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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(a−2b)3 when a=−4 and b=−1/2
Answer:
-9
Step-by-step explanation:
(-4-2*-1/2)3
(-4+1)3
-3*3
-9
Answer:
-27
Step-by-step explanation:
Hi there!
[tex](a-2b)^3[/tex]
Plug in the given information:
[tex](-4-2(\displaystyle -\frac{1}{2} ))^3\\\\(-4-(\displaystyle -\frac{2}{2} ))^3\\\\(-4+1)^3\\\\(-3)^3\\\\-27[/tex]
I hope this helps!
Hello can some one please help me
Answer:
I think it is 4/25...?
Step-by-step explanation:
Let's consider F(x) = x to be the parent function. Write a linear function whose graph is
shifted left 3 units, reflected over x-axis and then shifted up 5 units in this exact order.
Answer:
-3
Step-by-step explanation:
I Think :D
Alana bought fabric to make scarves lf the fabric costs $5.50 per yard how much fabric did she buy for $26.40?
A 0.48 yards
B 2.4 yards
C 4.8 yards
D 48 yards
Answer:
C : 4.8 yards
Step-by-step explanation:
$26.40 ÷ $5.50
= 4.8
Hey ! Can anyone help me with this question please ? Thank you
Answer:
x = 102°
Step-by-step explanation:
a straight line = 180°
180 - 78° = 102°
Answer:
x°+78°=180°[supplementry angle]
x°=180°-78°
x°=102°
answer
PPL PLZ HELP!! I WILL GIVE BRAINILEST!!!
Step-by-step explanation:
to find the answer, you want to convert the fractions into decimals.
to do that, you need to divide 1 by the denominato then multiply by the numerator.
ex: 3/4
1÷4=0.25
0.25×3= 0.75
That will give you an idea where to put it in the number line.
hope it helped
Alejandra quiere comprar lápices de color verde y morado. Los lápices verdes van en cajas de 100 unidades, mientras que los morados van en cajas de 40.¿Cuál es el mínimo número de cajas de cada color que debe comprar Alejandra para tener el mismo número de lápices de ambos colores?
2 CAJAS
3 CAJAS
4 CAJAS
5 CAJAS
how to find slope of (-7,3) and (5,6)
Answer:
The slope is 1/4
Step-by-step explanation:
y2-y1 6-3 3 1
m= —— = —— = —— = ——
x2-x1 5+7 12 4
Least common multiple of 168 and 76
Answer:
Best to draw out a factor tree.
Answer:
3192
this is the answer but if you need to show work then I can't help ya bud
I need help by the end of this class !!
Answer:
a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
4=-10+14
plug 4 into y
multiply-2 with 5
Which of the following is the correct factorization of the polynomial below? 2p^2 - 10pq+ 25q^2
A. (2p-5q)(p-5q)
B. (2p-5q)(p+5q)
c. (2p-5q)(2p² + 2q)
D. The polynomial is irreducible.
Answer:
answer is in the photo
Step-by-step explanation:
Tom must choose a number between 49 and 95 that is a multiple of 4, 7, and 14. Write all the numbers that he could
choose. If there is more than one number, separate them with commas.
Answer:
56;70;84
Step-by-step explanation:
HELP PLEASE I NEED HELPPPP!!!!!!!!!!
two triangles is equal to 12 ft squared
the area of rectangles is equal to 8 ft x 6 ft which will give you 48 feet squared
you add them together to get the total area and you will get 84 feet sqaured
For v = -3(r - 3) when r= -1, what does v equal
Answer: 12
Step-by-step explanation:
v = -3(-1-3)
v= -3(-4)
v= 12
Victor has 2 times as many as trophies as Dean. Together , víctor and Dean have 27 trophies . How many trophies does víctor have?
My dinner cost $24.15 plus tip. I paid $28.98 total. What tip percentage did I leave?
Answer:
24.12+28.90
Step-by-step explanation:
Bella has a stack of 41 bills (ones, fives, and tens) in an envelope. She has 3 less tens than fives and the quantity of ones doubles the number of fives. Write and solve an equation to determine how many of each bill type she has
Answer:
x+(x-3)+(2*x)=41
Step-by-step explanation:
We know that the other two bills are based of of a constant value for fives. Therefore, the fives can be x. There are 3 less tens than fives, so the number of tens equals x-3. We double the number of fives to get the number of ones, so the number of ones equals 2 times x. When we add all 3 of those together, we get our total number of 41. If you want to solve, you have to solve for x, then you can plug it back into the formula. I hope this helps!
Emma is planting 48 roses and 72 sunflowers. She wants to plant the same number of flowers in each row. But each row should have the same type of flower. What is the greatest number of flowers that can be planted in a row?
Answer:
She can plant 24 flowers in each row.
Step-by-step explanation:
Greatest common factor of 48 and 72 is 24
Solve for w.
–1.01 = 1.4(w + 2) − 2.41
Answer:
w=-1
Step-by-step explanation:
Algebra.
Answer:
w = - 1Step-by-step explanation:
–1.01 = 1.4(w + 2) − 2.412.41 - 1.01 = 1.4(w + 2)1.4 = 1.4(w + 2)w + 2 = 1w = 1 - 2w = - 1Please help!!!!!
Solve for X
(Ignore the 4)
Answer:
[tex] \frac{3x + 1}{2} - 1 = 2x) \times 2 \\ 3x + 1 - 2 = 2x \\ 3x - 2x = 2 - 1 \\ x = 1 [/tex]
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]\frac{3x+1}{2}-1=x[/tex]
Add 1 to both sides:
[tex]\frac{3x+1}{2}-1+1=x+1[/tex]
[tex]\frac{3x+1}{2}=x+1[/tex]
Multiply both sides by 2:
[tex]\frac{3x+1}{2}\times \:2=x\times \:2+1\times \:2[/tex]
[tex]3x+1=x\times \:2+2[/tex]
Subtract 1 from both sides:
[tex]3x+1-1=x\cdot \:2+2-1[/tex]
[tex]3x=2x+1[/tex]
Subtract 2x from both sides:
[tex]3x-2x=2x+1-2x[/tex]
[tex]x=1[/tex]
_______________________
Describe the domain and range of this function
Domain:
Range:
Find the following values:
f(18)=
f(5)=
f(17)=
NO LINKS/NO ASSESSMENTS!!!
Answer:
According the graph we have:
Domain: set of input values [0, 26]Range: set of output values [0, 20]f(18) = 16f(5) = 2f(17) = 142 5/14 divided by (2 5/8 times 1 3/4)
Answer:
1.947
Step-by-step explanation:
if you write down the equation you will get this answer and see it is not respecting meaning it does not go on it has a different pattern
Convert 150 degrees to radians.
Answer:
Option 2
Step-by-step explanation:
Radians = 150 × π/180
=5π/6
A map has a scale of 1 centimeter:8 kilometers.
Use the given actual distance to find the distance
on the map: 4 km
Answer:
Step-by-step explanation:
I think it is 29.3 I am really not sure.
Find the value of x if the two triangles are similar. Explain.
Given :
The given two triangles are similar .To find :-
The value of x .Solution :
In larger triangle :-
90 + y + y = 1802y = 180 - 90 2y = 90 y = 45°As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45x = 45/15 x = 3a cretain 12- ounce soft drink contains about 10 teaspoons of sugar. if you drink 18 ounces of this soft drink, how many teaspoons of sugar have you consumed
Answer:
15 teaspoons
Explanation:
The ratio of soft drink to sugar is 12:10, when simplified it is 6:5 (divide by 2)
Since there's 18 oz of soft drink, we multiply 6 by 3, and because it's a ratio we must also multiply 5 by 3, which gets us 15.
18:15
Please help with the homework please thanks
I have written the answers and the steps on a piece of paper.
Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
A, B, and C of the universe, U, satisfy the following conditions.
n(U) = 100
n(ANB) = 14
n(A) = 40
n(BNC) = 13
n(B) = 50
n(ANC) = 14
n(C)= 30
n(ANBNC) = 7
q=
S=
t=
V=
w=
X=
Answer:
t=14
v=13
q=12
s=23
w=-4
x=28
Step-by-step explanation:
we know that the universal set =100
so, everything in it must add up to 100
first, from the information given to us,
t= n(A n C)= 14
v=n(B n C)= 13
to find q
we know from our guide that n(A) =40
which means everything inside A will add up to 40
therefore,
q + 7 + 7 + t = 40
and we already know that t = 14
so, that will be;
q + 7 + 7 + 14 = 40
therefore, q = 12
to find s,
we all know that n(B) = 50
which means that everything inside B will be equal to 50
therefore,
s + 7 + 7 + v = 50
and we know that v = 13
therefore,
s + 7 + 7 + 13 = 50
and s will end up to be = 23
to find w,
we know that n(C) = 30
so, everything in C end up to be all equal to 30
therefore,
t + 7 + w + v = 30
from our solution, t = 14, v = 13
so,
14 + 7 + w
q = 19, s = 30, t = 7, v = 6, w = 10, x = 7.
What is a set ?A set is a collection of well defined objects.
According to the given question of Venn diagram given,
n(U) = 100, n(A∩B) = 14, n(A) = 40, n(B∩C) = 13, n(B) = 50, n(A∩C) = 14, n(C) = 30 and n(A∩B∩C) = 7.
t = n(A∩C) - n(A∩B∩C).
t = 14 - 7
= 7.
q = n(A) - [ n(A∩B) + t ]
q = 40 - ( 14 + 7 )
q = 40 - 21
q = 19.
v = n(B∩C) - n(A∩B∩C)
v = 13 - 7
v = 6.
s = n(B) - [ n(A∩B) + v ]
s = 50 - ( 14 + 6 )
s = 30.
w = n(C) - [ n(A∩C) + v ]
w = 30 - ( 14 + 6 )
w = 10.
We know x = n(U) - q - s - w - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C).
x = 100 - 19 - 30 - 10 - 14 - 13 - 14 + 7.
x = 7.
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How many average points per game did Denver score?
please help me with these. i do not understand how to do them.