Answer:
[tex]x = 14ft[/tex]
Step-by-step explanation:
Given
[tex]Actual\ Length = 21ft[/tex]
Model:
[tex]3\ ft = 2\ in[/tex]
Required
Determine the length of the replica
Represent the model as a ratio:
[tex]Ratio = 3\ in:2\ ft[/tex]
Convert to fraction
[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]
Represent the actual lengths as a ratio
[tex]Ratio = 21\ ft : x[/tex]
Where x is the length of the replica
Convert to fraction
[tex]Ratio = \frac{21\ in}{x}[/tex]
Equate both ratios (because they are in proportion)
[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]
[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]
Cross Multiply:
[tex]3 * x = 21 * 2\ ft[/tex]
[tex]3x = 42\ ft[/tex]
Solve for x
[tex]x = \frac{42ft}{3}[/tex]
[tex]x = 14ft[/tex]
Hence, the length of the replica is 14ft
Due in 20 mins pls help!
Answer:
A.
Step-by-step explanation:
it is in y=mx+b format
What is the product of (3a + 2)(4a2 – 2a + 9)? 12a3 − 2a + 18 12a3 + 6a + 9 12a3 − 6a2 + 23a + 18 12a3 + 2a2 + 23a + 18
Answer:
12a3 + 2a2 + 23a + 18
Step-by-step explanation:
Vertical multiplication works well when you have a binomial times a trinomial.
Multiply 2 times the trinomial and get 8a2 - 4a + 18 then multiply 3a times the trinomial to get 12a3. -6a2 + 27a
Then combine like terms.
The product of the givens expressions is 12a³ + 2a² + 23a + 18.
Product of the given expressionsThe product of the givens expressions is obtained by multiplying all the variables in the bracket as shown below.
(3a + 2)(4a² – 2a + 9) = 3a(4a² – 2a + 9) + 2(4a² – 2a + 9)
= 12a³ - 6a² + 27a + 8a² - 4a + 18
simplify by collecting similar terms together
= 12a³ + 2a² + 23a + 18
Thus, the product of the givens expressions is 12a³ + 2a² + 23a + 18.
Learn more about product of expressions here: https://brainly.com/question/1852123
Evaluate (-7)2.
p l e a s e
a n s w e r
q u i c k\
Answer:
(-7)2 = -14
Step-by-step explanation:
The parenthesis basically mean "multiply". So, this is a simple equation meaning -7 x 2. And remember, anytime we multiply a positive by a negative, you get a negative. So, simply multiply 7 x 2 = 14 and add a negative sign to make the solution true. So, -7 x 2 or (-7)2 = -14
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Also thank you for the generous points!! Stay safe and please mark brainliest!!
Answer:
-14
Step-by-step explanation:
just act as if -7 were positive then you know 7x2 = 14 cause' "()" means multiplication.
last, since 7 was negative in the first place then you turn your product back to a negative and you get -14
mark brainliest :)
Find the smallest solution, and describe the steps you used...[tex]-5ex^{-4x+2}+3=\frac{1}{2}log(x^2+1)[/tex] IM GIVING 50 POINTS!!!
Answer:
You said that you're giving "50" points, but you're actually giving "25" points.
Someone please help solve this!! I’ll give brainlist
Answer:
Inital height is 20
Step-by-step explanation:
h= (-5x-5)(x-4)
h= -5x^2+15x+20
Calculate the area of the rectangle.
Answer:
12
Step-by-step explanation:
You count all of the blue squares
The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side.The third side is 7 meters more than the first side. What is the length of each side?
Answer:
The length of each side of triangle is:
First side of triangle = 21 inches
Second side of triangle = 16 inches
Third side of triangle = 28 inches
Step-by-step explanation:
Perimeter of triangle = 65 meters
Let
First side of triangle = x
Second side of triangle = x-5 (The second side is 5 meters less than the first side.)
Third side of triangle = x+7 (The third side is 7 meters more than the first side.)
We need to find length of each side.
The formula used is:
[tex]\mathbf{Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle}[/tex]
Putting values and finding value of x
[tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\65=x+x-5+x+7\\65=3x+2\\Switching\:sides\\3x+2=65\\Subtracting\:2\:from\:both\:sides\\3x+2-2=65-2\\3x=65-2\\3x=63\\Divide\:both\:sides\:by\:x\\\frac{3x}{3}=\frac{63}{3}\\x=21[/tex]
So, We get value of x = 21
Now, finding the length of each side of triangle:
First side of triangle = x = 21
Second side of triangle = x-5 =21-5 =16
Third side of triangle = x+7 = 21+ 7 = 28
The length of each side of triangle is:
First side of triangle = 21 inches
Second side of triangle = 16 inches
Third side of triangle = 28 inches
Can someone help pls?
Answer:
Step-by-step explanation:
Let the original width be x
Then the original length = x + 11
Area = x * (x + 11)
If you decrease each side by 7 you get
Area 1 = (x - 7)(x + 4)
So area - area1 =
x (x + 11) -98 = (x - 7)(x + 4) Remove the brackets
x^2 + 11x - 98 = x^2 - 7x + 4x - 28 Combine the like terms
x^2 + 11x - 98 = x^2 - 3x - 28 Add 98 to both sides
x^2 + 11x = x^2 - 3x + 70 Cancel the x^2
11x = -3x + 70 Add 3x to both sides
14x = 70 Divide by 14
x = 70 / 14
x = 5
=====================
Original conditions
Answer width = 5
Length = 16
If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.
ANSWER ASAPPP
I WILL MARK BRAINLIET
EXPALIN HOW YOU GOT WHAT U GOT PLSSS
Answer:
The change should Sara receive from the $10 bill is $3.56.
Step-by-step explanation:
Given:
The table shows the prices of some breakfast items at a restaurant.
Item Price
One egg $1.69
Slice of bacon $1.49
Glass of orange juice $1.09
Sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast.
The sales tax for the order was $0.48.
She paid for her breakfast with a $10 bill.
Now, to find the change should Sara receive from the $10 bill.
Bill for the Sara's breakfast:
2 eggs = 2 x 1.69 = 3.38
A slice of bacon = $1.49.
A glass of orange = $1.09.
The sales tax = $0.48.
Total bill = 3.38 + 1.49 + 1.09 + 0.48 = 6.44
Sara paid for the breakfast bill = $10.
Now, to get the change Sara should receive we subtract the amount of bill from the money Sara paid for the bill:
sara paid for the breakfast bill - total bill
=10 - 6.44
=3.56
Therefore, the change should Sara receive from the $10 bill is $3.56.
hope it helps!
A line segment with A B C at points
Write the equation in slope intercept form of the line between the points (2,4) (6,-8) simplify your answer as much as possible.
Answer: Answer And explanation in picture
Step-by-step explanation:
Triangle B is a(n) ______________________ of Triangle A?
A) Reduction
B) Enlargement
Answer:
Enlargment
Step-by-step explanation:
The functions u and w are defined as follows.
u(x) = 2x+2
w(x) = – 2x² +2
Find the value of w (u(2)).
Answer:
w(u(2)) = -70
Step-by-step explanation:
u(x) = 2x + 2
w(x) = -2[tex]x^{2}[/tex] + 2
w ( u (2) )
Find u(2), substitute in 2 for x in the function u.
u(2) = 2(2) + 2
= 4 + 2
= 6
w(u(2))
= w(6)
Now subsitute in 6 for x, in the function w.
w(6) = -2[tex](6)^{2}[/tex] + 2
= -2 * 36 + 2
= -72 + 2
= -70
w(6) = -70
w(u(2)) = -70
Simplify the expression. Give your answer using only positive exponents. Please look at the screenshot!
Answer:
2\((x^5)(3))
Step-by-step explanation:
3[ 9 - ( 6 - 3 ) ] - 10
Answer:
The answer is 8
Step-by-step explanation:
Pay attention bro
the question is the photo
Answer:
its A. B. C. D. E.
Step-by-step explanation:
all of it are correct
What is 1/3 + 4/9 and how to solve
Answer:
7/9
Step-by-step explanation:
To add fractions, you have to have like denominators. First find the LCM (Least Common Multiple) of both denominators. That is 9. The second fraction already has a denominator of 9, so leave it as is. The first fraction doesn't so what will happen is you will be converting it into a fraction with a denominator of 9. Multiply the denominator by 3 to get 9. Then multiply the top by 3 because whatever you do to the bottom you do the top. You will then get 3/9. 3/9+4/9 is equal to 7/9 because you just add the numerators, but keep the denominators the same.
What is the length of segment JK
A. 6
B. 8
C. 9
D. 10
HELP, I am not good at triangles at all
The “war council” is a meeting that Dally has with the leaders of the Socs. What is the plan/agreement that results from Dally’s meeting with “the war council”?
Answer:
yes
Step-by-step explanation:
yes
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $71?
Answer:
99.40
Step-by-step explanation:
$71 * .4 = $28.40
$71 + $28.40 = 99.40
Answer:
The selling price would be $99.40
2x + 3y = -10
5y = 4x - 2
Answer:
(-2, -2)
Step-by-step explanation:
Answer:
(-2,-2)
Step-by-step explanation:
M a t h w a y
This is pre calculas summation please help lol
Answer: 1 - 2 + 4 - 8 + 16
Step-by-step explanation:
Answer:
-1-2-4-8-16
Step-by-step explanation:
(-2⁰)+(-2¹)+(-2²)+(-2³)+(-2⁴)
-1-2-4-8-16
-31
find the surface area of the cylinder using pie.
What is 2792 + 9383790202
Answer:
9383792994
Step-by-step explanation:
I the answer is 9383792994
Which pairs of triangles appear to be congruent? Check all that apply.
Answer:
i have no rescources
Step-by-step explanation:
desperate need of help plssss help :(....please
Pentagon GPEST is shown on the coordinate grid. Pentagon Pentagon GPEST is dilated with the origin as the center of dilation using the rule (x,y)→(0.2x,0.2y) to create pentagon G'P'E'S'T'.
Which statement is true?
Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is greater than 1.
Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is less than 1.
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is greater than 1.
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at G at negative 3 comma 4. P at 2 comma 4. E at 4 comma 2. S at 2 comma negative 3. T at negative 3 comma negative 3.. Vertices labeled with letters.
Answer:
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Step-by-step explanation:
Sorry im late homie
Option (4). Pentagon G'P'E'S'T' will be smaller than pentagon GPEST because the scale factor is less than 1.
Transformation of a figure by dilation: If a figure with the given vertex (x, y) is dilated with a scale factor
'k', image point will follow the rule,
(x, y) → (kx, ky)
If k > 1, image will be larger than preimage.If k < 1, image will be smaller than preimage.
Rule for the dilation given in the question,
(x, y) → (0.2x, 0.2y)
Here, k = 0.2 which is less than 1.
Therefore, pentagon G'P'E'S'T' will be smaller than pentagon GPEST.
Option (4) will be the correct option.
Learn more about the transformation here,
https://brainly.com/question/13166355?referrer=searchResults
Which statement correctly describes the expression (–12)7
Answer:
answer #n
Step-by-step explanation:
we cant see the options
Answer:
One factor is positive and one factor is negative, so the product will be negative.
Step-by-step explanation:
Can you please help me solve this I need it before 12/21/20 please help
Answer:
I only know that the first box is and it is counting by twos
Step-by-step explanation:
because 5+2 =7 then 6+4=10 then 7+6=13 then 8+8=16 and lastly 9+10=19
look everyone, im sorry if i get questions incorrect i really love math, go on call me a nerd. yes i am one. im also the kid thats quiet in class and also has anxiety so if someone gets upset at me for doing something wrong just know im very srry and im trying to help the best i can with these. aome of these i try and havent even learned yet and i learn things from the answers and i know how to do it after. again im incredibly sorry for the incorrect answers especially in mathmatics IM IN ALGEBRA lol :D have a good day and good night also who perfers school than online distance learning i learn a whole lot more in school than online? anyone else?
Answer:
heyyy its alright we all make mistakes , the most important thing is that you tried, and learned so you can help others and yourself in the future :D all efforts are appreciated
Step-by-step explanation:
i'm introverted so online school is epic for me
Answer:
Well I usually do bad in school
Step-by-step explanation:
