(5,-8) after a 180 degree counterclockwise rotation about the origin is (-5,8)
The volume of a Rubik’s cube is 512/216 cubic inches. Find the length of a side of the cube.
Answer:
4/3 inches, or 1.33333 inches
Step-by-step explanation:
In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*
* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same
what is the length of AC?
Answer:
The answer is 18 feet...
Step-by-step explanation:
C. 18ft is the answer
what is the product of 7/9 and 1/4 in fraction form?
Answer:
Wdym? that is fraction form, but if you ment decimal form; it is .7777 repeating and .25
Step-by-step explanation:
solve |2x+2|=10 ap3x
Answer:
solving for x
Step-by-step explanation:
4 or -6
Answer:
x = 4
Step-by-step explanation:
Those absolute value signs are a trick, well at least for this problem. Solve it how you usually would. However, if +2 was -2 or +/-2, then you would need to pay attention. Basically, those signs make the whole equation incased positive no matter what.
What is the surface area of a square prism with sides that measure 8 units?
Answer:
384 square units
Step-by-step explanation:
Square prism = Cube
Formula for finding the surface area of a cube = L x L (6)
Surface area = 8 x 8 (6)
Surface area = 64(6)
Surface area = 384 square units
Answer:
384 units squared
Step-by-step explanation:
Square 8 and then multiply by 6.
PLS HELP
A sand castle can be modeled with four 6-inch-tall square prisms, one on top of the other, as shown in the figure below.
The base of the bottom prism has a side length of 30 inches, and the base of each of the other three prisms has a side length 7 inches less than the side length of the base of the prism below it. What is the volume of the sand castle?
5,196 square inches
7,422 square inches
10,596 square inches
Answer:
10,596 cubic inches
Step-by-step explanation:
The shape of the prism with which the sand castle can be modelled = Square prism
The arrangement of the square prism = One on top of the other
The given height of each prism, h = 6 inches
The side length of the base of the bottom prism, s₄ = 30 inches
The side length of the base of the other prism = The side length of the base of the prism below each prism - 7 inches
Therefore;
The side length of a prism = 7 inches + The side length of the prism above it
Given that the side length of the base prism (The fourth prism), s₄ = 30 inches
The side length of the prism, directly above the base prism (The fourth prism), s₃ = (30 - 7) inches = 23 inches
The side length of the prism, directly above the third prism (The second prism), s₃ = (23 - 7) = 16 inches
The side length of the top most prism, s₁ = (16 - 7) inches = 9 inches
The volume of the sand castle, V = h × (s₄² + s₃² + s₂² + s₁²)
∴ V = 6 × (30² + 23² + 16² + 9²) = 10,596
The volume of the sand castle, V = 10,596 in.³
Heyo!
The volume of the sandcastle above is 10,596 cubic inches.
Hope this helps! If so, please lmk! Tysm and good luck guys!
Find the products using suitable identity:
1.(3y –2z) (3y + 2z)
2.105 × 98
2)10,290
105
98
10290
(3y-2z) (3y+2z)
3y(3y+2z)-2z(3y+2z)
9y2+6yz-2z(3y+2z)
9y2+6yz-6yz-4z2
9y2-4z2
a(b^2+c^2+bc) + b(c^2+a^2+ca) + c(a^2+b^2+ab)
Answer:
(a-b)(b-c)(a-c)
Step-by-step explanation:
a^2(b - c) + b^2(c-a) + c^2(a - b)
= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b
=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b
= ab(a - b) - c(a^2 - b^2) +c^2(a - b)
=ab(a - b) -c(a - b)(a + b) +c^2(a - b)
=(a - b)(ab - c(a + b) +c^2)
=(a - b)(ab - cb -ca + c^2)
= (a - b)(b(a-c) -c(a-c))
=(a-b)(b-c)(a-c)
Can u help solve this
Answer:
2304 in^3
Step-by-step explanation:
12×12×6+8×10×18
=864+1440
=2304
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the estimated value of each expression with its position on the number line. + A B C D E ++ + 1 2 3 4 5 6 7 -2 -1 0 A B С D E V90-V40 V35 - 42 V5 – V6 2127-148 V54 - V24 18 – V8
Answer:
1. D
2.C
3. E
4.A
Step-by-step explanation:
the guy above or below me is incorrect.
can someone please help? worth 10pts
Answer:
equation of the line would be y=-3x+7
Step-by-step explanation:
because the line goes 3 up and 1 behind for the next point ad the line is not y intercept 7
(a) You are given that 246x17 = 4182
Explain how you use this calculation to work out the value of 2460 x 1700
and
(b) 16x3 is 48. Use this to work out the answer to 0.16 x 0.3, showing how you do so.
Answer:
246×17=4182
2460×1700=4182000
(one zero on the end+2 zeroes in the end=3 zeroes in the end on the answer)
16×3=48
0,16×0,3=0,048
(2 numbers after comma+1 number after comma=3 numbers after comma in the answer)
Suppose we have a stick of length 1.a) We randomly uniformly choose a point and break the stick into two pieces.Find the expected length of the smaller piece.b) We randomly uniformly choose two points (independently) and break thestick into three pieces. Find the probability that the three resulting piecescan be arranged to form a triangle (i.e. all triangle inequalities are satisfied;i.e no piece is longer than the sum of the other two).
Answer:
Step-by-step explanation:
1) The smaller sticks will range in length from almost 0 unit up to a maximum of 0.5 unit, with each length equally possible.
Therefore, the average length will be about (0 + 0.5)/2 = 0.25 unit
2)If you assume that each break in the stick is uniformly distributed along the length of the stick and is independent of the location of the other break, then the odds are 25% that you will be able to form a triangle with the 3 pieces.
We'll call the length of the stick 1, so each break can occur at a position in the interval [0,1]. Let x and y represent the two breaks. Then we can look at the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is our probability.
If y>x, then the lengths of the pieces are x, y-x, and 1-y.
The triangle inequality must hold for each combination of edges.
for y>x ...
x+y−x≥1−y
x+1−y≥y−x
y−x+1−y≥x
these simplify to...
for y>x ...
y≥1/2
x+1/2≥y
x≤1/2
If we cut our 1x1 square into two triangles along the line x=y,
then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.
The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.
This region takes up 25% of the square, so the probability that you can form a triangle is 25%
Evaluate the function for x = 3a.
f(x) = 2x^2 – 3x +4
A. 9а
B. 6a^2- 9a + 4
C. 18a^2 - 9a +4
D. 12a^2 - 6a+4
Answer:
C
Step-by-step explanation:
We are given the function:
[tex]f(x) = 2x^2 -3x+4[/tex]
And we want to evaluate it for x = 3a.
Substitute:
[tex]f(3a) = 2(3a)^2-3(3a)+4[/tex]
Square:
[tex]f(3a) = 2(9a^2)-3(3a)+4[/tex]
Simplify:
[tex]f(3a) = 18a^2-9a+4[/tex]
Hence, our answer is C.
\sqrt{10(x-3)} =\sqrt{26\\
Step-by-step explanation:
[tex]\sqrt{10(x-3)} =\sqrt{26}[/tex]
[tex]\sqrt{10x-30} = \sqrt{26} \\\10x-30 = (\sqrt{26} )^2\\10x - 30 = 26\\10x = 56\\x = 56/10\\so, x = 28/5[/tex]
A cylindrical bucket is 24 cm tall and has a radius of 5 cm. Approximately, what is the
bucket's volume?
Answer: 1884 cm³
Step-by-step explanation:
cylinder volume = π · r² · h
h = height = 24 cmr = radius = 5 cmπ = pi ≈ 3.14π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³
Can SOMEONE PLEASE HELP ME? I really need to get this work done by tonight. PLEASE
Please help me find the answer guys
Answer:
15%
Step-by-step explanation:
As we see, by the time one day passes, we have the amount of weeds as 1650 times 0.85 to the power of 1. We can rewrite 0.85 as 85%. That means that 1650 keeps getting multiplied by 85% to the power of as many days that have passed. 85% can be rewritten again to 1 - 15%. We can see in the equation that the population of weeds decreases by 15% as d, increases, and d is the number of days, so the population of the weeds decreases by 15% each day.
Drag each label to the correct image. Each label can be used more than once, but not all labels will be used. A cube is a rectangular prism whose faces are all squares with sides of the same length. Match each cross section of the cube to its correct image.
Answer:
From left to right it's square square rectangle.
Can someone give me the answer asap thanks.
D. 2x⁶y²
This is the equivalent expression.
which steps should be used to graph the equation y-4=1/3 (x+2)
Answer:
y - 4 = 1/3 (x + 2)
3 y - 12 = x + 2
3y = x + 14
y = x / 3 + 14 / 3
Using y = m x + b as the equation for a standard line
We see that equation represents a line with slope of 1/3
When x = 0 the y-intercept is 14 /3
Find the midpoint of AC.
Answer:
(0+a)/2 , (0+a)/2
= (a/2, a/2)
Answered by GAUTHMATH
Jeff reads 5/7 of a book in 4 hours. At this rate, how much did he read in 1 hour? Please answer this correctly. Don't put a link i will report you.
Answer:
Jeff read 5/28 of a book in 1 hour.
Step-by-step explanation:
The rate given is 5/7 of a book read in 4 hours.
If the questions asks how much he read in 1 hour, it means the answer needed is a unit rate.
A unit rate is a rate per unit. In this case, a rate per hour.
Let’s find how much Jeff read in 1 hour:
5/7 in 4 hours is the rate given so:
5/7 ÷ 4
= 5/7 x 1/4
= 5/28 (already simplified/final answer)
SO, Jeff read 5/28 of the book in 1 hour.
Brainliest? Hope this helped!
highest common factor of 28,40,12 and 24
Answer:
4
Step-by-step explanation:
We want to find the highest common factor
Breaking them into factors
28 = 4*7 = 2*2*7
40 = 4*10 = 2*2*2*5
12 = 4*3 = 2*2*3
24 = 3*8 = 3*2*2*2
The factor that appears in all is 2*2
2*2 =4
Answer:
4
Step-by-step explanation:
28÷4=7
40÷4=10
12÷4=3
24÷4=6
7, 10, 3 and 6 cannot be divided by any same number.
Given |
m || n, find the value of x.
xº
m
54°
2
Answer: 2 =
Submit Answer
attempt 1 out of 2
Pls help me I got it wrong one already
Answer:
x = 126
Step-by-step explanation:
The angles are complementary which means they sum to 180
x+54 =180
x = 180-54
x = 126
Solve the inequality 2x – 22 < -8.
2x - 22 < -8
Add 22 to both sides
2x < 14
Divide both sides by 2
X < 7
Answer:
[tex]2x-22<-8[/tex]
Add 22 to both sides
[tex]2x-22+22<-8+22[/tex]
[tex]2x<14[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}<\frac{14}{2}[/tex]
[tex]x<7[/tex]
OAmalOHopeO
please i need your help
Answer:
x is 11
Step-by-step explanation:
[tex]{ \tt{10 + 5 + x = 26}} \\ x = 11[/tex]
Help quickly PLEASE In a probability experiment, Eric flipped a coin 39 times. The coin landed on heads 26 times. What is the ratio of heads to tails in this experiment?
A. 3/2 B.1/2 C. 3/2 D 2/1
Answer: 2/1 (Choice D)
Explanation:
He flipped the coin 39 times, of which 26 heads came up. That must mean 39-26 = 13 tails came up.
The ratio of heads to tails is 26/13 = 2/1
We can write that as 2:1 to mean similar notation. The key is that we list heads first since the phrasing is "ratio of heads to tails", where heads is listed first. If you had tails first, then it would flip to 1/2 aka 1:2
Find the real solution(s) of the following equation.
98 =
= 729
Choose all answers that apply:
A
8= 7
B
8= -7
8=9
D
8= -9
None of the above
Answer:
a=9
Step-by-step explanation:
a^3 = 729
Taking the cube root of each side
a^3 ^(1/3) = 729^ (1/3)
a = 9
What is the length of segment VT?
Answer:
5
Step-by-step explanation:
VU = VT because they are on two diagonals that intersect at the midpoint