find the missing side of each triangle using the pythagorean theorem

Find The Missing Side Of Each Triangle Using The Pythagorean Theorem

Answers

Answer 1

Answer:

x=5

Step-by-step explanation:

The pythagorean theorem stats a^2+b^2=c^2. We are already given the values of the two legs of the triangle so we need to solve for the length of the hypotenuse (the longest part of the triangle). To do so, you put in 3 and 4 as a and b so you get 3^2+4^2=c^2. After squaring both numbers you get 16+9=c^2. Then you add 16 and 9 to get 25=c^2. To get rid of the power of 2, we square root both sides to get rid of the exponent. Since 25 is a perfect square, you get c=5 which means that the x value eqals 5.


Related Questions

The figure below shows ∠ABC formed by the hands of the clock at 4 o’clock. What is the measure of ∠ABC?

Answers

Answer:

120°

Step-by-step explanation:

30° x 4 = 120°

Full turn is 360

half is 180

and 180 degree = 6 parts

180÷6=30


Find the values of the constants p and q if the lines px + 5y = 7 and
4x + qy = 5 meet at the point (2, -1). If the lines meet the y-axis at A and B
obtain the distance AB.

Answers

Answer:

2/5

Step-by-step explanation:

How many solutions will the equation have?
|x- 13| - 5= -5

Answers

Answer: x=13

Step-by-step explanation: Hope this help :D

Answer:

One Solution

__________

x = 13

__________

Explanation:

| x – 13 | – 5 = -5

[Add 5 to both sides to isolate | x – 13 | and cancel out –5]

| x – 13 | – 5 + 5 = -5 + 5

[Reduce]

| x – 13 | = 0

[An absolute value can include both a positive and negative value so |x| = n → x = ±n ]

x – 13 = ± 0

[Add 13 to both sides to get the value of x]

x – 13 + 13 = 13 ± 0

x = 13 ± 0

[Adding or subtracting zero will leave you with the same number]

x = 13

Show that A and B are not similar matrices. A = 2 1 −4 9 , B = 3 −1 −5 7 Since A has characteristic polynomial p() = and B has characteristic polynomial p() = , the two matrices are not similar.

Answers

Answer:hey besties

Step-by-step explanation:

Pew pew

7. Elijah is 5'9" tall and casts a 4-foot shadow.
He is standing near a tree that casts a
24-foot shadow. How tall is the tree?
A. 30.2 feet
B. 32.8 feet
C. 34.5 feet
D. 36.1 feet

Answers

C). 34.5 feet
If the shadow of the tree is 6 times the shadow of Elijah. Then The tree is 6 times the die of Elijah We can consider similar triangles
5ft x 6 = 30 ft
9 inches x 6 = 54 inches. = 4.5 feet
30 +4.5 = 34.5

Malia and her sister walk at a constant rate of 4 miles per hour. At this constant rate, how long should it take Malia and her sister to walk 3 miles?
A. 0.75
B. 1.25
C. 1.5
D. 12

Answers

A is the answer as 3/4 is 0.75

giving brainliest !!!!!

Answers

Answer:

400mm

Step-by-step explanation:

20x20=400

If m R = 29, what is m O? The figure is not drawn to scale


A. 29

B. 61

C. 151

D. 58

Answers

Cccccccc.................

Find the value of x.
6
14
3x-12
8
8
21
x = [?]

Answers

Answer:

Step-by-step explanation:

That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:

[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:

14(3x - 12) = 21(6) and

42x - 168 = 126 and

42x = 294 and

x = 7

Im currently in Algebra 2
This is supposed to be a substitution method problem.
2x-2y=2 and x-3y=6

Answers

After using substitution, x= -3/2 and y=-5/2 should be your answer.

The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced to a mass of 7 mg.

Answers

Answer:

I think this is correct but im not sure..

Step-by-step explanation:

12 days is 3 half-lives ... so, 1/8 initial ... (1/2)^3 = 1/8

... initial is 8 mg

4 weeks is 7 half-lives ... 8 mg * (1/2)^7 = ?

Answer:

56 mg

Step-by-step explanation:

Let the initial mass of sample is x mg

We have the following equation:

x* [tex](\frac{1}{2}) ^{12/4}[/tex]= 7x*[tex](\frac{1}{2}) ^{3}[/tex] = 7x*[tex](\frac{1}{8} )[/tex] = 7x = 7*8x = 56 mg

Robert works for Southern Consulting as a sales executive. He is paid a monthly salary of $3,350.00 plus a straight commission of 4.3% on all sales over $10,100.00. If he sells $15,300.00, what is his total gross pay for the month?​

Answers

Answer:

$3,573.60

Step-by-step explanation:

.043 x (15300 - 10100) = 223.60

223.60 + 3350.00 = 3573.60

If cos A= 1/8 With A in QIV, find sec A/2
Show work

Answers

Recall the half-angle identity,

cos²(x/2) = (1 + cos(x))/2

The angle A terminates in the fourth quadrant, so 270° < A < 360°. Then the corresponding half-angle terminates in the second quadrant, since 135° < A/2 < 180°, so cos(A/2) < 0. This means

cos(A/2) = - √((1 + cos(A))/2) = -3/4

so that

sec(A/2) = 1/cos(A/2) = -4/3.

Auntie Sammy buys a hand bag. There was a discount
of 20%.
If Auntie Sammy paid $245, what was the original price?

Answers

Answer:

Step-by-step explanation:

I think the original proce would be  $265

1. Subtract the percentage discount from 100

100 - 20= 80

2. Multiply the final price($245) by 100

245 × 100= 24,500

3. Divide the answer in step 2 by the answer in Step 1

24,500 ÷ 80= $306.25

answer is $306.25

How to check to ensure your answer is correct:

1. Multiply the "answer" by the discount price divided by 100. This will give the discount percentage in dollars.

$306.25 × 0.2( which is 20÷100)= $61.25(discount in dollars)

2. Subtract the discount in dollars from the "answer"

$306.25 - $61.25= $245(final price is the same as in the problem so it is correct)

OR

1. Multiply the original price by the number you get from step 1 in your problem divided by 100

$306.25 × 0.8(80 from the very first step divided by 100)= $245(the final price is the same given in the question)

Correct answer please i need help

Answers

9514 1404 393

Answer:

  -368.8 ft

Step-by-step explanation:

distance = velocity × time

Here, we'll use a negative for speed downward, and positive for speed upward.

  elevation = (-4.5 ft/s)(98 s) +(1.9 ft/s)(38 s) = -441 ft +72.2 ft

  elevation = -368.8 ft

what is y−(−3y) help plzz

Answers

It will be y+3y and the answer is 4y
Your answer:

The answer is 4y

Pianni Beverages produce two ready-mixed cocktail drinks; the Zombie and the Skyjack. Each is a mixture of vodka, vermouth, and ginger. It takes 3 litres of vodka, 6 litres of vermouth and 1 litre of ginger to make 10 litres of Zombie. It takes 5 litres of vodka, 3 litres of vermouth and 2 litres of ginger to make 10 litres of Skyjack.
The company makes £150 profit per 10 litres of Zombie and £200 profit per 10 litres of Skyjack. The maximum available supplies per day are: 1500 litres of vodka, 1500 litres of vermouth and 400 litres of ginger. Pianni Beverages wants to maximize profits on a daily basis by producing the optimal number of Zombie and Skyjack.

Answers

Answer:

£32000 is the answer to that question and I appreciate your help

Select the correct answer from each drop-down menu. Graph the function . The vertex of the graph is at ___. The direction in which the graph opens is ___.

Answers

Answer:

The vertex of the graph is at (0,12)

The direction the graph opens is upward.

Step-by-step explanation:

Answer:

The vertex is (0,12)

The graph opens in a upward direction

Step-by-step explanation:

I got this correct on my test, hope this helped

W-6.67=2.27

I need help with this

Answers

W is equal to 8.94 !!

Find the area of the complex figure.

Answers

Answer:

1,863

Step-by-step explanation:

1,873 is the answer..

Need help will mark Brainliest

Answers

Answer:

53 degrees

Step-by-step explanation:

The slope of a line is 0, and the y-intercept is 6. What is the equation written in slope intercept form.

Answers

Answer:

y=0x+6

Step-by-step explanation:

slope intercept form is: y=mx+b

Which of the equations below could be the equation of this parabola?
10+
(0, 0)
10
Vertex
-10
O A. x = 3y2
B. y = 3x2
O C. X=-3y2
D. y = -3x2

Answers

Answer:

C. x=-3y^2

Step-by-step explanation:

The group of parabola opens left so, x=ay^2

parabola opens left so a in negative x=-3y^2

Hope it helps....

Find the length of the third side. If necessary, write in simplest radical form

Answers

HERE,

the [tex]\huge{\triangle}[/tex]is a right angle traingle.

length of one side=[tex]\bold{ 1  }[/tex] 

length of another side =[tex]\bold{\sqrt{3}  }[/tex] 

so,

the length of third side=

[tex]\bold{\sqrt{(1)^{2} +({\sqrt{3}})^{2}}   }[/tex] 

[tex]\bold{\sqrt{1+3}   }[/tex] 

[tex]\bold{\sqrt{4}   }[/tex] 

[tex]{\huge{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{2}}}}}}[/tex]

[tex]\therefore[/tex],the length third side of the traingle is 2.

twice a number x added to 10

2x + 10

x + 10

10x + 2

2x/2 + 10

Answers

Answer:

2x+10

Step-by-step explanation:

whatever your number is (x) you would multiply by 2 then add that to 10

3/4 divded by 6/4 - PLEASE HELP

Answers

Answer:

Exact form: 1/2

Decimal form: 0.5

Step-by-step explanation:

Answer:

1/2 is the answer

Step-by-step explanation:

3/4 * 4/6

1/2

What’s the volume of this ? Guys please help I’ll mark you brainliest ! Be genuine !

Answers

Hi, check the comment.  It is the answer.  I wrote my own comment and rated myself 1.0 for no reason lol!! (Oh mah gawd I was joking this is not the answer, do NOT take this as your answer!

Answer:

256 m^3

Step-by-step explanation:

Area for 3d Trapezoid = 1/2x(a + b) * h

A = 1/2(10 + 22) * 16

A = 16 * 16

A = 256 m^3

A student correctly write 0.15 as a percent. Of the student writes the answer in the form x % , what is the value of x

Answers

Answer:

The answer should be 15%

Step-by-step explanation:

A public health researcher wishes to study the dietary behavior of residents in Durham County. The researcher randomly contacts 35 county residents and collects data on their daily sugar intake and obtained a sample average of 37.4 grams of sugar per day and a sample standard deviation of 4.2 grams per day. Assume the mean daily sugar intake of all residents in the county is normally distributed. Construct a lower bound for a 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data. (Give your answer to 3 decimal places)

Answers

Answer:

95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

(35.9573, 38.8427)

Lower limit = 35.9573

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 35

Given that the mean of sample x⁻ = 37.4gms

Given that the standard deviation of the sample 'S' = 4.2 gms

Level of significance = 0.05

Degrees of freedom

γ = n-1 = 35-1 = 34

t₀.₀₅ = 2.0322

Step(ii):-

95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]

[tex](37.4 - 2.0322 \frac{4.2}{\sqrt{35} } , 37.4 + 2.0322 \frac{4.2}{\sqrt{35} } )[/tex]

(37.4 - 1.4427 , 37.4+1.4427)

(35.9573, 38.8427)

Final answer:-

Lower 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

Lower limit = 35.9573

1. Becky needs to earn an average of 85% on her Stats tests in order to maintain her current GPA. IF
she has gotten the following scores so far, what does she need to get on her next test to maintain at
least an 85% average?

85, 78, 92, 84, 93

Answers

Answer:

78%

Step-by-step explanation:

85 × 6 = 510

85 + 78 + 92 + 84 + 93 = 432

510 - 432 = 78

Check

85 + 78 + 92 + 84 + 93 + 78 = 510

510 ÷ 6 = 85

Other Questions
What is the sum of 7 of the interior angles of a regular decagon? why globalization is good? PLEASE HELP ASAP!!A square-based pyramid has a total surface area of 144 sq. meters. If the base length is 8 meters, what is the slant height of each of the triangular faces? What is the answer to this? say your fav aot (attack on titan) character if it's a good character you get brainliest hAhA ( 1011 5(2x + 1) + c(x + d) = 12x - 1Work out the value of c and the value of d. Consider the following sequence 152, -76, 38, -19 Write a rule for the nth term and then find [tex]a_7[/tex] if a solution has a pOH of 5.2 the pH of the solution is PART 2To practice using adjectives and adverbs, your assignment this week is to compose a story or essay. It can relate to your Social Studies material (perhaps you'd like to compose your own adventure for some of the characters in the book you're reading, or about some of the people discussed in that course in recent weeks), or it can be about anything you want. It should be one to two pages long, and use plenty of adjectives and adverbs. Review the material called "Paragraphs" and "Paragraph Forms", if necessary. You may choose your own topic or use one of these ideas:My favorite time of yearSpecial places I have beenA dream I hadIf I had three wishesIf I had been born on the other side of the worldSomething I want to do someday Does the practice of limiting woman to certain jobs play a role in todays society? Which equation is NOT true based on the Pythagorean Theorem Paragraph all about spain 1. Energy from the is transferred to Earths surface. Some of that energy is then ____________ to the air ________ the surface.2.Locations closer to the equator have a __________ temperature. Locations farther away from the equator have a _________ temperature.3.Locations close to the equator get the ________ energy from the sun. Locations farther away from the equator get the _________ amount of energy from the sun. Can someone please help!?!? 3. Jim plotted the following ordered pairs on a coordinate grid.(1,3) (3,6) (7,6) (9,3)O(4,5)9O(8,6)87O(5,7)654O(3,1)3CLEAR ALL210 1 2 3 4 5 6 7 8 9Jim connected the points with line segments to form a polygon. Which point islocated inside the polygon? Why do you think the United States government was formed as a republic, rather than as a direct democracy? NO LINKS PLSSSS In a market economy, equilibrium stays constant and never moves.True or false PLZ HELPLPLPLPLP!!!! Titan Tommy and the Test Tubes at a nightclub this weekend. The lead instrumentalist uses a test tube (closed-end air column) with a 17.2 cm air column. The speed of sound in the test tube is 340 m/sec. Find the frequency of the first harmonic played by this instrument. a pool designer constructs a frame for an in ground pool.The width of the border frame f,is 0.75 foot greater than the width of the pool,p. Wrists an equation that models the width of the border frame with respect to the width of the pool.