The legs of a right triangle are √5 feet and square root √11 feet long. How long is the hypotenuse?

Answers

Answer 1

[tex]v^{2}[/tex]Answer:

4 feet long

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

In this problem, a and b are the legs of the triangle, while c is the hypotenuse

Plugging the values of [tex]\sqrt{5}[/tex] and [tex]\sqrt{11}[/tex] to the equation you get:

5 + 11 = [tex]c^{2}[/tex]

Therefore, [tex]c^{2}[/tex] = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.


Related Questions

Find two numbers x and y with a sum of 200 and a difference of 82

Answers

Answer:

Let x be the bigger number, and y be the smaller number.

[tex]x+y=200[/tex]

[tex]x=200-y[/tex]

Since the difference is 82,

[tex]x-y=82[/tex]

Substitute x in:

[tex](200-y)-y=82[/tex]

[tex]200-2y=82[/tex]

[tex]2y=200-82[/tex]

[tex]2y=118[/tex]

[tex]y=59[/tex]

[tex]x=200-59[/tex]

[tex]x=141[/tex]

identify the pair of similar triangles in each of the groups of triangle below​

Answers

Answer:

its triangle ABC and XYZ

Step-by-step explanation:

What is the value of x if a slope is 2, and a line passing through (x, 3) and (1,5).

Answers

Answer:

x = 0

Step-by-step explanation:

Slope = change in y/change in x

Slope = 5-3/1-x

2 = 2/1-x

2(1 - x) = 2

2 - 2x = 2

2 = 2 - 2x

0 = -2x

x = 0

-Chetan K

Gabby read 98 pages of a book then stopped. She later decided to continue the book and read 37 more pages every day.
Let d represent the number of days since Gabby decided to continue the book and p represent the total number of pages of the book she had read.

Answers

Answer:

number of days = 3

total number of pages=135

Step-by-step explanation:

98÷49= 2

37=1 day

total number of days=3days

Total number of pages read=135 pages

Evan is landscaping his backyard. The yard is shaped like a rectangle and measures 80 feet by 70 feet. He wants to spread topsoil evenly over the entire surface. One load of topsoil will cover 400 square feet, 4 inches deep. How many loads of dirt does Evan need in order to cover his entire yard?

A. 14

B. 16

C. 18

D. 20

Answers

it is 14 because i multiplied 70x80 and i got 5600 and so i divided that by 400 and got 14 so it is 14

vertex, maximum height, and axis of symmetry

Answers

Answer:

19 height

Step-by-step explanation:

sorry but thats all i know

hope it helps, have a nice day/night! :D

3/8 is found between which pair of fractions on a number line

Answers

Answer:

2/8 and 4/8

Step-by-step explanation:

Answer:

2/8,4/8 or 1/4,1/2

Step-by-step explanation:

3+1=4 3-1=2

2/8=1/4

4/8=1/2

Does anyone know these answers?

Answers

Answer:

A

Step-by-step explanation:

We know the answer to the first question is 3 because GC, FB, HD are parallel to AE, so we can eliminate choices B and C, we know D is incorrect because the answer to the third question is 4

Answer:

A. 3, 3, 4

Step-by-step explanation:

Parallel segments to AE are:

BF, CG, DH ⇒ 3

Parallel segments to EF:

AB, CD, GH ⇒ 3

Segments intersecting with EF under right angle:

AE, EG, BF, GH ⇒ 4

Correct choice is A

Find the equation of the line with slope 43 and y-intercept (0,−1)

Answers

Answer:

y = 43x -1

Step-by-step explanation:

Using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 43x -1

I need word form and decimal

(I already shaded it in so that is all I need​

Answers

The shading is correct for each of the three problems. Nice work.

==========================================

Problem 13

Word form = one tenth

Decimal form = 0.1

Explanation: The 1 is in the tenths place for the decimal value 0.1 to represent the fraction 1/10.

==========================================

Problem 14

Word form = eighty-five hundredths

Decimal form = 0.85

Explanation: The 8 is in the tenths place, and the 5 is in the hundredths place. Overall, 0.85 represents 85 out of 100, aka 85/100.

==========================================

Problem 15

Word form = thirty-nine thousandths

Decimal form = 0.039

Explanation: The second zero is in the tenths place. The 3 is in the hundredths place. The 9 is in the thousandths place. The decimal represents 39/1000 which you can think of it as 039/1000.

One tenth, 0.1
Eighty five hundredths, 0.85
Thirty nine thousandths, 0.039

Hope this helps!!!

what number is its own oppositie?

Answers

Answer:

0

Step-by-step explanation:

what number is its own oppositie?

The number 0 is the only number that is its own opposite.

Use the correct trig function to find the value of x. SOH,CAH, TOA​

Answers

x = 18.4

Step-by-step explanation:

For this problem, we are going to use the cosine function to find x:

[tex]\cos{45°} = \dfrac{adj}{hyp} = \dfrac{13}{x}[/tex]

[tex]\Rightarrow x = \dfrac{13}{\cos45°} = 18.4[/tex]

What is the algebraic expression for the following word phrase: "the product of x and the sum of 2 and y"?

Answers

Answer:

x(2+y)

Step-by-step explanation:

sum of 2 and y=2+y

product of x=x times expression

:. Answer =x(2+y)

Violet is playing a board game with her friends. She earned 78 points during the game, and she receives a game-end bonus for achieving her secret objective. With her bonus, Violet came in second place with 91 points. Let b be the number of points Violet earned for the game-end bonus. Write and solve the equation for b.

Answers

Answer:

78 + B = 91...

91 - 78 = B

91 - 78 = 13

B = 13

Step-by-step explanation:

Calculate the average of these values: 38, 48, 58, 68?​

Answers

Answer:

53 is the average value.

Step-by-step explanation:

To find the average, or mean of multiple values you first add them all up:

38+48+58+68=212

Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).

Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.

I hope that my answer has helped you, have a great day, ask any questions you have below.

Lindsey drew a scale of a city. the scale of the drawing is 1 inch = 3 yards. If the actual length of a neighborhood park is 114 yards, how long is the park in the drawing?

Answers

Answer:

38 in

Step-by-step explanation:

114 yds divided by 3 = 38 in

examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is

Answers

Answer:

The pattern is adding by consecutive odds.

Step-by-step explanation:

The first odd you start with is 3:

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

...

Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.

~

Pls and thiss I beggg

Answers

Answer:

x=115°,y=50°

Step-by-step explanation:

let <B =x

115°+x=180°

x=180°-115°=65°

Since <B=<C

x+65°=180

x=180-65=115°

For y,

y+2(65°)=180°

y+130°=180°

y=180°-130°=50°

What is the answer =2^3(10-7)/3*7?

Answers

The answer is 56
Hope it helps:)

Answer:

the ansewer is 56

Step-by-step explanation:

by appling bodmas rule which means if such type of operation apper in one question we work it step by step first bracket then division next multiplication then addition finaly substruction

2^3(10-7)/3*7(10-7)=32^3(3)/3*73/3=12^3*1*72^3=88*1*7=8*7=56

Determine whether the ratios 8:7 and 15:14 are equivalent

Answers

Answer:

They are not

Step-by-step explanation:

    We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:

15:14

\/

7.5:7 ≠ 8:7

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

is 15/6 less than 2 13/18

Answers

Answer:

no

Step-by-step explanation:

Find the 91st term of the arithmetic sequence 5, -14, -33, ...5,−14,−33,...

Answers

Answer:

1724

Step-by-step explanation:

first find the nth term = -19n+5

then do -19×91+5= 1724

What is the scale factor for the dilation of triangle ABC
to produce triangle A'B'C'?
A. 0.25
B. 0.5
C. 2
D. 3

What is the scale factor for the dilation of triangle ABC
to produce triangle A"B"C?
A. 0.25
B. 0.5
C. 2
D. 3

Answers

Answer:

1) B 0.5

2) C 2

Step-by-step explanation:

point A (-2, 2) (0.5) = (-1, 1) A'

point B (-2, -1) (0.5) = (-1, -0.5) B'

point C (3, -1) (0.5) = (1.5, -0.5) B'

point A (-2, 2) (2) = (-4, 4) A'

point B (-2, -1) (2) = (-4, -2) B'

point C (3, -1) (2) = (6, -2) B'

Mary was asleep from 9:pm to 5:am. How long was she asleep for?​

Answers

Answer:

8 hours

Step-by-step explanation:

Answer:

8hours

Step-by-step explanation:

The admission fee at a local zoo is $1.50 for children and $3.00 for adults. On a certain day, 2400 people enter the zoo and $4,800.00 is collected. How many children and how many adults?​

Answers

Answer:

Step-by-step explanation:

c = children

a = adults

2200 people enter the zoo mean :

c + a = 2200

$4,550.00 is collected mean :

1.5 c + 4 a = 4550

Now you must solve system:

c + a = 2200

1.5 c + 4 a = 4550

c + a = 2200 Subtract c to both sides

c + a - c = 2200 - c

a = 2200 - c

1.5 c + 4 a = 4550

1.5 c + 4 ( 2200 - c ) = 4550

1.5 * c + 4 * 2200 - 4 c = 4550

1.5 * c + 8800 - 4 c = 4550

- 2.5 c + 8800 = 4550 Subtract 8800 to both sides

- 2.5 c + 8800 - 8800 = 4550 - 8800

- 2.5 c = - 4250 Divide both sides by - 2.5

c = - 4250 / - 2.5

c = 1700

a = 2200 - c = 2200 - 1700 = 500

1700 children and 500 adults

Proof :

c + a = 1700 = 2200

$ 1.5 * c + $ 4 * a =

$ 1.5 * 1700 + $ 4 * 500 =

$ 2550 + $ 2000 = $ 4550

The number of children and the number of adults are 1600 and 800, respectively.

What is the solution to the equation?

The allocation of weights to the relevant variables that produce the calculation's optimum is referred to as a direct consequence.

A nearby zoo charges $1.50 for kids and $3.00 for adults to enter. 2400 persons visit the zoo on a certain day, and $4,800.00 is gathered.

Let x be the number of children and y be the number of adults. Then the equation is written as,

x + y = 2400           ...1

1.5x + 3y = 4800

x + 2y = 3200    ...2

Subtract equation 1 from equation 1, then

2y - y = 3200 - 2400

y = 800

Then the value of x is calculated as,

x + 800 = 2400

x = 2400 - 800

x = 1600

The number of children and the number of adults are 1600 and 800, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.


I’ll choose brainliest

Answers

4. EA ≅ MA

In ΔTAE and ΔTAM,

TE = TM (Given)

∠ETA = ∠MTA (Given)

TA = TA (Common)

∴ ΔTAE ≅ ΔTAM

∴ EA = MA (CPCT)

5. In ΔJUN and ΔJEN,

JU = JE (Given)

NE = NU (Given)

JN = JN (Common)

∴ ΔJUN ≅ ΔJEN (By SSS Criteria)

∴ ∠U = ∠E (CPCT)

Hope it helps you....

Please mark as brainlliest

l
Choose all sets that contain the number 5.
Natural numbers
Whole numbers
Integers
Rational numbers
Irrational numbers
Real numbers

Answers

Whole numbers

Natural numbers

Real nunbers

40.75 in word form. ​

Answers

Answer:

forty and seventy-five hundredths

Step-by-step explanation:

first number with always stay the same. after decimal each number you go up a thenths place. so in this case ten, hundreths

there are 98 girls at Ross elementary there are 15 less boys then girls how many boys and girls are at Ross elementary​

Answers

Answer:

either 98 girls and 83 boys or 181 students in Ross elementary school

Step-by-step explanation:

98-15 is 83 so there are 98 girls and 83 boys there are also 181 students altogether.

Company A received 2131 more patents than Company B. Together, they received patents many patents did each company receive?

Answers

To me this problem looks incomplete, can you write it please?
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