Answer:
The amount to remove from each corner is a square, 4/3 ft by 4/3 ft.
Step-by-step explanation:
The piece of cardboard measures 8 ft by 8 ft.
Each corner will be cut to create the sides of the box.
Let the square cut from each corner measure x by x ft.
The base of the box will measure 8 - 2x by 8 - 2x, and the height of the box will be x.
V = (8 - 2x)^2 * x
V = 64x - 32x^2 + 4x^3
Now we differentiate and set the derivative equal to zero to find a maximum value.
64 - 64x + 12x^2 = 0
3x^2 - 16x + 16 = 0
(3x - 4)(x - 4) = 0
3x - 4 = 0 or x - 4 = 0
3x = 4 or x = 4
x = 4/3 or x = 4
The solution x = 4 must be discarded since 8 - 2x = 8 - 8 = 0, and the sides would have 0 length.
The amount to remove from each corner is a square, 4/3 ft by 4/3 ft.
30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?
Answer:
27
Step-by-step explanation:
Multiply 90 by 0.3 and you have your answer
How do you solve this proof?
Answer:
1) Given
2) Isosceles triangle's 2 sides are equal. Vertex angle is M. So, ML = MN
3) Given
4) T divided LN into to equal parts.
5) Common
6) SSS
What value of x will make the equation below true?
7(4+x)=84
Answer:
x=8
Step-by-step explanation:
distribute 7(4+x)
28+7x=84
84-28=56
56/7=8
3/5 pencils sold in the morning. 1/4 of the remainder in the afternoon. If 200 more pencils were sold in the morning than afternoon, how many pencils did they start with
Answer:
x = total pencils = 400 pencils
Step-by-step explanation:
Let
x = total pencils
Pencils sold in the morning = 3/5x
Remaining pencil = x - 3/5x
= 5x-3x/5
= 2/5x
Pencils sold in the afternoon = 1/4 of the remainder
= 1/4 * 2/5x
= 2/20x
= 1/10x
Pencils sold in the afternoon = 1/10x
3/5x + 200 = 1/10x
3/5x - 1/10x = 200
(6x-x)/10 = 200
5/10x = 200
1/2x = 200
x = 200 ÷ 1/2
= 200 × 2/1
x = 400 pencils
x = total pencils = 400 pencils
Can someone please help me find the area of this semi circle plz
Answer: I think it is 39.25
Step-by-step explanation:
10/2=5
5^2=25
25*3.14=78.5
78.5/2=39.25
!!!!!!!PLEASE HELP I DNT UNDERSTAND!!!!!! WILL GIVE BRAINLYIEST
Answer:
11. 8/30
Step-by-step explanation:
add all the marbles
you get 30 marbles
then the probability of yellow being taken out is 8
what goes in the highlighted box?
Answer: 11y
Step-by-step explanation:
When you add 6y and 5y that equals 11y <3
Answer:
11Y goes in the highlighted section.
Step-by-step explanation:
Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.
Then add the Ys together.
I can't really explain anymore, but i hope this helps!!!!
Then your final answer would be y=6. :)
A bag contains 96 marbles, some red and some green. The ratio of red marbles to green ones is
2:4. How many green marbles are there?
help solve this please
Answer:
f² - 11f - 12
Step-by-step explanation:
(f-12)(f+1) = f² + 1f - 12f - 12
Plz solve this question
7). 1/(√7-√11)
= 1×(√7+√11)/(√7-√11)(√7+√11)
= √7+√11 / (√7)² - (√11)²
= √7 + √11 / 7 - 11
= √7 + √11 / (-4)
EXPLAINATION:
to rationalize the denominator we multiply the numerator and the denominator by the denominator, but with the opposite sign.
For example - in the first question we multiplied 1 and √7 - √11 by √7 + √11 .
answer choices for number one:
x<4
x>4
x<0
x<-4
answer choices for number two:
x<-3
x>-3
x<9
x>9
Answer:
Question 1. x>4
Question 2. x<9
(6, - 3, 1) and (8,9,-11) find the angle between the vector
Answer:
The angle between the two vectors is 84.813°.
Step-by-step explanation:
Statement is incomplete. Complete form is presented below:
Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors.
Let [tex]\vec u = \langle 6, -3, 1 \rangle[/tex] and [tex]\vec v = \langle 8,9,-11 \rangle[/tex], the angle between the two vectors is determined from definition of dot product:
[tex]\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex] (1)
Where:
[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.
[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of each vector.
Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.
If we know that [tex]\vec u = \langle 6,-3,1 \rangle[/tex] and [tex]\vec v = \langle 8, 9,-11 \rangle[/tex], then the angle between the two vectors is:
[tex]\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right][/tex]
[tex]\theta \approx 84.813^{\circ}[/tex]
The angle between the two vectors is 84.813°.
Do not give me any types of links.
Find the surface area of a sphere with radius 5 using the formula SA=4pir2
Leave answer in terms of n
A. 75 pi units squared
B. 100 pi units squared
Answer:
B. 100 pi units squared
Step-by-step explanation:
Find the surface area of a sphere with radius 5 using the formula SA=4pir²
Leave answer in terms of π = pi
From the question
The formula for the Surface Area if a square = 4 × pi × r²
r = 5
Hence,
Surface Area of a Sphere = 4 × pi × 5²
= 100 pi units squared
Option B is the correct option
Please help quick! last question on my hw.
Answer:
The answer in C
Step-by-step explanation:
if you add all the numbers and divide by 25 you get 17
Solve 2 (x+3) = x - 4
Answer:
x=-10
Step-by-step explanation:
2(x+3)=x-4
2x+6=x-4
2x-x=-6-4
x=-10
Please mark me brainliest if it helped
2(x+3)=x-4
2x+6=x-4
-----------------
2x+6=x-4
2x+6=x-4-6
Subtract the numbers
2x=x-10
2x-x=x-10-x
Simplify
Combine like terms
Multiply by 1
Combine like terms
----->>> x= - 10
x equals -10
The model below has an area of 16 square units which expression represents the side length of the model in units /64 /4 /16 /8
Answer:
4
Step-by-step explanation:
the area of a square = length²
16 = length²
find the square root of both sides of the equation
length = 4
What fraction of the square is the green triangle?
Answer:
1/4
Step-by-step explanation:
Answer:
7/32
(btw thats the simplified version....look at the bottom for non-simplified if you didnt need it simplified)
Step-by-step explanation:
first count how many squares there are in total
its 8 by 8 so in total there are 64!
now there is the green triangle.....
count all the whole squares in it = 10
now count all the half squares (little triangles in it)= 8
Now if you put those little triangles together it would make one small unit square so it is 4 of all
10 + 4 = 14
So there is a Total of 14 unit squares in the green triangle
Fraction Time......
now lets take 14/64 and simplify it
that would be 7/32
We cant make it any more simplified now if you werent looking for the simplified version the your answser would be 14/64
I hope this was the answser you were looking for!! Mark Me Brainliest ;)Can someone please help me
Answer: I'm not to sure about this question its kind of confusing.
Step-by-step explanation:
Please help, due soon. Find the length of each arc. Use exact answer
Answer:
C
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{285}{360}[/tex]
= 2π × 18 × [tex]\frac{19}{24}[/tex]
= 36π × [tex]\frac{19}{24}[/tex] ( cancel 36 and 24 by 12 )
= 3π × [tex]\frac{19}{2}[/tex]
= [tex]\frac{57\pi }{2}[/tex] → C
4x – 5 + 2(x – 3) = 12x + 7
X=
Answer:
-3
Step-by-step explanation:
4x - 5 + 2(x - 3) = 12x + 7
4x - 5 + 2x - 6 = 12x + 7
4x + 2x - 5 - 6 = 12x + 7
6x - 11 = 12x + 7
collect like terms
6x - 12x = 7 + 11
-6x = 18
-x = 3
x = -3
PLEASE NEED HELP FAST!!
Buying one item at regular price and buying a second identical item for 50% off is the same as buying both items for 25% off.
If the regular price of an item is x dollars, which equation illustrates this relationship?
O A x+0.5x = 2(0.25.x)
B. X-0.5.x = 2(0.25.x)
O C. 1-0.5x = 2(0.75.8)
D. X+0.5.x = 2(0.75.x)
Answer:
b
Step-by-step explanation:
Answer:
ok
Step-by-step explanation
part b
Which of the following statement is false?
Answer:
D.) rational numbers are associative under subtraction
Step-by-step explanation:
rational numbers are closed under subtraction
↳ TRUE
zero is the identity for addition of rational numbers
↳ TRUE
subtraction is the inverse of the addition
↳ TRUE
rational numbers are associative under subtraction
↳ FALSE
A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are not replaced
Answer: 2 / 15
Step-by-step explanation:
3 red / 10 total
4 white / 9 total
3/10 * 4/9 = 12/90 = 2/15
Determine how (if possible) the triangles can be proved similar.
AAA-
B.
SSS
COSAS
D. Not enough info/not similar
A jar contains 30 red marbles, 50 blue marbles, and 20 white marbles. You pick one at random. Find
the given probabilities:
Type a full reduced fraction. Ex. 1/4
P(red)=
P(blue)=
P(not white)=
Answer:
P(blue)=1/2 50 marbles are blue
The rectangle ABCD is reflected across the y-axis. What are the
coordinates of the vertex A'?
A point at (-7, -6) is reflected over the x-axis. What is the distance between the point and its reflection?
6 units
7 units
12 units
14 units
Answer:
It Would be 14 units.
Step-by-step explanation:
Have a Great Day.
:)
Will accept Brainliest
Phoebe has 72 roses that she is putting into 5 vases. If she puts the same number of roses in each vase, how many roses are left over?
Answer:
2 roses left over
Step-by-step explanation:
72/ 5 = 14.4
so we know for sure that we can put 14 roses on each vase but no mor than 14 on each vase Some will be left left over
14x5 = 70
72-70 = 2 (2 roses left over)
I need help I will give brainliest.
Answer:
C
Step-by-step explanation:
what is the slope of the line?
Answer:
y = 2x - 3
Step-by-step explanation:
Since the line is going 2 down and 1 left. The slope is 2.
The line crosses the y-intercept at -3.
y = 2x - 3
Answer:
m = 2
Step-by-step explanation:
You have to use the slope formula and insert your points into the formula. Your formula should have turned into 0 - (-3)/1.5 - 0. If you simplfy your equation your get m(slope)=2.
Hope this helps! :D
-Luna