What is the answer to 9/9x - 5/10x + 1/9x

Answer:

12

Step-by-step explanation:

unless placed in an inconvinient way, this is really the one that makes sense.

Using a system of equations, the height of the tree would be 12.80 meters.

Equating the height and shadows of the tree and pole :

Height of pole / shadow of pole = height of tree / shadow of tree

Representing the equation thus :

Let the height of the tree = h

3/4 = h/17

Cross multiply

4h = 17 × 3

4h = 51

Divide both sides by 4

h = 51/4

h = 12.75.

Hence, the height of the tree to the nearest tenth of a meter is 12.80 meters.

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Answer:

Just multiply two of the same numbers together twice

Step-by-step explanation:

Find the closest square number to the Square root of 31 which is 36. The square root of 36 is 6. So since 31 is smaller than 36, it must be between 5 and 6. Do this for the rest of the questions.

Answer:

AAS

Step-by-step explanation:

because here it is given that two angle are

equal

and a side is common between both traingle

so, both traingle are congruent by

AAS

hope it helps

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

48=2/3

48×3÷2= Marcus older brother height

72 inches

The value of x, considering the Pythagorean Theorem, is given as follows:

x = 9.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

The sides for the problem are given as follows:

15 and 8 (segment of 8 is the radius, which is the distance from the center to a point on the circumference of the circle).

Hence the hypotenuse is obtained as follows:

h² = 15² + 8²

h² = 289

h = 17.

Hence the value of x is obtained as follows:

x = 17 - 8

x = 9.

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Answer

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2(y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 ( subtract 8 from both sides )

- y = - 10 ( multiply both sides by - 1 )

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10 ) → D

Step-by-step explanation:

Answer:

x=3

x=3y=1

I hope this helps!

Step-by-step explanation:

x+y=4

2x-3y=3

y = 4-x

2x-3(4-x) = 3

2x-12+3x = 3

5x = 15

x = 3

y = 4-x

4-3 = 1

y = 1

Answer:

Step-by-step explanation:

\(a^{-m}=\frac{1}{a^{m}}\\\\\frac{1}{a^{-m}}=a^{m}\\\\\\a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\)

\((a^{m})^{n} = a^{m*n}\)

In exponent multiplication, if two numbers have same base, just add the exponents

In exponent division, if two numbers have same base, just subtract the exponents

Prime factorize 4 = 2*2 = 2²

4⁻¹ *(2³÷ 4⁻² )= (2²)⁻¹ * ( 2³÷ (2²)⁻²

                 = (2⁻²)* (2³ ÷2⁻⁴)

                 \(= 2^{-2} * (2^{3-[-4]})\\\\= 2^{-2} * (2^{3+4})\\\\= 2^{-2} * 2^{7}\\\\= 2^{-2+7}\\\\= 2^{5}\\\\= 2 * 2 * 2 * 2 * 2\\\\= 32\)

Answer:

D. 32

Step-by-step explanation:

Write the expression in exponential form with the base of 2

\(2^{-2} x (2^{3} 4^{-2} )\)

Calculate the quotient

\(2^{-2} x 2^{7}\)

2 ^ 5 = 32

Alternative form

32

Answer: x = -1 or x = 5/3

Step-by-step explanation:

|3x - 1| = 4

=> 3x - 1 = 4 or 3x - 1 = -4

=>x = 5/3 or x = -1

b because 90

                  15

                  15

               -_____

                  76.50

The approximate area of the composite figure is 71.13 square centimeters. None of the given answer choices are exact, but the closest one is D. 67.12 square centimeters.

Area of composite shape equals area of square plus area of rectangle. The composite shape's area is 14 + 9 = 23 square inches. The resulting composite shape has a surface area of 23 square inches.

We must first determine the areas of the three simpler shapes in order to combine them together to determine the area of the composite figure.

The first shape is a rectangle that measures 8 cm in length and 6 cm in breadth. Its surface area is 8 by 6 cm, or 48 square cm.

A semicircle with a diameter of 6 cm makes up the second form. It has a 3 centimeter radius. Half of a full circle's area is contained within a semicircle.

1/2 × π × 3 cm × 3 cm = 4.5 π square cm ≈ 14.13 square cm (rounded to two decimal places)

A triangle with a 6 cm base and 3 cm height makes up the third shape. Its geographical range is:

1/2 × 6 cm × 3 cm = 9 square cm

We sum the areas of the three shapes to obtain the area of the composite figure.

48 square cm + 14.13 square cm + 9 square cm ≈ 71.13 square cm

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Explanation:

Refer to the y = mx+b form

The slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.

The slopes are not equal, so the lines aren't parallel.

The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.

Therefore, the two lines are neither parallel nor perpendicular, they just intersect.

The solution is, the area in terms of pi is 246.49 ft^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

we know that,

The area of a circle is π multiplied by the square of the radius.

The area of a circle, (A) when the radius 'r' is given is πr2.

π is approximately  3.142

Given,

Radius of a circle = 10/2 = 5 ft

Therefore,

Area in terms of pi

A = pi(r) ^2

A = 3.14(5) ^2

A = 15.7 ^2

A = 246.49

Hence, The solution is, the area in terms of pi is 246.49 ft^2.

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Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer:

log (16)=2 in base 3x-5

==>16=2^(3x-5)

==>2^4=2^(3x-5)

==>4=3x-5

==>3x=9

==>x=3

Step-by-step explanation:

The body mass index of the patient is 18.82 kg/m².

Given that the weight of a patient is 61 kg and his height is 1.8 m we need to find his body mass index,

BMI = Weight / Height²

= 61 / 1.8²

= 61 / 3.24

= 18.82

Hence the body mass index of the patient is 18.82 kg/m².

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Answer:

6 kg nuts and 9kg of raisins

Step-by-step explanation:

We know that the price must be (2.5x  + 3.75y)/15 = 3.00 and x+y = 15. To solve this system of equations, we can say that x = 15-y. We plug this back into the equation to get

( 2.5(15-y) + 3.75y) ) / 15 = 3.00

y = 6

to find x

x = 15 - 6 = 9

6 kg nuts and 9kg of raisins

Answer:

every equation has at least 2 numbers and has a answer.

Step-by-step explanation:

Answer: Number 2

Step-by-step explanation: yes

The ordered pairs that satisfies the linear inequality x < - 3 are (-4, -3) and (-3, -3)

A linear inequality is a mathematical statement that describes a relationship between two or more variables that are not necessarily equal. It is similar to a linear equation, but instead of an equal sign, it uses one of the inequality signs: <, >, ≤, or ≥.

A linear inequality can also be represented graphically on a coordinate plane, by shading the region of the plane that satisfies the inequality. The solution set of a linear inequality is the set of all points that make the inequality true.

A linear inequality can also have infinitely many solutions, no solution or a unique solution. The solution set will be a region in a coordinate plane which is a half-plane, a line or a point depending on the inequality.

In the problem, the inequality x < -3 will have an ordered pair of solution of

(-∞, -3).

This implies that all values of x must lies from negative till infinity while y lies up to - 3.

In the options given, only (-4, -3) and (-3, -3) satisfies this criteria.

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it is given that,

the expression is

cosine Pi/3

we know that

so,

thus, the answer is 1/2

the final result of the double integral is `(4/3)*a. we have to Integrate the inner integral with respect to z.

what is inner integral ?

An inner integral is a mathematical term that refers to the integral function that is evaluated first in a double integral.

In the given question,

To solve this double integral, we will use the following steps:

Integrate the inner integral with respect to z.

Evaluate the result of the inner integral at  upper and lower limits of z.

Substitute the result of the inner integral into the outer integral and integrate with respect to y.

Evaluate the result of the outer integral at the upper and lower limits of y.

Simplify the expression.

Now, let's apply these steps to solve the given double integral:

Integrate the inner integral with respect to z:

∫(x²*z + y²*z + z³) dz = x²/2*z² + y²/2*z² + z^4/4 + C

where C is the constant of integration.

Evaluate the result of the inner integral at the upper and lower limits of z:

(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)

Substitute the result of the inner integral into the outer integral and integrate with respect to y:

markdown

∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

Evaluate the result of the outer integral at the upper and lower limits of y:

= ∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

from y = -sqrt(a²-x²) to y = sqrt(a²-x²)

= (2/3)*x²*(a²-x²)¹⁵ + (2/3)*(a²-x²)²⁵

- (2/3)*x²*(-a²+x²)¹⁵ + (2/3)*(-a²+x²)²⁵

Simplify the expression:

= (4/3)*a³ - (4/3)*a*x²

Therefore, the final result of the double integral is `(4/3)*a

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