Answers
Answer:
28 feet
Step-by-step explanation:
We know that the perimeter of a square is [tex]2l + 2w[/tex], where l is the length and w is the width.
We also know that the perimeter of a triangle is all of its sides added up.
Since the perimeters will be equal to each other, we can make both of these statements an equation that are equal to each other.
Basically:
[tex](3x - 3) + (3x - 3) + (x - 3) + (x - 3) = (2x - 1) + (2x - 1) + (2x)[/tex]
We can combine like terms to get a less scary equation.
[tex]8x - 12 = 6x - 2[/tex]
Our goal is to now isolate x so we can find it's value.
Add 2 to both sides:
[tex]8x - 10 = 6x[/tex]
Subtract 6x from both sides:
[tex]2x - 10 = 0[/tex]
Add 10 to both sides:
[tex]2x = 10[/tex]
Divide both sides by 2:
[tex]x = 5[/tex]
Now we know the value of x, however, our work isn't done. They want to know the perimeter, so we need to substitute x in as 5.
Let's do it on the triangle.
[tex]6x-2[/tex] (remember, this is our simplified version of the triangle)
[tex]6(5) - 2\\\\30 - 2\\\\28[/tex]
Hope this helped!
Related Questions
The speed of sounds in water is 1.46 x 10^3 meters per second. The speed of sound in air is 3.31 x 10^2 meters per second. How much faster does sound travel in water than it air?
Answers
Answer:
Hey there!
1.46x10^3-3.31x10^2
14.6x10^2-3.31x10^2
11.29x10^2
1.129x10^3
J is the correct answer.
Hope this helps :)
The sound travel [tex]1.129 \cdot 10^3 m/s[/tex] faster than the speed of sound in air.
Speed :The speed is the distance travelled per unit of time by a sound wave
Given informationSpeed of sound in water is [tex]1.46 \cdot 10^3[/tex]
Speed of sound in air is [tex]3.31 \cdot 10^2[/tex]
To find how much faster does travel , we need to subtract the speed
To subtract we need to make the exponents same
[tex]1.46 \cdot 10^3\\14.6 \cdot 10^2[/tex]
Now we subtract ,
[tex]14.6- 3.31= 11.29\\\\11.29 \cdot 10^2\\1.129 \cdot 10^3[/tex]
The sound travel [tex]1.129 \cdot 10^3 m/s[/tex] faster than the speed of sound in air.
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PLEASE HELP!
Find BD in the following diagram.
BD=
Answers
Answer:
BD = 28
Step-by-step explanation:
BD = BC + CD = 21 + 7 = 28
WILL GIVE BRAINLIEST
NEED HELP ASAP
PLEASEEEEEEE
WILL GIVE BRAINLIEST
Answers
Answer:
makin sure he gives the next person brainliest
Step-by-step explanation:
Answer:
Would love to help but I need options.
Step-by-step explanation:
And plz give brainliest!!!
I need help plssssssssssssssssssssssss
Answers
Answer:
great
Step-by-step explanation:
Answer:
26/1 x 6/1 = 156 Heart Beats Per Min.
Step-by-step explanation:
A bakery sells loaves of handmade French bread for $6 each and loaves of multigrain
bread for $8 each. The bakery eams, on average, $240 in revenue per day from the
sale of the French and multigrain breads.
Answers
Answer:
well if the breads both sell the same number of loaves for each type the you add 6 and 8 which is 14 divide it by 240 and you get ruffly 17 loaves per day.
Step-by-step explanation:
What is 1 + (-4) on a number line
Answers
Answer:
[tex]\boxed{-3}[/tex]
Step-by-step explanation:
Hey there!
1 + (-4)
= -3
Since there is -4 and and only a one 1,
it's like subtracting 4-1 whoch is 3, except this time you are adding -4 and 1,
Which is -3, on a number line.
Hope this helps :)
Can someone please help and solve
Answers
Answer:
C: x+y=27 and y=6+2x
Step-by-step explanation:
First part: If the sum of the two is 27, then it means that it is x + y = 27, because sum means addition.
Second part: The larger number (y) is 6 more than twice the smaller number (x). Twice a number means that it is that number multiplied by x, so it is 2x. 6 more means we add 6 to it so the second equation is y=6+2x.
Hope this helped!
express sin110 as ratio of acute angle
Answers
Answer:
sin70°
Step-by-step explanation:
Given sin110° where 110° is an obtuse angle in the second quadrant.
The related acute angle in the first quadrant is 180° - 110° = 70°
Thus
sin110° = sin70°
Find the error and show the correct solution.
1
5x –9 = -2(x-3)
5x-9 = -2x + 5
7x = 14
x = 2
Answers
15/7
Step-by-step explanation:
The error is in :
[tex] - 2(x - 3)[/tex]
It was expanded as -2x +5 which was wrong
Correct solution
[tex]5x - 9 = - 2(x - 3) \\ 5x - 9 = - 2x + 6 \\ 5x + 2x = 6 + 9 \\ 7x = 15[/tex]
[tex] \frac{7x}{7} = \frac{15}{7} \\ \\ x = 2 \frac{1}{7} [/tex]
I need the answer Pleaseee
Answers
Answer:
10 %+-5
Step-by-step explanation:
I don't really know
The area of a square garden is 81 How long is each side of the garden?
Answers
not sure if that’s right i’m sorry if it’s not
Write regular expressions for the following languages:a. The set of strings over alphabet {a, b, c} with at least one a and at least one b.b. The set of strings of 0’s and 1’s whose tenth symbol from the right end is 1.c. The set of strings of 0’s and 1’s with at most on pair of consecutive 1’s.
Answers
Answer and Step-by-step explanation:
a. The strings {a, b, c} with at least one a and at least one b.
Solution: ∑ = {a, b, c}
where
(a +b +c)(a (a +b +c)*b + b (a +b +c) a (a +b +c)*
b. The set of 0’s and 1’s string whose tenth symbol from the right end is 1.
Sol: (0+1)*1(0+1)9
c. The set of 0’s and 1’s string with at most one pair of consecutive 1’s.
sol: (0+10)(11+∑)(0+10)
help find equivalent equation please
Answers
Answer:
the first one
Step-by-step explanation:
Answer:
3x²+7x-8
Step-by-step explanation:
(7x²+5x-5) - (4x²-2x+3)7x²+5x-5-4x²+2x-33x²+7x-8Simplify the expression: –3(n − 5)
Answers
Answer:
-35+7u
Step-by-step explanation:
The answer is -3
n-5 evaluates to n-5
Multiply -3 by n-5
we multiply -3 by each term in n-5 term by term.
This is the distributive property of multiplication.
Multiply -3 and n
Multiply 1 and n
The n just gets copied along.
PLeaSe HeLp Multiply (1/3)(1/5) -1/10 -1/15 1/15 1/10
Answers
Answer:
1/15
Step-by-step explanation:
multiply the numerator with the numerator and the denominator with the denominator
1×1/3×5
= 1/15
Answer:
−11402 / 342015
Step-by-step explanation:
(1/3)(1/5)- 1/10- 1/151/151/10
1/15 - 1/10 - 1/151/151/10
-1/30 - 1/151/151/10
-1/30 - 1/22801/10
-1/30 - 1/228010
−11402 / 342015
iven triangle abc and def which of the following statements must be true
LMK ASAP
Answers
what's the probability of pulling two red cards in a row from a deck of cards?
Answers
Hey there! I'm happy to help!
Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.
If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.
We multiply the probabilities of these two events to find the probability of them both happening.
1/2×25/51=25/102
The probability of picking two red cards in a row is 25/102 or around 24.5%.
Have a wonderful day! :D
If n = 4, all of the following expressions are equivalent except _____.
16
n -2
1/16
1/n^2
Answers
Answer:
16
Step-by-step explanation:
Answer:
The answer is 16.
Step-by-step explanation:
When multiplying 0.9 X 4 you must turn the 4 into a 4.0 and then line up the decimal points
Answers
3.6 is the answer to the question
Find the area of the given region using any method.
Answers
The best method would certainly be integration :)
The area is given by the integral,
[tex]\displaystyle\int_0^2\frac{\mathrm dx}{9-x^2}[/tex]
We can split up the integrand into partial fractions:
[tex]\dfrac1{9-x^2}=\dfrac16\left(\dfrac1{3-x}+\dfrac1{3+x}\right)[/tex]
Then the area is
[tex]\displaystyle\frac16\int_0^2\left(\frac1{3-x}+\frac1{3+x}\right)\,\mathrm dx[/tex]
[tex]=\dfrac16(-\ln|3-x|+\ln|3+x|)\bigg|_0^2[/tex]
[tex]=\dfrac16\left((\ln5-\ln1)-(\ln3-\ln3)\right)=\boxed{\dfrac{\ln5}6}[/tex]
Which of the following is a source of income?
A. House purchase
B. Investment
C. FICA
D. Timeshare
Apex answer is:
B Investment
Answers
What is the square root of -1
Answers
Answer:
i
I hope this helps!
Answer:
[tex] { - 1}^{ \frac{1}{2} } .[/tex]
Step-by-step explanation:
[tex] \sqrt{ - 1} \: \: = - 1 ^{ \frac{1}{2} } = {( - 1 \times 1)}^{ \frac{1}{2} } \\ since \: - 1 \times 1 = - 1 \\ the \: ans \: is : \\ { - 1}^{ \frac{1}{2} } .[/tex]
♨Rage♨
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)
Answers
Answer:
y=3 x=1 hope this helps :)
Step-by-step explanation:
Copy the axes below onto your paper. Add an appropriate scale and then place and label a point on the graph for each of the
products listed below.
Hotdogs
a. Dog-Eat-Dog has a supreme hotdog that weighs 80 grams and has 40 grams of fat MOT DOGS
b. Hot Doggies has a diet hotdog that weighs 50 grams and has only 9 grams of fat.
100
Fat (8)
50
c. Dog-alicious has a cheap hotdog that weighs 40 grams and has 30 grams of fat.
0
SO 100
Weight (8)
3
Answers
After 8 hours of snow, the temperature had changed by a total of -16 degrees. What was the average change in temperature each hour while it was snowing?
Answers
Answer:
-2 degrees
Step-by-step explanation:
Divide -16 by 8:
-16/8
= -2
So, the average change in temperature each hour was -2 degrees.
The average change of weather dropped 2 degrees for every hour is snowed.
Here,
After 8 hours of snow, the temperature had changed by a total of -16 degrees.
We have to find the average change in temperature in each hour.
What is Average?
Average is the middle value of the given sets of values.
Now,
After 8 hours of snow, the temperature had changed by a total of -16 degrees.
Hence, The average change in temperature in each hour = -16 ÷ 8 = -2
Therefore, The weather dropped 2 degrees for every hour is snowed.
Learn more about the average visit:
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Alex and leanardo went to the movies a drink cost $4.00 each and a bag of popcorn cost $ 5.00 each how many would they spend of they bouth 2 drinks and 2 Bags of popcorn
Answers
If Alex and Leonardo are both buying two bags of popcorn and drinks then the overall price would be $18.00.
$4.00 + $4.00 = $8.00 + $5.00 + $5.00 = $18.00
Therefore, they would spend 18 dollars.
Hope this helps ! <3
1/4n - 5 - 4n + 3 = 2
Answers
the powers of the variable in the algebraic expression should be
Answers
Answer:
a5 means that ia is variable and 5 is the power of variable a.This also ,eans variable(a)is multiplied fivr times by itself.And algebraic number'x'has 1 as irs power.or we can say that x1=x.This meansthat when a variable has 2 as its power,its poweris ignored and o ly variable in written as such.
I need help thank you
Answers
Answer:
c
Step-by-step explanation:
Choose the justification for each step in the solution of the given equation. Drag the labels to the correct locations on the table. Not all labels will be used.
Answers
Answer:
Step-by-step explanation:
Step Statements Reasons
1. [tex]-6=-\frac{2}{3}(x+12)+\frac{1}{3}x[/tex] Given
2. [tex]-6=-\frac{2}{3}x-8+\frac{1}{3}x[/tex] Distributive property
3. [tex]-6=-\frac{1}{3}x-8[/tex] Combine like terms
4. [tex]2=-\frac{1}{3}x[/tex] Addition property of equality
5. -6 = x Multiplication property of equality
6. x = -6 Symmetric property
Answer:
To get from step 1 to step 2, apply the distributive property to eliminate the parentheses.
To get from step 2 to step 3, combine like terms on the right side of the equation.
To get from step 3 to step 4, apply the addition property of equality to isolate the variable term.
To get from step 4 to step 5, apply the multiplication property of equality to isolate the variable, x.
To get from step 5 to step 6, apply the symmetric property to rewrite the equation with the variable on the left side.
Step-by-step explanation:
