Let the length of the room = L = 12m
width of the room = b = 8m
Height of the room = h = 4m
• Area of the four walls of the room = Perimeter of the base x Height of the room.
[tex] = 2(l + b) \times h = 2(12 + 8) \times 4[/tex]
[tex] = 2 \times 20 \times 4 = 160 {m}^{2} [/tex]
Cost of white washing per m² = ₹5Hence , the total cost of white washing four walls of the room ;-
₹ ( 160 x 5 ) = ₹ 800Area of ceiling is 12 x 8 = 96m².Cost of white washing the ceiling.
₹ (96 x 5 ) = ₹ 480.So , the total cost of white washing ;
₹ ( 800 + 480 ) = ₹ 1280 .Hope this helps you :)
#Carry on learning# :) ..
Solve the inequality 7x - 35 < 2(x – 5)
7x - 35 < 2(x -5)
Use distributive property on the right side:
7x -35 < 2x - 10
Add 35 to both sides:
7x < 2x + 25
Subtract 2x from both sides
5x < 25
Divide both sides by 5
X < 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve the inequality 7x-35<2(x-5)
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
First, use the distributive property on the right-hand side:-
7x-35<2x-10
Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.
Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.
Therefore
7x-35-2x<-10
Combine like terms:-
5x-35<-10
Now add 35 on both sides:-
5x<-10+35
On simplification,
5x<25
Divide by 5 on both sides:-
x<5
So the values of x less than 5 will satisfy this inequality.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
3. Judy took a taxi. The meter said $45. She tips the driver 15%. How much money does the the driver get in tips?
Answer:
6.75$
Step-by-step explanation:
because 15% of 45$ is 6.75$
Which, if any, of the following are solutions to the equation
y = 3x + -2?
A. (0,2),
B. (1.5)
C. (2,0)
D. (2,3)
E. (3,2)
F. (5,1)
G. None are solutions
Answer:
I think none are solutions
Dylan's cow produces 21 1/3 liters of milk per day.The milk is put into bottles with a volume of 2 1/3 liters.How many bottles does Dylan need each week to bottle all the milk?
The amount of bottles that Dylan needs each week to bottle all the milk is; 64 bottles
How to work with Algebra?
We are given;
Amount of Milk produced by Dylan's cow per day = 21 ¹/₃ liters
Thus, amount of liters of milk produced in a week = 21 ¹/₃ liters * 7 = 448/3 liters.
Then, number of bottles required in a week = 448/3 ÷ 2¹/₃ = 448/7
Number of bottles required in a week = 64 bottles
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Do these sides make a triangle ?
Yes or no
1) 7cm , 11cm , 14cm
2) 10cm , 8cm , 2cm
Answer:
yesnoStep-by-step explanation:
For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.
__
1)7 + 11 = 18 > 14 . . . . Will make a triangle.
__
2)2 + 8 = 10 . . . not greater than 10. Will not make a triangle.
__
This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...
a +b > c and b +c > a and c +a > b
_____
Additional comment
There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.
y=
\,\,x^2+4x-4
x
2
+4x−4
y=
y=
\,\,x-6
x−6
Solve y-8/3=-7 show work
Answer: y = -13
Step-by-step explanation:
Given:
[tex]\displaystyle \frac{y-8}{3} =-7[/tex]
Multiply both sides by 3:
[tex]\displaystyle y-8 = -21[/tex]
Add 8 to both sides:
[tex]\displaystyle y= -13[/tex]
Given equation,
y - 8 / 3 = -7Aim :
To find value of y.Cross multiplying them,
>> y - 8 = -7 × 3
>> y - 8 = -21
Transposing -8 from L.H.S. to R.H.S.,
>> y = -21 + 8
>> y = -13
Therefore :
Value of y is -13.if ABC intersect with Efc what would it be please help!
Answer:
image below
Step-by-step explanation:
The two tables give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye.
Green #1 is made by mixing blue and yellow in a ratio of 2 : 3.
Green #2 is made by mixing blue and yellow in a ratio of 1 : 2.
Use the drop-down menus to complete each sentence below.
In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.
What is ratio of two numbers?
The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.
There are two tables which give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye. The table is given below;
Green #1 is made by mixing blue and yellow in a ratio of 2 : 3.Green #2 is made by mixing blue and yellow in a ratio of 1 : 2.The first one has 2 parts of blue at 3 parts of yellow. In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2.
In grade two the blue part is half of the yellow part. This means that green #1 is bluer shade of green than Green # 2.
Hence, in the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.
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what is the absolute value of |4.7|
Answer:
4.7
Step-by-step explanation:
Answer:
4.7
Step-by-step explanation:
Find the surface area of the rectangular prism.
3 yd
6 yd
5 yd
Answer:
126 square yards
Step-by-step explanation:
So first you want to use this formula:
2(L×W) + 2(L×H) +2(W×H)
Then plug it in:
2(6×5) + 2(6×3) + 2(5×3)
Next you solve:
6×5 = 30×2 = 60
6×3 = 18×2 = 36
5×3 = 15×2 = 30
After this you add them all up:
60 + 36 + 30 = 126
So you answer is 126 square yards
Hope this helps :)
if a+b = -6 , a^2 + b^2 = 20 then ab =
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
By squaring the sum of two variables identity ~
[tex]\qquad \sf \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab[/tex]
Now, plug in the given values ~
[tex]\qquad \sf \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab[/tex]
[tex]\qquad \sf \dashrightarrow \:36 = 2(10 + ab)[/tex]
[tex]\qquad \sf \dashrightarrow \:10 + ab = 36 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:10 + ab = 18[/tex]
[tex]\qquad \sf \dashrightarrow \:ab = 18 - 10[/tex]
[tex]\qquad \sf \dashrightarrow \:ab = 8[/tex]
I hope it was clear through my steps ~
Answer:
8
Step-by-step explanation:
(a+b)^2 = (-6)^2
a^2 + 2ab + b^2 = 36
a^2 + b^2 = 36 - 2ab
Equating 36 - 2ab with 20
36 - 2ab = 20
2ab = 16
ab = 8
Hope this helps out, feel free to mark this answer as brainliest :)
8) The function f(t)=12(1.8) represents the number of rabbits in a forest after t years.
a) Does the function represent exponential growth or exponential decay?
b) Graph the function on a calculator. Describe the domain and range.
c) What is the yearly percent change?
d) How many rabbits are in the forest after 8 years?
Ben is making a map in which each unit of the coordinate plane represents 1 mile. He places his house at the origin. The pizza shop is 4 miles south and 2 miles east of his house. The ice rink is 3 miles north and 5 miles west of the pizza shop. The hospital is 3 miles north of the ice rink.Which map shows each location in the correct place?
Answer:
A
Step-by-step explanation:
First lets take not of the given coordinations.
He places his house at the origin: (0,0)The pizza shop is 4 miles south and 2 mile east of his house: (2,4) The ice rink is 3 miles north and 5 miles west of the pizza shop: (-5,3) The hospital is 3 miles north of the ice rink: (0,3)Based on these cordinates you can conclude the correct places on the map.
Answer:
either C or D
Step-by-step explanation:
Which statement is false?
→
+7
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-3-5
7<3
-5<-3
3<7
Answer:
I don't even have to look at it It's 17 final answer
Answer:
7 < 3 is false.
Explanation:
a) -3 > -5 is a true statement
b) 7 < 3 is a false statement
c) -5 < -3 is a true statement
d) 3 < 7 is a true statement
Which of the following is a solution to 2sin^2x+sinx-1=0?
A. 45 degrees
B. 200 degrees
C. 240 degrees
D. 270 degrees
E. 330 degrees
Answer
[tex]x = \frac{\pi }{6} + 2\pi n, \frac{5\pi }{6} + 2\pi n, \frac{3\pi }{2} + 2\pi n[/tex], for any integer n
Answer:
D or 270°
Step-by-step explanation:
2sin^2x+sinx-1
2sin^2(270°)+sin(270°)-1=0
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line, using the disk/washer method. Sketch the region, the solid, and a typical disk or washer.y = (x - 2)^2 ; y=2x-1 ; about the line y = -1
Check the picture below.
to check where the functions intersect, we can simply set them equal to each other so (x-2)² = 2x - 1, anyhow, not to bore you to death with that, it's as the picture shows it, at x = 1 and x = 5, so those are our bounds.
to get the R² part of the washer, what I do is using the "area under the curve" method of f(x) - g(x), where g(x) is the axis of rotation and f(x) is the farthest radius, so to get R² I'd process (x-2)² - (-1), that'd give me R and then I'd square that.
to get r², I do pretty much the same thing, f(x) - g(x) where g(x) is the axis of rotation and f(x) is the closest radius, in this namely (2x - 1) - (-1), and that'd give "r" and then we can square that to get r².
[tex]\begin{cases} R = 2x\\ r = x^2-4x+5 \end{cases}\hspace{5em} \begin{array}{llll} \stackrel{R^2}{4x^2}~~ - ~~\stackrel{r^2}{(x^4-8x^3+26x^2-40x+25)} \\\\\\ -x^4+8x^3-22x^2+40x-25 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \pi \int\limits_{1}^{5}(-x^4+8x^3-22x^2+40x-25)dx \\\\\\ \pi \left[ -\cfrac{x^5}{5}+2x^4-\cfrac{22x^3}{3} +20x^2-25x\right]_{1}^{5}\implies \cfrac{1408\pi }{15}[/tex]
Someone help me with this please
Answer:
the answer is c=34
Step-by-step explanation:
use the pythogoras therom since there is a right angle triangle c2=a2+b2
hope this helped:)
Answer:
34
Step-by-step explanation:
[tex]Formula: a^2+B^2=C^2[/tex]
[tex]30^2= 900 \\\\16^2= 256\\\\900+256= 1156\\\\[/tex]
[tex]c^2=1156[/tex]
to find the answer we have to figure out what times itself = 1156
30x30=900 greater than 30 35x35=1225 less than 35
please answer question below asap!
Answer:
36 students.
Step-by-step explanation:
5 + 7 = 12.
So the number of students must be a multiple of 12.
So as the number is between 25 and 43 it must be 36.
A baseball team won 55% of their games. If they played 200 games, how many did they win?
A
100
B
110
C
160
D
190
Answer:
110
Step-by-step explanation:
Number of games won = Total games × Win percentage
Number of games won = 200 x 55%Number of games won = 200 × 0.55Number of games won = 200 x 11/20Number of games won = 10 x 11Number of games won = 110find the value of cos θ if sin θ=1/2;0 degrees< θ< 90 degrees
Answer:
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
sin²Θ + cos²Θ = 1 ( subtract sin²Θ from both sides )
cos²Θ = 1 - sin²Θ ( take square root of both sides )
cosΘ = ± [tex]\sqrt{1-sin^20}[/tex]
= ± [tex]\sqrt{1-(\frac{1}{2})^2 }[/tex]
= ± [tex]\sqrt{1-\frac{1}{4} }[/tex]
= ± [tex]\sqrt{\frac{3}{4} }[/tex]
= ± [tex]\frac{\sqrt{3} }{2}[/tex]
since 0° < Θ < 90° , then
cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]
In which order should the sentences appear? 1 – 2 – 4 – 3 2 – 1 – 4 – 3 3 – 4 – 1 – 2 4 – 2 – 1 – 3
Based on the excerpt given on Paco's evaluation of Dan DeLuca's argument, the correct order is 3 - 4 - 1 - 2.
Which order for the article on Paco's evaluation is correct?3 is the best sentence to start because it introduces the direction that DeLuca is taking in his argument. 4 is next because it then says what DeLuca's claims are.
1 is the third sentence because it expands on DeLuca's arguments and then 2 is the last sentence as it contains Paco's evaluation of the argument.
Find out more on ordering sentences at https://brainly.com/question/24186239.
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Answer:
its C: 3 – 4 – 1 – 2
there are 58 total views for the month.
Bookface averaged 24.3 views more than Snapgram. Giggle averaged 14.6 less views than Bookface.
Find how many views each site got during the month.
PLEASE ASAP THIS IS DUE TODAY! Thank you!
The number of views snapgram, bookface and giggle have are 8, 32.3, 17.7 views respectively.
How to solve equationTotal views = 58let
snapgram views = xBookface views = x + 24.3Giggle views = (x + 24.3) - 14.6= x + 24.3 - 14.6
= x + 9.7
Total = snapgram + bookface + giggle
58 = x + (x + 24.3) + (x + 9.7)
58 = x + x + 24.3 + x + 9.7
58 = 3x + 33
3x = 58 - 34
3x = 24
x = 24/3
x = 8 views
Therefore,
snapgram views = x
= 8 views
Bookface views = x + 24.3
= 8 + 24.3
= 32.3 views
Giggle views = x + 9.7
= 8 + 9.7
= 17.7 views
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Find the distance between the pair of points. Give an exact answer and an approximation.
(3,4) and (5,11)
Answer: [tex]\displaystyle d=\sqrt{53}[/tex]
Step-by-step explanation:
We will use the distance formula to solve. See attached and view the work below.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(5-3)^2 +(11-4)^2}[/tex]
[tex]\displaystyle d=\sqrt{(2)^2 +(7)^2}[/tex]
[tex]\displaystyle d=\sqrt{4+49}[/tex]
[tex]\displaystyle d=\sqrt{53}[/tex]
Since 53 is prime, this is the simplest form. Since it asks for an exact answer, we are done.
A rectangular banner has a perimeter of 192 inches and a length of 60 inches.
What is the width of the banner? please answer!
width= area /length
width= 192/60
Width= 3.2 inches
Answer:
36 is the width.
Step-by-step explanation:
A rectangle has four sides.
So the equation should be:
60+60+?+?= 192.
In order to cancel out the two 60s, you subtract it from 192.
So,
?+?=72.
The sides opposite of a rectangle is congruent, thus,
72/2=36.
The width of the rectangular banner is 36, and to check the answer you just plug all the digits in.
60+60+36+36=192.
Hopefully this helped!
Order from least to greatest 7.2 7.04 7.413 7.134
Answer:
7.04, 7.134 ,7.2, 7.413
Step-by-step explanation:
A parasail rider wants to reach the maximum height allowed by the Federal Aviation Administration if the rider's boat is to tow the parachute at 30 miles per hour, how long should the tow line be to reach the maximum flying height? a. Draw and label a diagram to represent this situation. PLEASE HELP
From the information given, the towline must be completely released to enable it to get to the maximum height. This problem is a trigonometry problem because it involves a solution that looks like a right-angled triangle.
How else can the maximum height of the parasailer be identified?In order to determine the maximum height of the parasailer, the length of the rope or towline must be established.
If the length and the height are known, the angle of elevation can be determined using the SOHCAHTOA rule.
SOH - Sine is Opposite over Hypotenuse
CAH - Cosine is Adjacent Over Hypotenus; while
TOA - Tangent is Opposite over Adjacent.
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Evaluate 1/x^-2 for x= 7.
-49
49
1/49
Please help
And thx but HURRY
Answer:
49
Step-by-step explanation:
Simplify the expression such that the variable has a positive exponent.
[tex]\frac{1}{x^{-2} }[/tex]x² [negative exponent is taken to the other side]Substitute x = 7.
(7)²49Help me with this. Need to pass my finals
Answer:
90 degree counter clockwise rotation about the origin
reflect across the x-axis
Step-by-step explanation:
Solve for x. Enter the solutions from least to greatest.
(x + 7)² - 49 = 0
lesser x =
greater x =
Answer:
Lesser x = -14
Greater x = 0
Step-by-step explanation:
Given equation:
[tex]\sf (x+7)^2-49=0[/tex]
Add 49 to both sides:
[tex]\implies \sf (x+7)^2-49+49=0+49[/tex]
[tex]\implies \sf (x+7)^2=49[/tex]
Square root both sides:
[tex]\implies \sf \sqrt{(x+7)^2}=\sqrt{49}[/tex]
[tex]\implies \sf x+7=\pm7[/tex]
Solve for x:
[tex]\implies \sf x+7=7 \implies x=0[/tex]
[tex]\implies \sf x+7=-7 \implies x=-14[/tex]
As -14 < 0
Lesser x = -14Greater x = 0