determine the missing side lenght of a right triangle when given a=14 and b=7

Answer:

Domain = {3,4,9}

Range = {2, 6, 8, 9.5}

Given relation is NOT a function.

Step-by-step explanation:

Given relation is relation is ((9,6), (3,8),(4,9.5), (9,2)}.

Now we need to determine if given relation is a function or not.

We also need to find the domain and range.

((9,6), (3,8),(4,9.5), (9,2)}

​Domain is basically the collection of x-values

So Domain = {3,4,9}

Range is basically the collection of y-values

So Range = {2, 6, 8, 9.5}

Since given relation contains repeated x-value "9".

So the given relation is NOT a function.

Answer:

TELL HIM TO STOP BEING SO CHEAP!!!!!!!!! <3

and i oop-

Step-by-step explanation:

The answer is D.

If you multiply them all together the answer (without simplifying), it should equal 210/9, you then simplify the numerator and denominator by 3 and you get 70/3.

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{5}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{21}{1}[/tex]

Multiply numerators/ denominators

= [tex]\frac{5(2)(21)}{3(3)(1)}[/tex]

= [tex]\frac{210}{9}[/tex]

Cancel the numerator/denominator by dividing both by 3

= [tex]\frac{70}{3}[/tex] → D

The domain is the set of feasible inputs, i.e. the x-coordinates in which you can evaluate the function.

We can see that this function is defined only for x values between -1 and 3 (included), so this is your domain.

Answer:

C. [tex]-1\leq x\leq 3[/tex].

Step-by-step explanation:

We have been given graph of a function. We are asked to find the domain of our given function.

We know that domain of a function is all values of x for which our given function is defined.

We can see that our given function is defined for values of x that are greater than or equal to [tex]-1[/tex] and less than or equal to 3.

Therefore, the domain of our given function would be [tex]-1\leq x\leq 3[/tex] and option C is the correct choice.

[tex]\bf \stackrel{\measuredangle A}{(5x-14)}+\stackrel{\measuredangle D}{(4x+5)}=\stackrel{\textit{linear angles}}{180}\implies 9x-9=180 \\\\\\ 9x=171\implies x=\cfrac{171}{9}\implies x=19 \\\\[-0.35em] ~\dotfill\\\\ \overline{DC}\implies -2x+54\implies -2(19)+54\implies -38+54\implies 16[/tex]

Answer:

DC = 12

Step-by-step explanation:

In a parallelogram consecutive angles are supplementary, that is

∠DAB and ∠ADC are consecutive and supplementary, thus

5x - 14 + 4x + 5 = 180

9x - 9 = 180 ( add 9 to both sides )

9x = 189 ( divide both sides by 9 )

x = 21

Hence

DC = - 2x + 54 = (- 2 × 21) + 54 = - 42 + 54 = 12

Answer:

5/8

Step-by-step explanation:

Subtract the total computers from the old computers.

40-15=25

Then put the number of new computers over the total computers

25/40

Then, simplify

5/8

Answer:

[tex]f(-1) = 1[/tex]

Step-by-step explanation:

Given

f(x) = [tex]-x^{3}-x^{2} +1[/tex]

Finding f(-1) means, we have to put -1 in the places of x in the function,

So, putting x=-1 in the function

[tex]f(-1) = (-1)^{3} - (1)^{2} +1[/tex]

As the power 3 is odd, the minus will remain the same, while in the 2nd term minus will be eliminated due to even power. So,

=> [tex]-1-1+1[/tex]

=> 1

Hence,

[tex]f(-1) = 1[/tex]

Answer:

x = 2.5

Step-by-step explanation:

Given

[tex]\frac{4}{x}[/tex] = [tex]\frac{12}{7.5}[/tex] = 1.6

Multiply both sides by x

4 = 1.6x ( divide both sides by 1.6 ), hence

x = 2.5

Answer:

The height of the tree is [tex]64.94\ ft[/tex]

Step-by-step explanation:

Let

y ----> the height of the tree

we know that

[tex]tan(33\°)=y/100[/tex] ----> the function tangent is equal to divide the opposite side angle of 33 degrees by the adjacent side angle of 33 degrees

Solve for y

[tex]y=(100)tan(33\°)=64.94\ ft[/tex]

The height of the tree can be calculated using the formula 'Height of tree = tan(33 degrees) * distance from the tree'. Substituting the given values, the tree should be approximately 65.45 feet tall.

John can measure the height of the tree using trigonometric principles. In this case, the problem involves a right triangle, where the height of the tree forms one side (opposite to the angle of elevation), the distance John is from the tree forms the base (adjacent to the angle of elevation), and the line of sight to the top of the tree forms the hypotenuse. The tangent of the angle of elevation (33 degrees in this case) is equal to the height of the tree divided by the distance from the tree.

Therefore, to calculate the height of the tree, we need to find the tangent of the given angle and multiply it by the distance from the tree:
Height of tree = tan(33 degrees) * distance from tree

= tan(33) * 100 feet
Approximately, the tree should be around 65.45 feet tall.

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Answer:

[tex]2d^3-7d^2-103d+36[/tex]

Step-by-step explanation:

The given expressions are (d-9) and [tex]2d^2+11d-4[/tex].

Their product is given by:

[tex](d-9)(2d^2+11d-4)[/tex]

We expand using the distributive property to obtain;

[tex]d(2d^2+11d-4)-9(2d^2+11d-4)[/tex]

[tex]2d^3+11d^2-4d-18d^2-99d+36[/tex]

We group similar terms to get;

[tex]2d^3+11d^2-18d^2-4d-99d+36[/tex]

We combine the similar terms to get:

[tex]2d^3-7d^2-103d+36[/tex]

[tex]

s=\frac{\Delta{y}}{\Delta{x}}=\frac{-3-0}{-2-0}=\boxed{\frac{3}{2}}

[/tex]

Hope this helps.

r3t40

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Where:

[tex](x_ {1}, y_ {1})\\(x_ {2}, y_ {2})[/tex]

They are two points through which the line passes.

We have as data that:

[tex](x_ {1}, y_ {1}) :( 0,0)\\(x_ {2}, y_ {2}): (- 2, -3)[/tex]

Substituting:

[tex]m = \frac {-3-0} {- 2-0}\\m = \frac {-3} {- 2}\\m = \frac {3} {2}[/tex]

Thus, the slope of the line is [tex]\frac {3} {2}[/tex]

Answer :

[tex]m = \frac {3} {2}[/tex]

Answer:

I think the answer is 12 rides

Final answer:

After setting up a system of equations with Option A as C = 50 + 2x and Option B as C = 4.5x, we find that after 20 rides, the total costs for both options are the same.

Explanation:

To determine after how many rides the total costs of the two payment options will be the same for the express bus from the center of town, we can set up a system of equations. Option A includes a monthly pass costing $50 plus $2 per ride, and Option B is a flat rate of $4.50 per ride.

Let's define x to be the number of rides. Then for Option A, the cost will be $50 (monthly pass) plus $2 multiplied by x, which can be expressed as the equation C = 50 + 2x. For Option B, the cost is simply $4.50 multiplied by x, which can be written as C = 4.5x.

To find out after how many rides the costs are the same, we set the equations equal to each other: 50 + 2x = 4.5x. Solving for x, we get x = 20. After 20 rides, the total costs for both options A and B will be the same.

Answer:

CD = 9

Step-by-step explanation:

DB is a perpendicular bisector, thus ΔADC is isosceles with

CD = AD = 9

Have you found out the answer

1. A transformation is an operation that  traces or moves, a preimage (original) onto an image.

2.The term describes the number of times a wave is translated in one second is frequency.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Frequency is defines as the  number of times a wave is translated in one second.

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The answer is:

The distance that Adam should cover to get to the park is 108 miles.

To solve the problem, we need to write two equations with the given information about the times and his speed.

So,

For the first equation we have: Going to Disney Park

[tex]time=4hours[/tex]

[tex]Distance=v*4hours[/tex]

For the second equation we have: Going back from Disnery Park

[tex]time=4hours-2.5hours=1.5hours[/tex]

[tex]Speed=v+45mph[/tex]

[tex]Distance=(v+45mph)*1.5hours[/tex]

Now, if He covered the same distance going and coming back, we have:

[tex]v*4hours=(v+45mph)*1.5hours[/tex]

[tex]v*4hours=v*1.5hours+45mph*1.5hours[/tex]

[tex]v*4hours-v*1.5hours=45mph*1.5hours[/tex]

[tex]v*2.5hours=67.5miles[/tex]

[tex]v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph[/tex]

We have that the speed when Adam was going to Disney Park was 27 mph.

Therefore, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Then, substituting the speed into the first equation, we have:

[tex]Distance=v*4hours\\Distance=27mph*4hours=108miles[/tex]

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

Answer:

The correct choices are; B,C,E, and F.

Step-by-step explanation:

The given equation is;

[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]

We solve for m to obtain:

[tex]m=-\frac{7}{4}-\frac{3}{4}=-2.5[/tex]

We also solve the remaining equations to see which ones give the same result.

A: [tex]m=\frac{10}{4} =2.5[/tex]

B:[tex]m=-\frac{10}{4} =-2.5[/tex]

C:[tex]m=-\frac{5}{2} =-2.5[/tex]

D: [tex]\frac{11}{4}+m=-\frac{1}{4}[/tex]

[tex]m=-\frac{1}{4}-\frac{11}{4}=-3[/tex]

E: [tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]

[tex]m=-\frac{15}{4}+\frac{5}{4}=-2.5[/tex]

F: [tex]m+2=-0.5[/tex]

[tex]m=-0.5-2=-2.5[/tex]

The equivalent equations are; B,C,E, and F.

Answer:

[tex]m=-\frac{10}{4}[/tex]

[tex]m=-\frac{5}{2}[/tex]

[tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]

[tex]m+2=-0.5[/tex]

Step-by-step explanation:

Given equation,

[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]

[tex]\implies m = -\frac{7}{4}-\frac{3}{4}=\frac{-7-3}{4}=-\frac{10}{4}=-\frac{5}{2}[/tex],

Since, [tex]\frac{10}{4}\neq -\frac{5}{2}[/tex]

[tex]\frac{11}{4}+m = -\frac{1}{4}[/tex]

[tex]\implies m = -\frac{1}{4}-\frac{11}{4}=\frac{-1-11}{4}=-\frac{12}{4}=-3\neq -\frac{5}{2}[/tex]

[tex]-\frac{5}{4}+m=-\frac{15}{4}\implies m = -\frac{15}{4}+\frac{5}{4}=\frac{-15+5}{4}=-\frac{10}{4}[/tex]

[tex]m+2=-0.5\implies m = -0.5-2\implies m = -2.5=-\frac{5}{2}[/tex]

Answer:

≈ 5.7

Explanation:

Place the dot at the 7th notch after 5

Hope this helps! :)

~ 5.74 place the dot 3 lines before the 6

Rhombus.? I think? I'm not sure

q=5 the first one is 2 so T1=2

and for the end we use the formula:

[tex]an = 2 \times {5}^{(n - 1)} [/tex]

Answer:

a) Domain: -∞ < x < ∞

b) Cost required to manufacture 3500 items is $15,900.

c) Number of items she can manufacture is 5208 if cost is kept at $20,000

Step-by-step explanation:

a) What is the reasonable domain of the function?

The function is C(x) = 7,500 + 2.4x

The domain of the function is the set of values for which the function is defined and valid.

In the given function there is no constraint or undefined points so domain is:

-∞ < x < ∞

b) What is the cost of 3,500 items?

We are given x = 3500 and we need to find the cost.

Putting values in the function given:

C(x) = 7,500 + 2.4x

C(x) = 7,500 + 2.4 (3500)

C(x) = 7500 + 8400

C(x) = 15,900

Cost required to manufacture 3500 items is $15,900.

c) If costs must be kept below $20,000 this month, what is the greatest number of items she can manufacture?

We are given cost, and we need to find x

C(x) = 7,500 + 2.4x

20,000 = 7500 +2.4x

20,000 - 7500 = 2.4x

12500 = 2.4 x

=> x = 12500/2.4

x= 5208.3 ≅ 5208

So, Number of items she can manufacture is 5208 if cost is kept at $20,000

Answer:

5

Step-by-step explanation:

(3 1/3)/(2/3) = (10/3)/(2/3) = 10/2 = 5

In the above, both the numerator fraction and the denominator fraction have the same denominator (3), so the result is the ratio of their numerators.

____

The other way to divide fractions is to "invert and multiply". For this, the denominator gets inverted (from 2/3 to 3/2) and that is then used to multiply the numerator.

(3 1/3)/(2/3) = (10/3) · (3/2) = (10·3)/(2·3) = 10/2 = 5

You will note that the denominators of 3 cancel, resulting in 10/2 as above.

Answer:

5

Step-by-step explanation:

Expression: 3 ¹/₃ ÷ ²/₃

Mixed to improper: ¹⁰/₃ ÷ ²/₃

Divide by fraction = multiply by its reciprocal:

Change: ¹⁰/₃ × ³/₂

Simplify: ¹⁰/₁ × ¹/₂

Simplify: ⁵/₁ × ¹/₁

Multiply: 5

Answer:

5 zucchini plants

Step-by-step explanation:

Answer: the answer will be 5(x)=x

Answer:

We can see here that the two sides of both triangle are equal to each other, therefore both triangles are isosceles triangles.

And also the two chords are parallel to each other, which let us know that:

b° = 40°

We also proved that that triangle is an isosceles triangle so:

b° = c° = 40°

Which makes it possible to calculate d°:

b° + c° + d° = 180°

40° + 40° + d° = 180°

d°                    = 180° - 40° - 40°

d°                    = 100°

Not sure if my thinking process make sense, but I'm quite sure about the answers.

Answer:

1.08×10^11

Step-by-step explanation:

1.08 times 10 to the power of 11

The number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]

Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.

In 1995 : 1.8 * [tex]10^{11 }[/tex]

In 1965: 7.2 * [tex]10^{10 }[/tex]

So, the difference will be

= 1.8 * [tex]10^{11 }[/tex]  - 7.2 * [tex]10^{10 }[/tex]

= 1.8 * [tex]10^{10}*10[/tex] - 7.2 * [tex]10^{10 }[/tex]

=18 * [tex]10^{10 }[/tex] - 7.2 * [tex]10^{10 }[/tex]

= (18-7.2)  * [tex]10^{10 }[/tex]

=10.8  * [tex]10^{10 }[/tex]

= 1.08 * [tex]10^{11}[/tex]

Hence, the number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]

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Answer:

The fourth

Step-by-step explanation:

It has 4 terms

ANSWER

4)x^3+ 5x^2- 9x- 45=0

EXPLANATION

Factoring by grouping is used to factor expressions that have four terms.

Among the given options, the fourth option is

[tex]x^3+ 5x^2- 9x- 45=0[/tex]

There are already four terms in this expression.

So we group the first two and the last two and factor.

We can see that x² is common to the first two terms and -5 is common to the last 2 terms.

The fourth choice is correct.

The height of the wall is calculated to be approximately 12 feet using the Pythagorean theorem with the given measurements.

This problem can be solved using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, we have a triangle formed by the wall, the ground and the ladder. Let's say the ladder's length is 'c', the wall's height is 'a' and the base from the person to the wall is 'b'. According to the problem:

Using the Pythagorean theorem, we get:

a^2 + b^2 = c^2

Where a is the height of the wall. Substituting in the values we get:

a^2 + 9^2 = 15^2

Solving for 'a', we find that the height of the wall is approximately 12 feet.

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Using the Pythagorean theorem, the length of the ladder and subtract the person's height to find the wall's height is 4.82 feet.

To find the height of the wall, we can use similar triangles. The person's height and distance from the wall create a right triangle with the ladder. The ladder acts as the hypotenuse of this right triangle. Using the Pythagorean theorem, we can find the length of the ladder. Then, we subtract the person's height from this length to find the height of the wall.

Let's denote the height of the wall as h. The person's height is 6 feet and they are 9 feet from the wall. The foot of the ladder is 6 feet from the person, so it forms a right triangle with legs measuring 6 feet and 9 feet.

Using the Pythagorean theorem: a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse, we have:

6^2 + 9^2 = c^2

36 + 81 = c^2

117 = c^2

c = sqrt(117) = 10.82 feet (rounded to two decimal places)

Therefore, the height of the wall is 10.82 feet - 6 feet (person's height) = 4.82 feet.

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Answer:

16) The area of the circle is 25.1 units²

17) JKLM is a parallelogram but not a rectangle

Step-by-step explanation:

16) Lets talk about the area of the circle

- To find the area of the circle you must find the length of the radius

- In the problem you have the center of the circle and a point on

 the circle, so you can find the length of the radius by using the

 distance rule

* Lets solve the problem

∵ The center of the circle is (1 , 3)

∵ The point on the circle is (3 , 5)

- Using the rule of the distance between two points

* Lets revise it

- The distance between the two points (x1 , y1) and (x2 , y2) is:

 Distance = √[(x2 - x1)² + (y2 - y1)²]

∴ r = √[(3 - 1)² + (5 - 3)²] = √[4 + 4] = √8 = 2√2 units

∵ The area of the circle = πr²

∴ The area of the circle = π (2√2)² = 8π = 25.1 units²

* The area of the circle is 25.1 units²

17) To prove a quadrilateral is a parallelogram, prove that every

     to sides are parallel or equal or the two diagonal bisect

     each other

* The parallelogram can be rectangle if two adjacent sides are

  perpendicular to each other (measure of angle between them is 90°)

 or its diagonals are equal in length

- The parallel lines have equal slopes, then to prove the

  quadrilateral is a parallelogram, we will find the slopes of

  each opposite sides

* Lets find from the graph the vertices of the quadrilateral

∵ J = (0 ,2) , K (2 , 5) , L (5 , 0) , M (3 , -3)

- The opposite sides are JK , ML and JM , KL

- The slope of any line passing through point (x1 , y1) and (x2 , y2) is

 m = (y2 - y1)/(x2 - x1)

∵ The slop of JK = (5 - 2)/(2 - 0) = 3/2 ⇒ (1)

∵ The slope of LM = (-3 - 0)/(3 - 5)= -3/-2 = 3/2 ⇒ (2)

- From (1) and (2)

∴ JK // LM

∵ The slope of KL = (0 - 5)/(5 - 2) = -5/3 ⇒ (3)

∵ The slope of JM = (-3 - 2)/(3 - 0)= -5/3 ⇒ (4)

- From (3) and (4)

∴ KL // JM

∵ Each two opposite sides are parallel in the quadrilateral JKLM

∴ It is a parallelogram

- The product of the slopes of the perpendicular line is -1

* lets check the slopes of two adjacent sides in the JKLM

∵ The slope of JK = 3/2 and the slope of KL = -5/3

∵ 3/2 × -5/3 = -5/2 ≠ -1

∴ JKLM is a parallelogram but not a rectangle

Answer:

21 + 4(3^2 - 5 = 37

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

you first got to get x by itself so + 19 on each side of the equal signs which gets rid of the -19 on the left side of the equal and it adds 19 on the right side of the equal making the answer x=20

The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

x – 19 = 1

The degree of the equation is one. Then the equation is a linear equation. Simplify the equation, then we have

x – 19 = 1

x = 1 + 19

x = 20

The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.

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Answer: the answer is 1/9

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

3²/3⁴ = 3²⁻⁴ = 3⁻² = 1/3² = 1/9

according to the rule of indices