use the pythagorean theorem to find the value of c.​

Use The Pythagorean Theorem To Find The Value Of C.

Answers

Answer 1

Answer:

c = [tex]\sqrt{296}[/tex]

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle , with c the hypotenuse

c² = 10² + 14² = 100 + 196 = 296 ( take the square root of both sides )

c = [tex]\sqrt{296}[/tex] ≈ 17.2 ( to 1 dec. place )


Related Questions

There is a mixed group of 100 students and/or teachers; 45 are boys, 55 are girls, and 23 are female teachers. People are selected at random. What is the probability that the person chosen is either a boy or a teacher?

Answers

Answer:

68%

Step-by-step explanation:

Help me please and thank you!

Answers

Answer:

-4/3

Step-by-step explanation:

-2 - 1 is -3

6-2 is 4

Please help I don’t understand this

Answers

9514 1404 393

Answer:

  WV = 6

Step-by-step explanation:

The hash marks indicate the corresponding lines are the same length. That is, W is the midpoint of YZ, because YW ≅ WZ. Similarly, V is the midpoint of XY, because XV ≅ VY.

Using this information, it can be shown that ∆YWV ~ ∆YZX. This means corresponding sides have the same ratio.

Because YW is half of YZ, WV is half of ZX.

  YW/YZ = 1/2 = WV/ZX = WV/12

Multiplying by 12 gives the value of WV:

  WV = 12(1/2)

  WV = 6

_____

This is a long way to say that the midsegment (WV) is half the length of the base (ZX) of a triangle.

1) The sum of two numbers is 6. If one number is subtracted from the other, their difference is 4. Find the
numbers.

Answers

Answer:

One number is 5 and the other is 1.

Step-by-step explanation:

Let the numbers be x and y.  Then x + y = 6 and x - y = 4.  We must solve this system of equations:

x + y = 6

x - y = 4

Combining these equations temporarily eliminates y:

x + y = 6

x - y = 4

--------------

2x     = 10

Then x = 5.  Since x - y = 4,

5 - y = 4

and so y must be 1.

The solution is (5, 1).  One number is 5 and the other is 1.

Find the value of c in the triangle shown below.
9
8
Choose 1 answer:

Answers

a^2 = c^2 - b^2

9^2 - 8^2

81-64 = 17

Square root of 17 = 4.12311

So x = 4

Perform the indicated operation. Be sure the answer is reduced.

Answers

Answer:

It's the middle option

Step-by-step explanation:

ORIGINAL ANSWERS PLEASE
A student's course grade is related to class attendance. The grade can be modeled by the equation y = 0.66x + 33.3, where y is the student's grade as a percentage and x is the number of days that the student attended class. For a student who was in attendance for 75 days and has a grade of 82%, find and interpret the residual.

Answers

The residual of the given situation is 0.8

What is residual of a function?

The residual for each observation is the difference between predicted values of y (dependent variable) and observed values of y.

Given that, The grade can be modelled by the equation y = 0.66x + 33.3, where y is the student's grade as a percentage and x is the number of days that the student attended class. We are asked to find residual if student who was in attendance for 75 days and has a grade of 82%,

Finding the actual value,

y = 0.66 × 75 + 33.3

y = 82.8

The predicted value = 82

Residual = actual y value − predicted y value

Therefore,

Residual = 82.8-82 = 0.8

Therefore, y = 0.8

Hence, the residual of the given situation is 0.8

For more references on residual of a function, click;

https://brainly.com/question/28850553

#SPJ1

Write answer in scientific notation

Answers

Answer:

5 x 10^7

Step-by-step explanation:

(5 x 10^4)·(1 x 10³) = 5 x 10^7 = 50 million

What is the quotient of 1. 782 x 109 and 8. 1 x 106 expressed in scientific

notation?

Answers

The quotient of 1.782 × 10⁹ and 8.1 × 10⁶ in scientific notation is 2.2 × 10². The result is obtained by using the quotient rule.

What are the rules for exponents?

Several rules for exponents are

Product rule → aⁿ × aˣ = aⁿ⁺ˣQuotient rule → aⁿ / aˣ = aⁿ⁻ˣPower of a product rule → (ab)ⁿ = aⁿ × bⁿPower of a quotient rule → (a/b)ⁿ = aⁿ / bⁿPower of a power rule → (aⁿ)ˣ = aⁿˣZero rule → a⁰ = 1

Find the quotient of 1.782 × 10⁹ and 8.1 × 10⁶!

Dividing the first number by the second using the quotient rule, it would be

= (1.782 × 10⁹) / (8.1 × 10⁶)

= (1.782/8.1) × (10⁹/10⁶)

= 0.22 × 10⁹⁻⁶

= 0.22 × 10³

In scientific notation, we should write a.b × 10ⁿ, where 1 ≤ a < 10 and n is an integer.

So,

0.22 × 10³ = 2.2 × 10²

Hence, the result of 1.782 × 10⁹ divided by 8.1 × 10⁶ in scientific notation is 2.2 × 10².

Learn more about quotient rule here:

brainly.com/question/15568137

#SPJ4

you do not have to exsplain

Answers

Answer:

V=87.92

Step-by-step explanation:

v=bh,V=3.14*2*2*7

How do you solve complex fraction equations?

Answers

To solve complex fractions there are two methods -

1 - Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator and then simplify further if necessary.

2 - Multiply the numerator and denominator of the overall complex fractions and then simplify further if necessary.

What is a complex fraction?

A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction.

There are two ways to solve a complex fraction -

Method 1 : Take an example - (1/3-1/4)/(1/8+1/2)

Step 1 - If necessary, combine the denominator and numerator into a single fraction.

Add the numerator -

=1/3-1/4

=(4-3)/12

=1/12

Add the denominator -

=1/8+1/2

=(1+4)/8

=5/8

Combine back to form a complex fraction -

=(1/12)/(5/8)

Step 2: Multiply the numerator by the denominator's reciprocal, then divide the result by the denominator.

Step 3: Simplify the rational expression if necessary.

=(1/12)×(8/5)

=8/60

=2/15

Method 2: Take an example - [(2x+1)/(x^2-25)]/[(4x^2-1)/(x-5)]

Step 1 - Divide the LCD of the smaller fractions by the numerator and denominator of the total complex fractions.

(x^2-25)=(x+5)(x-5)

The denominator of the denominator’s fraction  has the following factor -

(x-5)

Using the highest exponent and combining all the other factors, we arrive at the LCD shown below for all the little fractions -

(x+5)(x-5)

By multiplying the LCD by the numerator and denominator -

=[{(2x+1)/(x+5)(x-5)}×(x+5)(x-5)]/[{(2x+1)(2x-1)/(x-5)}×(x+5)(x-5)]

=(2x+1)/(2x+1)(2x-1)(x+5)

Step 2 - Simplify the rational expression if necessary.

=(2x+1)/(2x+1)(2x-1)(x+5)

=1/(2x-1)(x+5)

Therefore, there are two methods to solve complex fractions.

To learn more about complex fraction from the given link

https://brainly.com/question/30154926

#SPJ4

How do I do this function stuff I’m been kinda confused

Answers

Explanation:

When solving a function, you plug in the given [tex]x[/tex]-value (what's inside the parentheses next to the [tex]g[/tex] or [tex]f[/tex]) into the corresponding equation (what [tex]f(x)[/tex] and [tex]g(x)[/tex] are set equal to).

Before starting the worksheet, take a simpler example:

Given the function [tex]h(x) = x + 2[/tex],

the following work solves for [tex]h(3)[/tex].

[tex]h(3) = 3 + 2[/tex]

[tex]h(3) = 5[/tex]

Essentially, to solve for the value of a function for a given [tex]x[/tex]-value, simply plug in that value in for [tex]x[/tex] and simplify the resulting expression.

Onto problem 14 from the given worksheet:

We are given [tex]f(x) = 3x + 2[/tex] and are asked to solve for [tex]f(4)[/tex].

Hence, all we have to do is plug [tex]4[/tex] in for [tex]x[/tex]:

[tex]f(4) = 3(4) + 2[/tex]

[tex]f(4) = 12 + 2[/tex]

[tex]f(4) = 14[/tex]

You can apply this concept to the rest of the problems.

Karen drew a triangle The longest side of Karen's triangle measures 8 inches What must be true about the lengths in inches a and b of the two shorter sides of Karen'sHow many triangles can be drawn with side lengths 3, 5, and 9

Answers

The 9 inches side must be the hypotenuse, and the other two sides must be 3 inches and 5 inches.

What is hypotenuse in a Triangle?

n a triangle, the longest side (the hypotenuse) is opposite the largest angle, and the other two sides are opposite the smaller angles. According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the length of the third side. So, if the longest side of Karen's triangle measures 8 inches, it means that the sum of a and b (the two shorter sides) must be greater than 8 inches. Therefore [tex]a+b > 8 inches[/tex].

For the second part of your question, only one triangle can be drawn with side lengths 3, 5, and 9. The three numbers 3, 5, and 9 form a Pythagorean triple, meaning they can be used as the lengths of the sides of a right triangle. Since the longest side (the hypotenuse) must be greater than the other two sides, the 9 inches side must be the hypotenuse, and the other two sides must be 3 inches and 5 inches.

To know more about Triangle Inequality Theorem visit: https://brainly.com/question/1163433

#SPJ4

—PLEASE HELP QUESTION IS IN THE PIC—

Answers

Answer:

I'm pretty sure the answer is B.

Step-by-step explanation:

so you multiply 3x4 and get 12. Then you multiply 5x11 and get 55. last but not least multiply 12 and 55 and get 660 so yeah hope it helps

Describe the likehood of the event given its probability . you make a free throw 70 percent of the time

Answers

Answer:

Yes. 70% is a good percentile, most people understand the workings of a free throw (where you stand on the line, how to place your feet, how to shoot) and standing still gives you an advantage. For the people who don’t understand the workings, they are apart of that 30%.

Triangle ABC is similar to triangle DFE. What scale factor is required to dilate triangle DFE so that its image, D′F′E′, is congruent to triangle ABC?

Answers

Answer:

1/4

Step-by-step explanation:

Aliyah had $28 to spend on six pencils.After buying them she had $10. How much did each pencil cost?

Answers

Answer:

$3

Step-by-step explanation:

28-10=18

18/6=3

Each pencil cost $3.

First you subtract 28 - 10 which equals 18. This is because you already know Aliyah didn’t spend those $10 on pencils. So it says she bought 6 pencils with $18. To find out how much each pencil cost you divide. 18 divided by 6 equals 3. So each pencil costs $3. I hope this helps!

Which of the following will cause a logical error if you are attempting to compare x to 5?
Answers:
a. if (x >= 5)
b. if (x = 5)
c. if (x == 5)
d. if (x <= 5)

Answers

Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

To know more about Logical Error:

https://brainly.com/question/28957248

#SPJ

What is an equation of the line that passes through the points (-3, -5) and (-3, -8)?

Answers

This is an undefined problem

Answer:

x = -3

Step-by-step explanation:

Hi there!

Typically, linear equations would be organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis).

However, notice how the two x-coordinates of the given points are the same. They're both -3. This means that this is a vertical line, and vertical lines are organized in this equation: x=d where d is the x-intercept (the value of x when the line crosses the x-axis).

We know that the x-intercept is -3, since all the x-coordinates of the points that a vertical line passes through are the same. Therefore, the equation of this line is x=-3.

I hope this helps!

9.

Choose the linear inequality that describes the graph. The gray area represents the shaded region.


A. 4x – y ≥ 4

B. 4x + y < 4

C. 4x + y > 4

D. 4x + y ≥ 4

Answers

Answer:

D. 4x + y ≥ 4

Step-by-step explanation:

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 15x. What is the area of the metal frame? (Type your answer in factored form. Type an exact answer in terms of pi.


The area of the frame is __ square units

Answers

The area of the frame is 196.73 x²

What is area ?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Area is a phrase used to describe how much room a 2D form or surface occupies. Area is measured in square units, such as cm2 or m2. The area of a form is computed by dividing its length by its breadth.

(15x)^2 = 225x^2

Area of the frame

= π (3x)²

= 28.27 x²

Metal area surrounding the frame

225 x² - 28.27 x²

= 196.73 x²

To learn more about area from the given link

https://brainly.com/question/25292087

#SPJ4

what is 5 2/3 x 3/4 equal?

Answers

Answer: 4 1/4

Step-by-step explanation: Decimal= 4.25

Answer:

Exact form: 17/4

Decimal Form: 4.25

Mixed number form: 4 1/4

Triangle DEF was dilated according to the rule DO,One-third(x,y)(one-third x, one-third y) to create similar triangle D'E'F'.

On a coordinate plane, (0, 0) is the center of dilation. Triangle F D E is dilated to create smaller triangle F prime D prime E prime. Triangle F D E has points (negative 9, 3), (negative 9, 9), (negative 6, 6). Triangle F prime D prime E prime has points (negative 3, 1), (negative 3, 3), and (negative 2, 2).

Which statements are true? Select three options.

∠F corresponds to ∠F'.
Segment EE' is parallel to segment FF'.
The distance from point D' to the origin is One-third the distance of point D to the origin.
The measure of ∠E' is One-third the measure of ∠E.
△DEF △D'E'F'

Answers

A. ∠F corresponds to ∠F' is True.

B. Segment EE' is parallel to segment FF' is False.

C. The distance from point D' to the origin is One-third the distance of point D to the origin is True.

D. The measure of ∠E' is One-third the measure of ∠E is False.

E. △DEF ~ △D'E'F' is True.

What is Dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Given:

As triangle DEF was dilated according to the rule DO, One-third(x, y)(one-third x, one-third y) to create similar triangle D'E'F'.

and, The center of dilation = (0, 0)

Also, Triangle FDE has points: (- 9, 3), (- 9, 9), (- 6, 6).

Triangle F'D'E' has points : (- 3, 1), (- 3, 3), (- 2, 2)

A) ∠F corresponds to ∠F'. ( True)

B) Segment EE' is parallel to segment FF'. (False)

As they intersect each other at the origin.

C) The distance from point D' to the origin is One-third the distance of point D to the origin.    ( True)

Now, the length of DE

D = √(-9-0)² + (-9-0)²

D = 9√2

and, length of D'E'

D = √(-3-0)² + (-3-0)²

D = 3√2

Thus, DE / D'E' =  3√2/  9√2 = 1/3

D) The measure of ∠E' is One-third the measure of ∠E. ( False)

E)  △DEF ~ △D'E'F'.  ( True)

As they are similar triangles.

Learn more about dilation here:

https://brainly.com/question/16015186

#SPJ1

Answer:

A. ∠F corresponds to ∠F'.

C. The distance from point D' to the origin is 1/3 the distance of point D to the origin.

E. △DEF ~△D'E'F'

Step-by-step explanation:

got it right on edge 23

HELPPPPPPPPPPPPPPPPP

Answers

Answer:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

5/6 roughly equals to 0.8

The answer is C

Which of the following best estmates the sum: 1/2 + 1/3

Answer: C) 0.8

Please help with this question

Answers

Answer:

92°

Step-by-step explanation:

We can say that the angle that is of x degrees is an inscribed angle because its vertex is on the circle and its sides are made up of rays. When you have an inscribes angle, it measures exactly half the angle it intercepts. In this case that angle is 184°. So, because of this we can say:

x = 184° / 2

x = 92°

Bob bought 40 gumballs from a quarter machine. The number of each flavor he got is shown in the table.
- grape amount 4
- cherry amount 12
- Cola amount 16
- Orange amount 8
If there are 140 gumballs left in the machine, what is a good prediction for the number of cola flavored gumballs left?

Answers

Answer:

56 Cola-flavored gumballs remaining.

Step-by-step explanation:

There are 180 gumballs. Bob purchased 40 gumballs, which leaves 140 gumballs remaining.

There are four flavors. This is the chance (shown as a percentage) of each flavor Bob recieved:

║GR: 4 ⇒ 10%

║CH: 12 ⇒ 30%

║CO: 16 ⇒ 40%

║OR: 8 ⇒ 20%

So, how can we predict the number of Cola flavored gumballs remaining?

[There is a 40% chance of getting a Cola-flavored gumball from the machine. If we find 40% of 140, we can predict that is close to the number of Cola gumballs left in the machine]

║0.40 ⋅ 140 = 56

40% of 140 is 56, so we can predict there are 56 Cola-flavored gumballs remaining.

Jeri had 1 ¾ pounds of gummi worms, which she shared equally with her best friend. How many pounds of gummi worms did they each get? PLZ HELP

Answers

They have 0.875 pounds of gummy each

Just divide by 2

i need help with number seven with a full explanation please

Answers

The value of x would be 32.

What are a congruent quadrilaterals?

In geometry, two figures are congruent if they have the same size and shape. Congruent figures can be moved or oriented in different ways, but they will always match up exactly. In the case of quadrilaterals, they are congruent when they have the same side lengths and corresponding angles.

In the given figure PQRS ~ WXYZ

x = YZ

x = 32.

Hence, the value of x would be 32.

To learn more about the congruent quadrilaterals, visit:

https://brainly.com/question/29715365

#SPJ1

By analyzing the figure, The value of x would be 32.

What are a congruent quadrilaterals?

In geometry, two figures are congruent if they have the same size and shape. Congruent figures can be moved or oriented in different ways, but they will always match up exactly. In the case of quadrilaterals, they are congruent when they have the same side lengths and corresponding angles.

In the given figure PQRS ~ WXYZ

x = YZ

x = 32.

Hence, the value of x would be 32.

To learn more about the congruent quadrilaterals visit:

brainly.com/question/29715365

#SPJ1

if 0°<0<90° and sin0=12/13, find cos0 using trigonometric identities.

• 12/5
• 5/12
• 12/13
• 5/13

Answers

here's the solution,

we know :

[tex] \sin( \theta) = \dfrac{perpendicular}{hypotenuse} [/tex]

So,

[tex] \dfrac{p}{h} = \dfrac{12}{13} [/tex]

so.. let the perpendicular be 12x and hypotenuse be 13x

now,

by applying pythagoras theorem,

[tex]b {}^{2} = h {}^{2} - p {}^{2} [/tex]

where,

b = base h = hypotenuse p = perpendicular

So,

[tex]b {}^{2} = ({13x})^{2} - ({12x})^{2} [/tex][tex] b {}^{2} = 169x {}^{2} - 144x {}^{2} [/tex][tex] {b}^{2} = 25x {}^{2} [/tex][tex]b = 5x[/tex]

so,

[tex] \cos( \theta) = \dfrac{b}{h} [/tex]

[tex] \cos( \theta) = \dfrac{5x}{13x} [/tex]

[tex] \cos( \theta) = \dfrac{5}{13} [/tex]

hope it helps !!

what is the volume of cylinder when the radius is 3 and height is 13.33

Answers

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=13.33 \end{cases}\implies V=\pi (3)^2(13.33)\implies V\approx 376.90[/tex]

Other Questions
A pen producer in a monopolistically competitive market recently changed ink suppliers which caused a decrease in total cost of production. Using the data collected below, which includes the firm's new cost schedule, what should this firm set price and quantity at to maximize profits on pen sales? Costs of Production for Boxes of Pens Price Quntity Total Revenue Total Cost Marginal Revenue Marginal Cost $16 0 $50 $15 50 $750 $700 $15 $13$14 100 $1,400 $1,350 $13 $12$13 150 $1,950 $1,850 $11 $11$12 200 $2,400 $2,350 $9 $10$11 250 $2,750 $2,800 $7 $9$10 300 $3,000 $3,200 350 $3 $7 Can yall help me with socratic seminar answers to these questions about Fahrenheit 4511. What is the significance of Bradbury having the story take place in the season of autumn?2. In the beginning of the book, Montag says that it is illegal for firemen to read the books they burn. However, Captain Beatty seems to have read a whole bunch of books. Based on how Beatty talks about books, what do you think his experience with books was like?3. When Montag comes back on land after escaping the Hound, he sees a fire with people sitting all around it. Here, he realizes that fire is also capable of warming and not only burning. What are some similar moments in other books or shows where the characters realize they are seeing an object or a natural force with the wrong perspective? What were Roman vaults made of? (please help with good answer asap) Describe what a sole proprietorship is, and identify its advantages and disadvantages. Describe what a corporation is, and identify the advantages and disadvantages of the corporate structure. Answer: Question 19 (3 points)When you are drawing a straight line with the Bezier tool, what happens when youpress Shift+U?Choose the answer.A)The line switches to being drawn with the Pencil tool.B)The line changes to a curve.C)The display is zoomed in.D)The nodes are displayed or hidden. Using the graph above, which species has the highest management costs?brown tree snakesfire antsmosquitoestermites Hi I have a basic English exam tomorrow :))English isnt my first language so its kinda hard for me Can someone please help me ? How did President Reagan attempt to return responsibilities to the states?1-He increased defense spending and supported the Strategic Defense Initiative.2-He supported the Tax Reform Act of 1986, which simplified the tax code.3-He made tax cuts and vetoed legislation for increases in federal government spending.4-He maintained certain federal programs, such as the Social Security program. In a '15% off sale, Freya bought a DVD player for 179. 99. What was the original price of this DVD player? In the first paragraph, DuBois states that because Black people live inAmerica, they possess a second sight. America is a world which yields himno true self-consciousness, but only lets him see himself through therevelation of the other world." The term coined for this phenomenon isdouble consciousness. Which would be the best explanation for this term?A Black people only being aware of their African heritageB Not wishing to be seen as either Black, nor AmericanC Being able to understand oneself based upon how others see him/herD Never embracing American ideals, since American enslaved Black people Can someone write a code that makes circles change colors. Name it update () function. tan took Lily to his friends restaurant on a date. The friend told the waiter to remove the $12 dessert from Stans bill. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip. Fill in the blanks to write an equation that will determine the amount of the original bill, b.(2 points)___(b ___) = ___ What is the value of y (angles) Understanding the structure of commercial banks and the services/products that they provide is essential for the successful leadership of any commercial enterprise. While fundamental knowledge of the industry as a whole is important, it is equally crucial to assess the risk profile of counter-parties to ensure that appropriate steps have been taken to mitigate this risk as much as possible.To understand the risk associated with corporate banking activities more, prepare a written response to the following questions:What is meant by off-balance sheet activity?What specific types of off-balance-sheet items would you expect for commercial banks?How does an off-balance-sheet item move onto the balance sheet?How do you assess the risk of off-balance-sheet items? Rebekah gave inappropriate attention to the glamorous actress; she practically ___________ the actress Why do you think that non-African nations supported certain factions that claimed power in the newly independent nations of Africa? Evaluate the exs press ion when a=2 and c= -6. 2a+c A transaction that lacks a bargained-for exchange lacks an element of consideration.TrueFalse If 400g of ice at -2C i placed in 1 kg of water at 21C what i the end product when equilibrium i reached? find the height of the prism is the volume is 740cm cubed edulastic