A scale drawing of a house shows a closet with floor dimensions of 4.4 cm by 3.2cm. The scale from the drawing to the actual closet is 2cm for every 1m. WhT is the actual area of the closets floor
The actual area of the closet floor is 3.52m.
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.
It has different lengths and widths.
We have,
Closet dimensions:
Length = 4.4 cm
Width = 3.2 cm
We need to convert the unit cm into meters.
We are given that,
2cm = 1m
Multiply 4.4/2 on both sides
4.4 cm = 4.4/2 x 1m
4.4 cm = 2.2 m
Length = 2.2m
Multiply 3.2/2 on both sides.
3.2 cm = 3.2/2 x 1m
3.2 cm = 1.6 m
Width = 1.6m
The actual area of the closet:
= length x width
= 2.2m x 1.6m
= 3.52m
Thus the actual area of the closet floor is 3.52m.
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Each side of the triangle is represented by an expression. Find the value of x is the triangle has a perimeter of 73.
Answer:
Step-by-step explanation:
The answer is 27
The value of x is 4.
What is the perimeter of a triangle?The perimeter of a polygon is the total length of the boundary. For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.
The triangle has a perimeter of 73.
[tex]7x-2+3x+9+8x-6=73\\18x+1=73\\18x=72\\x=4[/tex]
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Right Triangle ABC has sides of length 5 units, 12 units and 13 units. The triangle is dilated by a scale factor of 3 around point B. What is the area of triangle A'B'C'?
Answer:
Step-by-step explanation:
Multiply each # by 3 so 15 36 39
(15x36)/2=270
I'm sorry if its wrong.
The area of the right-angle triangle A'B'C' will be 450 square units.
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.
Right Triangle ABC has sides of length 5 units, 12 units, and 13 units. The triangle is expanded by a scale element of 3 around point B.
Then the dimension of the right triangle is given as,
A'B' = 3 x 5 = 15 units
B'C' = 12 x 5 = 60 units
A'C' = 13 x 5 = 65 units
The area of the right-angle triangle A'B'C' will be given as,
A = (1/2) x 15 x 60
A = 15 x 30
A = 450 square units
The region of the right-point triangle A'B'C' will be 450 square units.
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I need help with this without links
Answer:
36°
Step-by-step explanation:
I used an online protractor to solve it
I NEED HELP!!!
solve x^3 - 6x^2 - 7x + 60 by factoring. show all work
(using the method in the picture below)
Answer: x = -3, 5, 4
Step-by-step explanation:
Don't have time for it
If the measure of central angle is 57 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)
If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.
Recall:
The image attached below shows the relationship between the measure of the central angle and its intercepted arc. Measure of central angle = its intercepted arc.Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.
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Daniel purchased a 1 year CD, c, from a bank. He bought it at an annual interest rate of 6%. After 1 year, Daniel cashes in the CD. What is the total amount it it worth?
Step-by-step explanation:
if I understand correctly, then he bought a CD with a balance of c and an annual interest rate of 6%.
now, after this one year the CD is worth (the account balance is) c + 6% = 100% + 6% = 106% = 1.06×c
8. Steve rode 18 miles on his bike in 2 hours. Which shows Steve's average rate expressed as
a unit rate? (6.RP.2)
a.
4 miles / hour
b. 9 miles / 1 hour
c. 18 miles /2 hours
d. 36 miles / 4 hours
Answer: It would be b.
Step-by-step explanation: A unit rate means a expression for 1. If you take the ratio 2:18 and change it to 1:X, you divide both sides by 2, and X is 9 meaning Steve travels 9 miles per hour.
is y=3x^2+2 a linear function
Answer: No!
Step-by-step explanation: This is a parabola. The graph for this function is not straight. We can also tell this is not a linear function because the degree of the function is 2.
Hope this helps :)
No.
y = 3x² + 2 has a degree of 2. So, it'll not make a graph which is a straight line. It's NOT a linear function. Linear functions have a degree of 1 or 0.
This is a quadratic polynomial (degree = 2) & when drawn on a graph, it'll make a parabola.
_____
Hope it helps ⚜
It was -5° in Copenhagen and -12° in Oslo.
Which city was colder?
Answer:
Oslo
Step-by-step explanation:
It's colder in Oslo by 7 degrees.
hope this answer helps!
tell me numbersin order
Part 1:-
cost to park of a day is= $25+$43+$61+$79 =$208and the hourly rate to a paddle boat =208÷24=$8.6 per hour______________________
What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Completethe explanation.The total cost to rent the boat will be
3.5 hours x $ 12 per hour + $ 5 =$47
if she spilt cost with a friend ,they will each pay$47 ÷ 2= $ 23.5
Twice jack’s age plus 5 is 21.write and solve an equation.how old is jack
Answer:
8
Step-by-step explanation:
If j represents Jack's age, we have ...
2j +5 = 21
2j = 16 . . . . . . subtract 5
j = 8 . . . . . . . . divide by 2
Jack is 8 years old.
Using a stopwatch, Tyrone determines it takes him 58. 2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work? 1 mile = 5,280 feet 19. 8 feet per second 19. 84 feet per second 45. 3 feet per second 45. 36 feet per second.
The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
Given that,
Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.
We have to determine,
Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?
According to the question,
Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,
the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Substitute the values in the equation,
[tex]\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute[/tex]
If 1 mile = 5,280 feet, then his speed is,
[tex]\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\[/tex]
And 1 minute = 60 seconds, then his speed is,
[tex]\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second[/tex]
Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
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Mrs. Thomas had 18 cups of popcorn. She wanted to separate them into bags that were cup bags. How many bags can she make?
Answer:
the answer would be 3 bags of 6
Use the graph to find the cost of 8 shirts.
Cost of Shirts
y
200
8 8 8 8 8 8 8 8 8
Cost ($)
120
0
7 8 9 10 11
Number of shirts
O A. The cost of 8 shirts is $120.
OB. The cost of 8 shirts is $150.
Ο Ο Ο Ο
C. The cost of 8 shirts is $8.
O D. The cost of 8 shirts is $15.
Jill said Eight times my age 3 years ago equals
104 How old is Jill now?
Answer:
13 yrs old
Step-by-step explanation:
104/8=13
Answer:
14 years ago
Step-by-step explanation:
birthday January 16
After a series discount of 18/10, a GPS had a net cost of $252.45. What is the list price?
..EE
The list price of the GPS is $
(Round to the nearest cent as needed.)
Answer:
$237.50
Step-by-step explanation:
5/100=.05
250•.05=12.5
250-12.5=237.50
For the polynomial
f(x) = 2x4 – 8v? + 77-25
as
X->
→ -*f(x) –
- DO
We can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.
Given the polynomial function expressed as:
[tex]f(x)=2x^4-8x^2+7x-25[/tex]
If x tends to negative infinity, the polynomial function will become:
[tex]f(x)=2(-\infty)^4-8(-\infty)^2+7(- \infty)-25\\f(x)=2(\infty)-8(\infty)+7(- \infty)-25\\f(x)=\infty -\infty -7\infty - 25\\f(x) =\infty - 25[/tex]
Since infinity is a large number, therefore subtracting 25 from it will not have any effect on it and will still return a positive infinity.
Hence we can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.
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n a class of 40 students, 15% of the students were absent on a particular day.
How many students were absent on that day?
Answer:
6
Step-by-step explanation:
15% of 40 is 6.
So 6 was absent.
Out of 40 students total 6 students were absent on the particular day.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Total number of students in a class = 40.
Also, 15% of the total students were absent on a fixed day.
To find the number of students who were absent,
Use percentage property,
Absent students = 40 x 15%
= 40 x 15/ 100
= 600 / 100
= 6
Total number of 6 students were absent on that day.
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9_9_9_9=111
what are the signs?
Answer:
Step-by-step explanation:
im not sure and what do u mean by signs
Answer:
multiplie maybe i dont know what you mean-
Step-by-step explanation:
Find the equation of the line that passes through (1,-1) and is parallel to 2x+y−3=0
Leave your answer in the form y=mx+c
Answer:
y = - 2x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + y - 3 = 0 ( subtract 2x - 3 from both sides )
y = - 2x + 3 ← in slope- intercept form
with slope m = - 2
Parallel lines have equal slopes, then
y = - 2x + c ← is the partial equation
To find c substitute (1, - 1 ) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - 2x + 1 ← equation of parallel line
Write the percent as a fraction or mixed number in simplest form. 72.5
Answer: 72 1/2 or 725/10 as mixed number
Step-by-step explanation:
Answer:
72.5/100
Step-by-step explanation: Write down the percent divided by 100, then multiply both top and bottom by 10 after the decimal point, after you multiplied you will get 752/10 then simplify which the simplest form is 145/2 you with then have an improper fraction and it will be 72 1/2
Marcy has $1600 to invest at 8% annual interest compounded monthly. how long will it take her investment to grow to $2400?
It will take about 5 years for her investment to grow to $2400.
The formula for calculating the compound amount is expressed according to the equation;
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
A is the amount after t years = $2400P is the amount invested = $1600r is the rate = 8% = 0.08t is the time in yearsn is the compounding time = 12 (monthly)Substitute the given parameters into the formula to have:
[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]
Take the natural logarithm of both sides
[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]
Hence it will take about 5 years for her investment to grow to $2400
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3. Дано: K, P, K, P, OP, = PP., КК, = 5 см. Знайти: OK.
Answer:
where are you from
can you be my friend
I'm from Australia and you
prove that: sin×sec=tan
[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]
Which expression is equivalent to 10 ( – 5 x + 3) – 2x
Step-by-step explanation:
well, we just do the multiplication and simplify by combining terms with the same base :
10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30
Hence, -52x + 30 is the evaluated expression.
Hoped this helped.
Which inequality represents this sentence?
A number is no more than 57. I NEED A ANSWER ASAP WHOEVER GIVES CORRECT ANSWER GETS BRAINLIEST
Answer:
x < 57
Step-by-step explanation:
(40 POINTS) Which linear function represents this table of values?
A. y=16x+13
B. y=23x+7
C. y=32x−3
D. y=6x−9
x: y:
3 9
9 13
12 15
Answer:
B is the answer
Step-by-step explanation:
take two of the points to plug in and test
point one, when x is 3 y is 9
y=2/3 (3) +7
y=6/3 +7
y= 2 + 7
y=9
test the next point
(9,13)
y=2/3 (9) + 7
y=18/3 +7
y= 6 +7
y=13
Plzzz plzzzzzz help meeeee
The square of the correlation coefficient gives a.An estimate of reliability b.An estimate of power c.The percentage of the variance attributed to error d.The percentage of the variance in the data that is accounted for by the independent variable.
Answer:
The coefficient of determination!
Step-by-step explanation:
It shows percentage variation in the target variable (y)y which is explained by all the predictor variables (X) together. It is always between 0 and 1. Hope this helps :)