How do you find the two missing sides of an acute triangle?

Answers

Answer 1

Using the Pythagorean Theorem (a2 + b2 = c2), plug in the known side lengths to solve for the two unknown sides of an acute triangle.

1. Identify the two known side lengths of the triangle.

2. Plug the known side lengths into the Pythagorean Theorem equation (a2 + b2 = c2).

3. Solve for the two unknown sides of the triangle.

4. The two unknown sides are the lengths of the missing sides of the triangle.

5. To solve for the unknown side lengths, first, calculate the hypotenuse (the longest side) by finding the square root of the sum of the squares of the two shorter sides.

6. Then, calculate the shorter sides by subtracting the square of the hypotenuse from the sum of the squares of the two shorter sides.

7. Finally, use the Pythagorean Theorem to calculate the missing side lengths.

8. The two missing side lengths will be the unknown side lengths of the triangle.

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Related Questions

Hello good morning do anyone think they could help please

Answers

Answer:2

Step-by-step explanation:

Here it is. It’s the answer.

Complete the table using the relationship between A and B

Answers

Answer:

Step-by-step explanation:

1) 6.2

2)12.4

3) 18.6

what is the measure indicated in the parallelogram ​

Answers

Answer:

? = 74°

Step-by-step explanation:

• in a parallelogram, consecutive angles sum to 180° , that is

? + 106° = 180° ( subtract 106° from both sides )

? ( ∠ G ) = 74°

Charlie reads quickly. He reads 1 3/7 pages every 2/3 minutes. Charlie reads at a constant rate: How many pages foes he read per minute?

Answers

In one min Charlie can read is [tex]2\frac{1}{7}[/tex] pages at a constant rate.

What is Unitary Method ?

A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilize this technique for math computations.

In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or less quantities are subsequently determined. This approach is known as the unitary method for this reason. Due to the fact that they generate two distinct sorts of variations, there are two different types of unitary approaches.

Direct VariationIndirect Variation

In [tex]\frac{2}{3}[/tex] min Charlie can read [tex]1\frac{3}{7} = \frac{10}{7}[/tex] pages

In one min Charlie can read is: [tex]\frac{10}{7}*\frac{3}{2} = \frac{30}{14} = 2\frac{2}{14} =2\frac{1}{7}[/tex]

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You earned ten dollars. You spent two-fifths of what you earned. How much
did you spend?
dollars

Answers

Answer:

2 dolalrs

Step-by-step explanation:

You’ve spent 4 dollars.

A square playground has an area of 900 ft.what is the length of each side of the playground

Answers

Answer:

the answer is 225 square feet

Step-by-step explanation:

900÷4=225

Answer:

[tex]Area \ of \ square = l * l = l^2\\900 = l^2\\\sqrt{900} = l\\l = 30ft[/tex]

Since sides are equal both sides are 30ft each

Is (1,-2) a solution to this system of equations?
20x+20y=-2

2x+5y=-8
YES OR NO

Answers

The point (1, -2) is not a solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, the correct option is NO, the solution is (2.5, -2.6)

What is a system of equations?

A system of equations are two (or more) equations that have common variables.

The system of equation is presented as follows;

20·x + 20·y = -2

2·x + 5·y = -8

The specified possible solution of the equation is; (1, -2)

Making y the subject of each of the equations, and plugging in the value of x = 1, for the first equation, we get;

20·x + 20·y = -2

20·y = -2 - 20·x

y = (-2 - 20·x)/20

Therefore; y = (-2 - 20 × 1)/20 = -1.1

When x = 1, y = -1.1, therefore, the point (1, -2), is not a solution to the first equation, 20·x + 20·y = -2

Evaluating the second equation, we get;

2·x + 5·y = -8

5·y = -8 - 2·x

y = (-8 - 2·x)/5

Plugging in x = 1, we get;

y = (-8 - 2 × 1)/5 = -2

When x = 1, y = -2, therefore, the point (1, -2), is a point on the graph of the second equation, 2·x + 5·y = -8, but it is not a solution to the system of equation

The solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, can by found by equating both expressions for y as follows;

y = (-2 - 20·x)/20 and y = (-8 - 2·x)/5

Therefore; (-2 - 20·x)/20 = (-8 - 2·x)/5

-10 - 100·x = -160 - 40·x

60·x = 150

x = 150 ÷ 60 = 2.5

x = 2.5

y = (-2 - 20 × 2.5)/20 = -2.6

y = -2.6

The correct option is therefore, no, the solution to the system of equation is; (2.5, -2.6)

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Brianna is making fruit dip. The
recipe calls for 1/2 cup of yogurt
per serving. If the container has
3 cups of yogurt, how many
servings can she make?
Help hurry

Answers

the answer is 6 servings

Find the slope and y intercept of each line
NEED HELP ASAP!!

Answers

Answer:

1. slope: -2x

y-intercept:-2

2. slope:4x

y-intercept: 1

3. slope:-x

y-intercept: 4

4. slope: none

y-intercept: none

5. slope: 1/3x

y-intercept: 0

Step-by-step explanation:

1. equation

[tex]y = - 2x - 2[/tex]

2. equation

[tex]y = 4x + 1[/tex]

3. equation

[tex]y = - x + 4[/tex]

4. equation

[tex]x = - 2[/tex]

5. equation

[tex]y = - \frac{1}{3} x + 0[/tex]

Please hurry its timed

Answers

By algebra properties and trigonometric formulas, the roots x₁ = 30° + n · 360° and x₂ = 210° + n · 360° are solutions of trigonometric function tan x - √(1 - 2 · tan² x) = 0. (Correct choice: B)

How to determine the solutions of a trigonometric equation

In this problem we find a given trigonometric function, whose solution must be found by combining algebra properties and trigonometric formulas. First, write the entire expression:

tan x - √(1 - 2 · tan² x) = 0

Second, use algebra and root properties:

tan x = √(1 - 2 · tan² x)

tan² x = 1 - 2 · tan² x

3 · tan² x = 1

Third, clear x by algebra properties and inverse trigonometric properties:

tan² x = 1 / 3

tan x = √(1 / 3)

tan x = 1 / √3

tan x = √3 / 3

x = tan⁻¹ (√3 / 3)

x  = 30° or x = 210°

Since tangent function has a period of 2π (360°), then the solutions of the trigonometric function is:

x₁ = 30° + n · 360°, x₂ = 210° + n · 360°.

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Casey spends $29.00 on coffee each month. About how much dose Casey spend on coffee over 7 months ?

Answers

Answer:

203 dollars

Step-by-step explanation:

29 x 7

What number needs to be added to 5 and 3 so that the ratio of the first number to the second
becomes 4:3?​

Answers

Answer:

3

Step-by-step explanation:

Choose a variable to represent the number to be added to 5 and 3.

[tex]\frac{5+x}{3+x}=\frac{4}{3}[/tex]

"Cross-multiply."

[tex]3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x[/tex]

Check:  The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.

Question Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. f(x)=x4−6x3−8x+48; x−6

Answers

Answer:

(x-2)(x²+2x+4)(x-6)

Step-by-step explanation:

6 |  1  -6  0  -8  48

_____6_0_0_-48__

     1   0   0  -8  |  0

As we can see, our remainder is 0, so x-6 is indeed a factor of the polynomial. Also, we can see that the factored polynomial is [tex]x^4-6x^3-8x+48=(x^3-8)(x-6)=(x-2)(x^2+2x+4)(x-6)[/tex]

Write down the gradient and y intercept of each of these lines y=2x

Answers

Answer:

[tex]gradient = 2 \\ y - intercept = 0[/tex]

The gradient of this line is 2 and the y-intercept is (0, 0)

PLEASE HELP CUZ IMMA GIVE 50 POINTS

Answers

Answer:

10^14

10^27

10^18

10^6

10^6

10^35

Step-by-step explanation:

all of them are in order

If two powers are being mulitplied from the same base, then they are multiplied. For example, if 10^3 is being multiplied to 10^2, then the answer is 10^6.

If a power is being raised to another power, then the powers are multiplied. For example (10^7)^2 then the a simple form would be 10^14

Exponents get added together when multiplied.

A. 10^9

B. 10^12

C. 10^9

D. 10^5

E.10^5

F.10^12

Answers to these please no links or files

Answers

I think the answer is 4. She my attached picture of my work! I hope this helps you,have a great day!

4.1 is ten times as much as____

9.2 is ten times as much as___

Answers

Answer:

4.1 is 10 x 0.41

9.2 is 10x .92

Can I have brainliest?

Step-by-step explanation:

4.1 is ten times as much as 0.41

9.2 is ten times as much as 0.92

I WILL GIVE YOU 55 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. Name the point with the given coordinates (2, 4). (1 point)
H
J
G
K

Answers

It’s point G because it’s 2 to the left and 4 up which is (2;4)!

Answer:

G

Step-by-step explanation:

Given: (2, 4)

2 is the x coordinate, 4 is the y coordinate.

Determine the prices for which quantity demanded is greater than quantity supplied.

Answers

The prices where the quantity demanded is greater than quantity supplied are :

$ 2$ 1$ 0

When is quantity demanded greater than quantity supplied ?

Quantity demanded refers to the amount of goods and services that people and businesses in an economy demand.

This amount of goods and services demanded will be more than the quantity supplied when the price of the good or service is less than the equilibrium price.

The equilibrium price here is $ 3 and so the prices less than $ 3 are $2, $1, and $ 0.

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Which number is greatest?
19/5
V15
3.88

Answers

3.88 is the greatest then V15 and 19/5 is the least

Find the cost of 1m 30cm at 80p per meter.

Answers

Answer:

120p

Step-by-step explanation:

if its 80 per meter then all you do is multiply 80 by 1.5 (1.5m = 1m 30cm) and you get 120p simple as that

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What is the y-intercept of the equation 16 = x2 - 8x + 16?

Answers

Answer:

I believe Its 16

Step-by-step explanation: In Y=mx+b The y-intercept is always B which in this equation would be 16.

HELP ME PLEASE!! WILL GIVE BRAINLIEST!!

Answers

Answer:

r = [tex]\sqrt{9}[/tex] or 3

Hope this helps!

help me please anyone

Answers

9514 1404 393

Answer:

  (2x -1) by (x +5)

Step-by-step explanation:

We presume that the dimensions of the parking lot correspond to factors of the polynomial. The factorization is ...

  2x^2 +9x -5

  = 2x^2 +10x -x -5

  = 2x(x +5) -1(x +5)

  = (2x -1)(x +5)

Possible dimensions of the parking lot are (2x-1) and (x+5).

Simplify. Consider all the cases. |7-(12-x)|

Answers

Answer: |x-5|

Step-by-step explanation:

I dont know how to exlplain it

At the end of a snowstorm, Peyton had 8 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 1 inch per hour. Assuming no more snow was falling, how much snow would Peyton have on her lawn 2 hours after the snow began to melt? How much snow would Peyton have on her lawn after t hours of snow melting?

Answers

The amount of snow on Peyton's lawn after 2 hours is 4 inches

amount of snow after t hours y = 8 - t

How to model the required equation

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable to suit the problem

y = output variable = amount of snow remaking

m = slope = 1 inch per hour

x = input variable = number of hours

c = y intercept = 8 inches of snow on Peyton's lawn

The equation as described in the problem is represented using linear function as as follows

y = 8 - x

in 2 hours x = 2

y =8 - 2 = 4 inches

The quantity of snow after t hours

x = t

y = 8 - t

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Do the values in the table represent a proportional relationship?


x 2 3 4 5

y 5 6 7 8

Select from the drop-down menu to correctly complete the statement.


All of the y-values

Choose.

a constant multiple of the corresponding x-values, so the relationship

Choose

Answers

Values of x and y in table does not represent a proportional relationship.

From the table x values 2, 3, 4 and 5 corresponds to values of y 5, 6, 7 and 8 respectively. The ratio of x value and y value is

2/ 5 = 0.4

3/ 6 = 0.5

4/ 6 = 2/ 3 ≈ 0.67

5/ 8 = 0.625

As the ratio is not constant, the values in table does not represent a directly proportional.

The value of xy is

2×5 = 10

3×6 = 18

4×7 = 28

5×8 = 40

Again as the value of xy is not constant, so they are not inversely proportionally.

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Zachary is a waiter at a restaurant. Each day he works, Zachary will make a guaranteed wage of $40, however the additional amount that Zachary earns from tips depends on the number of tables he waits on that day. From past experience, Zachary noticed that he will get about $7 in tips for each table he waits on. How much would Zachary expect to earn in a day on which he waits on 11 tables? How much would Zachary expect to make in a day when waiting on tt tables?

Answers

Zachary expects to make $40 + $7 x tt (number of tables) in a day when waiting on tt tables

If Zachary waits on 11 tables, he can expect to make an additional $7 in tips for each table, for a total of 11 tables * $7/table = $77 in tips.

When added to his guaranteed wage, Zachary can expect to earn $40 (guaranteed wage) + $77 (tips) = $117 for that day.

To calculate how much Zachary would expect to make in a day when waiting on tt tables, we can use the equation:

Earnings = $40 (guaranteed wage) + $7 (tips/table) x tt (number of tables)

So if tt represents the number of tables Zachary waits on, then he can expect to earn:

Earnings = $40 + $7 x tt

For example, if Zachary waits on 15 tables, he can expect to earn $40 + $7 x 15 = $190.

Zachary can use this equation to calculate his expected earnings for any number of tables he waits on in a day.

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In our class there are 40 boys. 22 students are girls write a ratio comparing girls to boys

Answers

Answer:

Its 22:40

Step-by-step explanation:

Answer: 22:40
Pretty simple

Step-by-step explanation:

identify the vertical and horizontal asymptotes for f(x)=2x^2+4 over x^2-5x+6

Answers

The vertical asymptotes are 2 and 3 and horizontal asymptotes is 2

What are horizontal and vertical asymptote?

An asymptote is a horizontal/vertical oblique line whose distance from the graph of a function keeps decreasing and approaches zero, but never gets there.

Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function.

Therefore, the denominator is x²-5x+6,

= x²-5x+6 = 0

using factorization method

x²-3x-2x+6 = 0

(x²-3x)(-2x+6) = 0

x(x-3) -2(x-3)

x-2 = 0 or

x-3 = 0

x = 2 or 3

The degree of the power of numerator and denominator are equal, there for the horizontal asymptote y = 2x²/x² = 2

therefore the vertical asymptote is x = 2and 3 and horizontal asymptote is y = 2

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