What are the steps for using a compass and straightedge to construct a square?
Drag and drop the steps in order from start to finish.

Answer:

In a right triangle,

Perpendicular² + Base² = Hypotenuse²

P² + B² = (5)² + (12)²

P² + B² = 25+144 = 169

H² = (13)² = 169

L.H.S = R.H.S

Hence it is a right triangle

Luckily, the integral is basically set up for you:

\(\displaystyle \int_{\theta=0}^{2\pi} \int_{\phi=\frac\pi4}^{\frac\pi2} \int_{\rho=2}^6 \cos(\phi) \, d\rho \, d\phi \, d\theta\)

Since the limits on every variable are constant, and we can factorize \(f(\rho,\theta,\phi) = f_1(\rho) f_2(\theta) f_3(\phi)\), we can similarly factorize the integrals. (This is a special case of Fubini's theorem, if I'm not mistaken.)

So the triple integral is equivalent to

\(\displaystyle \left(\int_0^{2\pi} d\theta\right) \left(\int_{\frac\pi4}^{\frac\pi2} \cos(\phi) \, d\phi\right) \left(\int_2^6 d\rho\right)\)

and each of these subsequent integrals are easy to compute:

\(\displaystyle \int_0^{2\pi} d\theta = \theta \bigg|_0^{2\pi} = 2\pi - 0 = 2\pi\)

\(\displaystyle \int_{\frac\pi4}^{\frac\pi2} \cos(\phi) \, d\phi = \sin(\phi) \bigg|_{\frac\pi4}^{\frac\pi2} = \sin\left(\frac\pi2\right) - \sin\left(\frac\pi4\right) = 1 - \frac1{\sqrt2} = \frac{2 - \sqrt2}2\)

\(\displaystyle \int_2^6 d\rho = \rho\bigg|_2^6 = 6 - 2 = 4\)

Taken together, the triple integral evaluates to

\(\displaystyle \int_{\theta=0}^{2\pi} \int_{\phi=\frac\pi4}^{\frac\pi2} \int_{\rho=2}^6 \cos(\phi) \, d\rho \, d\phi \, d\theta = 2\pi \times \frac{2-\sqrt2}2 \times 4 = \boxed{4\pi(2-\sqrt2)}\)

Answer:

Tan C = 15/8 or 1.875

Step-by-step explanation:

Toa= tangent is opposite over adjacent

Tan C = 15/8 or 1.875

Answer:

tanC=15/8

Step-by-step explanation:

tanC=opp/adj

tanC=15/8

//appreciate if marked me the answer for brainliest//

Answer:

202.3 ounces of real silver

Step-by-step explanation:

Another example would be like pizza. If there are 6 slices of pizza in each box, then 2 boxes of pizza would have 6 + 6 slices = 12 slices. It is 6 slices each * 2 boxes = 12 slices total. The same applies to the coin situation, for every additional coin, multiply 0.85 by the number of coins to get the total weight of real silver.

If there are 238 silver coins, then you have 238 0.85 ounces of real silver. Multiplying 238 by 0.85 to simplify gives you 202.3 ounces of real silver.

Answer:

208?

Step-by-step explanation:

im not sure if this is 100% correct but, all I did was:

238/0.85

=208

IF([Balance] >=10000, 0.015,0.035) is the correct formula if Balance field in the query is more than 10000. Else it should be 0.015.

What does TIF stand for?

What is TIF? Tax Increment Financing, or TIF, is a geographically targeted economic development tool. It captures the increase in property taxes, and sometimes other taxes, resulting from new development, and diverts that revenue to subsidize that developmen

We know that freezing point is a coligative property hence it depends on the number of solute particles present.

Covalent substances do not break up into ions, hence they do not produce many particles in solution unlike ionic substances. Hence, ionic substances have a far higher freezing point than covalent molecules.

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Answer:

= -9/15 ÷ 4/3

= -9/15×3/5

= -9/15×3/4

= 36/5

=7⅕

In order to show that △ ABC ≅ △ DEF by SAS congruence, we need the sides of triangles ABC and DEF with the angle between the respective sides.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. "" is the congruence symbol. When two figures are comparable to one another in terms of their size and shape, this is what mathematicians mean by congruence. In essence, there are four congruence principles that demonstrate if two triangles are congruent. However, locating all six dimensions is essential. As a result, the congruence of triangles can be assessed using just three of the six variables.

Congruency Requirements:

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

RHS (Right angle-Hypotenuse-Side) 

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Answer: -124/9 or -13.778

Step-explanation: You may not have any idea how to approach this problem but I can help. We are given some information about a number and asked to find out what number it is. Since we don't know what the number is, we can say that it is X (a variable).

If you double X and add 28 you get 4/9. Doubling X can be represented as 2X. If we add 28 to that, we get 2X+28. We are told we get 4/9 which means that 2X + 28 is equal to 4/9 or 2x + 28 = 4/9.

We have now built an algebraic equation for X. We can now simply solve for X.

2X + 28 = 4/9

2X + 252/9 = 4/9   Rewrite 28 as 252/9 so we have common denominators

2X = -248/9            Subtract 252/9 from both sides

X = -124/9               Divide by 2 on both sides and we get X

Whenever you are given a problem similar to this one, try to create an algebraic equation or expression that can model the problem. A variable can represent the number you are trying to find.

Hope this helps!

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

sumthing that we hate doing

Step-by-step explanation:ughhhhhhhhhh

Answer:

Step-by-step explanation:

we know that

In a  triangle

the ratio between the lengths of the two legs is equal to the tangent

so

therefore

the answer is

Option B

-------> could be the ratio

because is the value of the

Option C

------> could be the ratio

because is the value of the

Option E

-------> could be the ratio

because is the value of the

The options B, C and E giving the ratios are correct.

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Given that, a 30-60-90 right triangle, we need to find the ratio between the lengths of the two legs of the triangle,

Since, we know that,

In a right triangle, the ratio between the lengths of the two legs is equal to the tangent.

so,

Tan 30° = 1/√3

Also,

√3 / 3 = 1/√3

3/3√3 = 1/√3

Hence, the options B, C and E giving the ratios are correct.

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The length of the rectangle is 10.5 units.

What is perimeter?

Perimeter is the distance of a two-dimensional shape. It is equal to the sum of the lengths of all the sides of the shape. The perimeter is measured in units, such as centimeters, meters, feet, or inches, depending on the unit of measurement used for the dimensions of the shape.

The perimeter of a rectangle is given by the formula:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

In this case, we know that the perimeter is 34 units, and the width is 6.5 units. So we can substitute these values into the formula and solve for the length:

34 = 2l + 2(6.5)

Simplifying, we get:

34 = 2l + 13

Subtracting 13 from both sides, we get:

21 = 2l

Dividing both sides by 2, we get:

l = 10.5

So the equation to determine the length of the rectangle is:

2l + 2w = P

Substituting the known values, we get:

2l + 2(6.5) = 34

Simplifying and solving for l, we get:

2l + 13 = 34

2l = 21

l = 10.5

Therefore, the length of the rectangle is 10.5 units.

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Complete question: The perimeter of a rectangle is 34 units, its width is 6.5 units. Write an equation to determine the length (l) of the rectangle.

The inequalities which satisfy the number line shown is x>2 and x>=2.

We are given that;

The number line showing inequality

Now,

x>2 satisfies the equation by the given number line

x>=2 satisfies the equation by the given number line

x<=-3 does not satisfies the equation by the given number line

x<=-3 does not satisfies the equation by the given number line

Therefore, by the number line the answer will be x>2 and x>=2 .

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The total number of whole number between -4 and 6 are 7 that are 0,1,2,3,4,5,6.

Whole numbers are the complete set of natural numbers plus '0'. Examples include: 0, 11, 25, 36, 999, 1200, and so on. Learn more about numbers by clicking here.

Integers supplement this set of numbers because they include negatives, but otherwise follow the same rules. As a result, all whole numbers are integers (because they are all positive integers), but not all integers are whole numbers (because some are negative).

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The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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A graph of the image of the figure after a reflection across the x-axis is shown below.

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

By applying a reflection over or across the x-axis to triangle GLQ, we have;

(x, y)                →      (x, -y)

G (3, 4)             →      (3, -(4)) = G' (3, -4)

L (1, 2)                →     (1, -(2)) = L' (1, -2).

Q (4, -1)              →      (4, -(-1)) = Q' (4, 1)

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The length of base,

⇒    a = 5 feet

The given figure form a right angled triangle

And also given that,

perpendicular = 12 feet,

Hypotenuse    = 13 feet

Base                = a feet

We know that the Pythagoras theorem for a right angled triangle:

⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ 13² = 12² + a²

⇒ 169 = 144 + a²

⇒   a² = 169 - 144

          = 25

Taking square root both sides,

Hence,

⇒    a = 5 feet

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The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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If Huckleberry Finn uses offensive language, Huckleberry Finn should not be taught high school. Huckleberry Finn uses offensive language. Thus, Huckleberry Finn should not be taught in high school. The logical form of this argument is known as denying the antecedent. The Option C is correct.

If we represent the argument in logical symbols, it would look like this:

P: Huckleberry Finn uses offensive language.

Q: Huckleberry Finn should not be taught in high school.

The argument can be summarized as follows:

If P, then Q.

Not P.

Therefore, not Q.

This is the form of denying the antecedent, where the argument asserts that if P is true, then Q must also be true. However, the argument then proceeds to deny the antecedent by claiming that P is not true, and therefore, Q must not be true either.

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Answer:

62.5 km

Step-by-step explanation:

50÷4 =12.5

15 is 1/4 of 60

so then you add 50 + 12.5= 62.5

Answer:

467,800

Step-by-step explanation:

When nearing to the hundred you look at the number 6. It’s greater than 5 so the previous number 7 turns into 8 and the numbers 6 and 8 became 0.

The answer is 467,800

Answer:

The tree is 396 feets height

Step-by-step explanation:

1 m = 3.3 ft

then

12 meters to feet is:

(12)*(3.3) = 396

Answer:

Step-by-step explanation:

what is 12/21 + 18/21 + 14/21

(12 + 18 + 14)/21 =

44/21

The formula for converting from degrees Fahrenheit, is an illustration of change of subject of formula, and the formula is: \(S =\sqrt{2A}\)

Given that:

\(F(C) = 1.8C + 32\)

Rewrite as:

\(F = 1.8C + 32\)

Subtract 32 from both sides

\(F - 32 = 1.8C\)

Divide both sides by 1.8

\(\frac{F - 32}{1.8} = C\)

Rewrite as:

\(\frac{F - 32}{18/10} = C\)

So, we have:

\(10 \times \frac{F - 32}{18} = C\)

Simplify

\(5 \times \frac{F - 32}{9} = C\)

\(\frac{5(F - 32)}{9} = C\)

Rewrite the equation as:

\(C = \frac{5(F - 32)}{9}\)

Hence, the formula that converts from degrees Fahrenheit is: \(C(F) = \frac{5(F - 32)}{9}\)

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Answer:

C(F) = 5/9

&

F – 160/9

Step-by-step explanation:

There is an imbalance between males and females, with a ratio of 1.5 men to every woman in the population.

Which age structure diagram represents a population's ages the best?

Hence, there is an imbalance between males and females, with a ratio of 1.5 men to every woman in the population.

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