -10 \cos( \frac{2\pi}{3}) x + 10}\).

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Here it is

.,.,.,.,..,.,.,.

Answer:

hjd

Step-by-step explanation:

Answer:

A:53

B:90

C:143

Step-by-step explanation:

The measure of angles A, B, and C for the given parallel lines will be 53°,90°, and 143° corresponding.

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

As per the parallel lines m and n.

The adjacent angle of B = 37° (corresponding angle same)

m∠B = 180° - (53° + 37°) = 90°

m∠A = 53° (corresponding angle same)

m∠C = 180° - 37° = 143°

Hence "The measure of angles A, B, and C for the given parallel lines will be 53°,90°, and 143° corresponding".

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Answer:

multiply it so you can get 90

Step-by-step explanation:

your going to multiply 0.75 times 15 or you can divied it to it is b

if you think im wrong press the heart

Answer:

Step-by-step explanation:

1)

2)

Answer:

h(t) = -16t2

h(2) = -16*2*2 = -64

.

.

.

\({\bold{\red{HOPE\:IT\:HELPS!}}}\)

\(\color{yellow}\boxed{\colorbox{black}{MARK\: BRAINLIEST!❤}}\)

Answer:

-64

Step-by-step explanation:

If we have h(t) as -16t2 and we are told to find h(2) then we substitute t with 2.

h(2)=-16×2×2

= -64

hope this helps.

Jessica made her first error in step 2.

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given 1, √(a+4) = 7

step 1 ⇒ square both sides

√(a+4)² = 7²

Step 2 ⇒ simplify

a + 4 = 49 but Jessica wrote 14 instant of 49.

Hence "Jessica made her first error in step 2".

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Answer:

200

Step-by-step explanation:

Answer:

1. 24p + 18

Step-by-step explanation:

One of the formulas used to find the perimeter of a rectangle is:

P = 2(l + w)

Where P is the perimeter, l is the length, and w is the width. We can substitute in the given values:

P = 2[(4p + 4) + (8p + 5)]

Now we can combine the like terms:

P = 2[12p + 9]

And simplify:

P = 24p + 18

This is the same as option 1.

we need 27 ounces of the 11% alcohol solution and 9 ounces of the 23% alcohol solution to obtain 36 ounces of a 14% solution.

Let x be the number of ounces of the 11% alcohol solution, and y be the number of ounces of the 23% alcohol solution. Then we have:

x + y = 36 (total amount of solution)

0.11x + 0.23y = 0.14(36) (total amount of alcohol)

Simplifying the second equation, we get:

0.11x + 0.23y = 5.04

Multiplying the first equation by 0.11 and subtracting from the second equation, we get:

0.12y = 1.08

y = 9

Substituting y = 9 into the first equation, we get:

x + 9 = 36

x = 27

what is numbers?

In mathematics, numbers are abstract concepts used for counting, measuring, and comparing quantities. There are several types of numbers, including natural numbers, integers, rational numbers, irrational numbers, and real numbers. Numbers are used in various mathematical operations, such as addition, subtraction, multiplication, and division, and are a fundamental concept in mathematics.

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Step-by-step explanation:

12 - 6.78 = 5.22 gallons

so, there were still 5.22 gallons in the tank.

Answer: EZ BRUH

Step-by-step explanation:here's da answer 210

Answer:

All real numbers

Step-by-step explanation:

1.) Distribute the 5 on the left side of the equation

5x-45+3= 5x-42

2.) Add the -45 and 3

5x-42=5x-42

3.) Add -42 to one side

5x=5x

4.) Subtract 5x

0x=0

All real numbers

There is no success probability for which the first success is most likely to occur on the fourth attempt.

Assuming the success probability of an experiment is p and the number of trials until the first success occurs is denoted by X, X follows a geometric distribution with the probability mass function P(X=k) = (1-p)^(k-1) * p, where k is the number of trials until the first success occurs.

Given that the first success occurs on the 4th attempt, P(X=4) is maximum when p is maximum. To find the value of p, we need to maximize the function P(X=4), which can be represented by (1 - p)^(3) * p.

Differentiating this function with respect to p, we get d[P(X=4)]/dp = -3(1 - p)^(2) * p + (1 - p)^(3).

Equating the above equation to zero, we get -3(1 - p)^(2) * p + (1 - p)^(3) = 0, which further leads to (1 - p)^(2)[(1 - p) + 3p] = 0 and (1 - p)^(2)(1 + 2p) = 0.

Since (1 - p)^(2) > 0, the solution is given by: 1 + 2p = 0, which results in p = -1/2.

However, the probability of success cannot be negative. Therefore, p cannot be equal to -1/2. Hence, there is no success probability for which the first success is most likely to occur on the fourth attempt.

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Answer:

7

Step-by-step explanation:

Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal

9x-34=4x+1

-1 on both sides

9x-35=4x

-9x on both sides

-35=-5x

x=7

Answer: A and B

-3^4 = -3 × -3 × -3 × -3 = 81

When dealing with multiplying all negative numbers, the result is going to be positive.

-3^2 = -3 × -3 = 9

Step-by-step explanation:

Divide

81/9 = 9

Find an equivalent expression whose product is |+9|

(-3)^2 = -3 × -3 = 9

(-3)^4 = -3 × -3 × -3 × -3 = 81

81/9 = 9

A is correct, so we must find the next correct answer.

(-3)^6 = -3 × -3 × -3 × -3 × -3 × -3 = 729

(-3)^4 = -3 × -3 × -3 × -3 = 81

729/81 = 9

B is correct. Thus,

\(\frac{(-3)^4}{(-3)^2} = B)\frac{(-3)^6}{(-3)^4} = A)\frac{(-3)^2}{(-3)^4}\)

Hope this helps, and have a great day.

  The point that divides a line segment into two equal halves is known as the midway.

    We can use a formula that incorporates some of the slope of the line segment to get the point P that partitions the line segment suitably given a line segment AB and a partitioning ratio a/b. P is thus defined as (x1 + c(x2 - x1), y1 + c(y2 - y1)).

  P(x1, y1) and Q are two things to consider (x2, y2). Finding the coordinates of the point R that divides PQ in the ratio m: n is necessary because PR/RQ = m/n. Given the ratio, the point R can either be outside of the segment PQ or between P and Q.

      Two points on a line, for instance, equal one line segment; three points, three segments; five points, ten segments.

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To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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The integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.

To determine the values of p for which the integral ∫10x^p * ln(x) dx converges, we need to consider the convergence of the integrand for different values of p. The integral will converge if the integrand is well-behaved and does not exhibit any divergence.

Let's analyze the integrand in two separate cases:

Case 1: p ≠ -1

When p ≠ -1, the integrand is well-defined for all x > 0. We can proceed with evaluating the integral.

∫10x^p * ln(x) dx = [x^(p+1) * ln(x)] / (p+1) + C

To calculate the value of the integral for a specific value of p, we can substitute the limits of integration into the antiderivative expression and evaluate the resulting expression.

Case 2: p = -1

When p = -1, the integrand becomes 10x^(-1) * ln(x), which poses a potential issue at x = 0. To determine if the integral converges for this case, we need to examine the behavior of the integrand near x = 0.

As x approaches 0, the expression ln(x) approaches negative infinity, which would cause the integrand to diverge. Therefore, for p = -1, the integral does not converge.

In summary, the integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.

Please note that when evaluating the definite integral for specific limits of integration, you should substitute the limits into the antiderivative expression and then calculate the difference of the resulting expressions evaluated at the upper and lower limits.

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