In a right isosceles triangle, the lengths of both legs are equal. For the given isosceles triangle, what is the value of x?
Answers
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:
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
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)
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!
Sai reads 100 words each 1/2 minute. which statement is true
Answers
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)
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
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
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.
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:
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:
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
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
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
Reduce the following fraction 25/55
Pls help quickly
Answers
Answer:
5/11
Step-by-step explanation:
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
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
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
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
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)
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.
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:
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
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]
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
Give a solution to the equation in "c" that you can see from the graph.
Answers
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
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
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
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:
which is bigger 10.1mm or 101cm
Answers
Answer:
101cm is bigger
generally values of cm are bigger than mm
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
n/2 - 8
9(n+15)
2n + 7
25 - n
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