I need a step by step explanation please on this please so I can understand it better
Answers
Answer:
P = 29 units
Step-by-step explanation:
Let h represent the height of the triangle. Then 2h is the length of the base. The area is given by ...
A = 1/2bh
36 = 1/2(2h)(h) = h²
h = √36 = 6
base = 2h = 12
The base of the isosceles triangle is 12 units, and its height is 6 units.
__
The altitude line makes a right angle with the base, dividing it into two right triangles with sides of length 6. The hypotenuse (s) of each of those is given by the Pythagorean theorem as ...
s = √(6² +6²) = 6√2
Then the perimeter of the triangle is ...
P = base +2s = 12 +2(6√2) = 12(1 +√2) ≈ 28.97 ≈ 29
The perimeter of the triangle is about 29 units.
_____
Additional comment
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
For an isosceles right triangle, this means the hypotenuse is √2 times the side length. (This is a useful relationship to remember, as it is used a lot in algebra and geometry problems.) The acute angles in such a triangle are 45°.
AtQ
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(2x)(x)=36[/tex]
[tex]\\ \rm\hookrightarrow x^2=36[/tex]
[tex]\\ \rm\hookrightarrow x=6[/tex]
Base=12Apply Pythagorean theorem
[tex]\\ \rm\hookrightarrow H^2=6^2+6^2=36+36=72\implies H=8.5[/tex]
Perimeter
2(8.5)+12=17+12=29unitsRelated Questions
If f(x) = 9(x - 7)^2 – 8
Find f( – 4)
Answers
Answer:
1,081
[tex]f( - 4) = 9( - 4 - 7) {}^{2} - 8 \\ f( - 4) = 9( - 11 {)}^{2} - 8 \\ f( - 4) = 1081[/tex]
Expand the following expressions and write in standard form. Show your work.
a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)
Answers
Can someone help me
Answers
Answer:
i) 0.1056
ii) 0.105
iii) 0.1
iv) 0.1056
Step-by-step explanation:
0.36, to the power of 2 (0.36×0.36) is 0.1296
0.1296-0.03×0.8=0.1056
13. Xander and Kennedy have a bet to see who can get more "friends" on a social media side after 1 month. Kennedy
has 11 more friends than Xander when they start the competition. After much work, Kennedy doubles her amount
of friends and Xander quadruples (4 times) his. In the end they have a total of 232 friends.
Answers
Answer:
Xander has 140 friends
Kennedy has 92 friends
Step-by-step explanation:
Let x represent # of friends Xander has at the start
Let x+11 represent # of friends Kennedy has at the start
Let 2(x+11) rep. the final # of friends Kennedy has
Let 4x rep. the final # of friends Xander has
Total = 232
So we just need to solve for x:
2(x+11) + 4x = 232
2x + 22 + 4x = 232
6x = 210
x = 35 < - This means that xander started with 4 friends.
Sub x to find friends for each:
4x = ?
4(35) = 140 friends
2(x+11) = ?
2(35+11) = 92
ingrid have the store clerk 70 dollars to pay for her purchase. Find the expression that represents the amount of change ingrid will get back. x - 70, 70/x, 70 - x, 70 + x
Answers
Answer:
70-x
Step-by-step explanation:
The expression which represents the change that Ingrid will get back for purchasing for $x will be 70 - x thus option (C) is correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
Amount of money that Ingrid have = $70
Amount of money Ingrid purchased = $x
Change back = 70 - x
Hence "The equation that describes the change Ingrid will receive for spending $x is 70 - x".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
sum out war world 1 in a very short summary
Answers
Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.
Hope that helps
please help for brainliest
Answers
Answer:
84 and 144
Step-by-step explanation:
If the two numbers are a and b and their LCM is x and their HCF is y then there is a rule that is a×b=x×y
in this case:
a×b=x×y
a×b=(504)×(24)
a×b=12096
when finding factors of 12096 that are between 60 and 160, we can see that 84 and 144 is the best pair.
hope this helps! :D
have a miraculous day!! <3
How many solutions does the following equation have? 10x-1=10x+4
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
10x-1=10x+4
10x-10x=4+1
x=5
A plumber charges a $25 flat rate. If he works for 6 hours, how much does he charge per hour if the total is $67?
Answers
Answer:7
Step-by-step explanation:(67-25) divided by 6
mark as brainliest
Subtract the flat rate from the total first:
67-25 = 42
Now divide that by total hours:
42/6 = 7
Answer: $7 per hour
I'm having trouble. Can someone answer?
Answers
Answer:
okay wait
Step-by-step explanation:
how to solve 15=6+2(n-3) + 3n
Answers
Step-by-step explanation:
15 = 6 + 2(n-3) + 3n
or, 15 = 6 + 2n - 6 + 3n
or, 15 = 6 - 6 + 2n + 3n
or, 15 = 0 + 5n
or, 15 = 5n
or, 15/5 = n
or, 3 = n
;- n = 3.....
I Hope that this will Help you...!!!
what is the equation of a line that passes through the points (0,0) and (5,2)
Answers
Answer:
y = 2/5x
Step-by-step explanation:
in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:
y = mx + 0
in order to find the slope, we'll do y2-y1 / x2 - x1:
2-0
5-0
m is 2/5, so the answer is:
y = 2/5x
BRAINLIEST
Please answer these
Answers
3.14 is used for pi.
6. r = [tex]\sqrt{\frac{A}{\pi } }[/tex]
14.00
7. d = [tex]\frac{c}{\pi }[/tex]
5.00
8. d = [tex]2 \sqrt{\frac{A}{\pi } }[/tex]
23.01
9. r = [tex]\frac{c}{2\pi }[/tex]
20.01
10. d[tex]\pi[/tex] = [tex]2 \sqrt{{A}[/tex]
31[tex]\pi[/tex]
11. r[tex]\pi[/tex] = [tex]\frac{c}{2}[/tex]
22.5[tex]\pi[/tex]
Hope this helps :)
Answer:
12. 95.03
13. 52π mm or 52 mm
14. 119.38 meters
15. 227 in²
Note: (make sure to double check all of these because it never hurts to).
the graphs show information about the different journeys of 4 people
Answers
Answer:
sorry id like to help but i need more info.
Step-by-step explanation:
i hope this helps!
Plz help me thx
Simplify pt2:
Answers
Answer:
π - [tex]\sqrt{17}[/tex]
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x
Given
[tex]\sqrt{(\pi -\sqrt{17})^2 }[/tex]
= π - [tex]\sqrt{17}[/tex]
The cost of 3 kg of apples and 6 kg of oranges is Rs 300. If the cost of 1 kg of oranges is Rs 30, find the cost of 8 kg of apples.
Answers
Answer:
Cost of 1 = 30
So cost of 8kg apples=8*30
=240
Step-by-step explanation:
20) A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test
Answers
Answer:
50-50 chance I suppose (1/2 or 5/10) or 40% to 60% percent chance
Step-by-step explanation:
He can guess all of the questions and get all of them right, and it is a possibility that he can also get all of them wrong. So I say, 50-50. I can't lie, I'm having trouble with probability as we speak.
Find the inverse of the function 6-5x
Answers
-x/5 + 6/5
hope this helps!
Answer plz I need the answer
Answers
Answer:
D) 3x + 33
Step-by-step explanation:
3(x + 11)
3x + 33
Hope this helps! Pls give brainliest!
EXPLANATION
simplify the equation.
When you have an equation with a number on the outside of the parentheses, multiply ever number inside by the number on the outside
So in this case you are multiplying x by 3 and 11 by 3
So you get 3x + 33
Due in 1 min please help!!!!!
;)
Answers
=(7^5/5)
=(7^1)
=7 therefore C
decide whether the function is a polynomial function if it is write the function in standard form
f(x)=1/2x²-3x^4-7
Answers
Answer:
yes, it is a polynomial function because all of the exponents are non-negative; standard form is f(x) = -3x⁴ + 1/2x² - 7
Step-by-step explanation:
standard form is placing all terms in decreasing exponent order
Answer:
it is a polynomial because all of the exponents are non-negative
standard form f(x)=-3x^4+1/2^2-7
Step-by-step explanation:
Hope it helps
Have a nice day : )
lil bit hard
x+2y=5
3x−5y=−2
Answers
Friend, the answer is: x= 21/11, y=17/11
generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19
what value should be placed in the second column for the range 6-10?
a. 2
b. 3
c. 5
d. 1
Answers
Answer:
D: 1
Step-by-step explanation:
There's only one number there between 6-10.
Find the LCM of 5, 6 and 9.
Answers
Step-by-step explanation:
90.......................
Answer:
90.
Step-by-step explanation:
We have:
5
6 = 3 * 2
9 = 3 * 3
LCM = 5 * 3 * 2 * 3 = 90
As both 6 and 9 have a 3 in common this 3 is only used once in the calculation.
34x 10% discount. What the absolute FLIP
is the answer.
Answers
Answer:
You would pay $30.6, and the discount would be $3.4
Step-by-step explanation:
Because it is a 10% discount, you will only have to pay 90%. So: 0.9*34=30.6
Another way to solve it would be to calculate 10%, which would be 3.4, so 34-3.4=30.6
-15x = -75 I need HELP!!!!
Answers
Answer:
x=5
Step-by-step explanation:
You divide both sides by -15 which gives you a positive 5
The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.
Answers
Answer:
d = 7
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Give a₁₀ = 67 and a₁ = 4 , then
a₁ + 9d = 67
4 + 9d = 67 ( subtract 4 from both sides )
9d = 63 ( divide both sides by 9 )
d = 7
Calculate the slope of the coordinates (5,10) (10,20)
Answers
Answer:
m=2
Step-by-step explanation:
help plzz
2decimal places
165 x 0.38²
Answers
Answer:
23.83
Step-by-step explanation:
HELP ME PLEASE GUYS!! :)
Answers
If two lines intersect, then there is only one solution - where they cross.
Looking at the graph, we can see the intersection point of these two lines.
The intersection point is (1,1) - one unit to the right of the origin and one unit up.
Hope this helps! :)