Can someone help me solve this please ? I’m having a really hard time solving it ‍

Answers

Answer 1

The features of the triangle are summarized below:

AC = √7 + √6 AB² = AC² = 13 + 2√42, BC² = 13 + 2√42.There is 45-45-90 right triangle as BC = √2 · AB = √2 · AC. The triangle has an area of approximately 12.980 square units.

How to analyze a given triangle based on its sides

In this problem we find the case of a triangle whose three sides (AB, AC, BC) are known. First, we rationalize the expression for AC, that is, eliminate the irrational denominator by algebraic means:

AC = 1 / (√7 - √6)

AC = [1 / (√7 - √6)] · [(√7 + √6) / (√7 + √6)]

AC = (√7 + √6) / [(√7 - √6) · (√7 + √6)]

AC = (√7 + √6) / (7 - 6)

AC = √7 + √6

Second, we determine the square of each side:

AB² = (√7 + √6)²

AB² = 7 + 2√42 + 6

AB² = 13 + 2√42

AC² = (√7 + √6)

AC² = 13 + 2√42

BC² = (√14 + 2√3)²

BC² = 14 + 4√42 + 12

BC² = 26 + 4√42

BC² = 2 · (13 + 2√42)

BC² = 2 · AB² = 2 · AC²

Third, deduce the nature of the triangle:

Since BC = √2 · AB = √2 · AC, then the triangle ABC is a right triangle with internal angles 45° - 45° - 90°.

Fourth, calculate the area of the triangle by Heron's formula:

s = 0.5 · (AB + AC + BC)

s = 0.5 · (√7 + √6 + √7 + √6 + √14 + 2√3)

s = 0.5 · (2√7 + 2√6 + √14 + 2√3)

s = √7 + √6 + 0.5√14 + √3

A = √[s · (s - AB) · (s - AC) · (s - BC)]

A = √[(√7 + √6 + 0.5√14 + √3) · (√7 + √6 + 0.5√14 + √3 - √7 - √6) · (√7 + √6 + 0.5√14 + √3 - √7 - √6) · (√7 + √6 + 0.5√14 + √3 - √14 - 2√3)]

A = √[(√7 + √6 + 0.5√14 + √3) · (0.5√14 + √3) · (0.5√14 + √3) · (√7 + √6 - 0.5√14 - √3)]

A = √[8.698 · (8.698 - 5.095) · (8.698 - 5.095) · (8.698 - 7.206)]

A = √(8.698 · 3.603² · 1.492)

A ≈ 12.980

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Related Questions

pls help will give brainliest

Answers

The given point were reflected about the line y = x and the coordinates the reflected point (-5 , 3) is (3, - 5)

According to the question, given that

point reflected line y =x,

Reflected point coordinates of (-5, 3), then find the coordinates of the point after in the line of symmetry :

(-5, 3) → (3, - 5)

A reflection is referred to as a twist in geometry. A reflection is the mirror image of shape . A line, called the line of reflection, will agree an image to reflect without change it. When all of the points in a figure are evenly spaced apart from one another, the two figures are said to reflect each other. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context. ABC and A'B'C are used to represent the pre-image and image, respectively.

A reflection point is similar to staring at a flipped mirror picture of yourself.

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Evaluate u + xy, if u = 18, x = 10, and y = 8

Answers

The value of u + xy, if u = 18, x = 10, and y = 8 is 98

What are algebraic expressions?

Algebraic expressions are defined as mathematical expressions that are made up of constants, variables, coefficients, terms and factors.

These algebraic expressions are also composed of arithmetic operations, such as;

SubtractionAdditionDivisionMultiplicationParenthesesBracket, etc

Given the expression;

u + xy

Where;

u = 18x = 10y = 8

Now, substitute the values into the expression;

18 + 10(8)

expand the bracket

18 + 80

Add the values

Hence, the value is 98

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ANSWER QUICK!!!!

You use floor tiles to help you learn a new dance move. You move 2 tiles right and 3 tiles up. Then you move 1 tile left and 1 tile down. Rewrite the composition as a single translation.

Answers

The given composition as a single translation is (x,y)→(x+1,y+2) .

In the question,

two translation are given , we have to write the composition of two translation in a single translation ,

we choose arbitrary points (x,y) in the tile , and find the horizontal and vertical shift in the coordinates of point after both translations .

let A(x,y) be an arbitrary point in the tile

So , by the first translation

"move 2 tiles right and 3 tiles up" ,

after first translation, the coordinates are A'(x+2,y+3)

The second translation "you move 1 tile left and 1 tile down" , will map A'(x+2,y+3) to

A"(x+2-1 , y+3-1)

= A"(x+1 , y+2)

Therefore , the single translation rule for the composition is (x,y)→(x+1,y+2) .

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PLEASE HELP ASAP!!!!!!!!!!

Answers

Simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4)

Answers

[tex]=9x^{3} +2x^{2} -5x+4-5x^{3} +7x-4\\=9x^{3} -5x^{3} +2x^{2} -5x+7x+4-4\\=4x^{3} +2x^{2} +2x[/tex]

Be remined for the second expression affects the signs of all the terms inside the brackets.

at the end of the season, a team’s ratio of wins to losses was 3:5. if there were no ties, what percentage of its games did the team win? (show work)

A.) 33 1/3%
B.) 37 1/2%
C.) 40%
D.) 62 1/2%
E.) 75%

Answers

As per given data of end of the season , ratio of teams win to losses is 3:5 and no ties, then percentage of game win by team is equal 37 1/2%.

As given in the question,

For the given dat of end of season,

Ratio of teams win to losses is equal to 3:5

Let x be the percentage of game

As per given ratio we have,

3x+ 5x =100%

⇒ 8x = 100

⇒x =100/ 8

⇒ x= 12.5

Percentage of winning the game by team = 3x

= 3(12.5)

= 37.5%

= 37 1/2%

Therefore, for given data of end of the season , ratio of teams win to losses is 3:5 and no ties, then percentage of game win by team is equal 37 1/2%.

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15 times 3 plus 12 time 2 using a t chart

Answers

Answer:

Step-by-step explanation:

15*3=45

12*2=24

45+24= 69

Answer: 114

Step-by-step explanation:

15×3+12×2

15×3=45

45+12=57

57×2=114

Which of the following is
equivalent to the complex number
I27?

Answers

The equivalent to the complex number i²⁷ is -i.

what is complex numbers?

Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labeled I sometimes known as the imaginary unit, and satisfying the equation

i² = 1.

Given that,

i²⁷ is a complex number

i²⁷ = i²⁴⁺³

i²⁷ = i²⁴ ₓ i³

i²⁷ = i⁴⁽⁶⁾ ₓ i²⁺¹

i²⁷ = (i⁴)⁶ . i².i

Here, we know that i² = -1

so, i⁴ = (i²)²

i⁴ = 1

Hence, 1⁶(-1)(i) = -i

Therefore, the equivalent to the complex number i²⁷ is -i.

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At which ordered pair will the function f(x) = Vx - 4 + 7

Answers

The ordered pair at which the function f(x) = √(x - 4) + 7 would begin on the coordinate plane is (4, 7).

What is a graph?

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

What is an ordered pair?

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

By critically observing the graph of this function (see attachment), the ordered pair would begin at (4, 7) on the cartesian coordinate.

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Complete Question:

At which ordered pair will the function f(x) = √(x - 4) + 7 begin on the

coordinate plane?

In the figure shown, lines fand g are parallel.
Select the angle that is congruent to angle 1.

(A.) Angle 2
(B.) Angle 6
C.) Angle 7
D. Angle 8

Answers

I know the answer bc I did this already it’s a angle 2

D because their congruent

In the diagram below, KJ is congruent to LJ. If m of angle J = 98° and m of angle K = 11x+8, determine the value of x.

Answers

X=3
1. Use the given information KJ is congruent to LJ:
Given line segment KJ and line segment LJ are congruent you know their opposite side angles are also congruent
2. Find the angle measures:
Given that J= 98 you know angle K+L equals to 180-89, this is because they are congruent therefore they must equal what is left. After you divide by 2 to split the remaining amount evenly which states angle K = 41 and angle L = 41
3. Set up the equation:
Knowing angle K is 41 and given that it’s also 11x+8 you set up the following algebraic equation: 11x+8=41
4. Solve for x:
11x+8=41 | subtract 8 from both sides
11x=33 | divide by 11
X=3

Which of the following is equivalent to (2x² − y)²?

Answers

the answer to this problem is 4x^4 - 4x^2 y + y^2! I hope this helps. <3

what is the answer???????

Answers

Answer: Where P is.

Step-by-step explanation

A circle P is circumscribed about a regular hexagon ABCDEF

a. central

b. exterior

c. interior

d. inscribed

Answers

It is True to state that Arcs AB, BC, CD, DE, EF, FA in the circumscribed hexagon are all equal. See the explanation below.

What is a regular hexagon?

In geometry, a hexagon is a six-sided polygon. A regular hexagon is one in which the lengths of all the sides and the measurements of all the angles are identical. The sides of a regular hexagon are therefore equivalent.

Allow point P to be the hexagon's and circle's center.

The dimension of arc AB is the same as the measure of central angle APB, which are both 360/6 = 60 degrees. This also applies to the other arc measurements. The whole 360-degree circle is divided into six equal parts, each measuring 60 degrees.

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Full Question:

Although the question seems incomplete you may have been referring to this:

A circle P is circumscribed about a regular hexagon ABCDEF

Arcs AB, BC, CD, DE, EF, FA are all equal

Select one:

a. False

b. True

Simplify to create an equivalent expression.
\qquad{5(10k+1)+2(2+8k)}5(10k+1)+2(2+8k)5, left parenthesis, 10, k, plus, 1, right parenthesis, plus, 2, left parenthesis, 2, plus, 8, k, right parenthesis
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
66k+966k+966, k, plus, 9

(Choice B)
B
64k+964k+964, k, plus, 9

(Choice C)
C
66k+5466k+5466, k, plus, 54

(Choice D)
D
64k-964k−964, k, minus, 9

Answers

The correct answer is a

tony uses 12 4 1 and 7 to make a new number

Answers

Answer:

ishbekshbrishdhtjekdhhfjeid

A submarine to study changes in the sea level of the Pacific Ocean
descends 420 feet below sea level. 3 hours later, it makes an ascent
of 170 feet. What is the submarine's new position?

Answers

It should be 250 feet below sea level

The value of the expression is 74 - 12x

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to evaluate the expression?

The expression is given as

-3[10+4(x-2)] all subtracted from 20

When represented as an expression, we have the following mathematical representation

20 - (-3[10+4(x-2)])

Open the brackets in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 20 - (-30+12(x-2)])

Open the brackets in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 20 - (-30 + 12x - 24)

Open the last brackets in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 20 + 30 - 12x + 24

Evaluate the like terms in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 74 - 12x

Hence, the equivalent expression of the expression "-3[10+4(x-2)] all subtracted from 20" is 74 - 12x

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In a cinema there are 28 rows and in each row is 22 seats Each ticket coast 8.10 work out an estimate for the total income from the ticket sales

Answers

As there are 28 rows and in each row has 22 seats, then, the estimate of the total income from the ticket sales equals to $4,989.60.

What is known as total income?

In a general sense, a total income means the gross income from all sources less certain deductions such as expenses, allowances and reliefs. But in the question context, it means the revenue, which is the total amount of income generated by the sale of goods and offering of services related to the primary operations of the business.

Given data

Cinema have 28 rows

Cinema have 22 seats per row

Each ticket cost 8.10

Total Income = $8,10 * 28 rows * 22 seats

Total Income = $4989.60

Answers

The area of the trapezoid is given as 100. See the explanation for the same below.

What is a Trapezoid?

A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.

To find the length of each side of the trapezoid, you need to use the distance formula.

AB = (-1,5) and (3,2)

BC = (3,2) and (0,-2)

CD = (0,-2) and (-13, -11)

AD or DA = (-1,5) and(-13, -11)

Now, just use the distance formula for each line.

The Distance Formula is given as: d=√((x2 – x1)² + (y2 – y1)²).

Distance AB = √((3 – (-1))² + (2 – 5)²).
= √(4)² + (-3)²
= √(16+9)
= √25
AB = 5

lets us repeat this for the other section we will get:

Doing so gives us for all the points:

AB = 5

BC = 5

CD = 15.811388300842

DA or AD = 20

Note that:

The height is AD, the first base is AB and the second base is BC. We can plug the values for these sides into the trapezoid area formula, which is:

A = (base 1 + base 2) / 2 x height.

A = (5+5)/2 x 20

A = 5 x 20

A = 100.

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PLEASEEEE HELP LE OUT!!!

The steps a student preformed to solve the equation 7h - ( 3h - 5) = 2(h - 7 ) are shown below. Explain each step the student preformed to solve the equation

Answers

Answer:

[tex]{ \sf{7h - (3h - 5) = 2(h - 7)}} \\ \\ { \sf{7h - 3h + 5 = 2h - 14}}[/tex]

[distributive property open brackets ]

[tex]{ \sf{4h + 5 = 2h - 14}}[/tex]

[simplification of either sides]

[tex]{ \sf{4h - 2h = - 14 - 5}}[/tex]

[operating similar terms]

[tex]{ \sf{2h = - 19}} \\ [/tex]

[simplification]

[tex]{ \sf{h = \frac{ - 19}{2} }}[/tex]

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