the height of the box is 9 inches
Answer:
solution given:
total surface area of a box=160 square inches
let length, width, and height be l,b, and h respectively.
according to the question:
l=2b
∴b =[tex]\frac{l}{2}[/tex]
l=h-4
∴ h=l+4
we have
total surface area of a box=160 square inches
2(lb+lh+bh)=160
[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]
[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]
[tex]4l^2+12l=160[/tex]
[tex]4(l^2+3l)=160[/tex]
[tex]l^2+3l=\frac{160}{4}[/tex]
[tex]l^2+3l-40=0[/tex]
doing middle term factorization
[tex]l^2+(8-5}l-40=0[/tex]
[tex]l^2+8l-5l-40=0[/tex]
taking common from each two terms
l(l+8)-5(l+8)=0
(l+8)(l-5)=0
either
l=-8[neglected as length is always positive]
or
l=5
now
b=[tex]\frac{5}{2} =2.5[/tex]
h=5+4=9
Step-by-step explanation:
Find the sine of ∠D.
Write your answer as an integer or as a decimal rounded to the nearest hundredth.
We know
[tex]\\ \sf{:}\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{FE}{DE}[/tex]
[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{55}{73}[/tex]
The value of X is units in length.
Answer:
x=17.5 we do that 5*3.5 =17.5
A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)
What is the area of the sector ?
Answer:
8πcm² = 8pi cm²
Step-by-step explanation
The formula for area of a sector = ½r²θ
Where r = radius = 6cm
θ = central angle = 4pi/9 in radians = 4π/9
Area of the sector = 1/2 × 6² × 4π/9
Area of the sector = (144π/18)cm²
Area of the sector = 8πcm²
Therefore, Area of the sector =
8πcm² = 8pi cm²
Can you help me please ?
Answer:
A
Step-by-step explanation:rise⇵ over run ⇄
the rise is -6 the run is 3
ANSWER ASAP PLS
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
A y=-3x+1
B x = 1/2x +7
C y=-2x-8
D y = 2x + 16
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
= (2-4)/(-2+6)
= -2/4
= -1/2
now
y=mx+c
4=-1/2(-6)+c (you can take any x and y from the given two points. I took from (-6,4)
or,4= 3+c
therefore, c=1
now
y=mx+c
y= -1/2x+1
or, y = 1-x/2
Solve for the variable! 4 questions! Need to turn it in soon so ASAP!
Please show your steps! Thank you!
Answer:
Step-by-step explanation:
1/3x² + x+5/3x² = 1/9
HAHAHAHA......
Answer:
[tex]\huge \bf༆ Answer ༄[/tex]
Step-by-step explanation:
Let's solve for x ~
[tex] \sf \dfrac{1}{3} {x}^{2} + x + \dfrac{5}{3} {x}^{2} = \dfrac{1}{9} [/tex][tex] \sf \dfrac{(1 + 5)}{3} {x}^{2} + x = \dfrac{1}{9} [/tex][tex] \sf \dfrac{6}{3} {x}^{2} + x - \dfrac{1}{9} = 0[/tex][tex] \sf2 {x}^{2} + x - \dfrac{1}{9} = 0[/tex]Multiply each term with 9 on both sides of the equation
[tex] \sf(2 {x}^{2} \times 9) + (x \times9 ) - ( \dfrac{1}{9} \times 9 ) = 0 \times 9[/tex][tex] \sf18 {x}^{2} + 9x - 1 = 0[/tex]Now, let's use Quadratic formula to find its roots ~
[tex] \sf \dfrac{ - {b}^{} \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
where,
b is Coefficient of x = 9 a is Coefficient of x² = 18 c is the constant term = -1Let's find the roots ~
[tex] \sf \dfrac{ - 9 \pm \sqrt{(9 {}^{2}) - (4 \times 18 \times - 1) } }{2 \times 18} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81- ( - 72) } }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81 + 72} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{153} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm 3\sqrt{17} }{36} [/tex][tex] \sf \dfrac{3( - 3 \pm \sqrt{17} )}{36}[/tex][tex] \sf \dfrac{ - 3 \pm \sqrt{17} }{12} [/tex]Therefore the value if x are ~
[tex] \sf \dfrac{ - 3 + \sqrt{17} }{12} \: \: and \: \: \sf \dfrac{ - 3 - \sqrt{17} }{12} [/tex]I hope it helps ~
.if cant represents it no problem but just i need the answer please
Answer:
The solution is in the photo
29. Martin has some dollar notes. 20% of the notes are $10 notes, 40% of
the remainder are $5 notes and the rest are $2 notes. He has a total
of $1026. How many notes does Martin have altogether?
Answer:
225 notesStep-by-step explanation:
Let the number of notes is x.
20% of notes is:
0.2x40% of the remainder is:
40% of 0.8x, so it is 0.8x*0.4 = 0.32xRemaining notes are:
x - 0.2x - 0.32x = 0.48xTotal of the notes:
0.2x*10 + 0.32x*5 + 0.48x*2 = 10262x + 1.6x + 0.96x = 10264.56x = 1026x = 1026/4.56x = 225Here are the graphs of L(x) and R(x) what are the values of L(2) and R(2)
Using the function graph given, it is found that:
L(2) = 7.R(2) = 1.When a piece-wise function is given, that is, a function that has multiple definitions, the numeric value at x when the definition changes is given by the closed circle.
For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.To learn more about the use of graphs to analyze a function, you can take a look at https://brainly.com/question/21447009
Plz, help!!! I'll give brainliest!
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
0.5 ft = 12 × 0.5 = 6 inches 1.5 ft = 0.5 × 3 ft = 6 × 3 = 18 inchesSurface are of cuboid is : -
[tex] \sf2(lb + bh + lh)[/tex][tex]2(4 \times 6) +( 6 \times 18) + (4 \times 18)[/tex][tex] \sf2[24 + 108 + 72][/tex][tex] \sf2(204)[/tex][tex] \sf408 \: \: inches {}^{2} [/tex]A_________is a common multiple of two or more denominators
Answer:
(LCM)
Step-by-step explanation:
Least common multiple = LCM
HOPE THIS HELPS :)
I NEED HELP PLZZ, can someone help me out w/ this question plz?
Answer:
both of them are correct !
-1/1 = 0
and -1+1 = 0, and 0/-1 equals 0
Step-by-step explanation:
Through the successful study of personal finance, an individual will be better prepared to calculate financial risks able to spend available assets. faced with long-term challenges. more likely to avoid high opportunity costs.
Answer:
A. better prepared to calculate financial risks
Step-by-step explanation:
Through the successful study of personal finance, an individual will be better prepared to calculate financial risks.
What is Personal Finance?Personal finance is a broad word that encompasses money management, as well as saving for the future. Personal finance also includes some of the following:
Budgeting, Banking,Insurance, andEstate preparation etcA successful study of personal finance can help in various ways such as:
Assisting in increasing our income stream and cash flows. Keeping track of our expenses and spending habits.Tax preparation and careful budgeting guarantee that our hard-earned money is not wasted on needless purchases.Learn more about personal finance here:
https://brainly.com/question/2961383
What is the difference of the two polynomials? (7y2 6xy) â€"" (â€""2xy 3) 7y2 4xy â€"" 3 7y2 8xy â€"" 3 7y2 4xy 3 7y2 8xy 3.
Answer:
There is no difference
Step-by-step explanation:
The difference between the polynomials is 7y² + 8xy - 3
Polynomials are functions that have a degree of power greater than two.
According to the question we are to find the difference between the polynomials (7y2 + 6xy) - (-2xy + 3)
f(x, y) = (7y^2 + 6xy) - (-2xy + 3)
f(x, y) = 7y² + 6xy + 2xy - 3
f(x, y) = 7y² + 8xy - 3
Hence the difference between the polynomials is 7y² + 8xy - 3
Learn more on polynomials here: https://brainly.com/question/4142886
kevin's family left on flight 737 to new york.flight 737 traveled 1346 miles in 3 hours.what is the unit rate?
Answer:
448 2/3
Step-by-step explanation:
To find miles in 1 hour (the unit rate), divide miles by hours.
(1346 mi)/(3 h) = 448 2/3 mi/h
The unit rate is 448 2/3 miles per hour.
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Here we've been given,
Miles (m) = 1346Time (h) = 3 hours Unit rate = ?The standard formula for unit rate is given by,
[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]
The unit rate for the flight 737 is 448 2/3 miles per hour.Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines
Answer:
C) perpendicular lines
= 3 and 1/2 × 3 and 1/2
Step-by-step explanation:
please mark me as brainlest
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
Hes right 304.8 millimeters in a foot.
Jennifer competed in a race that included running and biking. She ran 134 miles and bicycled 3.6 miles. Her total time was 0.7 hour. What was her approximate average speed in miles per hour?
Answer:
not 100% but i think 196
Step-by-step explanation:
you go 134+3.6 then just divide by 0.7
Need help ASAP! Problem and directions in picture;)
What is the value of ?
[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]
Answer:
Angle U is 65°.
Hope you could get an idea from here.
Doubt clarification - use comment section.
How much does darma earn if she babysits 6 hours
Answer:
42$
Step-by-step explanation:
Since she earns 28 $ in 4 hours
Let the hour : X
4x=28
X=28/4
X=7
Since the question want 6 hours
Then she earns
6x7=42$
123.90706 written to 3 decimal places is
Answer:
123.907
Step-by-step explanation:
NEED HELP PLZ HELP ME ….
Answer:
R= -0.95
Step-by-step explanation:
HOPE THIS HELPS :)
Please answer the following question
(d+m)A=2
A= ?
Answer:
A is equal to 3
please mark me as brianleast
7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.
Answer: 49/55
7/11 x 7/15 x 3
49/165 * 3
147/165
49/55
[tex]\dfrac{7}{11} \times \dfrac{7}{15} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{3\times 5} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{5}\\\\\\=\dfrac{7\times7}{11 \times 5}\\\\\\=\dfrac{49}{55}[/tex]
what is the slop of 2x-5y=10
Answer:
2/5
Step-by-step explanation:
Subtract 2x from both sides
-5y = -2x + 10
Divide both sides by -5
y = 2/5 x -2
The slope is 2/5.
Can i get some help :
dang this looks so confuseing
Evaluate
12: (2+2)
67
4
3
111
Help me and I will give u 20 points
Answer:
it is 27/16 or 1 11/16
Step-by-step explanation:
The length of a metal rod is 9 3/4 feet. What is the length of 1/4 of the rod?
Answer:
2 [tex]\frac{5}{16}[/tex]
Step-by-step explanation:
2 [tex]\frac{5}{16}[/tex] × 4 = 9 3/4
9 3/4 × 1/4 = 2 5/16
I hope this helps!
Answer:
3 1/4 feet
Step-by-step explanation:
1/4 of 9 3/4
change 9 3/4 into an improper fraction → 39/3
1/4 x 39/3 = 39/12
convert back to a mixed number by dividing 12 into 39
which goes in three times with a remainder of 3 → 3 3/12
however, 3/12 can be simplified to equal 1/4