In a right isosceles triangle, the lengths of both legs are equal. For the given isosceles triangle, what is the value of x?

In A Right Isosceles Triangle, The Lengths Of Both Legs Are Equal. For The Given Isosceles Triangle,

Answers

Answer 1

well, we know the triangle besides being an isosceles, is also a right-triangle, so let's use the pythagorean theorem.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{\sqrt{72}}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{x}\\ \end{cases}\implies (\sqrt{72})^2=x^2+x^2 \\\\\\ 72=2x^2\implies \cfrac{72}{2}=x^2\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]

Answer 2

Answer:

x = 6

Step-by-step explanation:

sine law

a/ sin a = x / sin x

(72)^1/2 / sin 45º = x / sin 90

6 = x/1

multiply each side by 1

6 = x


Related Questions

In the morning, Blake had $14.75 saved. After earning money for helping with yard work, he had $21.25.

How much did Blake earn for helping with yard work?

Enter your answer in the box.

$

Answers

Answer:

$6.50

Step-by-step explanation:

21.25-14.75=6.5

Surface Area of Cylinder=2πrh+2πr2
Where r is the radius of the cylinder and h is the height of the cylinder. Find the surface area when r is 3 inches and h is 5 inches.

A. 112π in²
B. 48π in²
C. 80π in²
D. 50π in²

Answers

Answer: B. 48 pi in^2

Step-by-step explanation:

Plug the given values into the equation.

So the SA = 2*pi*3*5 + 2*pi*3^2

SA = 30pi + 18pi

SA = 48 pi in^2

which is bigger 10.1mm or 101cm

Answers

Answer:

101cm is bigger

generally values of cm are bigger than mm

101cm is bigger than 10.1 mm

Reduce the following fraction 25/55


Pls help quickly

Answers

Answer:

5/11

Step-by-step explanation:

convert the following to powers first then simplify and then write answer as a radical ​

Answers

Answer:

[tex]\sqrt[15]{m^2n^4}[/tex]

Step-by-step explanation:

[tex](\sqrt[5]{m^2n^4} )^{\frac{1}{3}}\\\\\implies( (m^2n^4)^{\frac{1}{5}})^{\frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{5}\times \frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{15}}\\\\\implies (m^2)^{\frac{1}{15}} (n^4)^{\frac{1}{15}}\\\\\implies m^{\frac{2}{15}} n^{\frac{4}{15}}[/tex]

[tex]\sqrt[15]{m^2n^4}[/tex]

Scott wanted to buy a notebook. He saw a sale at Staples onnotebooks, $4.50 for 5 notebooks. What is the cost for one notebook at Staples?

Answers

Answer:

90 cents or $0.90

Step-by-step explanation:

To find the answer, we need to find UNIT RATE

In this equation, to find unit rate, divide $4.50 (4.5) by 5 to get your answer

When we do this, we get an answer of…

90 cents!

I hope this helps!

(Please award brainliest if possible)

Angela has 3 pennies. She tells her friend that she has 3/10 of a dollar. Is she correct? Why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

She is correct because 3/10 of 100 (a full dollar) is 0.3 which is 3 in pennies/cents. You could also do 3% of 100 which is 3 (pennies/cents)

She is not correct.

Is should be 3/100 (0.03 or $0.03)

I penny can be written as $0.01

3/10 is 0.3 or $0.30(which is 30 cents or three dimes)

Hope this helps!

helllllppppppp help help

Answers

Answer:

1. 2

2. 8

3. 1.5

4. 62.83185

5. 18.85

6. 87.96

7. 12.57

8. 1256.64

9. 63.62

10. Half

11. perimeter

12. not sure

Step-by-step explanation:

It takes 6 hours to drive 342 mi. He will drive for 8 hours tomorrow. if he drives at the same rate, how far will Aron drive in 8 hours?

Answers

Answer:

456 miles

Step-by-step explanation:

We can use proportions to solve

342 miles        x miles

------------   = --------------

6 hours           8 hours

Using cross products

342 * 8 = 6x

2736 = 6x

Divide by 6

2736/6 = x

456 miles

Answer:

Aron will drive 456 miles in 8 hours

Step-by-step explanation:

set up as proportion and cross multiply to solve:

6 hours/342 miles = 8 hours/x

x = 456

Need answer fast please. Which line is perpendicular to y = x + 2 and passes through (4,-1)?
y = -x+1
y = -x + 3
y = -x + 2
y = -x +4

Answers

Answer:

C. y = -x + 3

Step-by-step explanation:

y = x + 2

Find perpendicular slope (opposite reciprocal):

x/1 --> -1/x or -x

Convert to point-slope form:

y - (-1) = -1 (x - 4)

y + 1 = -1x + 4

y = -x + 3

I need help finding the slopes and lengths i already did the graph please helpneed asap

Answers

Answer:

v

Step-by-step explanation:

a. Slopes of each side:

AB: 3/4 --> 3 units up and 4 units right

BC: No slope. Slope requires a rise and a run. There's only a rise.

CD: 3/4 --> 3 units up and 4 units right

AD: No slope. Slope requires a rise and a run. There's only a rise.

b. Length of each side:

(You find this by using the distance formula)

AB: 5 units

BC: 5 units

CD: 5 units

AD: 5 units

3. Marcus had an average score of 90% on two biology tests about protists. If his first test score was 96%, which score did he receive on the second test? A.45% B.84% C.90% D.102%​

Answers

Answer:

B: 84%

Step-by-step explanation:

The scale of a map is 2cm:15km. Find the actual distance for each map distance. 5cm

Answers

Step-by-step explanation:

2cm : 15cm so

5cm : 37.5cm

so 5cm is therefore=37.5cm

The seller wants to take $185,000 on the sale of his house after paying the commission of 6%. How much must the selling price be?

Answers

Answer:

196808.5106

Step-by-step explanation:

the seller will take 94% from the selling price and pay 6% to the commission, and he wants to take 185000 dollars

let the price = x

then x * 94% = 185000

Solving for x you get the answer

1/6 and 3/8 as fractions with common denominator

Answers

Answer:

You can use 48 and 24

Step-by-step explanation:

You can figure out 48 by simply multiplying 6 times 8. You can figure out the 24 by noticing that 24 is divisible by both 6 and 8. 6 x 4 =24, and 8 x 3=24. I hope this helps!

Answer:

1/6 = 4/24

3/8 = 9/24

Step-by-step explanation:

Measuring by using Trigonometry

Answers

Answer:

x approximately = 11.971, y approximately = 0.837

Step-by-step explanation:

the 12 ft is the hypotenuse of the right angle triangle formed

Cos (theta) = adjacent/hypotenuse

so Cos(4) = x/12, solving for x = 11.971

Sin(theta) = opposite/hypotenuse

so Sin(4) = y/12, solving for y = 0.837

I. Directions: Write an algebraic expression for each

a) five less than three times a number
b) eight less than the quotient of a number and two
c) nine times the sum of a number and fifteen
d) The sum of twice a number and seven
f) A number less than twenty-five


II. Directions: Write two written expressions for each. Use the key vocabulary.
a. 10 - h b. (d + 9) x 10 c. 7(n + 3) d. c/10

Answers

3n - 5

n/2 - 8

9(n+15)

2n + 7

25 - n

What is the factored form of the polynomial? x2 − 15x 36 (x − 4)(x − 9) (x − 3)(x − 12) (x 4)(x 9) (x 3)(x 12).

Answers

Polynomials consist of both indeterminates and coefficients. The factors of the polynomial x² - 15x + 36 is (x-3)(x-12).

What are polynomials?

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

x² - 15x + 36

To find the factors of the polynomial,

[tex]x^2 - 15x + 36 \\\\[/tex]

We will replace -15 with two numbers such that their sum is -15 while, their product must be 36.

[tex]x^2 - 15x + 36 \\\\ = x^2 -12x-3x +36\\\\[/tex]

now, we will take x as the common term from the first two-term, while 3 as the common term from the next two terms.

[tex]= x^2 -12x-3x +36\\\\= x(x-12) - 3 (x - 12)\\\\= (x-3)(x-12)[/tex]

Hence, the factors of the polynomial x² - 15x + 36 is (x-3)(x-12).

Learn more about Polynomials:

https://brainly.com/question/17822016

Answer:

its b.

Step-by-step explanation:

your welcome

A right triangle has legs measuring 16 in. And 28 in. What is the length of the hypotenuse? Round your answer to the nearest tenth. 23. 0 in. 32. 2 in. 44. 0 in. 1040. 0 in.

Answers

In a right-angled triangle, the Pythagoras theorem is used to find the hypotenuse. Then the hypotenuse is 32.2 inches.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

A right triangle has legs measuring 16 inches And 28 inches.

We know the Pythagoras theorem

[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2[/tex]

Then the hypotenuse will be.

[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\\\\\rm Hypotenuse ^2 = 16^2 + 28^2\\\\ \rm Hypotenuse ^2 = 256 + 784\\\\\rm Hypotenuse ^2 = 1040\\\\\rm Hypotenuse \ = 32.2[/tex]

Thus, the hypotenuse is 32.2 inches.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Triangle DEF has vertices D(2,1), E(3,6), and F(5,-2). Find the vertices of triangle D’E’F’ after a translation of 4 units to the left and 3 units down.

D=

E=

F=​

Answers

The graph I have attached shows the translation. The dashed triangle shows the first step (traveling left 4 units). The red triangle is the finished product.

So the new coordinates...

D- (-2,-2)

E- (-1,3)

F- (1,-5)

Rewrite using a single positive exponent
7^-6 * 7^2
(The 6 is negative)

Answers

Answer:

Step-by-step explanation:

7^2/7^6 = 1/7^(6-2) = 1/7^4

Write 3-5 sentences about why you should receive brainliest. Best answer gets brainliest. ::)

Answers

Answer:

First off, I LOVE helping people even if I'm not a professor teacher, or tutor. However, I always do my best to answer the questions as close to perfection as possible even if it can take an hour. I want people to easier to understand and leaner better when I gave an answer to their question, by doing that, I felt very proud of myself and felt like I accomplished a goal. I'm still very young and just started using Brainly, so I don't really know what a brainlist is (DON'T LAUGH). Even so, if you don't think that I deserve the brainlist, it's fine because once I'm older and have more experience, I could help more and more people with their questions or problems. If you actually gave me a brainlist, I'll be really grateful and I might give you a brainlist if you answered my questions. Anyway, when I received a brainnlist,  the first thing that came up in my mind is that my answers are actually useful for once. P.s. if you give a brainlist, Thank u

Step-by-step explanation: I hope u like my response

The senior class at South High school raised $80,000 from raffle tickets. Tickets cost $150 for a chance to win a Disney Vacation and $200 for a chance to win a car. If a total of 475 tickets were sold, how many were sold for the Vacation and how many were sold for the car?

Answers

Answer:

y = 175. x = 300. Disney vacation is 300 sold. Cars sold were 175.

Step-by-step explanation:

They want to raise $80,000. There are a total of 475 tickets.

150x + 200y (Disney Vacation + Win a car) = 80,000

x + y = 475.

__
y=475-x

150x+200(475-x)=80000

150x+95,000-200x=80,000.

-50x + 95,000 = 80,000.

-50x = -15,000

x = 300.

Disney vacation is 300 sold.

300 + y = 475.

y = 175.

Cars sold were 175.

Additional Info:

I am 14 years old and I'm learning solving the systems by elimination and substitution, etc. Hope this is the correct answer.

The probability that a student will
earn an A+ in AP Physics is 0.2. The
probability that a student will earn an
A+ in both AP Physics and AP
Statistics is 0.12. Given that a
Student has earned an A+ in AP
Physics, what is the probability that
he or she will earn an A+ in AP
Statistics?
Answer Choices:
0.024.
0.12.
0.24.
0.6.

Answers

[tex] \huge \sf \dag Answer : [/tex]

Option b, Because it is already known in the problem that the chances of someone getting an A+ in AP Physics are 0.12 and 0.2 is no longer needed because it could be just a mind-blower.

Which set of numbers could represent the lengths of the sides of a right triangle?
2,3,4
12, 15, 20
8, 9, 10
9, 40, 41

Answers

Answer:

D. 9, 40, 41

Step-by-step explanation:

We can use Pythagorean theorem (a²+b²=c²) to answer this question by squaring the smallest 2 lengths then seeing if it equals the square of the 3rd length.

2²+3² = 4+9 = 13 ≠ 4²

12²+15² = 144+225 = 369 ≠ 20²

8²+9² = 64+81 = 145 ≠ 10²

9²+40² = 81+1600 = 1681 = 41²

Sameen bought 2 1/5 pounds of carrots for $6.60. At that rate, how much would 1 pound of carrots cost?

Answers

Answer:

3$

Step-by-step explanation:

Give a solution to the equation in "c" that you can see from the graph.

Answers

x=-3
explanation: its a straight line on -3 on the y axis

In basketball, you can make close shots worth 2 points and far shots worth 3 points. In his game,
Vlad made 10 shots in total and scored 22 points. How many 3 point shots did he make?

Answers

Answer:

6

Step-by-step explanation:

6×3=18

18+4=22

He took 6 far shots and 2 close shots

Answer:

2 3-Point Shots

Step-by-step explanation:

I started with (2x6)+(3x3)

I decreased and increased the 2nd digits for each.

You can divide it but I didn't really wana

I ended up with 2x8+3x2

then that equals 22

A cell phone company charges $20 a month for the base plan. They charge 10 cents for
every text, minute, or kilobyte of data use. Write and equation to express your cell phone bill.

O y = .20x - 10
O y = 10x – 20
O y = .10x + 20
O y = 20x + .10

Answers

The answer is C because the .10 cents is what’s going to depend on x = how many text minute is used and 20 is the base

Sai reads 100 words each 1/2 minute. which statement is true

Answers

The 42nd statement lured me into believe it is true
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