The area of the floor in the scale drawing will be 56 inches².
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The rectangular floor of a classroom is 28 feet in length and 32 feet in width.
And, A scale drawing of the floor has a length of 7 inches.
Now,
Since, A scale drawing of the floor has a length of 7 inches.
Hence, By definition of proportion we get;
Let the width of scale drawing = x
So, We get;
⇒ 28 / 32 = 7 / x
⇒ x = 7 × 32 / 28
⇒ x = 8
Thus, The width of a scale drawing = 8 inches
So, The area of the floor in the scale drawing = Length × Width
= 7 × 8
= 56 inches²
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MUST HELP!!!! (50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
Figure A’B’C’ is an __________________________of figure ABC.
*fill in the blank*
Answer:
similar shape!!!!
Step-by-step explanation:
Answer:
Dialation
Step-by-step explanation:
Dilation is an increase in size, but does not change the shape
Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)
29. Write an equation of the line that passes through (1, -3) and has slope 2.
Welp plz
Answer:
y = 2x - 5
Step-by-step explanation:
use the formula y - y1 = m (x - x1)
David drove 135 miles in 3 hours
Answer: 45 miles per hour
Step-by-step explanation:
Answer: if you are trying to find the hourly rate it's 45/hr. If your looking for minute rate it's .75/min. If you are looking for seconds rate it's .0125/sec
Step-by-step explanation: divide 135 by 3 for hourly rate. Divide 45 by 60 for minute rate. Divide .75 by 60 to to get seconds rate.
1)15% of what number is 6?
Answer:
40
Step-by-step explanation:
Answer:
40
to solve this question
let the unknown number be x
Then,. x * 15% = 6
x * 15/100 = 6
x = 6*100/15
c = 40
hope it helps
Which type of sequence is shown?
-2,0, 2, 4, 6, ...
Answer:
+2 or adding 2 each step
So it is a linear function
Step-by-step explanation:
-2 + 2 = 0
0 + 2 = 4
4 + 2 = 6
So forth..
Answer:
Arithmetic sequence.
Step-by-step explanation:
what is the reciprocal of 7/12
Answer:
12/7
Step-by-step explanation:
A small college has 800 students
Answer:
ok
Step-by-step explanation:
i need help asap!!!!
Answer:
760 inches squared
Step-by-step explanation:
surface area -
4(14 x 10) + 2( 10 x 10) = 560+200=760
please answer this it is 25 points
Answer:
18 stamps
Step-by-step explanation:
3/5(30) = 90/5 = 18
Answer:
18 stampsStep-by-step explanation:
The chart tells you Zack has 30 stamps in total.
3/5 are animal stamps.
So you do
30 x 3/5 = 90 / 5 = 18
OR
30 / 5 x 3 = 6 x 3 = 18
Hope that helps!
micheal brought 12 used books at th book sale. he paid $42.60 for the books. if each book cost the same price, how much did one book cost
Answer:
Each book cost $3.55
Step-by-step explanation:
Find the value of X.
Answer:
ummmmm if im not wrong 34
Step-by-step explanation:
PLEASE HELP THIS IS DUE SOON
A girl scout troupe baked a batch of cookies to sell at the annual bake sale. 1 point They made between 100 and 150 cookies. One fourth of the cookies were lemon crunch, and one fifth of the cookies were chocolate macadamia nut. What is the largest number of cookies the troop could have baked?
Answer:
150 cookies
Step-by-step explanation:
The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.
Hope this helps!
Find the area of the shaded figure below
Answer:
I think 40 units
Step-by-step explanation:
hope you have a wonderful day
Milly has a equal number of 20p coins and 50p coins . The value of her 20p coins is £2.80 . Work out the total value of her 20p and 50p coins
Answer:
£9.80
Step-by-step explanation:
The computation of the total value is shown below:
Given that
The value of 20p coins is £2.80
So the value of 50p would be
= £2.80 × 50 ÷ 20
= £7
Now the total value is
= £2.80 + £7
= £9.80
pls help will mark brainliest
Answer:
80in²
Step-by-step explanation:
Hey There!
So the first step of this problem is to find the width of the scale drawing
To do so we need to find the scale factor
To find the scale factor we divide the length of the room by the length of the scale factor
32/8=4
so the scale factor is 4
now to find the width
40/4=10
so the width of the scale drawing is 10 in
now we can find the area given the length and the width
10x8=80in²
so we can conclude that the area of the scale drawing is 80in²
What do you learn about Salesperson age after performing each of the correlation and regression analyses in the prior questions? Although a correlation by itself may not tell you the whole story, it's at least enough to establish causality A correlation analysis is usually enough to tell you what you need to know Even if a correlation is substantial, you don't know for sure until you measure it in a regression model with several other relevant variables If the correlation is negative, the relationship is not likely to be significant
Answer:
The Salesperson age after performing each of the correlation and regression analyses in the prior questions shows that:
Even if a correlation is substantial, you don't know for sure until you measure it in a regression model with several other relevant variables.
Step-by-step explanation:
The simple difference between correlation and causation is that a correlation measures the linear relationship between two variables, while causation is a statistical measure that establishes that one event or variable is the cause of another event or variable. With correlation established, one needs to study the strength of the relationship through a regression analysis before concluding on how one variable affects another variable.
A company has two manufacturing plants with daily production levels of 5x + 17 items and 3x - 4 items, respectively. The first plant produces how many more items daily than the second plant? The first plant produces more items daily than the second plant. (Simplify your answer.)
Answer:
2x + 21
Step-by-step explanation:
Given :
Plant 1 : production level) 5x + 17
Plant 2 : production level = 3x - 4
To how much more plant 1 produces than plant 2 ; subtract production of plant 2 from plant 1
(5x + 17) - (3x - 4)
Open the bracket
5x + 17 - 3x + 4
5x - 3x + 17 + 4
2x + 21
Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite? Round to the nearest tenths if necessary.
Answer:
Approximately [tex]5.7[/tex] inches
Step-by-step explanation:
The crossbar and two given lengths form a right triangle. We know this because we see a right angle marked on the diagram in between the two given sides.
In this case, we have a right triangle with legs of [tex]4[/tex] and [tex]4[/tex], and we need to find the hypotenuse. By the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse), we get:
[tex]4^{2} +4^{2} =c^{2}[/tex]
[tex]16+16=c^{2}[/tex] (Evaluate exponents)
[tex]32=c^{2}[/tex] (Combine like terms)
[tex]\sqrt{32}=\sqrt{c^{2}}[/tex] (Take the square root of both sides of the equation to get rid of [tex]c[/tex]'s exponent)
[tex]c=4\sqrt{2} ,c=-4\sqrt{2}[/tex]
The latter solution is an extraneous solution because the side lengths of a triangle cannot be negative. Therefore, the answer is [tex]4\sqrt{2} \approx 5.7[/tex] inches. Hope this helps!
Mindy wants to cover a rectangular section of her back yard with gravel. The length of the section is 7 meters and the width of the section is 6.5 meters. A garden in the rectangular section of her back yard with an area of 25 square meters will not be covered with gravel. How much area will Mindy need to consider when purchasing the gravel?
Answer:
20.5 m^2
Step-by-step explanation:
entire back yard area = 7 x 6.5 = 45.5 m^2
45.5 - 25 = 20.5 m^2
Candice buys 2/8 of a container of roasted peanuts. Alan buys 2/3 of a container. Both containers are the same size. Candice says 2/8 is between 1/2 and 1, so she buys more peanuts than Alan. Is Candice correct? Explain.
Since my name is in this question, I'll answer it :)
Answer:
Yes, she's right.
Step-by-step explanation:
2/8 is simplified to 1/4. Between 1 and 1/2, it is 1/4. So yes, I (Candice) was right. :)
Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to come will be 117 years. How old is Charity today?
Answer: Charity is 36 years old today.
Step-by-step explanation:
Let x = Present age of daughter.
Age of Charity = 4x
Age of her husband = 4x+6
After 10 years,
Age of daughter = x+10
Age of Charity = 4x+10
Age of her husband = 4x+6+10=4x+16
As per given,
[tex]x+10+4x+10+4x+16=117[/tex]
[tex]9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9[/tex]
Present age of Charity = 4(9)=36 years
Hence, Charity is 36 years old today.
Cuantos megametros hay en ocho millones de metros ?
Answer:
1 megámetro = 1000000 metros
Step-by-step explanation:
a laptop is in the shape of a rectangular prism the laptop has a length of 30 cm and a width of 20 cm in a volume of 1800 cubic centmeters what is the height of the laptop?
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Answer:
3 cm
Step-by-step explanation
1800 /30·20=3cm
PLS ANSWER!!!
A car purchased for $18,000 depreciates annually at a rate of 5%.
What will be the approximate value of the car in the 10th year?
Answer:
I answered already but, here:
Step-by-step explanation:
$18,000 x 5% = 900 x 10 years = $9000
Which polynomial is in standard from
I'm sorry Wrong Send!!!
Iba sana sasagutin ko Na pindut ko lang naman BTW Sorry
I WILL GIVE SO MANY POINTS PLS HELP
Charlotte walks home from school every day at a rate of
4 miles per hour. It takes her 30-minutes to reach
home. Her brother, Noah, runs home from the same
school every day at a rate of 6 miles per hour. How
many fewer minutes does it take Noah than Charlotte
to reach home from school each day? Be sure to
SHOW your WORK!
i might be wrong but you have to do proportions, i got 45 minute
Step-by-step explanation:
set it,it up by 30 minutes over 4 miles and x over 6 miles then you multiply by 6 and 30 which is 180 then divide by 4 and i got 45
Answer:
10 fewer minutesStep-by-step explanation:
Use formula
distance = time* speedThe distance between home and school:
4* 30 min = 4 * 0.5 hr = 2 milesNoah's time to reach home:
2 / 6 = 1/3 hr = 1/3*60 min = 20 minDifference in time:
30 min - 20 min = 10 minmultiply 2.345 x 0.023
show your work please
Answer:
2.345×0.023
2.345..........3 decimal point
0.023........3 decimal point
2345
× 23 1. first we change it whole number for multiply.
···················· 2.count the decimal point.here 6 decimal points are there.
+ 7 0 3 5 3.we got the answer 53935.here only 5 digits are there.
4 6 9 0 0 4.now we add one zero backside 053935
····························5 . final answer is 0.053935
5 3 9 3 5
···························
answer is =0.053935
Step-by-step explanation:
What is the greatest common factor of 138 and 345?
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
Prove the identity
secx-1/ tan x= tanx/ secx+1
To verify the identity, start with the left side and transform it to obtain the right side. Choose the correct step and transform the expression according to the step chosen.
secx-1/ tan x= sec-1 / tanx
Answer:
Proved
Step-by-step explanation:
The options are not given. So, I will solve from scratch
Given
[tex]\frac{secx-1}{tan x}= \frac{tanx}{secx+1}[/tex]
Required
Prove
Multiply the right-hand side by [tex]\frac{secx + 1}{secx + 1}[/tex]
[tex]\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}[/tex]
Apply difference of two squares on the numerator
[tex]\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
In trigonometry:
[tex]tan^2x = sec^2x - 1[/tex]
So, we have:
[tex]\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
[tex]\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
tan x cancels out
[tex]\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}[/tex]
Proved