Answers
Answer:
52 units^2
Step-by-step explanation:
The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.
A_dresser = LW = 4(3) = 12 units^2
The area of the bed is a little more complicated, but you can get by using just areas of rectangles.
See the picture below.
Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.
The area of the square is 81 units^2.
We need to subtract the areas of the 4 triangles at the corners.
There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.
There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.
Now subtract 25 and 16 from 81 to get the area of the bed.
81 - 25 - 16 = 40
A_bed = 40 units^2
Combined area of bed and dresser:
A = 40 units^2 + 12 units^2 = 52 units^2
Answer: 52 units^2
Here's another way of finding the area of the bed:
Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:
31 + 1/2 * 18 = 31 + 9 = 40
You get 40 units^2
Related Questions
what is
m(x)=4x+15; m(x)=7
Answers
Answer:
x = -2
Step-by-step explanation:
m(x) = 4x+15; m(x) = 7
7= 4x+15
7-4x=15
-4x=15-7
-4x=8 / :(-4)
x= -2
hhhhhhhhhhhheeeeeeeeeelllllpppppppppp me
Answers
Answer:
m<b=107º
Step-by-step explanation:
180-41-32=107
D and B are congruent
find the postive value of x when y = 25
Answers
discrete or continuous function
Answers
Answer:
continuous becasue the arrows point out meaning the go on forever
Step-by-step explanation:
can anyone help me please I need the answer to this fast
Answers
Answer:
y = 4/7x - 22/7Step-by-step explanation:
Take 2 points:
(-5, -6) and (2, -2)Find the slope:
m = (- 2 + 6)/(2 + 5) = 4/7Find the y- intercept:
-6 = 4/7(-5) + b-6 = - 20/7 + bb = - 6 + 20/7b = - 22/7The line is:
y = 4/7x - 22/7
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the
cost, C, after h, hours of babysitting. How much will Nicole make after babysitting for 10
hours?
Answers
3 + 5(10) = c
3 + 50 = c
53 = c
Nicole will make $53 in 10 hours of babysitting
PLZ HELP MEEEEEE
Kaltin will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $75 and costs an additional $0.70 per mile driven. The second plan has no initial fee but costs $0.90 per mile driven. How many mlles would Kaltlin need to drive for the two plans to cost the same?
Answers
Answer:
x equals 375
Step-by-step explanation:
75+0.70x=0.90x
please help me thank you
Answers
Answer:
2.4 cm
Step-by-step explanation:
1.2/3 = 0.96/x
x = (3 *0.96) / 1.2
x = 2.4 cm
[tex] \sf \: please \: answer \: and \: do \: not \: spam[/tex]
¢αяσυѕєℓ :)
It's based on integrals....
Answers
Hello Carousel!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve the integral.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \tt \:\int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x + 1}} \: dx \\ [/tex]
First, let's take I as ⇨ [tex]\tt \:\int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x + 1}} \: dx \\ [/tex].
[tex]\tt \:I = \int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x +1}} \: dx \\\tt \: I =\int \: \frac{ x + 2 }{( {x}^{2} + 2x + 1 + x + 2) \sqrt{x + 1}} \: dx \\ \tt \:I =\int \: \frac{ x + 2 }{( ({x + 1}^{2}) + x + 2) \sqrt{x + 1}}[/tex]
Let, x + 1 = m² => dx = 2mdm.
[tex]\tt \:I =\int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 \cdot \: m} 2mdm \\ \tt \:I =\int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 \cdot \: \bcancel{ m}} 2 \bcancel{m}dm \\ \tt \: I = \: \int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 } 2dm[/tex]
Now, divide the numerator & denominator by m²....we'll get it as...
[tex]\tt \:I =2\int \: \frac{ 1 + \frac{1}{ {m}^{2} } }{ {m}^{2} + 1 + \frac{1}{ {m}^{2} } } \: dm \\\tt \: I =2\int \: \frac{ 1 + \frac{1}{ {m}^{2} } }{( {m}^{2} + \frac{1}{ {m}^{2} } - 2) + 3} \: dm \\\tt \: I =2\int \: \frac{ (1 + \frac{1}{ {m}^{2} }) \: dm }{ ({m} - \frac{1}{ m } ) ^{2} + 3} [/tex]
Now, let m - 1/m be t => (1 + 1/m²) dm = dt
[tex]\tt \:I =2\int \: \frac{ dt}{ {t}^{2} + 3 } \\ \tt \:I = 2\int \: \frac{ dt}{ {t}^{2} + ( \sqrt{3}) ^{2} }[/tex]
We know, [tex]\tt \:\int \: \frac{dx}{ {x}^{2} + a ^{2} } = \frac{1}{a} tan ^{ - 1} (\frac{x}{a} ) + c[/tex]...therefore...
[tex]\tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{t}{ \sqrt{3} } ) + c \: \rightarrow \boxed{ \tt \: eq. \: 1}[/tex]
Now, substitute the value of 't' in eq. 1..we'll get..
[tex]\tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{m - \frac{1}{m} }{ \sqrt{3} } ) + c \: \rightarrow \boxed{ \tt \: eq. \: 2}[/tex]
Now, substitute the value of 'm' in eq. 2...we'll get...
[tex] \tt \: I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{ \sqrt{x + 1} - \frac{1}{ \sqrt{x - 1} } }{ \sqrt{3} } ) + c \\ \tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{x + 1 - 1}{ \sqrt{3} \sqrt{x - 1} } ) + c \\ \boxed{\boxed{ \bf \: I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{x }{ \sqrt{3 (x - 1} )} ) + c }}[/tex]
The correct answer is Option B.__________________
The question is really long & tricky but once you get the hang of it you'll be good. Good luck!__________________
Hope it'll help you!
ℓu¢αzz ッ
Please answer the question for brainliest!
Answers
Answer:
x = 14
Step-by-step explanation:
10x-30+5x = 180
Combine like terms
* 15x-30 = 180
Add 30 from both sides
* 15x 30+-30 = 180+30
Divide 15 both sides
* 15x/15x = 210/15x
x = 14
Hope this helps :)
find 3 values of x and y that satisfy the equation y = 3x - 2
Answers
Answer:
x = 1, y = 1
x = -2, y = -8
x = 3, y = 7
Step-by-step explanation:
Which tenths is 8.275 between
Answers
Answer:
8.3
Step-by-step explanation:
Find the distance between points (1, 3) and (9, 18) on the coordinate plane.
Answers
please help me. i dont know how to do it.
Answers
Answer:
[tex]A = 48.815[/tex]
Step-by-step explanation:
[tex] \frac{a}{ \sin(A) } = \frac{b}{ \sin(B) } [/tex]
[tex] \frac{12.5}{ \sin(A) } = \frac{15.4}{ \sin(68) } [/tex]
[tex]12.5 \sin(68) = 15.4 \sin(A) [/tex]
[tex] \frac{12.5 \sin(68) }{15.4} = \frac{15.4 \sin(A) }{15.4} [/tex]
[tex] \sin(A) = \frac{12.5 \sin(68) }{15.4} [/tex]
[tex] A=\sin ^{ - 1} ( \frac{12.5 \sin(68) }{15.4} ) [/tex]
[tex]A = 48.815[/tex]
Divided: x³-2x²-x+2 by x+1. Using long division method.
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that
[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]
and
[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]
So, By using Long Division Method, we have
[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\: {x}^{2} - 3x + 2\:\:}}}\\ {\underline{\sf{x + 1}}}& {\sf{\: {x}^{3} - {2x}^{2} - x + 2 \:\:}} \\{\sf{}}& \underline{\sf{- {x}^{3} - {x}^{2} \: \: \: \: \: \: \: \: \: \: \:\:}} \\ {{\sf{}}}& {\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: - 3{x}^{2} - x +2 \: \: \: \: \: \: \: \:\:}} \\{\sf{}}& \underline{\sf{\:\: \: \: \: \: \: \: \: \: \: \: 3{x}^{2} + 3x \: \: \: \: \: \: \:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \: \: \: \: \: \: \: \: \: \: \: \: 2x + 2 \:\:}} \\{\sf{}}& \underline{\sf{\: \: \: \: \: \: \: \: \: \: \: \: - 2x - 2\:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: 0\:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]
So,
[tex]\bf\implies \:Remainder = 0[/tex]
Verification
[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]
[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]
[tex] \purple{\rm :\longmapsto\:Remainder = 0}[/tex]
[tex] \purple{\rm :\longmapsto\:Quotient = {x}^{2} - 3x + 2}[/tex]
Now, Consider
[tex]\rm :\longmapsto\:Divisor \times Quotient + Remainder[/tex]
[tex]\rm \: = \: (x + 1)( {x}^{2} - 3x + 2) + 0[/tex]
[tex]\rm \: = \: {x}^{3} - {3x}^{2} + 2x + {x}^{2} - 3x + 2[/tex]
[tex]\rm \: = \: {x}^{3} - {2x}^{2} - x + 2[/tex]
[tex]\rm \: = \: Dividend[/tex]
Hence, Verified
CARRY ON LEARNING
CAN YOU BRAINLEST ME PLEASE
14/25, 29/50, 53/100, 13/20, 3/5. Convert them into decimals
Answers
Answer:
14/25=0.56
29/50=0.58
53/100=0.53
13/20=0.65
3/5=0.60
14 A formula for determining the finite sum, S, of an arithmetic sequence of numbers is
S=n/2(a+b)
where n is the number of terms, a is the first term, and b is the last term.
Express b in terms of a, S, and n.
Answers
Answer:
b = 2S/n - a.
Step-by-step explanation:
S=n/2(a + b)
a + b = S / n/2
a + b = 2S/n
b = 2S/n - a.
If the formula for determining the sum of the given arithmetic sequence is S = n/2(a + b), then 'b' can be expressed as b = [(2S/n) - a].
What is an arithmetic sequence ?An arithmetic sequence is a sequence where the difference between any to consecutive terms are always equal.
Here, a and b are the first and the last terms respectively and n is the number of terms.
Therefore, the sum of the arithmetic sequence is:
S = n/2(a + b)
⇒ 2S/n = (a + b)
⇒ b = (2S/n) - a
Learn more about an arithmetic sequence here: https://brainly.com/question/25715593
#Tag #SPJ2
For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°
will give brailist to correct answer and if you show the work
Answers
The sum of the measure of angle of a triangle = 180° .
Given two angles = 92° and 72°
_________________________92° + 72° = 164°
180° - 164° = 16° (Ans)
Answer:
the answer is 16!
Convert a mark of 72 out of 120 to a mark out of 300
Answers
Answer:
180 out of 300
Step-by-step explanation:
Basically,
300÷120=2.5
Thereof,
72×2.5=180.
Hope this helps!
tag brainliest please...
i need help please with this
Answers
Answer:
Thus, width is 6 and length is 25.
Step-by-step explanation:
Let us assume the width is x, then, the length is (4x+1).
Therefore, 2x + 2(4x+1) = 62
Or, 2x + 8x + 2 =62
Or, 10x = 60
Or, x = 6
Answer:
27 units.
Step-by-step explanation:
The perimeter is equal to 2 x length + 2 x width.
If the width is 4 then:
62 = 2 x length + 2 x 4
62 = 2 x length + 8
Then, we can subtract 8 from both sides.
54 = 2 x length
Next, divide both sides by 2
27 = length
so,
The length is 27 units.
PLEASE HELP ASAP MY HANDS E GETTING TIRED AND I NEED TO SLEEP e>e
Answers
Answer:
[tex] \sf k = 1 \\\\ \sf y = x [/tex]
Step-by-step explanation:
A graph between the amount of time that backpacker hikes to the distance travelled is given .
We need to find the constant of proportionality and the equation of the relationship .According to the Question ,
[tex]\sf \implies y \propto x \\\\\sf \implies y = kx [/tex]
Where k is a constant . Now from the graph , when y is 5 x is also 5 . On substituting the numbers ,[tex]\sf\implies 5 = k(5) \\\\\sf \implies k =\dfrac{5}{5}\\\\\sf \implies \boxed{\frak{\pink{ k = 1 }}}[/tex]
Again the constant of proportionality is the slope of the line.
Here the slope of the line is 1 and its y intercept is 0 . On using slope intercept form ,[tex]\sf\implies y = mx + c \\\\\sf \implies y = 1(x) + 0 \\\\\sf \implies \boxed{\pink{\frak{ y = x }}}[/tex]
Option is
AA
SAS
Not enough information to prove similarity
SSS
Answers
Answer:
AA as the angles are similar the sides are not similar so AA is the answer
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
Hey there, first let's find the slope.
M=y2-y1/x2-x1.
M=7-3/2-1 which is 4/1.
So your slope is 4
So now we have y=4x+b.
Now we need our Y-intercept (B). which is -1
So your answer is Y=4x-1
42 divided by (-7) =
Answers
the answer is -6.
the negative 7 turns the answer negative.
[tex]\sf 3x+44=50[/tex]
Answers
Answer:
2
Step-by-step explanation:
1) Subtract 44 from both sides of the equation
3x + 44 - 44 = 50 - 44
2) Simplify
a. Subtract the numbers
3x = 50 - 44
b. Subtract the numbers
3x = 6
3) Divide both sides of the equation by the same term
3x/3 = 6/3
4) Simplify
a. Cancel terms that are in both the numerator and denominator
x = 6/3
b. Divide the numbers
x = 2
-44 -44
3x=6
Decide both sides by 3 and you’ll get x= 2
what is the answer?
8^-3
Answers
Answer:
-72
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]a^{-m}=\dfrac{1}{a^{m}}\\\\8^{-3}=\dfrac{1}{8^{3}}=\dfrac{1}{8*8*8}=\dfrac{1}{512}[/tex]
help me please i need an equation and solution
Answers
Answer:
3x - 2 = 4
x = 2
Step-by-step explanation:
3x - 2 = 4 ---> plus 2 on both sides
3x = 6 --> divide by 3 on both sides
x = 2
8 and 10 in independent practice please
Answers
Answer:
8.) Rational
10.) Irrational
Step-by-step explanation:
8.) This is rational because although it is a decimal, it is terminating, meaning it has an end.
10.) This is irrational because it is a repeating decimal with seemingly no pattern.
help please, please anybody
Answers
Answer:
the answer is the third one 3
help fast pleaseee
NO RANDOMS
Answers
a. -80
b. -60
c. 98
d. -54
Answer:
a)-30
b)-60
c)98
d)-54
Step-by-step explanation:
320/-4
-180/3
-14X-7
6X-9