The actual area of the apartment will be 960 square feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
A blueprint shows an apartment with an area of 15 square inches.
If the blueprint's scale is 1 inch : 8 feet.
Then the scale factor will be 8/1 feet per inch.
Then the actual area square footage of the apartment will be
Actual area = 15 x (scale factor)²
Then the actual area of the footage will be
Actual area = 15 x (8/1)²
Actual area = 15 x 64
Actual area = 960 square feet
Thus, the actual area of the apartment will be 960 square feet.
More about the dilation link is given below.
https://brainly.com/question/2856466
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In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5
Answer:
2:3
Step-by-step explanation:
V = 4/3*pi*r^3
Diameter = 2r
The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.
The upper number is called as the numerator and the lower is called the denominator.
For example, 3/4 where 3 will be numerator and 4 will be denominator.
Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.
Now volume of planets(sphere) = πD³/6 where D is diameter of sphere
So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³
⇒ V₁/V₂ ∝ (D₁/D₂)³
Given that V₁/V₂ = 8/27
So 8/27 = (D₁/D₂)³
D₁/D₂ = 2/3
Hence, the ratio of diameters of two planets will be 2/3.
Learn more about Ratio here:
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A line is parallel to the line y=-2/3x+1 and it passes through the point (4,-1). Determine the slope of the line.
A) m=2/3
B)m=-3/2
C)m=-2/3
D)m= 3/2
Answer:
C) m=-2/3
Step-by-step explanation:
Parallel slope means it'll be the same.
m = -2/3
what is the distance between (8,-3) and (4,-7)
..I have tried
I don't know it is correct or not
hope it is helpful to you
Answer:
My sister has given correct answerWhat is 24 – 6х3+52 - (16+ 2)?
ОА.
9
ОВ.
23
Ос.
71
OD.
496
Answer:
40
Step-by-step explanation:
24 – 6х3+52 - (16+ 2)
PEMDAS states we do the paranthesis 1st
24 – 6 х 3 + 52 - (18)
Next, we do the multiplication
24 - 18 + 52 - 18
Since it's just adding & subtracting, we go from left to right
40
In January, Mrs. Jones’s business had expenses that totaled $2,500. Based on the information in the graph, how much money did Mrs. Jones spend on marketing in January?
Answer:
$375
Step-by-step explanation:
Not sure what the answer is?
Answer:
I think you are correct
hope it is helpful to you ☺️☺️☺️☺️
Answer:
O think you are correct . answer is 18 only.......
Step-by-step explanation:
Hope it helps you
Stuck on this question. Any help?
Answer:
no 5 7 6
Step-by-step explanation:
Can someone pleaseeee help me
Answer:
a). Common difference = 4
b). [tex]T_n=4n+3[/tex]
c). 51st term = 207
Step-by-step explanation:
Given arithmetic sequence is,
7, 11, 15, 19......
a). Common difference = Second term - First term
= 11 - 7
= 4
b). nth term of an arithmetic sequence is given by,
[tex]T_n=a+(n-1)d[/tex]
Here, n = number of term
a = First term
d = common difference
By substituting the values in the given formula,
[tex]T_n=7+(n-1)4[/tex]
[tex]T_n=4n+3[/tex]
c). 51st term of the sequence will be,
[tex]T_{51}=7+(51-1)4[/tex]
= 7 + 200
= 207
A parachutist's speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 2 seconds of free fall? Do not round your answers. Speed: 50ms Distancefallenin2seconds: 1,000m
pls hurry exam
Answer:
Speed of the parachutist is meters per second [tex]2.083[/tex] meter per second
Distance travelled in 2 seconds [tex]4.167[/tex] meter
Step-by-step explanation:
Speed of the parachutist is kilometers per hour = 180
Speed of the parachutist is meters per second [tex]\frac{180*1000}{24*60*60} = 2.083[/tex] meter per second
Distance travelled in 2 seconds [tex]2.083 *2 = 4.167[/tex] meter
Which of the following functions has a line of symmetry of x = 2?
y = (x - 2)2 + 5
y = (x + 2)2 - 5
y = (x - 5)2 + 2
y = (x + 5)2 - 2
Find the area of the shade region.round to the nearest tenth
Answer:
189.25
Step-by-step explanation:
first you find the area of the entire circle which is π times (14.5) squared so 210.25π. then you find the triangle which is 1/2 20×21= 21 then subtract 210.25π by 21= 189.25
Answer:
450.5 in²
Step-by-step explanation:
The area of the triangle
= (20×21)/2
= 210 in²
The hypotenuse of the triangle
=[tex] \sqrt{ {20}^{2} + {21}^{2} } [/tex]
=[tex] \sqrt{400 + 441} [/tex]
=[tex] \sqrt{841} [/tex]
= 29 in
The hypotenuse of the triangle (29 in)
= the diameter of the circle
The formula of area of a circle= πr²
The radius of the circle
= 29÷2
= 14.5 in
The area of the circle
= π × 14.5²
= 660.5 in² (rounded to the nearest tenth)
The area of the shaded region
= 660.5 - 210
= 450.5 in²
In the triangle below,
x = [? ] cm. Round to the
nearest tenth.
y
X
90°
20
10 cm
X=?
Answer: y ≈ 10.6 cm
Step-by-step explanation:
The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.
cos(20°) = (10 cm)/y
y = (10 cm)/cos(20°)
y ≈ 10.6 cm
The approximate value of the variable x will be 3.64.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The base of the right angle triangle is 10 cm, the perpendicular is x, and the hypotenuse is y.
Then the value of y will be given by the cosine of angle 20°.
cos 20° = 10/y
y = 10.64 cm
The approximate value of the variable x is given by the Pythagoras theorem.
H² = P² + B²
10.64² = x² + 10²
113.25 = x² + 100
x² = 113.25 – 100
x² = 13.25
x = 3.64
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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1. What is the m 2 in this parallelogram?
a) 115
b) 50
C) 15
d) 2
( IF I CAN ANSWER BOTH PLS DO )
Answer:
☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \: Number \: 1}} }}: [/tex]
[tex] \large{ \tt{ \angle \: DAC = \angle ACB = 50 \degree }}[/tex] { Since AD [tex] \parallel[/tex] BC & Being alternate angle }♨ [tex] \large{ \tt{ In \: \triangle \: ABC : }}[/tex]
[tex] \large{ \tt{ \angle \: CAB+ \angle \: ABC + \angle \: ACB = 180 \degree}}[/tex] { Sum of angles of a triangle }
⇾ [tex] \large \tt \: \angle \: CAB + 115 \degree + 50 \degree = 180 \degree[/tex]
⇾ [tex] \large{ \tt{ m \: \angle2 = 180 \degree - 165 \degree}}[/tex]
⇾ [tex] \large{ \boxed{ \tt{ m \angle \: 2 = 15 \degree}}}[/tex]
☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \:Number \: 2}}}}: [/tex]
♨ [tex] \large{ \tt{3x = 12}}[/tex] { Since the diagonals of parallelogram bisect each other }
⟶ [tex] \large{ \tt{x = \frac{12}{3}}} [/tex]
⟶ [tex] \large{ \boxed{ \tt{x = 4}}}[/tex]
Q. Can we set up an equation 2x = 8 in question number 2 ?
Ans : Yep! Since the diagonals of parallelogram bisect each other , you can :) When we solve 2x = 8 , we obviously get x = 4.
Hope I helped! ♡
Have a wonderful day / night ! ツ
[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
C. 15
D. 4
Step-by-step explanation:
Hope this helps
E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)
Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
PLZ HELP THIS IS DUE TODAY AND PLZ NO LINKS
Answer:
A. Stripped of things that cause pollutions
Step-by-step explanation:
You can find this in the last section 3rd sentence
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answer:
C.
Step-by-step explanation:
The table below represents students' favorite skittle color.
Using the table above, what is P( Boy|Green)?
6/17
4/17
2/3
3/20
Answer:
6/17
Step-by-step explanation:
number of boys who like green over total number of boys :
[tex] \frac{12}{34?} [/tex]
6/17
Von de som en bona pays 1. West End the stor 10 years when it is
The balance after 10 years is $
Answer:
10$
Step-by-step explanation:
Write 53 minutes to 4 hours as a ratio.
Answer:
The minutes wouldn't it be hours?
Step-by-step explanation:
Answer:
53:240
Step-by-step explanation:
Turn the hours into minutes since the minutes can't change to hours.
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
complete these ratios
curved surface area of A : curved surface area of B : = ? : ?
height of A : height of B = ? : ?
Answer:
Two figures are similar if the figures have the same shape but different sizes.
Then if we have two figures X and X'
Such that one dimension of X is D, the correspondent dimension on X' will be:
D' = k*D
Such that k is the scale factor that relates the figures.
1:k
Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:
S' = k^2*S
then the ratio of the surfaces is:
1:k^2
While the relation between the volumes will be:
V' = k^3*V
Here the ratio is:
1:k^3
Ok, in this case we have two cylinders
We know that the ratio between the base area ( a surface) is:
9:25
a) We want to find the ratio: curved surface area of A : curved surface area of B
Because again we have a surface area, the ratio should be exactly the same as before, 9:25
b) height of A : height of B
In this case, we have a single dimension.
Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:
9:25
is related to k^2
Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:
√9:√25
3:5
This is the ratio of the heights.
Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.
(3/3):(5/3)
1:(5/3)
Then:
k = 5/3
Four friends were born in consecutive years. The sum of their ages is 62.
What is the age of the oldest friend?
Answer:
4+62=66
Step-by-step explanation:
What is the volume of the figure? Enter the answer in the box
Answer:
896
Step-by-step explanation:
Answer:
(10 × 4 × 18) + ( 9 × 10 × 9 ) = 1530
Helppppp! What is the value of 5^3i^9
Answer:
125i.
Step-by-step explanation:
5^3 is 125 i^2 is -1 so i^8 is positive and you have 1 i left.
(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above
Answer:
Step-by-step explanation:
Answer:
C.D.E.F
Step-by-step explanation:
log(A\sqrt{B}) \log(A^2)
A. \log(A) - 2\log(B) \log(A^2)
Answer A is wrong because sqrt is denoted by 1/2 and the coefficient of log B is 2 not 1/2
B. \frac{\log(A)\log(B)}{2} 2\log(A)
Answer B is wrong because 2 is multiplied by B instead of 1/2
C.\log(A) \frac{1}{2}\log(B) \log(A^2)
Answer C is correct because 1/2 is multiplied by log B
D. \log(A^{3}) \frac{1}{2}\log(B)
Answer D is also correct because 1/2 is multiplied by log B
E. 3\log(A) \frac{1}{2}\log(B)
Answer E is also correct because 3 is co efficient of log A
F. \log(A^3\sqrt{B})
This is correct. Here the log is applied to the given fraction
Which of the following is an angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT?
Question 7 options:
A)
m∠RST = m∠QRT – m∠QRS
B)
m∠QRT = m∠RST – m∠QRS
C)
m∠QRS = m∠RST – m∠QRT
D)
m∠QRS = m∠RST
What is the factored form of 30x2 - 25x -30?
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
30x2 - 25x -30 Factoring
Step 2
30x2 - 25x -30 factor out the equation
5(3x+2)(2x-3)
Step 3
5(3x+2)(2x-3) Check by simplifying
When you check, you will get the question back
Answer
5(3x+2)(2x-3)
Hope this helps
write a quadratic equation in the form x^2+bx+c=0 that has the following roots: {-7,6}
Answer:
f(x) = x^2 -12x + 85
reverse engineer this, like Prof. Sheldon Cooper figuring out Howard's card trick
x=6+or - 7i
x-6 = + or - 7i
square both sides
(x-6)^2 = -49
x^2 -12x + 36 = -49
x^2 -12 + 85
What is the solution to the equation -x^3-4=0.5x^2+x+4
Answer:
x = −2
Step-by-step explanation:
the steps are super long but this is the answer
PLA ANWSERRR ITS EASY BUT PLS SHOW WORKKKK
Answer:
200 lbs
Step-by-step explanation:
Divide the total cost of the two books which is 50 by the current price for aluminum which is 0.25.
50/0.25=200
Can you please help me I will give you 10 points if you do
Answer:
A=-1, B=2
Step-by-step explanation:
A is between -2 and 0, which is -1, and B is between 1 and 3, which is 2