The lengths of the sides of the right triangle above are a, 3, and c. What is a in terms of c?

The Lengths Of The Sides Of The Right Triangle Above Are A, 3, And C. What Is A In Terms Of C?

Answers

Answer 1

The expression for a in terms of c is [tex]a^{2}= \sqrt{c^{2} -9}[/tex]. The correct option is the third option [tex]a^{2}= \sqrt{c^{2} -9}[/tex]

Pythagorean theorem

From the question, we are to determine the expression for a in terms of c

In the given right triangle, we can write that

[tex]c^{2} = a^{2} +3^{2}[/tex] (Pythagorean theorem)

Thus,

[tex]c^{2} = a^{2} +9[/tex]

[tex]a^{2}= c^{2} -9[/tex]

[tex]a^{2}= \sqrt{c^{2} -9}[/tex]

Hence, the expression for a in terms of c is [tex]a^{2}= \sqrt{c^{2} -9}[/tex]. The correct option is the third option [tex]a^{2}= \sqrt{c^{2} -9}[/tex]

Learn more on Pythagorean theorem here: https://brainly.com/question/23994492

#SPJ1


Related Questions

El triple del mayor de tres números pares consecutivos, más 6 es igual al doble del menor. Encuentra el número mayor. Porfaaaa :(

Answers

Answer:

-14. Aunque podría estar equivocado. Espero poder ayudar

Step-by-step explanation:

ayudaa para mañana !!​

Answers

Answer:

ok bueno dejamr haber que ago

Answer:

2/5 > 1/3

9/20 > 13/30

17/12 < 22/15

Step-by-step explanation:

Encuentra un denominador común. por ejemplo, 2/5 y 1/3 tienen un denominador común de 15. 2/5 se convierte en 6/15 y 1/3 se convierte en 5/15. 6 es mayor que 5. ¡Espero que esto ayude y buena suerte!

write a real-world problem given the equation 2/3x = 12. Then solve the equation.

Answers

Answer:

You want to buy long pieces of paper at Dollar Tree for 66 cents. You have $12. How many long pieces of paper can you buy

Step-by-step explanation:

If 5 hours is 25% of the time a trip will take, how long will it take?

Answers

Answer:

20 hours

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

We know that 25% is 1/4 of the time. So 5 hours would be multiplied by 4, which is the reciprocal of 1/4.

5 x 4 = 20, so that's your answer. I hope I helped :)

1. A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for that 5-year period?


Pls help


A. 6.48%


B. 3.34%


C. 5.23%


D. 2.15%

Answers

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

Hellllllllppppp meeeee

Answers

Answer:

x=18°

Step-by-step explanation:

5x-18=4x

subtract 4x from both sides

x-18=0

add 18 to both sides

x=18°

The sum of two numbers is 15. Twice the large
number plus 4 times the smaller number is 24.
Find the large number.

Answers

x+y=15 which equals y=15-x
2x+4y=24
2x+4(15-x)=24
2x+60-4x=24
-2x=-36
x=18
the larger number is 18

I need help with this question​

Answers

Answer:

2,540 miles

Step-by-step explanation:

The computation of the fewer miles is given below;

For Space explorer B

= 15,000 miles ÷ 5 hours

= 3,000 miles per hour

For space explorer A

y = 4,600 x

That means in one hour it covered 460 miles

So, the fewer miles would be

= 3,000 - 460

= 2,540 miles

30. Which reason justifies the statement below?


A. Definition of Congruence
B. Angle Addition Postulate
C. Supplement Theorem
D. Definition of Vertical Angles

Answers

D definition of vertical angless
Yw

The correct reason for the statement ∠1 ≅ ∠2 will be;

⇒ Definition of Vertical Angles.

Option D is true.

What is Vertical angles?

When the two lines are crosses to each other at a point then the vertical angles are formed.

Given that;

∠1 and ∠2 are formed between two lines which crosses at a point.

Now,

The two lines are vertical lines which passes through a point and ∠1 and ∠2 are formed between them.

So, By definition of Vertical Angles;

∠1 ≅ ∠2

Therefore,

The correct reason for the statement ∠1 ≅ ∠2 will be;

⇒ Definition of Vertical Angles.

Learn more about the vertical angles visit:

https://brainly.com/question/12846141

#SPJ5

Your uncle is 2 years older than 3 times your age.

You are x years old. Write an expression to describe your uncles age.

It would be a lot helpful if you could answer this! :D

Answers

you are x

three times is 3x

2 years older is 3x + 2

Answer:

3x+2

Step-by-step explanation:

3 times x plus 2 since he's 2 years older than that

It's math,I'll send u a picture!​

Answers

Answer:

suree.

Step-by-step explanation:

lemme see!! I wanna see!! I probably can’t help but I’ll try! :)

Please help with this area assignment​

Answers

Answer:

375

Step-by-step explanation:

15 times 25 equals 375

Ms. Halloween works in a factory. She receives a salary of $9.10 per hour and piecework pay of 15 cents per unit produced. Last week she worked 40 hours and produced 988 units. a. What was her piecework pay? What was her total hourly pay for the week? What was her total pay for the week? b. If her boss offered to pay her a straight $13 per hour and no piecework pay for the week, would she earn more or less than under the piecework pay system? c. What would her total weekly salary have been if she produced 0 units?

Answers

Answer:

1065.1

Step-by-step explanation:

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

What is a salary?

Salary is a compensation or fixed amount of money paid to an employee by an employer in return for work performed.

For the given situation,

Halloween's salary received per hour = $9.10

Halloween's piecework pay per unit = 15 cents

Total work per week = 40 hours

Total unit produced per week = 988 units.

Part a:

1. Halloween's piecework pay = [tex](988)(15)[/tex]

⇒ [tex]14820 cents[/tex]

we know that $1 = 100 cents

⇒ [tex]\$148.20[/tex]

2. Halloween's total hourly pay for the week = [tex](40)(9.10)[/tex]

⇒ [tex]\$364[/tex]

3. Halloween's total pay for the week = [tex]364+148.20[/tex]

⇒ [tex]\$512.20[/tex]

Part b:

Halloween's boss offered to pay her a straight $13 per hour and no piecework pay for the week.

Total amount received for the week = [tex](40)(13)[/tex]

⇒ [tex]\$520[/tex]

Difference in pay = [tex]520-512.20[/tex]

⇒ [tex]\$7.80[/tex]

Thus, she earns more when she get the straight salary on hourly basis.

Part c:

If her production is 0 units, then she might get her hourly pay only.

⇒ [tex](40)(9.10)[/tex]

⇒ [tex]\$364[/tex]

Hence we can conclude that

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

Learn more about salary and wages here

https://brainly.com/question/15282149

#SPJ2

how do you write this number 0.1709 in words?​

Answers

Answer:

0.1709 in words-

Point one seven zero nine

A rectangle has vertices A(1, 6), B(6, 6), C(6, 3) and D(1, 3). What is the "Area" of the rectangle?

Answers

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Length times width. 3 is length and width is 5

a que numero micro corresponde 7/2​

Answers

Answer:

31/2 d nada xdddddddddddddddddddddddddddd

The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is 35 minutes and costs $5.25. Which show would give you more for your money?

Answers

Answer:

35 minutes

Step-by-step explanation:

The carnival offers two magic shows

The morning show is for 20 mintes at $3.75

= 3.75/20

= 0.1875

The afternoon show is for 35 minutes at $5.25

= 5.25/35

= 0.15

Hence you pay a lesser amount for 35 minutes

14000.00 rate 8% 60 days simple interest​

Answers

Answer:186.66is answer

p=14000

r=8%

time=60days=2month/12=1/6year

Step-by-step explanation:

simple interest=ptr/100=14000×8×1/600=186.666

simplify the expression 4x+2-1/2x

Answers

answer 41x

Step-by-step

Given two points (-3, 1) and (4, -1) are on a line. Write an equation in slope-
intercept form of the line.
y=____x+____

Answers

Answer:

y=-2/7x+1/7

Step-by-step explanation:

Find the slope first

-1-1/4+3

-2/7

m=-2/7

y=-2/7x+b

1=-2/7(-3)+b

b=1/7

Find the quotient. Answer as a decimal.
–6 ÷ 1
1
3
3
1

Answers

Answer:

≈ -0.0005

Step-by-step explanation:

The area of Ms. Anderson’s office floor measures 120
square feet. She puts down a carpet that covers 40%
of the floor. What is the area of Ms. Anderson’s floor not covered by the carpet?

Answers

Answer:

72 square feet not covered

Step-by-step explanation:

100%-40% = 60%

60% of 120 = 0.6x120 = 72

Answer:

72

Step-by-step explanation:

because i know

For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then write what would be assumed and what would be proven in a proof by contradiction of the statement.

a. If x and y are a pair of consecutive integers, then x and y have opposite parity.
b. For all integers n, if n² is odd, then n is also odd.

Answers

Answer:

a)

Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Proof by Contrapositive:

Assumed statement: Suppose that integers x and y do not have opposite parity.

Proven Statement: x and y are not a pair of consecutive integers.

Proof -

x = 2u₁ , y = 2u₂

Then

(x, x+1) = (2u₁ , 2u₁ + 1) = (Even, odd)

If y = 2u₁ + 1

Not possible

⇒x and y are not a pair of consecutive integers.

Hence proved.

Proof by Contradiction:

Assumed statement: Suppose x and y are not a pair of consecutive integers.

Proven Statement: Suppose x and y do not have opposite parity.

Proof -

If x and y are not a pair of consecutive integers.

⇒ either x and y are odd or even

If x and y are odd

⇒x and y have same parity

Contradiction

If x and y are even

⇒x and y have same parity

Contradiction

(b)

Proof by Contrapositive:

Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)

Proven Statement: n² is not odd (i.e n² is even)

Proof -

Let n is even

⇒n = 2m

⇒n² = (2m)² = 4m²

⇒n² is even

Hence proved.

Proof by Contradiction:

Assumed statement: Let n be an integer such that n² be odd.

Proven Statement:  suppose that n is not odd (i.e n is even)

Proof -

Let n² is odd

⇒n² is even

⇒n² = 2m

⇒2 | n²

⇒2 | n

⇒n = 2x

⇒ n is even

Contradiction

Fine the area of this figure.what two shapes can you decompose.

Answers

D. 52 cm; a rectangle and triangle

Steps are on paper

Which professionals most directly use geometry In their work?
O A. accountants
© B. astronomers
O C. judges
© D.
pharmacists
O E. politicians

Answers

Answer:

Step-by-step explanation:

PLEASE HURRY!

Type the correct answer in each box.
The table shows Alice's age (a) and her daughter Martha's age (m). Complete the table and the equation.

Alice’s Age in Years
(a) Martha’s Age in Years
(m)
28 6
33 _
37 15
41 19
48 _


This equation relates Alice’s and Martha's ages in years.

Alice’s age (a) = Martha’s age (m) + _

Answers

Answer:

33-11

48-26

Alice’s age (a) = Martha’s age (m) + 22

Step-by-step explanation:

In order to find the blank spots you would need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.

28 - 6 = 22

To make sure we are correct we would do another problem.

37 - 15 = 22

So in order to find Martha's age when Alice was 33, we would subract 22.

33 - 22 = 11

Same when Alice was 48.

48 - 22 = 26

And the last equation is asking the difference between them, which would be 22.

Answer: 11 and 26

Step-by-step explanation:

hope this helps :)

A pair of shoes that normally sells for $74.88 goes on sale for 25% off. What is the sale price?

Answers

Answer:

$56.16

Step-by-step explanation:

74.88 times 0.75 =56.16

Answer:

$56.16

Step-by-step explanation:

To find the sale price, multiply the original price by 0.75:

74.88(0.75)

= 56.16

So, the sale price is $56.16

prove that Sn=n(n+1) for the sequence an=2n,where n is any positive integers​

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex]a_n = 2n[/tex]

Required

Prove that [tex]S_n = n(n+1)[/tex]

The given sequence is an arithmetic sequence.

The Sn of this sequence is:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

Calculate a1

[tex]a_n =2n[/tex]

[tex]a_1 =2*1[/tex]

[tex]a_1 =2[/tex]

So, we have:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

[tex]S_n = \frac{n}{2}(2 + 2n)[/tex]

Factor out 2

[tex]S_n = \frac{n*2}{2}(1 + n)[/tex]

[tex]S_n = n(1 + n)[/tex]

[tex]S_n = n(n + 1)[/tex] --- Proved

PLEASEEEEEEEEEEEEE ANSWER THIS FASTTTTTTTTTTTTTTTT

Answers

Answer:

B 2:1

Step-by-step explanation:

Given the linear equation & its graph, what is the slope?​

Answers

Answer:

Slope: 5/3

Step-by-step explanation:

Linear equation:

y = mx + b

m is the slope

so if,

y = 5/3x - 4

5/3 is the slope.

Hope this helps :)

Let me know if there are any mistakes!!

Other Questions
What was Wilson's plan for peace called what was the most important item in his plan that he refused to compromise? Anna and julia each take a bycicle trip. Anna ride 20 mile in 1 1/3 hour. Julia ride 246 mile in 16 hour. Which rider ha the lower unit rate? by how much? New technology derives protein from which abundant resource? Earth approximately 33x 107 miles from the sun. Saturn is approximately 8.87 x 108 miles from the sun. About how much farther is Sfrom the sun than Earth is?-OA 794x107 milesOB 724x10 miles0 4310 milesOD 4.3x10 milesResetNext can you turn acrylic paint into water paint by adding water?! yes or no Do you want to live in the frigid zone, why or why not Select the correct answer. The given equation has been solved in the table. Step Statement 1 2 3 x 9 = 13 2 2 3 x 9 + 9 = 13 + 9 3 2 3 x = 4 4 3 2 2 3 x = 3 2 ( 4 ) 5 x = 6 In which step was the addition property of equality applied? A. step 2 B. step 3 C. step 4 D. The addition property of equality was not applied to solve this equation. What is the additive inverse of 4 (- 4? Germanium ( Ge ) is a solid where the atoms are bonded to each other much like those of carbon in a diamond Which of the following problems is undecidable?(A) To determine if two finite automata are equivalent(B) Membership problem for context free grammar(C) Finiteness problem for finite automata(D) Ambiguity problem for context free grammar Which of the following is NOT a checkpoint that controls the progression of the cell cycle? O Cyclins and cyclin-dependent kinases are proteins that are responsible for advancing a cell through the phases of the cell cycle_ O The G2 checkpoint checks for DNA damage and determines if all of the DNA is replicated: O The metaphase checkpoint determines if all chromosomes are attached to the spindle apparatus O Cytokinesis involves the formation of cleavaze furrow to separate the cells are favorable for cell division and if the DNA is O The restriction point determines if conditions undamaged which of these sciences did the babylonians use to determine their new year? illustrative tools in a neuroscience lab crossword A company's external sources of new product ideas include its ________. at a football game, a vender sold a combined totalf of 248 sodas and hot dogs. the number of sodas sold was three times the number of hot dogs sold. find the number of sodas and hot dogs sold. 22. Represent Real-World Problems The railroadtracks meet the road as shown. The town willallow a parking lot at angle Jif the measure ofangle Jis greater than 38: Can a parking lot bebuilt at angle? Why or why not?++++Green50ParkAve.Ave. Which major nims component describes recommended organizational structures? The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 2. Calculate the probability of getting no more than 4 calls between eight and nine in the morning. Round your answer to four decimal places what does it mean to round to the nearest cent How was segregation enforced in the North?ACodified lawsincorrect answerBPolice presenceincorrect answerCCourt rulingsincorrect answerDInformal customs Help fast