The scale factor of area of the drawing to the area of the office is the
square of the scale factor of the length of the drawing.
The area of the office space is 192 square yards.Reasons:
The given parameters are;
1 inch in the scale drawing = 4 yd. in actual dimension
4 yd. = 144 inches
Therefore;
1 inch in the scale drawing = 144 inches in actual dimension
The scale factor of length of the drawing, s = 1:144
The scale factor of area = s²
Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =s^2[/tex]Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =\dfrac{12}{A} = s^2 = \left( \dfrac{1}{144} \right)^2[/tex]Where;
A = The actual office space area
There fore;
12 × 144² = A × 1²
A = 12 × 144² = 248,832 in.²
1 yd.² = 1,296 in.²
[tex]248,832 \, in.^2 = \dfrac{248,832}{1,296} \, yd.^2 = 192 \, yd.^2[/tex]The area of the office space is 192 square yards.
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Part 2: Write a rule to describe each transformation
NO LINKS! NO ASSESSMENT!
Answer:
(x, y) → (x, -y)Step-by-step explanation:
We can see each corresponding point of the figures is mirrored over x- axis.
This is a reflection and the rule is:
(x, y) → (x, -y)Answer:
(x,y) => (x, -y)
Step-by-step explanation:
U in -x, y -> U' in -x, -y(transformation : x to x and y to -y)
T in -x, -y -> T' in -x, y(transformation : -x to -x (stand) and -y to y)
V in -x, y -> V' in -x, -y(transformation : -x to -x (stand) and y to -y)
So The Rule is :
(x,y) => (x, -y)#LearnWithEXO
graph this linear equation
y-2=4(x-1)
x= 0,1
y= -2,2
Slope 4
Y-Intercept (0,-2)
Explain step by step please!
Thirty copies of a textbook weigh a total of 75lb. What is the weight of each book?
Answer:
Each book weighs 2.5 pounds.
Step-by-step explanation:
75/2.5 is 30. Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.
Answer:
2.5lb
Explanation:
In equation form the question is asking for x in
[tex]30(x) = 75[/tex]
Since multiplication is reversible (to be division), we can switch the equation up.
[tex]75[/tex] ÷ [tex]30 = x[/tex]
So the answer is
[tex]75[/tex] ÷ [tex]30 = 2.5[/tex]
Does anyone know what the numbers on the left mean
Step-by-step explanation:
yes I know if you follow me I will give you your answer
−x2 if x=−4 pls help
Answer:
x=4
Step-by-step explanation:
Newton uses two properties ti rewrite the expression (4x23)x25 identify the properties he used why would Newton use these properties
The two properties newton used to rewrite the expression are;
- Associative Property; Because it involves change of grouping of numbers in the expression.
- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.
This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;- Associative Property
- Commutative Property
- Distributive Property
Let us define each of them;
1) Associative Property; This property in algebra is one that means that no
matter how we group the numbers, we will still get the same result. e.g.
x + (y + z) = (x + y) + z.
2) Commutative Property; This property means that we can change the
order of operation and still get the same answer. For example;
p × q × r = p × r × q
3) Distributive Property; This property means that multiplying the sum of
two or more which are in a bracket by a number outside the will be equal to
the answer gotten when we multiply each number in the bracket
individually by the number outside and then adding their respective
products together. For example; p(q + r) = (p * q) + (p * r)
Newton has the expression; (4 × 23) × 25
Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.
For the associative property as shown above, he will arrive at;(4 × 23) × 25 = 4 × (23 × 25)
For the distributive property as shown above, he will arrive at;(4 × 23) × 25 = (25 × 4) + (25 × 23)
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1) (2.01) Identify domain and range. Then determine whether the relation is a function or not. Explain your reasoning.
x y
2 2
-1 4
0 6
3 2
Is this relation a function? Why or why not?
solve
anglessssssssssssssssssssssssssssssssssssssssssssss
Answer:
x = 12
Step-by-step explanation:
Find the least common multiple of 6, 10, and 5.
Answer:
30
Step-by-step explanation:
First, let's list the first 10 multiples of 6, 10, and 5.
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60..
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100..
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60...
Ah ha!
Can you see a common multiple? It is 30, isn't it?
So 30 is our answer.[tex]ANSWERED:\\GraceRosalia[/tex]log2 (x - 1) - log6(x + 2) = 2
Answer:
log2(x - 1) - log6(x + 2) = 2
x ≈ 12.1485
Write the slope-intercept equation of the line passing through (3.4, 17.8) and (5.7, 64.7). Round the final slope and y-intercept to the nearest tenth in your answer. Show clear work.
Answer:
Answer:
y = 20.39x - 51.526
Step-by-step explanation:
y2 - y1 / x2 - x1
64.7 - 17.8 / 5.7 - 3.4
46.9/2.3
= 20.39
y = 20.39x + b
17.8 = 20.39(3.4) + b
17.8 = 69.326 + b
-51.526 = b
Which compound inequality can be used to solve the inequality 3x+2>7
Answer:
3x + 2 < –7 or 3x + 2 > 7
Answer:
D: 3x + 2 < –7 or 3x + 2 > 7.
Step-by-step explanation:
Will mark as brainlist answer quickly
Choose the present perfect tense for the following verb.
make
Marcet_____ her special chocolate cake many times.
has maked
have made
has made
made
Answer:
Marcet has made her special chocolate cake many times.
Please mark as Brainliest, thank you!
Please help
100 point question
I will mark brainliest
Please answer the questions in the picture
Thanks :)
Answer:
5. yes It still has the same density because it is the same thing.
6. a. float less than one
b. Float less than one
C. Sink greater than one
7. 1652.4 This is because the density equation is mass/volume. We have the density and mass but no volume. do get it we need to re arrange the equation. mass x density = volume.
Step-by-step explanation:
Just need someone to clarify things with me!
As I was solving this equation, I got:
x^-2
-------
x^10
I moved x^-2 down with x^10
So in x^-2's place, I placed a positive 1.
1
----------------------
x^10 times x^-2
The radical rule here is to pretty much subtract ahead. However, this extremely smart person said something like if I move a negative number to the denominator, it becomes positive. However, in this case, x^-2 stays the same.
Anyone explain here??
Answer:
[tex]\frac{1}{x^{12} }[/tex]
Step-by-step explanation:
Given [tex](\frac{x}{x^{-5}})^{-2}[/tex]
The Negative Exponent Rule states that, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]
Basically, since you're raising the fraction inside the parenthesis to a negative exponent, the whole fraction becomes a denominator of 1: [tex]\frac{1}{(\frac{x}{x^{-5}})^{2}}[/tex]
Then, you'll have to work on the denominator:
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}}[/tex]
Next, you'll have to work on the divisor of x² (in the denominator), [tex](x^{-5})^{2}[/tex] by using the Power-to-Power Rule of Exponents: [tex](a^{m})^{n} = a^{mn}[/tex], which results in:
[tex](x^{-5})^{2} = x^{-10}[/tex]
Since it is a negative exponent, you'll have to apply the Negative Exponent Rule once again to the denominator.
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}} = \frac{1}{\frac{x^{2} }{x^{-10}}} = \frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}}[/tex]
At this point, you could apply the Fraction rule onto the denominator: [tex]\frac{a}{\frac{b}{c}} = \frac{a*c}{b}[/tex]
So the denominator now becomes:
[tex]\frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}} = \frac{1}{x^{2}*x^{10} }[/tex]
Finally, you could apply the Product Rule of Exponents, [tex]a^{m}a^{n} = a^{m + n }[/tex] onto the denominator:
[tex]\frac{1}{x^{2}*x^{10} } = \frac{1}{x^{2+10}} = \frac{1}{x^{12} }[/tex]
Therefore, the correct answer is: [tex]\frac{1}{x^{12} }[/tex]
Solve this equation to determine the number of solutions 3(2 + 4) - 2 = 2(2x + 5) - 2 Plsss help its do today and I leave for school in 20 minutes I have one more question after this!
Answer:
duh
Step-by-step explanation:
Select the correct answer.
The slope of FG is 4. Point Fis located at (2,3). Which could be the coordinates of point G?
OA (6,4)
OB. (3,7)
OC. (6,7)
D.(8,12)
Answer:
B
hope it helped
Coordinates of G will be : (3, 7)
What is a slope?
Slope of a line is a number that describes both the direction and the steepness of the line.
Since , slope of line = (y2-y1)/ (x2-x1) equation 1
According to question :
given : slope =4
F is located at (2,3), which implies x1 = 2 and y1 = 3
now , substituting the value in equation 1 , we get
4 = y2 - 3 / x2 - 2
4 * x2 - y2 = 5 equation 2
Using above options , let us do hit and trial method in order to find answer.
Firstly let us take option A) 6,4
putting value of x2=6 in equation 2 and see if y2 comes 4 or not?
4*(6) - y2 =5
y2 = 24-5
y2 = 19 which is not equal to 4 , hence this is incorrect option.
secondly , let us take option B) 3,7
similarly we get ,
4* 3 - y2 =5
12 -5 = y2
y2=7 hence this is the correct option
B) 3,7 is the answer
let us learn more about slope
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#SPJ2
your friend is trying to guess how much money you make at your job, so you give them a riddle. You tell your friend that you work 3 hours on Friday and 6 hours on Saturday, And that you also receive an allowance of $20 from your parents.. In total you are $92 every week. What would your friend have to guess your wage is in order to be correct?
Answer:
$8 an hour
Step-by-step explanation:
1.) 92 - 20 = 72
2.) 3 x 8 = 24
3.) 6 x 8 = 48
4. 24 + 48 = 72
OR
1.) 92 - 20 = 72
2.) 6 + 3 = 9
3.) 72 / 9 = 8
either way to solve gives you the correct answer as shown above. Also if answer is correct please leave ”thanks” heart
determine the domain and range of the function F= {(2,1),(30,-7),(34,1),(54,0)
Answer:
Domain = 2,30,34,54
Range = 1,-7,1,0
Step-by-step explanation:
Domain = x input
Range = y output
Your function is f(x) = y.
what's name of H2CO3
Answer:
carbonic acid
Step-by-step explanation:
this is a compound called carbonic acid
Below is the graph of y= |xl.
Translate it to make it the graph of y=
v = (x+3| +4.
Solve for x. x 2 = 1 3 A) 6 B) 1 6 C) 2 3 D) 3 2
Answer:
The answer is not given in the options.
Step-by-step explanation:
2x = 13
or, 2x/2 = 13/2 (multiplying with (1/2) in both sides)
or, x = 13/2
or, x = 6.5
Help asapppp pleaseeeeeee
Which relationship is a function
(0,3)(1,2)(1,4)(2,1)
i need help with questions 1-10 i dont know how to do financial math and can i see how the work is done please
Which division problem is modeled in the image? A) 2 ÷ 6 = 3 B) 2 ÷ 3 = 6 C) 3 ÷ 2 = 6 D) 6 ÷ 3 = 2 the image has 3 circles an 2 stars in each circle
Answer:
b
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
8(b+1) = -11-3b. what is the answer
Answer:
B= -19/11 (negative 19 over 11)
george started a coin collection. his dad gave him 75 coins. each month he will add 20 coins. Which equation can be used to find y, the total number of coins in george's collection after x months? A. y = 75x + 20x By = 20x + 75 C. y = 75x - 20 D. 20x - 75
Answer: B
Step-by-step explanation: Hope this helps!
he got a one time thing of 75 coins and now gets 20 coins for each month which explains 20x. (X being the number of months)
The equation that could be used for determining the y should be option B y = 20x + 75
Calculation of an equation:
Since dad gave him 75 coins. each month he will add 20 coins.
Here we assume a number of months be x
So, the equation is
y = 20x + 75
Therefore, we can conclude that The equation that could be used for determining the y should be option B y = 20x + 75
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Victor has 2 times as many as trophies as Dean. Together , víctor and Dean have 27 trophies . How many trophies does víctor have?
Answer:
Victor has 18 trophies
Step-by-step explanation:
Let's set up "let statements"
Let d = Dean's trophies
Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...
Let 2d = Victor's trophies
Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...
2d + d = 27
Combine like terms...(2d and d)
3d = 27
Divide 3 on both sides to isolate the variable "d"
3d ÷ 3 = d
27 ÷ 3 = 9
So...
d = 9
That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...
2 · 9 = 18
Therefore, Victor has 18 trophies!
Hope this helps :)
Answer:
Vitor has 18 trophies and Dean has 9.
Step-by-step explanation:
Find the values of x, y, and z in the triangle to the right
Answer:
x = 36 , y = 64 , z = 80
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angle.
3x + 8 = x + z
3x - x - z = -8
2x - z = -8 ------------ (I)
z + 3x - 8 = 180 {linear pair}
3x + z = 180 + 8
3x + z = 188 --------------(II)
Add (I) and (II) and z will be eliminated and we can find the value of 'x'
(I) 2x - z = -8
(II) 3x + z = 188 {Now add}
5x = 180
x = 180/5
x = 36
Plugin x = 36 in equation (II)
3*36 +z = 188
108 + z = 188
z = 188- 108
z = 80
x + y + z = 180 ----------------(III) {angle sum property of triangle}
36 + 80 +y = 180
116 + y = 180
y = 180 - 116
y = 64
