Solve for the area (triangle)

The equation x 5 x² 5 x³ 5, this is not a linear polynomial as the highest degree of the polynomial is 3.

A linear polynomial is a polynomial of degree one, and it is of the form ax + b. In this equation, a and b are constants, and x is the variable. In the case of the equation x 5 x² 5 x³ 5, this is not a linear polynomial as the highest degree of the polynomial is 3.

The expression x 5 X² 5 x³ 5 is not a linear polynomial. This expression is a third degree polynomial, which means that it is a polynomial with an exponent of 3 in its highest term.

The equation can be written as x + 5x² + 5x³, which is a polynomial of degree 3. To calculate the value of this equation, we can substitute any value for x and calculate the result. For example, if we substitute x = 2 the equation becomes 2 + 10 + 40 = 52. This is not a linear polynomial because it is an equation of degree 3.

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The height of the tree is 21 m.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that 1.7m tall man stands 12m from the base of a tree.

The Man views the top of the tree at an angle of elevation of 58°

We need to find the height of the tree.

tan58=x-1.7/12

1.6=x-1.7/12

1.6×12=x-1.7

19.2=x-1.7

Add 1.7 on both sides

19.2+1.7=x

20.9=x

Hence, the height of the tree is 21 m.

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Answer:

quantity supplied

Step-by-step explanation:

They are constructed like predators on the inside, though. According to a recent study, protein makes up about 50% of their daily caloric intake.

The cylinder, which is frequently a solid in three dimensions, is one of the most fundamental curved geometric forms. In simple geometry, this object is referred to as a prism with a circle as its base. A cylinder is also characterized as an infinitely curving surface in a number of modern domains of geometry and topology. The term "cylinder" refers to a three-dimensional object that has curved surfaces and circular tops and bottoms. A cylinder is a three-dimensional solid figure with two bases that are both identical circles linked by a curved surface at the height of the cylinder, which is determined by the separation of the bases from the center. Cold drink cans and the wicks on toilet paper are examples of cylinders.

given

Giant pandas have a herbivorous appearance from the outside.

They consume bamboo almost constantly while awake.

They are constructed like predators on the inside, though.

According to a recent study, protein makes up about 50% of their daily caloric intake.

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There are 10560 ways we form a subcommittee of 5 members that have at least one member from each party.

Combinations are defined as the selections made by taking some or all of a number of objects, irrespective of their arrangements.

The number of combinations of n different things taken r at a time, denoted by nCr and it is given by,

[tex]^nC_{r} =\frac{n!}{r!(n-r)!}[/tex]

where 0 ≤ r ≤ n.

The given information is committee has 8 republicans and 6 democrats.

we have to form a subcommittee of 5 members with at least one from each group.

Hence we need to select one from each and then the remaining 3 can be of any type.

No of ways =  ⁸C₁*⁶C₁*¹²C₃

                    = 48*220

No of ways=10560 ways.

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Answer:

The answer is 2721

Answer: You got this

Step-by-step explanation:

use  y2-y1/x2-x1 and find two points then get m

The point ( 3, 4) divides the given line segment formed by joining the points  ( 1,2) and ( 6,7) in the ratio of 2 :3.

As given in the question,

Given points to formed a line segment are :

(x₁ , y₁ ) = (1, 2)

( x₂ , y₂ ) =  (6, 7 )

Point that divides the given line segment is ( x , y ) = ( 3, 4 )

Standard formula to divide a line segment in the ratio m : n is given by :

( x ,y ) = [ (mx₂ + nx₁)/(m + n) ,  (my₂ + ny₁)/(m + n) ]

Substitute the value we get,

⇒ ( 3,4 ) =  [ (6m + n)/(m + n) ,  (7m + 2n)/(m + n) ]

⇒(6m + n)/(m + n)  = 3 or (7m + 2n)/(m + n) = 4

⇒ 6m + n = 3m + 3n or 7m + 2n = 4m + 4n

⇒ 3m = 2n or 3m = 2n

⇒ m : n = 2 : 3

Therefore, the required ratio that divides the given line segment at point (3,4 ) is equal to 2 :3.

The above question is incomplete, the complete question is :

In what ratio the point (3,4 ) divides the line segment joining the points (1 ,2) and (6 , 7) ?

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Answer:

Я не вижу достаточно, чтобы прочитать весь вопрос, но я надеюсь, что это поможет.

и как человек с английским в качестве основного языка и изучающий русский, я с удовольствием использую эти навыки.

Answer:

Step-by-step explanation:

(1/4) : (2 2/3) = 3/

32

= 0.09375

hope this helps :)

Answer:

The elevation of the bottom of the canyon is 85 4/5 feet below sea level. To convert it to the normal number, we can convert the fractional part to decimal by dividing the numerator by the denominator. So 4/5 can be converted to 0.8. Now we can add this decimal part to the whole number.

85 + 0.8 = 85.8

So the elevation of the bottom of the canyon is -85.8 feet below sea level.

The elevation of the bird's nest is 880 1/2 feet above sea level.

So the difference in elevation between the bottom of the canyon and the bird's nest is = 880 + 0.5 - (-85.8) = 880.5 - (-85.8) = 966.3

Therefore, the difference in elevation between the bottom of the canyon and the bird's nest is 966.3 feet

So, the bird flies 966.3 feet to reach the nest.

Answer:

34

Step-by-step explanation:

This is the answer because subtracting the two would result in the number 39.

73-39=34

A pair of functions that are inverses of each other is: B. f(x) = 4x³ + 5 and g(x) = ∛[(x - 5)/4].

In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:

f(x) = y = ∛(x + 3) - 5

x = ∛(y + 3) - 5

x + 5 = ∛(y + 3)

Taking the cube of both sides of the function, we have:

(x + 5)³ = y + 3

g(x) = y = (x + 5)³ - 3 (Not inverse).

For the second option:

f(x) = y = 4x³ + 5

x = 4y³ + 5

x - 5 = 4y³

Dividing both sides of the function by 4, we have the following:

y³ = (x - 5)/4

Taking the cube root of both sides of the function, we have:

g(x) = y = ∛[(x - 5)/4] (Inverse)

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A quadrilateral whose diagonals are parallel is referred to as a parallelogram. A parallelogram has equal angles on each side. A parallelogram has equal lengths on its opposing sides.

A parallelogram's diagonals cut through one another. Show: If a quadrilateral's one set of opposing sides is congruent and parallel, the quadrilateral is a parallelogram.

ABCD is a parallelogram if — BC — AD and — BC — AD. A quadrilateral becomes a parallelogram if its diagonals are bisected by one another. Having four sides in two dimensions, a quadrilateral. Square, rectangle, rhombus, trapezium, parallelogram, and kite are all examples of 2D shapes that are quadrilaterals.

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What does the problem look for:

 --> value of 'x'

Let's split this diagram:

  --> look at the diagram attached

       --> the red line forms a right angle with the side with length 10

Based on how we split the diagram

 --> we get a triangle on top

      --> the base is 10

         --> the height is difference between 10 and 6 --> 4

Using the Pythagorean theorem:

  [tex]x^2=10^2+4^2\\x^2=100+16\\x^2=116\\x=\sqrt{116}\\x=\sqrt{4*29}\\x=2\sqrt{29}[/tex]

Answer: [tex]2\sqrt{29}[/tex]

Answer:

y+3/2x+1

Step-by-step explanation:

It had a 1.75 m (about 6 ft.) long cranium, a body length of 14 to 18 m (46 to 59 ft.), and an estimated mass of 12,000 to 20,000 kg (13–22 tons).

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From the figure, you can see that ∠3 and ∠4 are supplementary because they are linear pairs.

Answer:

Linear pair

Step-by-step explanation:

Angle 3 and angle 4 form a linear pair. The measure of angle 3 is four more than three times the measure of angle 4.

Your Best Friend

s183960

Answer:

3 √4096

Step-by-step explanation:

First we multiply them: 10 × 51.2 × 8 = 4096

Then (as there are three numbers) take the cube root: 3 √4096 = 16

Answer: 3.078139077

Step-by-step explanation:

Use the 1st digit 2 from dividend 2367800.

Since 2 is less than 769231, use the next digit 3 from dividend 2367800 and add 0 to the quotient.

Use the 2nd digit 3 from dividend 2367800.

Since 23 is less than 769231, use the next digit 6 from dividend 2367800 and add 0 to the quotient.

Use the 3rd digit 6 from dividend 2367800

Since 236 is less than 769231, use the next digit 7 from dividend 2367800 and add 0 to the quotient.

Use the 4th digit 7 from dividend 2367800.

Since 2367 is less than 769231, use the next digit 8 from dividend 2367800 and add 0 to the quotient.

Use the 5th digit 8 from dividend 2367800.

Since 23678 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 6th digit 0 from dividend 2367800.

Since 236780 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 7th digit 0 from dividend 2367800.

Find closest multiple of 769231 to 2367800. We see that 3×769231=2307693 is the nearest. Now subtract 2307693 from 2367800 to get reminder 60107.

Add 3 to quotient.

Quotient: 3

Reminder: 60107

It's not as difficult as it looks.

✨

The value of y = 18.75 if x and y have a proportional relationship, and y=15 when x=8 and when the value of x = 10 .

What is ratio ?

ratio can be defined as the given value divided by the total value called as the ratio.

Given ,

If x and y have a proportional relationship, and y=15 when x=8, what is the value of y when x=10

So , from the given given values,

8 / 15  = 10 / y

8*y = 15*10

y = 150 / 8

y = 75 / 4

y = 18.75

Hence, The value of y = 18.75 if x and y have a proportional relationship, and y=15 when x=8 and when the value of x = 10 .

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250 km is approximately 3 hours and 15 minutes of driving time.

The time it takes to drive 250 km (155 miles) depends on the speed at which you are driving. If you are driving at an average speed of 80 km/h (50 mph), then it will take approximately 3 hours and 15 minutes to drive 250 km (155 miles). However, if you are driving at higher speed, such as 90 km/h (56 mph), it will take slightly less time - around 2 hours and 50 minutes. The time it takes to drive 250 km will also depend on the traffic situation and other factors such as the number of stops you make along the way. Generally, it is recommended to allow at least 3 hours and 15 minutes to drive 250 km.

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Therefore , the solution of the given problem of  proportionality relationship comes out to be  it is not proportional relationship.

Relationships are regarded to as proportional when they continuously have the same ratio. For instance, the number of trees in an airport and the number of apples in a harvesting of apples depend on the average number of apples produced by each tree. A linear relation between two number or variables is referred to as being proportional in mathematics. If the initial quantity doubles, the other amount also does so. Whenever one of the parameters is reduced to 1/100th of the its previous value, the other decreases as well.

Here,

Given :

=> y=75x-56

The proportional relationship says that the line of the given equation passes through origin ,

So , if we put x = 0,

We should get y=0.

So ,

=>  y=75(0)-56

=> y = 56

Thus , x =0 and y=56  because this line do not pass through origin it is not proportional relationship.

Therefore , the solution of the given problem of  proportional relationship comes out to be  it is not proportional relationship.

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The system of equations which used to determine the length ,L, and the width , W, of the rectangular garden are, L + W = 21 and L - 2W = 5.

Let the length of rectangular garden

= L feet

and the width of rectangular garden

= W feet

We have , perimeter of a rectangular garden = 42 feet

As we know , the perimeter of a rectangle with length, L and width, W is = 2(L+ W)

so, 2(L+ W) = 42 feet

dividing by 2 both sides

=> L + W = 21 ---(1) , which is a linear equation. Now, it is say in problem that length of rectangular garden is 5 ft more than twice the width, i.e., L = 5 + 2W

=> L - 2W = 5 --(2)

To determine the dimensions, we have to solve the system of equations, (1) and (2)

Substract the equation (2) from (1),

L + W -( L - 2W) = 21 - 5

=> L + W - L + 2W = 16

=> 3W = 16

=> W = 16/3 feet

plugging the value of W in equation (1) ,

L = 21 - W = 21 - 16/3 = 47/3 feet

Hence, the required system of equations are L + W = 21 and L - 2W = 5.

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Answer:

18 days

Step-by-step explanation:

You need to decide how many times 3 apples are more than ½: 3 / ½ = 6

So it will take 6 times more time: 3 x 6 = 18 days.

The length of the femur + tibia.

Leg length (LL) is defined anatomically as the length of the femur plus the tibia. Because humans are bipedal, “leg length” is frequently measured as (femur + tibia + the height of the foot, from the tibia-talus articulation to the ground).

Leg lengths should be measured to see whether there is a discrepancy from one side to the other. It is critical to distinguish between genuine and perceived leg length deficiencies. A pelvic obliquity, contractures, or scoliosis may cause an apparent or functional leg length disparity. The majority of leg length discrepancies are normal. No one is exactly symmetrical, and adults often have a discrepancy of up to 2 cm.

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y-6=-5/2(x-2) is the equation of the line that passes through the  points (2,6) and (4,1).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through point (2,6) and (4,1).

m=1-6/4-2

m=-5/2

Now let us find the point slope form

y-6=-5/2(x-2)

Hence, y-6=-5/2(x-2) is the equation of the line that passes through the  points (2,6) and (4,1).

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It is a point where all the angle bisectors of a triangle meet.

The point of concurrency for angle bisectors is a point where the angle bisectors of a triangle intersect. In other words, it is a point where all the angle bisectors of a triangle meet.

When we construct the angle bisectors of a triangle, they will always intersect at a single point, this point is known as the incenter of the triangle.

The incenter is the center of the inscribed circle, which is the circle that is tangent to all three sides of the triangle.

It is also important to note that the incenter is always inside the triangle and it is equidistant from all three sides of the triangle.

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