Answer:
9units²
Step-by-step explanation:
A triangle has 3 sides. Let the length of the three sides be a, b, c.
If the perimeter of the triangle is 18, then;
P = a+b+c
a+b+c = 18... 1
If the sum of the squares of the three side lengths is 128, this means;
a²+b²+c² = 128... 2
Since the triangle is also right angled, according to Pythagoras theorem;
c² = a²+b²... 3 (taking c as the hypotenuse)
Substitute equation 3 into 2;
(a²+b²)+c² = 128
c²+c² = 128
2c² = 128
c² = 128/2
c² = 64
c = √64
c = 8
Substituting c = 8 into 1
a+b+c = 18
a+b+8=18
a+b = 10 ...... 3
Substituting c = 8 into 2
a²+b²+c² = 128
a²+b²+8² = 128
a²+b²+64 = 128
a²+b²= 64..... 4
Solve equation 3 and 4 simultaneously;
a+b = 10
a²+b²= 64
From 4; a = 10-b
Substitute a = 10-b into 4;
(10-b)²+b² = 64
100-20b+b²+b² = 64
2b²-20b+100-64 = 0
2b²-20b+36 = 0
Divide through by 2:
b²-10b+18 = 0
b = 10±√10²-4(18)/2
b = 10±√100-72/2
b =( 10±√28)/2
b =(10±√4×7)/2
b = (10±2√7)/2
b = 5±√7
Hence b = 5+√7
If a+ b = 10
a+(5+√7 ) = 10
a = 10-(5+√7)
a = 10-5-√7
a = 5-√7
Area of the triangle A = 1/2 ab
A = 1/2 × (5+√7) × (5-√7)
A = 1/2 × (25-5√7+5√7-7)
A = 1/2 × (25-7)
A = 1/2 × 18
A = 9
Hence the are of the triangle is 9units²
a and Ly started sung money at the same time for Christmas gis erika started with $100 and added $35 a week. Uly saved $60 a week and
started with 25. How many weeks will it take for them to have the same amount of money saved for Christmas gifts?
weeks torna and Ly to have the same amount of money saved up
Answer:
Step-by-step explanation:
Erika: y = 35x + 100
Ly: y = 60x + 25
60x + 25 = 35x + 100
25x + 25 = 100
25x = 75
x= 3 weeks
Erika: y = $35(3) + 100= 105 + 100 = $205
Ly: 60(3) + 25 = 180 + 25 = $205
PLEASE HELP ALGEBRA 2!!
Answer:
8- option 4
9- option 2
10-option 1
Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.
1/4(12+8x)
Answer:
3+2x
Step-by-step explanation:
Distribute the equation out.
1/4(12+8x)
(1/4*12)+(1/4*8x)
Multiple those out to get a new equation
3+2x
You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x
What is the result when the number 10 is decreased by 5.1%?
Answer:
(10/100)*94.9 = 9.49
Step-by-step explanation:
Divide by 100 and multiply by 100-5.1 = 9.49
The amount of money invested in a retirement fund is an example of which of the following?
a investment asset
b. liquid asset
C. long term asset
d. use asset
Answer: A
Step-by-step explanation:
Your investing for your future so it will investment asset
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x? I need help!!!
Answer:
6(2x+1) – 3 = 4x – 5
Firstly multiply
12x + 6 -3 = 4x-5
12x - 4x = -5-3
8x = -8
x =-1
The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =
Now the given equation is,
6(2x+1) – 3 = 4x – 5
So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,
12x + 6 – 3 = 4x – 5
or, 12x + 3 = 4x – 5
Taking alike terms together we get,
12x - 4x = – 5 - 3
Solving we get,
8x = -8
Dividing both side by 8 we get,
x = -1
which is the required solution of the given equation.
Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
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A rectonale has an area of
36cm and width 3cm. Find it's perimeter.
Answer:
[tex] \boxed{ \bold {\huge{ \text{30 \: cm}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \underline{ \: \: Given}}}[/tex]
Area of a rectangle ( A ) = 36 cm²
Width of a rectangle ( w ) = 3 cm
[tex] \star{ \sf{ \underline{ \: \: To \: Find}}}[/tex] :
Perimeter of a rectangle ( P ) = ?
First, finding the length of a rectangle ( l ) :
[tex] \boxed{\text{area \: of \: a \: rectangle = length ∗ width}}[/tex]
[tex] \dashrightarrow{ \sf{36 = length \times 3}}[/tex]
[tex] \dashrightarrow{ \sf{36 = 3 \: length}}[/tex]
[tex] \dashrightarrow{ \sf{3 \: length = 36}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{3 \: length}{3} = \frac{36}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{length = 12 \: cm}}[/tex]
Length of a rectangle = 12 cm
Now, finding the perimeter of a rectangle having length of 12 cm and width of 3 cm
[tex] \boxed{ \text{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]
[tex] { \sf{perimeter \: of \: a \: rectangle = 2(12 + 3)}}[/tex]
[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 2 \times 15}}[/tex]
[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 30 \: cm}}[/tex]
Perimeter of a rectangle = 30 cm
Hope I helped!
Best regards! :D
Which is an example of deductive reasoning?
Answer:
In deductive reasoning, if the given facts are true and you apply the correct logic, then the conclusion must be true.
Step-by-step explanation:
Answer:
All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.
Step-by-step explanation:
81 minus 39
And can you explain how plz?. Lol i meed it asapp
Answer:
42Step-by-step explanation:
[tex]81-39\\\\\mathrm{Line\:up\:the\:numbers}\\\begin{matrix}\space\space&8&1\\ -&3&9\end{matrix}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}\\\begin{matrix}\space\space&8&\textbf{1}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\\\mathrm{Borrow\:}1\mathrm{\:from\:}8\mathrm{.\:\:The\:remainder\:is\:}7\\[/tex][tex]\begin{matrix}\space\space&\textbf{7}&10\\ \space\space&\textbf{\linethrough{8}}&1\\ -&\textbf{3}&9\end{matrix}\\\\\mathrm{Add\:}1\mathrm{\:ten\:to\:}1:\quad \:10+1=11\\\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:11-9=2\\[/tex]
[tex]\frac{\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{2}\end{matrix}}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:7-3=4\\\\\frac{\begin{matrix}\space\space&\textbf{7}&11\\ \space\space&\textbf{\linethrough{8}}&\linethrough{1}\\ -&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\textbf{4}&2\end{matrix}}[/tex]
I need helpp asap pleasee
Answer:
0
Step-by-step explanation:
im pretty sure the answer is 0. bc -17-(-17)=0 and the square root of 0 is 0.
solve for the equation 2x+9=3x
Cuanto es la respuesta de -126=14k?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \text{k = - 9}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \text{ - 126 = 14k}}[/tex]
[tex] \text{step \: 1 \: : Intercambia los lados de la ecuación}[/tex]
[tex] \hookrightarrow{ \sf{14k = - 126}}[/tex]
[tex] \text{step \: 2 : Divide ambos lados por 14}[/tex]
[tex] \hookrightarrow{ \sf{ \frac{14k}{14} = \frac{ - 126}{14}}} [/tex]
[tex] \text{step \: 3 \: : Calcular}[/tex]
[tex] \hookrightarrow{ \sf{k = - 9}}[/tex]
[tex] \text{el valor de k es - 9}[/tex]
------------------------------------------------------------
Translation in English:
Step 1 : Swap the sides of the equation
Step 2 : Divide both sides by 14
Step 3 : Calculate
[tex] \sf{Hope \: i \: helped ! }[/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \sf{TheAnimeGirl}[/tex]
5 x 5=? plz im dum lol
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
5 x 5 = 25
I need help on 27-30
12 POINTS I NEED SOMEONES HELP BEFORE THIS DAY FINISHES
A town has a population of 2000 and grows at 4% every year. Write an
equation to represent the scenario
Answer:
2000+ (2000× .04x)
Step-by-step explanation:
2000 people plus the percent that it grows, found by multiplying .04 (4%) by the original number. the x is the number of years
Which step can you use to solve the equation t - 8= -3?
O Add 8 to each side of the equation.
Subtract 8 from each side of the equation.
O Multiply each side of the equation by 8.
O Divide each side of the equation by 8.
Solve the equation t-8=
3.
Kelly and Daniel surveyed 6 of their friends to find the number of pets in each of their households. They recorded the results from each home in a list. 4, 1, 2, 1, 0, 1 What is the mean absolute deviation of this data set? Enter your answer in the box.
Answer:
67
Step-by-step explanation:
Answer:
The mean absolute deviation is 1
Step-by-step equation =
Take all of the numbers and add them together.
4+1+2+1+0+1= 9
Then divide by how many numbers there are. In this word problem its 6.
Divide 9 by 6.
9 ÷ 6 = 1.5
So 1.5 would be our mean.
To find the mean absolute deviation subtract our mean and our original numbers.
1.5 - 4 = 2.5
1.5 - 1 = 0.5
1.5 - 2 = -0.5
1.5 - 1 = 0.5
1.5 - 0 = 1.5
1.5 - 1 = 0.5
Add all of those numbers together.
2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6
Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative
Divide by the amount of numbers you added.
6 ÷ 6 = 1
So the mean absolute deviation is 1
I also took the test that had 10 questions and got a 100
I'm pretty late to answer but hope this helps for others in the future
I learned this like a week or less ago so my explanation might not make the most sense.
4 = -8 - x What is x?
Answer:
2
Step-by-step explanation:
a negative x negative is always a positive
a negative x positive is negative
a positive x positive is negative
Answer:
x=-12
Step-by-step explanation:
4 = -8 - x
First, step +8 to get it to the other side of the question, then it will be 12 = -x
to get x move the negative to the other side x = -12
Can i have brainly please
Marco walked 27/100 kilometer to the park. then he walked 3/10 kilometer to the library. What fraction of a kilometer did he walk in all?
Answer:57/100
Step-by-step explanation:
First, convert 3/10 into hundreths to get a denominator equal to the other:
3/10 km = 30/100km
Add the numerators: 27+30=57
Place numerator over common denominator: 57/100
help please!
find the value of x so that the figures have the same perimeter
Answer: 7
Step-by-step explanation: For the first figure, 7 + 3 = 10, so the perimeter would be 10 + 10 + 7 + 7, which equals Perimeter = 34. For the other figure, 7 - 4 = 3, so 3 + 14 + 14 + 3 = 34, also. Hope this helps!
2. Which of the follow is equivalent to the quantity below? *
(1 Point)
2-1
3
1
2
Need help!!!!!!!!!!!!!
if M is the midpoint of AB, find the coordinates of A if B(4,-6) and M(1,-2) A is ___.
Answer:
work is attached and shown
Xavier currently pays $11.50 per movie he downloads with his current movie package. a new movie package charges $10 per movie downloaded with a $15 joining fee. How many movies would he need to download for him to want to switch?
Answer:
4
Step-by-step explanation:
after paying for 4 movies he's spent more than how much he would pay at the other one for downloading 4 movies
where the digit 1 sits in this number.
712,662,522,097
Answer:
ten billionths place
Step-by-step explanation:
Write an integer for: a deposit of $45 * Plz help fast!
Answer:
$45
Step-by-step explanation:
A deposit is positive, so the integer will be positive.An integer is a whole number that's not a fraction, so a positive integer for 45, would be 45.I hope this helps!
An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.
What are integers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
We have to write an integer for: a deposit of $45 *
A deposit is positive, therefore the integer will be positive.
An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.
Learn more about numbers here;
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What is 67840000000 in scientific notation ?
Answer:
6.784 × 10¹⁰
Step-by-step explanation:
→ First count the number of 0's
0000000 = 7 zero's
→ Count how many decimal places until a single digit
6.784 = 3 decimal places
→ Add the number of zero's with the decimal place's
7 + 3 = 10
6.784 × 10¹⁰
Answer:
6.784 times 10^10
Step-by-step explanation:
Hopes this helps :)
Can I pls get a brainliest
Multiply
(3c-5d)(7c-20)
please help i’m doing a test
Answer: 21c + 100d
Hope this helps!
Answer:
21c^2-60c-35cd+100d
Step-by-step explanation:
use foil method
(3c-5d)(7c-20)
21c^2-60c-35dc+100d simplify
21c^2-60c-35cd+100d nothing to simplify here
?show that 33105 is divisible by 15?
Answer:
um 2207 times 15 is 33105
someone please help and also show work plz
Answer:
X= -50
Step-by-step explanation:
Subtract 7 from both sides then multiply by 5.
X/5 =-10
5 x -10 = -50
So x= -50
Can anyone help me on this question?