Answer:
8586.7cm^3
Step-by-step explanation:
We can denote the side of the base square as "x" in cm
We can also denote the height as "y" in cm
(x^2 * y) = V(x,y)
The surface area can be written as
(x^2 + 4xy = 2000)
We can make "y" as subject of the formula
4xy = 2000 - x^2
y=( 2000 - x^2)/ 4x----------eqn(*)
Substitute "y" into V(x,y)
(x*y)= x^2 * (2000-x^2)/4x = V(x)
We can divide the numerator by the denominator
y= x^2 (500/x - x/4)----------eqn#)
We can take the derivatives
V'(x)= 500 - 3/4x^2
If we set V'(x)=0 we have
500=3/4x^2
2000=3x^2
x^2=666.7
x=√666.7
x=25.8cm
From eqn(*)
y=( 2000 - x^2)/ 4x
y=(2000 - 25.8^2)/(4×25.8)
y=12.9cm
(x^2 * y) = V(x,y)
25.8^2 × 12.9
V(x,y)= 8586.7cm^3
Hence find the largest possible volume of the box is 8586.7cm^3
I need help please. This is due in 40 minutes:(
Given the diagram below, solve for x and y.
Answer:
x=14, y=37
Step-by-step explanation:
We know that (4y-10)° and 3x° are supplementary angles, meaning the total sum of the angles add up to 180°. (4y-10)° is also corresponding to the blank angle below (9x+12)°, making it a vertical angle. Since (4y-10)°=(9x+12)° because they are vertical angles, then that means we can solve for x:
Original Equation: (4y-10)°+3x°=180
New Equation: (9x+12)°+3x°=180
9x+12+3x=180
12x+12=180
12x=168
x=14
So x is 14
Because x=14, then y is:
4y-10+3(14)=180
4y-10+42=180
4y+32=180
4y=148
y=37
So y is 37
r(x)=x^2-5x-13, s(x)=-3x+5. find r(s(-1)
How far up a wall will a 13-meter ladder reach, if the foot of the ladder is 6 meters away from the base of the wall?
A. 12 m
B. 4 m
C. 133 m
D. 245 m
Answer: C
Step-by-step explanation: I took the test!!
The required distance that the ladder foot away from the base of the wall is √133 meters. Option C is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Let the base length be x,
According to the question, a 13-meter ladder reach, the foot of the ladder is 6 meters.
So, applying the Pythagoras theorem,
13² = 6² + x²
x = √169 - 36
x = √133
Thus, the required distance that the ladder foot away from the base of the wall is √133 meters.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
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Which of the following represents the measures of all angles coterminal with a -220° angle?
O 360 + 140n, for any whole number n
O 360 + 140n, for any integer n
O 140 + 360n, for any whole number n
O 140 + 360n, for any integer n
The measurement of all angles co-terminal with a -220° angle is represented by 140+ 360 n, for any integer number n.
What are Co-terminal angles?These are the angles which shares the same initial line or terminal side. They are obtained by adding or subtracting 360° from the given angles.
Given, angle is -220° then its one positive co-terminal angle= -220°+360 = 140°
So, 140° is a positive co-terminal angle of -220°.
Therefore, co-terminal angle must be the type of 140°+360° n,
Learn more about Co-terminal angles.
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9) Eva can knit of a scarf in an hour. Her sister takes 3/4 of the time she takes. How long will her sister take to knit 8 similar scarves?
Answer:
it would take 360 minutes or 6 hours
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
3/4 of an hour is 45 mins, 45 minutes times 8= 360
Convert to hours and you get 6 hours.
Mark me brainiest
The average combined SAT score for students at Brookstone High was 1000 in 2003, 1100 in 2004, 1210 in 2005, and 1331 in 2006. Predict the SAT score for Brookstone seniors in 2007. Explain your answer.
find a number such that five more than one half the number is three times the number
Answer:
0.5
Step-by-step explanation:
THE CORRECT ANSWER IS 12 FAVORS!!
Answer:
yes the answer in 12 fpavers
Step-by-step explanation:
wa
mary will spin the spinner below 150 times. about how many times should mary expect the spinner to land on a number greater than 5
Answer:
where is the spinner at least attact an attachment so i can see the spinner and how the odds of likely it can turn out
Step-by-step explanation:
What is 21 1/4% expressed as a fraction?
a) 13/200
b) 17/80
c) 21/80
d) 17/40
Answer:
B. 17/80
Step-by-step explanation:
The decimal form is 0.2125.
To make sure if 17/80 is 21.25 percent divide 17÷80=0.2125=21.15 percent
Find the measure of angle A.
3)
74
16x + 1
19x
A
A) 82°
C) 57°
B) 69°
D) 49°
Answer:
I think its 69* but I be wrong so good luck
Step-by-step explanation:
Derek has 6 feet of ribbon that he needs to cut into 2/3 feet pieces. How
many pieces of ribbon can Derek cut?
Answer:
The correct answer is 9 pieces of ribbon.
Step-by-step explanation:
9 is correct because if you do 6 divided by 2/3 you equal 9, therefore 9 is the correct answer
HAVE A GOOD DAY!
Help please! This has to do with the Pythagorean theorem.
Answer:
x = 11.49
Step-by-step explanation:
Apply the pythagorean theorem to find x
Thus:
a² + b² = c²
Where,
a = x = ???
b = 8
c = 14 (hypotenuse)
Plug in the values
x² + 8² = 14²
x² + 64 = 196
x² = 196 - 64 (subtraction property of equality)
x² = 132
x = √132
x = 11.49 (approximated to nearest hundredth)
HELPP ASAP
The ratio of boys to girls in the sixth grade is 3:4. If there are 48 girls, what is the total number of sixth graders?
36
55
60
84
Set up two ratios: 3:4 and x:48. The ratio always stays the same, so the value that you increased the girls by will be equal with the boys. To get from 4 to 48, you need to multiply by 12. So, to get a proportional number of boys, multiply 3 x 12.
The ratio of boys to girls is 36:48. The question is asking how man total, so add. 36 + 48 = 84.
There are 84 total sixth graders.
Answer:
Step-by-step explanation:
I believe it is 84
#11 PLEASE HELP!!! URGENT!! NEED ASAP!!!
Answer:
See bolded answers
Step-by-step explanation:
Since 1=100%, then 1.15=115%, meaning x increased by 15% is correct
Since 1=100%, then 0.15=15%, meaning 15% of x is correct
Since 1=100%, then 0.85=85%, meaning x decreased by 15% is correct
What is the slope of the line?
Answer:
c. 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -1)
Point (3, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{0+1}{3-0}[/tex]Add/Subtract: [tex]m=\frac{1}{3}[/tex]The sum of two integers is 9 their difference is 5 what are the 2 integers
Which equation can be used to solve for x in the following diagram?
(6z- 15)°
Choose 1 answer.
z= (6z-15)
O z-(6z-15) = 90
O z+(6z- 15) = 90
4 of 7
Answer:
I'm answering this for points
can someone help me with this geometry problem?
=========================================================
Explanation:
The exterior angle is 137, so the interior angle adjacent to that is 180-137 = 43. This is interior angle U of triangle UVW.
Let's find the missing angle W
U+V+W = 180
43+68+W = 180
111+W = 180
W = 180-111
W = 69
We have three three interior angles of triangle UVW
U = 43V = 68W = 69The longest side is opposite the largest angle, so the longest side is UV
The shortest side is opposite the smallest angle, so the shortest side is VW
The order of the sides from smallest to largest is
VW < UW < UV
Refer to the diagram below.
Determine the type of triangle that draw below ASAP
What is the predicted value of fuel efficiency (in miles per gallon) for a car with a 2.5 cubic liters engine? Round your answer to two decimals, if needed.
Answer:
25.92
Step-by-step explanation:
Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.
In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.
Need help with these 2
Answer:
1)(6,4)
11+1=12/2 =6
6+2=8/2=4
8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answer:
iacbsc kakwc s s k kd sdidv d lm vdfj
Step-by-step explanation:
please help me asap
Answer:A, C, C
Step-by-step explanation:
Answer:
rueiwiejr rjrjrjrjrjrrjriirjrjrjrrj
Brandi wants to participate in an after-school program. She has to choose between one art class, three dance classes, bwo gymnastics classes, or three sports casses. She cannot decide, so she writes the name of each class on a slip of paper and draws one slip out of a bag. What is the probability that she does not draw a dance class?
Answer:
Step-by-step explanation:
Its 1/3 just put that it will be right I promise
Please, can someone help me on math? Struggling a bit.
You are buying bottles of glue for Mrs. Perro's class. A bottle of glue is $0.74. Which equation can be use to find the number bottles she purchased for $12.58?
the figure consists of a quarter circle and a parallelogram. what is the area of the composite figure? use 3.14 for . Round to the nearest whole number.
70in.²
84in.²
154in.²
224in.²
Answer:
224
Step-by-step explanation:
the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex], so for the circle plug in your numbers:
(3.14)([tex]14^{2}[/tex]) = 615.44
divide this by 4 because t=in the picture you only have a fourth of a circle:
615.44 / 4 = 153.86
the formula for area of a trapezoid is [tex]\frac{a + b}{2}[/tex] × h
so plug in your values: [tex]\frac{14+14}{2}[/tex] × 5
you get 70
add 70 and 153.22
70 + 153.22 = 223.22
this can round to 224
10. Doug has added two decimal numbers. His work is shown.
14.2
+ 6.25
7.67
Doug's answer is incorrect. What did he do wrong? What should his sum be?
hurry please .
Brandon has been studying a lot and got 12 questions correct out of 15 on his Unit test. What
percentage of questions did Brandon get correct?
Answer: he got 80% correct