Answer:
Length = 15.14, width = 7.14 and height = 2.43 inches.
( correct to the nearest hundredth).
Step-by-step explanation:
Let the lengths of the squares cut out be x inches.
Then the width of the box will be 12 - 2x and the length will be
20 - 2x inches.
The height of the box is x inches.
Volume V = x(20-2x)(12-2x)
To find the value of x when V is a maximum we find the derivative and equate it to zero.
V = x( 240 - 64x + 4x^2)
V = 4x^3 - 64x^2 + 240x
dV/dx = 12x^2 - 128x + 240 = 0
4(3x^2 - 32x + 60) = 0
This won't factor so we use the formula:
x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6
= 8.24, 2.43.
So one of these gives a maximum Volume.
The second derivative
d^2V/dx^2 = 24x - 128
When x = 8.24, this = 69.6 (positive) so this gives a minimum.
x = 2.43 gives a negative value ( -49.7) so this is the maximum
So the dimensions are:-
length = 20 - 2(2.43) = 15.14
width = 12 - 2(2.43) = 7.14
height = 2.43.
A right triangle has one 28° and one 90°. What is the measurement of the third angle?
Answer:
The third measurement is 62°
Step-by-step explanation:
Hey there! Please take a look at the explanation for clear understanding to the answer and also let me know in comment if you have any doubts!
Euclidean TriangleThe theorem regarding it states that, sum of all 3 interior angles must equal to 180°.
That means, we will have this equation:
[tex]\displaystyle \large{28^{\circ} + 90^{\circ} + x=180^{\circ}}[/tex] because we know two interior angles and one missing angle - sum of them equals to 180 degrees.
Then we solve for x-term to find the third measurement!
[tex]\displaystyle \large{118^{\circ}+x=180^{\circ}}[/tex]
Subtract both sides by 118 degrees.
[tex]\displaystyle \large{118^{\circ}-118^{\circ}+x=180^{\circ}-118^{\circ}}\\\\\displaystyle \large{x=62^{\circ}}[/tex]
Henceforth, the third measurement is 62°
What is the cost of the hot dog?
What is the cost of one hamburger?pleaseeeee hellpppppp
Answer:
1 hot dog = $1.50 each
1 hamburger = $1.75 each
Step-by-step explanation:
Answer:
The prices must be $1.50 and $1.75
Step-by-step explanation:
For instance, seven hot dogs and two hamburgers cost $14: 7D+2B=14
We also know that two hot dogs and seven hamburgers cost $15.25: 2D+7B=15.25
Now, if we combine these two equations, we have a system where EVERYTHING has to be true at the same time
7D+2B=14
2D+7B=15.25
From here there are a couple trick you should know to solve a system of equation, especially substitution and elimination. I see a coefficient of 2, so I'd rather use substitution by dividing the entire first equation in half:
3.5D+B=7
Now I'll solve for B
B=7-3.5D
Now that I've solved for a variable, I can substitute the solution into the other equation
2D+7( B )=15.25
becomes
2D+7(7-3.5D)=15.25
Now I can distribute and solve for D:
2D+49-24.5D=15.25
22.5D=33.75
D=1.5
Now we can replace D from either (or both) of our original equations and see what B has to be
7(1.5)+2B=14
10.5+2B=14
2B=3.5
B=1.75
2(1.5)+7B=15.25
3+7B=15.25
7B=12.25
B=1.75
The prices must be $1.50 and $1.75. The most important part of all this is setting up the equations, the rest is just being careful with your calculations.
I need help with this
Answer: 473 square meters
Step-by-step explanation:
WILL GIVE BRAINLIEST 50 POINTS
∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.
∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'
(x,y) → (x+5,y)
(x,y) → (5x,5y)
(x,y) → (.5x,.5y)
(x,y) → (x,-y)
(x,y) → (-x,-y)
Answer:
(x+5,y) = Yes
(5x,5y) = No
(.5x,.5y) = No
(x,-y) Yes
(-x,-y) Yes
Step-by-step explanation:
Find - 7.8 + (- 12) + (-82.3).
O 102.1
O – 102.1
0 -91.3
O-62.5
Answer:
-102.1
Step-by-step explanation:
When adding negative numbers, act as if you are subtracting that same number, but in its positive form.
So in reality, you could rewrite the equation as: (-7.8) - 12 - 82.3 = -102.1
0.8 to the fourth power
Need help asap trigonometric ratios
Answer:
D
Step-by-step explanation:
cotangent = cos / sin
= 4/3
using pythagorean theorem 4^2 + 3^3 = h^2 <===== h = 5
then cos = 4/5 sin = 3/5
then, since csc = 1/sin = 5/3
ASAP WILL GIVE BRAINLIEST!
Given: AB CD and AB || CD
Prove: ABCD is a parallelogram
The missing parts of the given table are
∠1 ≅ ∠4 → Alternate interior angles Theorem
DB ≅ DB → Reflexive property
ΔDAB ≅ ΔBCD → SAS (Side Angle Side)
Proving a quadrilateral is a parallelogramFrom the question, we are to complete the table to prove that ABCD is a parallelogram
The Alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. That is, they are equal.The reflexive property of congruence states that an angle, line segment, or shape is always congruent to itselfThe missing parts in the table can be completed as shown below
∠1 ≅ ∠4 → Alternate interior angles Theorem
DB ≅ DB → Reflexive property
ΔDAB ≅ ΔBCD → SAS (Side Angle Side)
Hence, the missing parts of the given table are
∠1 ≅ ∠4 → Alternate interior angles Theorem
DB ≅ DB → Reflexive property
ΔDAB ≅ ΔBCD → SAS (Side Angle Side)
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.
What is the definition of cause and effect structure?
A. Describes a problem as well as its causes and suggests solutions
B. Shows how two or more things are alike andlor different
C. Shows relationship between events, explains how one thing happens as a result of another
D. Describes a topic, idea, person, place or thing
Answer:
Method of paragraph or essay development in which a writer analyzes the reason for - and / or the consequences of - an action , event, or decision
Answer:
C. Shows relationship between events, explains how one thing happens as a result of another
Step-by-step explanation:
Solve each proportion. 9/8 = x/7
Answer:
x=63/8
Step-by-step explanation:
9/8=x/7
or, 9*7=x*8
or, 63=8x
x=63/8
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
the last 2 answer options are completely useless and outright nonsense, because all limits are going against +4.
so, an asymptote at x = -4 is not an option anywhere.
g(x) is always y, and the limit of the function is the limit of the y values.
we just evaluate for what x value is then y reaching that limit. but the sign of the y limit has no direct impact on the sign of the x value.
it is true that the case x = -4 needs to be checked too, but it turns out this just delivers g(-4) = 0.
now, about x = 4 :
when coming from the left side of +4 (increasing x), what is the sign of the function ?
we can simply use x = 3 to test this :
g(3) = 2(3+4)²/(3² - 16) = 2×49/-7
so, it is negative.
that means when getting closer and closer to +4 coming from that side we what get negative values, and the limit is -infinity.
when coming from the right side of +4 (decreasing x), what is the sign of the function ?
we can simply use x = 5 to test this :
g(3) = 2(5+4)²/(5² - 16) = 2×81/9
so, it is positive.
that means when getting closer and closer to +4 coming from that side we what get positive values, and the limit is +infinity.
so, the second answer option is correct.
because of these y limits, there is a vertical asymptote at x = 4 that kind of "connects" -infinity and +infinity in y direction at that location and symbolizes the limits of y.
im stuck need help me i don't get it
Answer:
J. 12 : 18
Step-by-step explanation:
Amy used 2 tea bags for every 3 cups of water to make iced tea
the ratio here is 2:3
x = 2:3
lets simplify our ratios
6 : 10 = 3 : 5 ≠ 2 : 3
5 : 6 = (doesn't simplify evenly) ≠ 2 : 3
9 : 15 = 3 : 5 ≠ 2 : 3
12 : 18 = 2 : 3 = 2 : 3
Simplifying
find their highest common factor and divide both the numbers by the same amount (HCF).
Ex.
12 : 18
12 ÷ 6 = 2
18 ÷ 6 = 3
2 : 3
Find the base for the following items.
1.50 is 20% of what number?
2.18 is 3373% of what number?
3.4 is 1% of what number?
4.5% of what number is 90?
5.1623% of what number is 72?
Answer:
1.50 * 20% = 0.32.18 * 3373% = 73.53143.4 * 1% = 0.0344.5% * 90 = 4.055.1623% * 72 = 3.716856Step-by-step explanation:
I can't really explain, but Here comes the hoping:
Equation 1:
1.50 * 20%= 1.50 * 0.20= 0.3Equation 2:
2.18 * 3373% = 73.5314 (Can't find decimal).Equation 3:
3.4 * 1%= 3.4 * 0.01= 0.034Equation 4:
4.5% * 90= 0.045 * 90= 4.05Equation 5:
5.1623% 72= 3.716856 (Can't find decimal).8.2 × 10-3, 5.2 × 10-6, and 4.1 × 10-6. Which number is the greatest, and by how many times is it greater than the smallest number?
Answer:
8.2 * 10^-3 is the greatest and 5.2 * 10^-6 is the smallest.
Step-by-step explanation:
Question 4. Graph the equation 2(x - 1)^2 - 4y² = 8 and determine all intercepts and
symmetries.
Answer:
X Intercepts: (3,0) , (-1,0)
Y Intercepts: None
Hope this helps.
edclub
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canvas instructure...
Which point in the coordinate plane represents the location of the ordered pair
(3.75,-2.25)?
K
M
any help?
A : Point M
B : Point N
C : Point L
D : Point K
The product of -5/7 and -2/5 is
Answer:2/7
Step-by-step explanation:
TThe solution is in the image
Susan is going to watch a movie in her collection she has 5 action movies 4comedies and 3 dramas she will randomly select one movie what is the probability tagt the movie she selects is not drama hurry please
Answer:
9/12 or 75%.
Step-by-step explanation:
Let's first add the choices all up.
5+4+3= 12.
We have 12 movie choices in total.
Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that. We want the chance she will NOT choose drama, so that would be 9/12.
*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*
What is the range of the following relation?
Answer:
Y less than or equal to zero
Step-by-step explanation:
The graph shows that its moving downwards, therefore the Y value is decreasing..
6
5
4
3
2
1
A
654-3-2-1₁.
-2-
3-
4+
B
5
2 9 4 9
6
uje
1 2 3 4 5 6 X
с
What are possible coordinates of point F if ADEF is
congruent to AABC?
(-1,4)
(4,-1)
(0,-1)
(-1,0)
Answer:
(-1;4)
Step-by-step explanation:
as the triangles are congruent
The coordinate of point F is (1-, 4). Therefore, option A is the correct answer.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given graph, the coordinate points are A(-5, 0), B(-5, -5) and C(2, -5).
Here, ΔABC and ΔDEF are congruent triangles.
So, the coordinate of point F are (1-, 4)
Therefore, option A is the correct answer.
Learn more about the coordinate plane here:
https://brainly.com/question/24134413.
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Help me solve this please?
The surface area of the triangular prism is 330 centimetres cube.
How to find the surface area of a triangular prism?surface area of a triangular prism = (a + b + c) l + 2(base area)
where
a, b and c are the sides of the basel = height of the prismHence,
surface area = (5 + 12 + 13)9 + 5 × 12
surface area = 30(9) + 60
surface area = 270 + 60
surface area = 330 cm³
learn more on prism here: https://brainly.com/question/17351910
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12. The weights of bags of corn produced at a factory are normally distributed with a mean
of 28 oz and a standard deviation of 2 oz. Consider a shipment of 800 bags of corn.
How many of the bags will weigh 26.5 oz or less?
Answer:
If they are 28 Oz and a deviation of 2 it will be 26 so 26 times 800 will be 4800. so technically 1 bag is 26oz so the answer is 1 bag.
Equation for a line perpendicular to 3y-9x=9 and passing through the point(-3,2)
Answer:
Step-by-step explanation:
3y-9x=9
3y-9x+9x=9+9x
3y=9x+9
y=3x+3
If a line is perpendicular to an equation, the slope is flipped.
So, 3x would equal to -3x.
The final equation is y=-3x+3
This is geometry help me
Answer:
Step-by-step explanation:
Remark
9.3 x and 60 degrees are all related to the Tangent of L or Tan(L) as you would find it on your calculator.
Givens
Opposite = 9.3Adjacent = xTheta = 60Formula
Tan(60) = opposite / Adjacent Substitute Values
Solution
Tan(60) = 9.3 / x Multiply both sides by x
x*Tan(60) = x * 9.3 /x
x* Tan(60) = 9.3 Divide both sides by Tan(60)
x * Tan(60) / Tan(60) = 9.3/Tan(60)
x = 9.3 / 1.7321
x = 5.369
Answer
x = 5.4
What is the volume of this figure?
Answer:
4,105 yd cubed
Step-by-step explanation:
This can be divided into three rectangular prisms, one of which is constructed from triangular prisms
19*9*10 = 1,170 yd
30*9*7 = 1,890 yd
10*5.5*9 = 1,045 yd
Adding them all together gets
4,105 yd cubed
One day you consume 290 grams of carbohydrates, 60 grams of fat, and 70 grams of protein. What are your total calories for the day?
290 grams of carbs=
60 grams of fat=
70 grams of protein=
Total for the day=
explain please thanks
Answer: 1980 calories
Step-by-step explanation:
290grams of carbs=1160g
60 grams of fat=540
70 grams of protein=280 calories
290 x 4=1160
60 x 9=540
70 x 4=280
1160+540+280=1980 calories
carbs provide 4 calories per gram
fat provides 9 calories per gram
protein provides 4 calories per gram
How do i make a bestfriend
Answer:
Just add me and let's our journey begins :3
Step-by-step explanation:
Just add me and let's our journey begins :3
11 BAP-Z
Question
Find the volume of the solid figure.
1 cm
3 cm
6 cm
2 cm
3 cm
8 cm
9 cm
Answer:
168 [tex]cm^{3}[/tex]
Step-by-step explanation:
Start by finding the whole prism's volume. 9 x 3 x 8 = 216 Then find the volume of the missing part. 8 x 6 x 1 = 48. Subtract the missing volume from the whole volume. 216 - 48 = 168
Anyone? please help asap i really want to finish this
It is a Part A and Part B Question
Note: please add the answer next to what part it's from so I can know which part was answered
Answer:
Question 6a: [tex]p \leq 16[/tex]
Question 6b: option d
Step-by-step explanation:
Question 6a: [tex]6p \leq 96\\6p/6 \leq 96/6\\p \leq 16[/tex]
Question 6b:
- closed dot since its equal to 16
- p is less than 16 (arrow pointing left)
Joey is putting all of his trophies onto 7 shelves. If he places 7 trophies on each shelf but still has 4 trophies left over, how many
trophies does he have?
OA. 53
OB. 35
OC. 18
OD. 49
Answer:
53
Step-by-step explanation:
7 * 7 = 49 + 4 = 53
Answer:
A. 53
Step-by-step explanation:
Find number of trophies on shelves:
7 shelves x 7 trophies each = 49 trophies on shelves
Find total number of trophies:
49 trophies on shelves + 4 leftover = 53 trophies overall
So the answer is A. 53