One of the legs of a right triangle measures 5 cm and the other leg measures 6 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answer:

2z^2-5z-63

Step-by-step explanation:

2z^2+9z-14z-63

2z^2-5z-63

Answer:

look at the picture I sent

The length of x is 6 in simplest radical form.

'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'

According to the given ,

Perpendicular = 3

Hypotenuse = x

We know,

sin∅ = 3/x

∅ = 30°

⇒ sin30 = 3/x

⇒ 1/2 = 3/x  [ sin30 = /2  ]

⇒ x = 3 * 2

⇒ x= 6

Hypotenuse = 6

Applying Pythagoras theorem:

Hypotenuse² = Perpendicular² + Base²

6² = 3² + Base²

6² - 3² = Base²

Base² = 25

Base = √25

Base = 5

We can conclude the value of x to be 6.

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the equation in the form of slope interpretation is y = 1/3x -4.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation has the conventional form y = mx + c.

Given data in a table such as it makes a linear equation slope-intercept form of the given equation is y = mx +c

Where m is the slope

c is constant

The slope for the given data

m = (y₂ - y₁) / (x₂ - x₁)

m = (-5 + 6 )/ (-3 + 6)

m = 1/3

Hence, the equation would be

y = 1/3x + c

for constant we would satisfy the equation with other coordinates of the line.

Substituting ( 0, -4) in the above equation

-4 = 0 + c

c = -4

thus, the equation of the line is  y = 1/3x  -4

therefore, the linear equation of the given data is y = 1/3x -4.

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Answer:

0.125

Step-by-step explanation:

Step 1: Find a number such that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on

Step 2: Multiply both numerator and denominator by that number to convert it into it's equivalent fraction.

Step 3. Then write down just the numerator, putting the decimal point in the correct place i.e., one space from the right hand side for every zero in the denominator

1/8 = (1×125)/(8×125) = 125/1000 = 0.125

Thus, as a decimal 1/8 is 0.125

Answer:

Strategies that Frankie should consider:

1.) What he needs vs what he wants (does Frankie need new shoes?)

2.) Opportunity cost (savings Frankie would have to give up if he buys new shoes)

3.) Short-term and long-term goals (Does Frankie needs shoes now, or can he wait?)

Frankie should think about a number of options before purchasing a new pair of shoes. He should first consider whether he actually needs or wants these shoes. He should then think about opportunity cost. How else could he have used that money if he had not purchased the shoes? Could he have utilized his resources more effectively? He must also think about the issue of setting goals. He needs to decide if this is a task for the present or the future.

Also I dont understand how this is math

Answer:

you dont have a picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given L is the line through A(1, 2, -1) and B(5, -3, 4), you want its direction vector, a parameterization of L, 2 points on L that are 2 units from A, and a unit speed parametrization of L.

A direction vector for L will be the vector AB.

  [tex]\overrightarrow{AB}=B-A=(5,-3,4)-(1,2,-1)\\\\\boxed{\overrightarrow{AB}=(4, -5,5)}[/tex]

The parameterized equation will be ...

  [tex]L=A+t\cdot\overrightarrow{AB}\\\\\boxed{L=(1+4t,2-5t,-1+5t)}[/tex]

The direction vector has length √66, so we can find two points on L that are 2 units from A by using t = ±2/√66 in the parameterized equation.

Here, they are:

  P1 = L(2/√66) = (1 +8/√66, 2 -10/√66, -1 +10/√66)

  P2 = L(-2/√66) = (1 -8/√66, 2 +10/√66, -1 -10/√66)

In the Answer section above, these are written with rationalized denominators.

The unit speed parametrization uses the unit direction vector instead of the unnormalized direction vector in the parameterized equation. Effectively, t is scaled by a factor of 1/√66.

  L = (1 +4t/√66, 2 -5t/√66, -1 +5t/√66)

In the Answer section above, this is written with rationalized denominators.

You might notice here that it is easier to answer part 3 if you have this equation. You need only substitute t=±2 to get the points 2 units from A.

Answer:

x = 1

Step-by-step explanation:

2x + 3 = 5

=> 2x = 5-3

=> 2x = 2

=> x = 2/2

=> x = 1

Therefore, the value of x is 1

Hope it helps :)

Answer:

x=1

Step-by-step explanation:

Hi there!

2x+3=5

Our goal is to isolate x on one side of the equal sign, and we can do this using inverse operations. For example, the inverse operation of addition is subtraction. Subtract both sides of the equation by 3 to isolate 2x:

2x+3-3=5-3

2x=2

The inverse of multiplication is division. Divide both sides by 2:

2x÷2=2÷2

x=1

I hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

perimeter = 70 yards

Step-by-step explanation:

⭐What is the area of a rectangle?

⭐What is the perimeter of a rectangle?

1. Make the equation for the area of the given rectangle and solve for x

2. Substitute x into the expressions of the length and width and solve for the perimeter

1. Define the expressions of the length and width of the rectangle

width: x

length: 4x

2. Make the equation for the area of the rectangle

[tex]196yd^2 = 4x * x\\196yd^2 = 4x^2[/tex]

3. Solve for x

[tex]\frac{196}{4} = x^2[/tex] . . . . . . . . . . divide both sides by 4

[tex]49 = x^2[/tex]

[tex]\sqrt{49} = \sqrt{x^2}[/tex] . . . . . . . . square root both sides to isolate x

∴ [tex]7 = x[/tex]

4. Substitute x into the expressions of the length and the width

width: x

width = 7

height: 4x

height = 4(7) = 28

5. Solve for the perimeter

[tex]perimeter = 2(length) + 2(width)[/tex]

[tex]perimeter = 2(28) + 2(7)\\perimeter = 56 + 14\\perimeter = 70[/tex]

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Answer:

−1 < y < 3

Step-by-step explanation:

Answer:

the answer is 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin40°=[tex]\frac{AC}{12}[/tex]
⇒AC=sin40°×12

⇒AC=7.713≈7.7
cos40°=[tex]\frac{AB}{12}[/tex]
⇒AB=cos40°×12

⇒AB=9.192≈9.2

as A=90°,B=40°

from A+B+C=180°

we can write C=180°-90°-40°

⇒C=50°

Answer:

Mode

Step-by-step explanation:

I believe mode because 8 is the number that appears most often in this set of numbers.

note: Mode is the number that appears most often in any set of numbers.

Answer:

still waiting for the ai to solve it

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

Given that the function f(x)=√(x-1), therefore, the function can be represented on the graph as is Y.

Hence, the correct option is C.

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Answer:

r = 7

Step-by-step explanation:

area equals (pi)(r)^2

first divide 154 by pi

154/pi = 49

r^2 = 49

square root both sides

r = 7

Answer:

mate what expression

Answer:

what expression?

Step-by-step explanation:

The wrist circumference in relation to height tells us how big our body frames are.

The wrist circumference in relation to height tells us how big our body frames are. A man who is above 5' 5" tall and with a wrist measurement of 6" would be considered to have tiny bones.

The following chart can be used to establish whether a person has tiny, medium, or large bones by measuring their wrist with a measuring tape and comparing the results.

Women:

under 5'2" in height"

Medium wrist size is between5.5" and5.75" Small wrist size is less than5.5" "

Large is defined as a wrist size of 5.75 or greater."

between 5'2" and 5'5" tall

smaller than 6 inches around the wrist"

Bracelet size 6 is medium "Medium = wrist size between 6.25" and 6.5" Large

Over 5' 5" in height"

Small wrists measure less than 6.25", Medium wrists measure 6.25" to 6.5," and Large wrists measure over 6.5."

Example :

2(x + 3 ) + 2 (x + 4 ) = (x + 3 )( x + 4)

x² + 7x + 12 = 4x + 14

x² + 3x - 2 = 0

(x + 3 / 2 )² = 17 / 4.

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Answer:

1

Step-by-step explanation:

hope this helps, have a great day :)

Answer:

1

Step-by-step explanation:

any number to the power of 0 will equal to 1

[tex] {?}^{0} = 1[/tex]

a) [tex]\frac{(x+1)^{2}}{3^{2}}-\frac{(y+2)^{2}}{2^{2}} = 1[/tex].

b) (h, k) = (-1, -2).

c) F₁ (x, y) = (-1 - √13, -2), F₂ (x, y) = (-1 + √13, -2).

d) y = ±2 · (x + 1) / 3 - 2.

e) See the image attached below.

In this question we must analyze the general equation of a hyperbola  and derive all the required information by algebraic and graphic means. All this information is derived from the standard equation of the hyperbola, which is presented below:

[tex]\frac{(x-h)^{2}}{a^{2}}-\frac{(y-k)^{2}}{b^{2}} = 1[/tex]   (1)

Where:

The foci are located at the following two points: [tex]F_{1} (x, y) = (h - c, k)[/tex], [tex]F_{2} (x,y) = (h + c, k)[/tex].

Where [tex]c = \sqrt{a^{2}+b^{2}}[/tex].

And the asymptotes of the hyperbola are described by the following formulas:

y₁ = b · (x - h)  / a + k   (2)

y₂ = - b · (x - h) / a + k   (3)

a) We transform the general equation into its standard form:

The standard equation of the hiperbola is [tex]\frac{(x+1)^{2}}{3^{2}}-\frac{(y+2)^{2}}{2^{2}} = 1[/tex]. [tex]\blacksquare[/tex]

b) From the result found in a) we conclude that the center of the hyperbola is (h, k) = (-1, -2).

c) The foci of the hyperbola are located at the following two points:

[tex]c = \sqrt{3^{2}+2^{2}}[/tex]  

[tex]c = \sqrt{13}[/tex]

F₁ (x, y) = (-1 - √13, -2), F₂ (x, y) = (-1 + √13, -2)

The foci of the hyperbola are F₁ (x, y) = (-1 - √13, -2) and F₂ (x, y) = (-1 + √13, -2). [tex]\blacksquare[/tex]

d) And the asymptotes of the hyperbola are presented below:

y₁ = 2 · x / 3   (2)

y₂ = - 2 · x / 3   (3)

The asymptotes of the hyperbola are y₁ = 2 · (x + 1) / 3 - 2 and y₂ = - 2 · (x + 1) / 3 - 2. [tex]\blacksquare[/tex]

e) The graph of the hyperbola and all its characteristics are presented by means of graphing tool. The result is presented in the image attached below.

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Answer:

The equation of the hyperbola = (x + 1)^2/3^2 - (y + 2)^2/2^2 = 1

The center of the hyperbola = (-1, -2) (h, k)

The vertices of the hyperbola (my assingment asked me for vertices) = (2, -2) and (-4, 2)

The asymptotes = one at y = (2x+2/3) - 2 and the other is at

y = -((2x+2/3) -2)).

Step-by-step explanation:

For the graphing part plug the equation into desm0s and the asymptote equation. For the guiding box part, you use the B variable. Since b = 2 in this problem, you count up two spaces from the center (-1,-2) and then down two spaces. These will be the top and bottom of your guiding box. Then use your vertices as the sides and make a box that connects.

Good luck!

Step-by-step explanation:

8.

Let the number is x. A number minus 7 is (x-7). It is doubled to get 86. So,

[tex](x-7)^2=86\\\\x-7=\sqrt{86}\\\\x-7=\pm 9.27\\\\x-7=9.27\ and\ x-7=-9.27\\\\x=16.27\ or\ x=-2.27[/tex]

The number can be 16.27 or -2.27.

9.

The diameter of the cylindrical tank, d = 20 ft

Radius, r = 10 ft

It is filled with oil to a depth of h feet.

The volume of a cylindrical shaped object is given by :

[tex]V=\pi r^2 h[/tex]

Put the given values,

[tex]V=\pi (10)^2h\\\\V=3.14\times 100\times h\\\\V=314h\ ft^3[/tex]

So, the volume of the tank is equal to [tex]314h\ ft^3[/tex].

Answer:

Minimum of 6 squares.

Step-by-step explanation:

The dimension of the rectangular carton = 6 by 4 inches.

The area of the carton = length x width

                                      = 6 x 4

                                       = 24 square inches

Assume that we have a square of side length 2 inches, then;

area of the square = length x length

                               = 2 x 2

                               = 4 square inches

So that since all materials is to be used,

the minimum number of squares that it can produce = [tex]\frac{24}{4}[/tex]

                                                           = 6

The minimum number of squares he can produce is 6.

What is a rectangle?

A rectangle is a 2-dimensional quadrilateral with four right angles that add up to 360 degrees. It has two diagonals which bisect each other. The diagonals are equal in length

Area of a rectangle = length x width

6 x 4 = 24 square inches.

What is a square?

A square is a quadrilateral that has four sides of equal lengths.

Possible areas of the square = 1 inches square, 4 inches square, 9 inches square, 16 inches square.

Minimum number of square = 24 / 4 = 6 squares

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Answer:

x^3

Step-by-step explanation:

Answer:

Angle x = 120 degrees

Angle y = 60 degrees

Step-by-step explanation: Angle x has to be equivalent to the 120 degree angle that is already given since lines l and m are parallel as well as lines p and q. To find angle y, you must realize that angles x and y are supplementary angles, so their sum is 180 degrees. Since we now know that angle x is 120 degrees, you must subtract 120 from 180 in order to find the value of angle y: 180 - 120 = 60 degrees. I'm sure that there are other methods to figuring this question out, but this is how I did it.

Answer:

8 x 6 = 48

48 divided by 2 = 24

24 x 2 = 48

10 x 12 = 120

120 x 2 = 240

8 x 12 = 96

Add all given areas:

48 + 96 + 240 = 384 in2 is your answer.

Answer:

V^2 + 4V + 4

Step-by-step explanation:

Answer:

brhnrnr e euebe ehe we je euebe ejeje

On solving the provided question, we can say that -  here in quadrilateral we have x + 146 + 47 + y = 360 => [tex]x= 83.5[/tex]

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,

x + 146 + 47 + y = 360

2x + 193 = 360

2x = 167

[tex]x= 83.5[/tex]

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