Answer:
10
Step-by-step explanation:
The required value of s to minimize the surface area of the prism is given as 10.
What is a triangular prism?A triangular prism has 2 triangles as their top and bottom and three other faces as rectangles. The volume of the prism is given as the product of its height and base area.
The given problem can be solved as follows,
The expression for the volume of the prism is given as,
V = √3/4 × s²h
Substitute V = 250 to obtain,
250 = √3/4 × s²h
⇒ s²h = 1000/√3 (1)
And, the expression for the surface area is given by,
A = 3 × sh + √3/4s²
Substitute h = 1000/(√3s²) in the above equation to obtain,
A = 1000√3/s + √3/4s²
In order to get the minimum area differentiate A with respect to s and equate it to zero to get,
dA/ds = 0
⇒ √3/2s - 500√3/s² = 0
⇒ s = 10
Hence, in order to minimize the area the the value of s is obtained as 10.
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.........i think it’s 56 i’m not sure though
it is 56
because you need to break the figure into two parts
5 x 4 = 20
4 x 9 = 36
Solve for a.
√a-r +m=y
Answer:
is a mathematics problem and is so easy and square and triangle and rectangle and circle formulas
Step-by-step explanation:
√(a - r) + m = y
√(a - r) = y - m
(a - r) = (y - m)²
a = (y - m)² + r
a = y² - 2my + m² + r.
The answer is the 2nd option.
What is the postulate or theorem allows you to state that triangle DEF ~ Triangle GHJ
Answer:
AAA postulate
Step-by-step explanation:
because similar triangle only have the axiom of angle not side...i mean i guesss if im wrong sorry but still thanks for the points
Answer:
sas
Step-by-step explanation:
the answer is just sas i took the assignment
Dr. Bethea has 11 pieces of fruit to give out to his 3 children. He wants to give each child the same number of pieces of fruit. How many pieces of fruit will be left over after he gives them out?
Answer:
2
Step-by-step explanation:
Since in this case they aren't going to cut up the fruit, you find how many times 3 will go into 11 evenly. 3x3=9 which is the largest multiple of 3 that will fit into 11. 11 pieces subtract 9 pieces given to children = 2 pieces left. Hopefully this helps.
Please help a brother out
Answer:
m<b=44
Step-by-step explanation:
180-90-46=44
All triangle angles add up to be 180
Answer:
MY MAN
B is 44 degrees INTERIOR
READ EXPLANATION
Step-by-step explanation:
the way the picture is show is pretty confusing, I don’t know if it’s asking for the exterior angle or interior angle. If interior it’s 44 but it could be exterior. But I’m pretty sure its interior
Find the missing angle B
Answer:
The missing angle B:
m∠B = 25⁰Step-by-step explanation:
Given the angles
A = 100⁰
C = 55⁰
B = ?
We know that the sum of the angles of triangles is 180⁰.
so
A + B + C = 180⁰
100⁰ + B + 55⁰ = 180⁰
B = 180⁰ - 55⁰ - 100⁰
B = 25⁰
Therefore, the missing angle B:
m∠B = 25⁰
Modular arithmetic
Pls a little explaine it
Step-by-step explanation:
(72)¹⁴³ ≡ x (mod 7)
Since 72 ≡ 2 (mod 7),
72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).
Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)
≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).
The answer is A.
Violet owns a food truck that sells tacos and burritos. She only has enough supplies to make 120 tacos or burritos. She sells each taco for $3.25 and each burrito for $7.50. Violet must sell no less than $570 worth of tacos and burritos each day. Also, she must sell a minimum of 30 tacos. If x represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer: y>~ 570-3.25x/ 7.50
y>~ -13/30x
x>~30
Step-by-step explanation:
The solution to the inequality in the graph has been shown.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
According to the question,
x + y ≤ 120
x = 120 - y,
x ≥ 30
Or
3.25x+ 7.50 ≥570
Thus, the solution to the inequality in the graph has been shown.
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0.5y-2 2/5=1/2y+2.4
solve for y
Since the sides are different hence the value of y has no solution
Expressions and equationsGiven the equation 0.5y-2 2/5=1/2y+2.4
This can be further expressed as:
0.5y- 2.4= 0.5y + 2.4Collect the like terms
0.5y - 0.5 y = 2.4 + 2.4
0y = 4.8
Since the sides are different hence the value of y has no solution
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Pls help I’ll brainlest grades close today
Answer:
12.5%
Step-by-step explanation:
[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100
[50 - 30] ÷ [ 50 + 30] ÷ 2 × 100
20 ÷ 80 ÷ 2 × 100
0.25 ÷ 2 × 100
0.125 × 100
12.5 %
Answer:
12.5%
!!!!!!!!
Find x, and then any unknown angles in the quadrilateral.
x= ?
Answer:
x=65
other angle= 165
Step-by-step explanation:
quadrilaterals always have a total of 360 degrees
because of this you can set up an equation and solve
360=90+40+x+(4x-95)
360=130+5x-95
360=35+5x
325=5x
65=x
plug this in to find missing angle
4(65)-95=165
WILL GIVE BRAINLIEST!!!!
Which fraction is equivalent to -3/7?
3/-7
-3/-7
-7/3
7/3
Roasting competition! Whoever uses the best roast gets an awesome prize and u can roast in the comments too!
Answer:
I got u covered and i will still roast u in the comments imma good roaster to!
Step-by-step explanation:
You’re the reason God created the middle finger.
You’re a grey sprinkle on a rainbow cupcake.
If your brain was dynamite, there wouldn’t be enough to blow your hat off.
You are more disappointing than an unsalted pretzel.
Light travels faster than sound which is why you seemed bright until you spoke.
You r is so annoying, you make your Happy Meal cry.
You have so many gaps in your teeth it looks like your tongue is in jail.
Your secrets are always safe with me. I never even listen when you tell me them.
I’ll never forget the first time we met. But I’ll keep trying.
Answer: Your so fat you can’t even stand up, if you tried you’d burst like a ballon!
Step-by-step explanation:lol
Write an equation, the points are (-7,2) and (-3,0)
There are 4 new seats in each row in a school auditorium. There are 12 rows in the auditorium. Each new seat cost $58. What is the cost of the new seats?
Answer:
$232
Step-by-step explanation:
r=1/6 t +4 make t the subject
Answer:
t = 6 r -24
Step-by-step explanation:
Given that the function
[tex]r = \frac{1}{6} t + 4[/tex]
⇒ [tex]\frac{1}{6} t = r-4[/tex]
⇒ t = 6 ( r-4)
⇒ t = 6 r - 24
find the coordinates of the foot of the perpendicular from (6,8) the line through(1,5) and (9,3)
Answer:
plz follow and thanks me
Step-by-step explanation:
Let (a,b) be the coordinates of the foot of the perpendicular from the point (−1,3) to the line 3x−4y−16=0
Slope of the line joining (−1,3) and (a,b), is m
1
=
a+1
b−3
Slope of the line 3x−4y−16=0 or y=
4
3
x−4,m
2
=
4
3
Since these two lines are perpendicular,m
1
m
2
=−1
∴{
a+1
b−3
}⋅{
4
3
}=−1
⇒
4a+4
3b−9
=−1
⇒3b−9=4a−4
⇒4a+3b=5...(1)
Point(a,b) lies on line 3x−4y=16
∴3a−4b=16....(2)
On solving equation (1) and (2) we obtain
a=
25
68
and b=−
25
49
Thus, the required coordinates of the foot of the perpendicular are {
25
68
,
25
49
}
12÷390=
whats the remainder?
Answer: 2/65
Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.
need help on 2,3,4 please help me please
Answer:
2)
3)
4)
Step-by-step explanation:
what is a corresponding side in any shape
Answer:
a corresponding side is a pair of matching sides that are in the same spot of two different shapes. The shapes must be either congruent or similar.
Step-by-step explanation:
Solve for p in 7.7/3.6 = 2.3/p
Answer:
1.07532467532 etc.
Step-by-step explanation:
cross multiply
7.7p=3.6(2.3)
7.7p=8.28
3) What is 95% of 800?
Answer:
760
Step-by-step explanation:
Answer:
760
Step-by-step explanation:
I checked using a calculator
When a force of 30 N acts on a certain object the acceleration of the object is 5 m/s^2 if the acceleration becomes is 8m/s ^2 what is the force
Answer:
48 N
Step-by-step explanation:
The equation for force is
F = m * a
where F is force, m is mass, and a is acceleration
30N = m * 5m/s²
m = 6 kg
F = 6kg * 8m/s² = 48 N
Please can someone help me!!!?
Answer:
inertia
equilibrium
free body diagram
net force
force
Step-by-step explanation:
Find the slope of the line
HELP PLEASE
which of the following is equivalent to 4x^2+6x/4x+2
Answer:
[tex]4x^2+\dfrac{7}{2}[/tex]
Step-by-step explanation:
The given expression is :
[tex]4x^2+\dfrac{6x}{4x}+2[/tex]
We need to find the equivalent expression for the above.
As, 6x/4x = 3/2
[tex]4x^2+\dfrac{6x}{4x}+2=4x^2+\dfrac{3}{2}+2\\\\=4x^2+\dfrac{7}{2}[/tex]
Hence, the equivalent expression is [tex]4x^2+\dfrac{7}{2}[/tex].
Simplify by combining like terms.
11y+ 7y 3y² – 4y²
Answer:
[tex]21y^{3} - 4y^{2} + 11y[/tex]
Step-by-step explanation:
[tex]11y + 7y(3)y^{2} - 4y^{2}[/tex]
=11y + 21y^3 +-4y^2
[tex]=21y^{3}-4y^{2}+11y[/tex]
what is 2/3 - 8/15 ?
Answer:
2/15
Step-by-step explanation:
2/3 - 8/15
Get a common denominator
2/3 *5/5 = 10/15
10/15 - 8/15
2/15
Graph $y=5x-2$y=5x−2 . LineMove UndoRedoReset
y = 5x - 2
graph:
(attached)
please solve
[tex] \frac{7 + 2x}{3} = 5[/tex]
Answer:
x=-3
Step-by-step explanation:
We move all terms to the left:
7+2x/3-(5)=0
We add all the numbers together, and all the variables
2x/3+2=0
We multiply all the terms by the denominator
2x+2*3=0
We add all the numbers together, and all the variables
2x+6=0
We move all terms containing x to the left, all other terms to the right
2x=-6
x=-6/2
x=-3