how many gallons will daniel need? help please thank you

Therefore , the value of the given problem of trigonometry comes out to be  x = 2 √3.

Trigonometry is the branch of mathematics that studies the relationship between triangle side length The field was first developed in the Classical era, most likely in the third century BC, as a product of the fusion of geometry and astronomy research. Certain geometric equations and potential applications to calculations are covered in precise methods to mathematics. In trigonometry, there are six typical trigonometric operations. Sine, quadrature, tangent, secant, etc. are some of the names and acronyms that they go by (csc). Trigonometry is the study of triangle properties, particularly those of right triangles. However, understanding about the properties of all polygons is a necessary part of mastering geometry.

Here,

Given : Let x be the given

2 is the base

Using trigonometric ratio comes out to be :

=> Tan 30 = 2/x

=> 1/√3 = 2/x

=> x = 2 √3

Therefore , the value of the given problem of trigonometric comes out to be  x = 2 √3.

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Answer is :

0.00175 km

the tangent of the angle, which we can then use to calculate the angle in degrees. Therefore, angle = tan-1(6/13) = 65.2 degrees.

b. 65.2

To find the measure of the angle, we need to use the inverse tangent (tan-1) function.

angle = tan-1(6/13)

angle = 65.2

We need to use the inverse tangent (tan-1) function to calculate the measure of the angle. To do this, we need to divide the height of the pole (6 meters) by the length of the ribbon (13 meters). This will give us the tangent of the angle, which we can then use to calculate the angle in degrees. Therefore, angle = tan-1(6/13) = 65.2 degrees.

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Answer:

D. 60

Step-by-step explanation:

Not yellow marbles are 15/25 = 60/100

Answer:

b = 8,3

Step-by-step explanation:

b + (-8,3) = 0

b - 8,3 = 0

b = 8,3

The equation of comet's orbit is  [tex]\frac{(y-4)^2}{36} + \frac{x^2}{64}[/tex] =1

A hyperbola is a geometric shape made up of two branches that are symmetric about a center point and asymptotic to two lines called the asymptotes. It is defined by the equation (x^2/a^2) - (y^2/b^2) = 1. It is a type of conic section, similar to a parabola and an ellipse.

If the vertices and foci's of hyperbola have specified coordinates are of the form (0,10) and (0,14)

then

The y-axis serves as the transverse axis.

so

The formula for the equation is:

(y-k)^2/a^2-(x-h)^2/b^2=1

In this issue

The value of the center (h,k) is (0,4)

It follows that (0,a-k)) = (0,10)

a=10-4=6

(0,c-k) equals (0,14)

c=14-4=10

Identify b's value.

b^2=c^2-a^2

b^2=10^2-6^2

b^2=64

therefore

The formula reads as follows:

[tex]\frac{(y-4)^2}{36} + \frac{x^2}{64}[/tex] =1

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Answer:

x= -9.17

Step-by-step explanation:

To solve for x, we can use the information provided about the rectangle to set up an equation. Since opposite sides of a rectangle are congruent (have the same length), we know that MO = NP.

Therefore, we can set up the equation:

-6x + 10 = 65

To solve for x, we can subtract 10 from both sides:

-6x = 55

And then divide both sides by -6:

x = -9.17

What is the likelihood that for at least a single two numbers is 1 if they are randomly selected from the range of 1, 2, 3, 4, 5, and 6? To remove one from the chance that no choices for 1 are made:

How do probability and an example work?

The likelihood of success is a measure of probability. the number of potential outcomes. For instance, the chance of tossing a coin & obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail).

We denote this with P(heads)

12 P(at least 1 one) = 1 - P. (no ones)

P(no ones) equals (5/6)*(5/6)

25/36 P(at least 1 one) equals (1 - 25/36)

11/36 P(sum higher than product) equals P(at least 1 one) = 11/36

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Answer:

The area is 254.34 [tex]yds^{2}[/tex]

The circumference is 56.52 yards.

Step-by-step explanation:

a = [tex]\pi r^{2}[/tex]

a = (3.14) ([tex]9^{2}[/tex])

a = 3.14(81)

a = 254.34

The area is 254.34 [tex]yds^{2}[/tex]

c = 2[tex]\pi[/tex]r

c = 2(3.14)(9)

c = 56.52

The circumference is 56.52 yards.

A triangle is a three-edged polygon with three vertices. The length of QS is equal to 17 units.

How do triangles work?

A triangle is a polygon having three vertices and three edges. It is a fundamental geometric figure. A triangle's total angles are always equal to 180 degrees.

Given that the line segment RQ is bisected at point T by the perpendicular bisector Line l. As a result, RT = QT is the length of the two lines.

Now, in ΔRST and ΔQST,

RT ≅ QT

ST ≅ ST {Common side}

Now, since the two triangles are the right-angled triangle, therefore, the two triangles are congruent. Thus, we can write,

RS = SQ

Given that the Line segment, RS is 3x+2. Line segment SQ is 5x-8.

RS = SQ

3x + 2 = 5x - 8

2 + 8 = 5x - 3x

10 = 2x

x = 5

QS = 5x - 8

    = 5(5) - 8

    = 25 - 8

    = 17 units

Hence, the length of QS is equal to 17 units.

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Answer: the midpoint

Step-by-step explanation:

All of the statements are true.

hope this helps.

Therefore , the solution of the given problem of combination comes out to be 945 ways to pick an distinct integer.

Combinations are mathematical procedures that count the number of possible configurations from a set of items, where the selection direction is immaterial. You can select any arrangement of the parts in any combination. It's possible to mix together combinations and permutations.

Here,

Given:

We have 10 options for each if we take any figure between 1 and 100 , call it x. From there, we may select any number among x+1 and x+10.

For instance, if you select 91, you can choose from 9 other numbers 

Similarly, 93 offers us 8 options, 94 offers us 7, and so on until 99 offers us just one.

In light of this,

=>(90*10)+9+8+7++1=945 =10C2 - 9C2

​

Therefore , the solution of the given problem of combination comes out to be 945 ways to pick an distinct integer.

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10/√3 is the length of side x in simplest radical form with a rational denominator.

The fundamentals of radical form are simple. When a number or algebraic expression is under a radical, the term refers to that form of the expression. To improve that, we can manipulate a number or an algebraic expression in radical form to convert it to simplest radical form.

Simply put, simplifying a radical eliminate any need to find more square roots, cube roots & fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.

The triangle is a right triangle, therefore we will apply trigonometry

To obtain the value of X which is the hypotenuse :

We know that

Cosθ = adjacent / hypotenuse

Cos 30 = 5 / X

√3/2 = 5 / X

√3 / 2 × X = 5

X = 5 ÷ √3 / 2

X = 5 × 2 / √3

X = 10/√3

Thus, 10/√3 is the length of side xx in simplest radical form with a rational denominator.

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Answer:

the black graph is the graph of

y = f(x). Choose the equation for the

red graph.

1

1

a.

b.

c.

d.

y = f(x+3)

y = f(x-3)

y + 3 = f(x)

y-3=f(x)

x = 2 is the solution to the equation 5x - 2 = 8.

What is the logarithm?

A logarithm is a power to which a number must be raised in order to get some other number. For example, the base ten logarithms of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.

The change of base formula for logarithms allows us to change the base of a logarithm without changing the value of the logarithm.

The formula is: logb(x) = (logc(x)) / (logc(b))

To solve 5x - 2 = 8 using the change of base formula, we will first bring the equation to one side and get 2 = 5x - 8.

Then we will add 8 to both sides of the equation to get 2 + 8 = 5x, which gives us 10 = 5x.

Finally, we will divide both sides of the equation by 5 to get x = 2.

x = 2

Therefore, x = 2 is the solution to the equation 5x - 2 = 8.

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The convergence set of the given power series is the set of all values of x in the interval (-|x-7|, |x-7|).

In order to determine the convergence set of the given power series, we can use the ratio test.

The ratio test states that if the limit as n goes to infinity of the absolute value of aₙ₊₁ / aₙ is less than 1, then the series converges for all x in the interval (-R, R) where R is the reciprocal of the limit.

The given power series is:

sigma n = 1 to infinity (17/ (n² + 5n))×(x - 7)ⁿ

We can apply the ratio test as follows:

aₙ₊₁ / aₙ = |(17/(n+1)² + 5(n+1))×(x - 7)⁽ⁿ⁺¹⁾ | / |(17/ (n² + 5n))×(x - 7)ⁿ|

aₙ₊₁ / aₙ = |(17/(n+1)² + 5(n+1))/(n² + 5n) × |(x - 7)|⁽ⁿ⁺¹⁾ | / |(x - 7)|ⁿ

As we can see the limit as n goes to infinity of the absolute value of

aₙ₊₁ / aₙ = |(x - 7)|

Let R = |x - 7|, therefore, the series converges for all x in the interval (-R, R)

So the series converges for all values of x in the interval (-|x-7|, |x-7|).

--The given question is incomplete, answering to the question below--

"Determine the convergence set of the given power series.

sigma n = 1 to infinity ( 17/ (n² + 5n))×(x - 7)ⁿ"

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The triangles are similar because all the pairs of corresponding angles are congruent.  Therefore, the answer is D.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

In a simpler term, similar triangle have the same shape but the sizes might varies.

Therefore,  Let's check if ΔACB is similar to ΔDCE.

If two triangles have two of their angles equal, the triangles are similar.

Hence,

m∠A = 55 degrees

m∠E = 35 degrees

Therefore, using sum of angles of a triangle is 180 degrees,

∠ACE = ∠DCE =  90 degrees

m∠B = 35 degrees

Therefore,

m∠B = m∠E

∠ACE = ∠DCE =  90 degrees

Finally, the triangles are similar because al pairs of corresponding angles are congruent.

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Answer:

Below

Step-by-step explanation:

A line with a slope of 0 is a HORIZONTAL line

 to include the point (-6,4)   the equation would just be

      y = 4

The solution of the equation 2x + y = 10 is B. x = 5, y = 0.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x, y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, A linear equation 2x + y = 10.

To find the solution we can put the solutions given in the options.

Let, x = 2, y = 3.

So, 2x + y = 10.

4 + 3 ≠ 10.

Let,

x = 7, y = - 2.

14 - 2 ≠ 10.

let,

x = 3, y = 3.

6 + 3 ≠ 10.

Let, x = 5, y = 0.

10 + 0 = 10    (satisfied).

Q.Which of the following is a solution of the equation 2x+y =10 ?

A.x=2, y =3

B.x = 5, y =0

C.x=7, y=-2

D.x= 3, y =3

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The situations that could be represented by a graph with an y-intercept of 10 is given as follows:

A. Sign up fee of $10.

B. Lilly starts with $10 in her savings account.

E. Tank begins with 10 gallons of water.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

Hence options A, B and E are the correct options as they have an initial amount of $10.

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The probability that 75% or more of the women in the sample have been on a diet is 0.944.

The probability that 75% or more of the women in the sample have been on a diet can be calculated by using the binomial formula. The formula is P(X>=x) = 1 - P(X<x). The parameters in this case are as follows: n = 267, p = 0.7, and x = 201.5 (which is 75% of 267). Therefore, the probability that 75% or more of the women in the sample have been on a diet is 1 - P(X<201.5). Solving for this probability, P(X>=201.5) is 0.944. Therefore, the probability that 75% or more of the women in the sample have been on a diet is 0.944.

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Answer:

11. Slope = 1, y-int = (0, -3)

Step-by-step explanation:

Move the numbers so that they math the formula y=mx+b, m being the slope, and b being the y intercept. If for example its 2y, divide the entire equation by 2. Basically you separate "y" on one side, and whatever is next to the x is your slope.

Two examples below:

The number of ways of dealing a five-card hand from a regular 52-card deck, such that the hand contains at least one card in each suit is 2,593,812

What is the combination?

In simple words, combination involves the selection of objects or things out of a larger group where order doesn't matter. The formula for combination helps to find the number of possible combinations that can be obtained by taking a subset of items from a larger set.

In order to find the number of ways of dealing with a five-card hand from a regular 52-card deck, such that the hand contains at least one card in each suit, we can use the combination formula.

The combination formula is used to find the number of ways to select a certain number of items from a larger group without regard to order.

First, we need to find the total number of ways to select 5 cards from a 52-card deck.

This is given by the combination formula: nCr = n! / (r!(n-r)!)

Where n is the total number of items (52) and r is the number of items to be selected (5).

So, nCr = 52! / (5!47!) = 2, 598, 960

Now we need to subtract the number of ways to select a hand that doesn't contain at least one card of each suit.

We can select 4 cards from one suit and only one card from another suit in 4C1 * 48C4 ways = 448454239/24 = 5148.

Now we can subtract this number from the total number of ways to select 5 cards from a 52-card deck to find the number of ways to select a five-card hand that contains at least one card in each suit:

2598960 - 5148 = 2,593,812

Hence, the number of ways of dealing a five-card hand from a regular 52-card deck, such that the hand contains at least one card in each suit is 2,593,812

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A zero solution, also known as the trivial solution, refers to a solution of a system of equations in which all variables are equal to zero.

This type of solution occurs when the coefficients in the system of equations are set up in such a way that the only solution to the system is for all the variables to be equal to zero.

A zero solution is the answer to a system of equations where all the variables are equal to zero. This happens when the coefficients in the equations are set up such that the only solution is for all the variables to be equal to zero. This type of solution is also known as the trivial solution. A trivial solution can be thought of as a “placeholder” for when there is no other meaningful solution to a system of equations.

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Heritability is typically divided into two categories, namely broad sense and narrow sense heritability.

The following formulas are used to calculate heritability in the broad sense:

H² = Vg / Vp

Where,

H² = Heredity

Vg = Genotypic Variance

Vp = Phenotypic Variance

FOR BACK FAT:

Vg = 13.7

Vp = 28.9

H² = Vg / Vp

H² = 13.7 / 28.9

H² = 0.474

FOR BODY LENGTH:

Vg = 27.2

Vp = 49.1

H² = Vg / Vp

H² = 27.2 / 49.1

H² = 0.553

These formulas are used to calculate narrow sense heredity:

H² = Vg / Vp

Where,

H² = Heredity

Vg = Genotypic Variance

Va = Additive Genetic Difference

FOR BACK FAT:

Vp = 28.9

Va = 7.98

H² = Va / Vp

H² = 7.98 / 28.9

H² = 0.276

FOR BODY LENGTH:

Vp = 49.1

Va = 12.4

H² = Va / Vp

H² = 12.4 / 49.1

H² = 0.252

Because back fat has a high narrow sense of heredity and a low broad sense of heritability, it is the best pick. Additionally, heritability in the restricted sense has good breeding value.

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It is proved that 1) AB = AC, 2) angle B = angle C fo the given triangles.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Here in Delta ADB and Delta ADC.

i) Three pair of equal parts are:

AD = AD ( common side )

BD = CD ( as d is the mid point of BC)

AB = AC (given in the question)

ii) Now,

by SSS Concurrency rule,

Delta ADB\cong \Delta ADC

iii) As both triangles are congruent to each other we can compare them and say

angle B = angle C.

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Complete question:

In figure AB=AC and D is the mid point of BC state the 3 pairs of equal parts in

Triangle ADB and triangle ADC

is ADB= ADC? give reason

is <B = <C? why?

PLEASE ANSWERRR ASAP​

As per the given measurement , the area of the paper on the bottom of the cage 2736 square inches.

The formula to calculate the volume of the prism is written as

V = l x w x h

Where l refers the length , w refers the width and h refers the height.

Here we have know that the height of 24 inches and a volume of 6,480 cubic inches.

Now we have to apply the values on the formula in order to get the width of the cage,

=> 6480 = w x 24 x 12

=> w = 6480/288

=> W = 22.5

Therefore, the area of the bottom of the cage is calculated as,

=> A = 2[(24 x 22.5) + (24 x 12) + (22.5 x 24)]

When we simplify this one then we get the value of the area as,

=> A = 2736 square inches.

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Formula is an act or rule that uses mathematical symbols.

Equations, equalities, identities and inequalities are a few examples of formula.

An equation, also known as an equality, formula, or identity, is a mathematical phrase that states that two or more quantities are equal to one another.

A declaration of the mathematical equivalence of two quantities. The similarity A=B signifies that "A is equal to B."

A mathematical relationship that equalizes one quantity to another is known as an identity (which may initially appear to be different).

A proof in mathematics that one quantity is bigger or smaller than another A>b is used to indicate "A is bigger than B," whereas A<B is used to indicate "A is smaller than B." The symbols A<=B and A>=B stand for "A is less than or equal to" and "A is greater than or equal to B" respectively. The terms "A is much less than B" and "A is much more than B," respectively, are denoted by the symbols A<<B and A>>B.

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