Answer:
IT IS FALSE
Step-by-step explanation:
Extra Credit:
8 congruent spheres are packed into a cube with
edge length x so that each sphere is tangent to 3
faces of the cube and 3 other spheres as shown.
what is the ratio of the total volume of the
spheres of the volume of the cube?
Answer:
Ratio of the volumes of the spheres and cube = 0.523
Step-by-step explanation:
From the figure attached,
Diameter of one sphere = Half of the measure of one side of the cube
= [tex]\frac{x}{2}[/tex]
Radius of the sphere = [tex]\frac{\frac{x}{2}}{2}[/tex]
= [tex]\frac{x}{4}[/tex]
Volume of a cube is given by the formula,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Therefore, volume of one sphere = [tex]\frac{4}{3}\pi (\frac{x}{4})^{3}[/tex]
= [tex]\frac{x^3\pi}{48}[/tex]
Volume of 8 spheres = [tex]8\times \frac{x^3\pi}{48}[/tex]
= [tex]\frac{x^3\pi}{6}[/tex]
Volume of a cube = (side)³
= [tex]x^3[/tex]
Ratio of the volumes of the sphere and cube = [tex]\frac{\frac{\pi x^3}{6} }{x^3}[/tex]
= [tex]\frac{\pi}{6}[/tex]
≈ 0.523
Can you plz help me!dddddddd
Answer:
We are finding hypotenuse:
6^2 + 8^2
36 + 64 = 100
Now we need to find a number that should be squared to equal 100.
10^2 = 100!
10 is your answer.
PLEASE HELP ME I REALLY NEED THE ANSWER
1 tickets
2 tickets
3 tickets
4 tickets
Answer:
2 adult tickets
Step-by-step explanation:
we have two relations
[tex]a + c = 5[/tex]
[tex]9a + 4c = 30[/tex]
first rearrange the top equality for one of the variables
[tex]a = 5 - c[/tex]
now substitute into the second equation
[tex]9(5 - c) + 4c = 30[/tex]
perform the distribution and combine like terms
[tex]45 - 9c + 4c = 30[/tex]
[tex]45 - 5c = 30[/tex]
[tex] - 5c = - 15[/tex]
[tex]c = 3[/tex]
place this 3 into our first equation and solve for a
[tex]a + (3) = 5[/tex]
[tex]a = 2[/tex]
A person can pay $11 for a membership to the history museum and then go to the museum
for just $1 per visit. What is the maximum number of visits a member of the history
museum can make for a total cost of $100?
Answer:
89 if you pay 11$ to go to the museum for Justin 1$
Step-by-step explanation:
100 - 11 = 89.
Help me with this please!!!!!!
Answer:
w = [tex]14\sqrt{2}[/tex]
Step-by-step explanation:
Sin(60) = [tex]7\sqrt{6}[/tex] / w
Sin(60) * w = [tex]7\sqrt{6}[/tex]
w = [tex]7\sqrt{6}[/tex] / Sin(60)
w = [tex]14\sqrt{2}[/tex]
Hope this helps!
l-Ready
» Put gold bars into the machine to
produce exactly 21 gold cats.
Tap the reset button to start over.
cey Car
Go
Answer:
Step-by-step explanation:
Trapezoid TRAP is shown on the grid below.
What is the length of the midsegment MN?
6
9
12
18
Answer:
18
Step-by-step explanation:
6 = 3s
s=?
What does s=?
Answer:
s=2
Step-by-step explanation:
6=3s
6/3=3s/3 divide both sides by 3
2=s
Jackie's mother's sister has a son. How would that son be related to Jackie? He is Jackie's
Answer:
cousin
Step-by-step explanation:
because his moms sister is his aunt and if she had a kid it would be his cousin hope this help
Jackie's aunt son would be related to Jackie as her cousin.
CousinCousin is referred to as the son or daughter of an uncle or aunt. Cousins are people who share a common ancestor that is at least 2 generations away, such as a grandparent or great-grandparent.
Jackie's mother's sister is Jackie's aunt. Therefore Jackie's aunt son would be related to Jackie as her cousin.
Find out more on Cousin at: https://brainly.com/question/12481514
BRAINLEST TO THE PERSON WHO CAN ANSWER BOTH !
Answer:
Question 7: False, False, true
Question 8: B
Step-by-step explanation:
Which two shapes have perimeters of 18 feet but have different areas?(1 point)
A rectangle with a length of 9 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 5 ft. and a width of 3 ft. and a square with a side length of 4 ft.
A rectangle with a length of 7 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 8 ft. and a width of 2 ft. and a square with a side length of 4 ft.
Answer:
they have different areas and different perimeters
Step-by-step explanation:
Heeeeeeelp meeee pleaseeeee
Answer:
755887578787-∵°
Step-by-step explanation:
Consider the conversion of the speed 156 feet per second to kilometers per hour. Which TWO statements are correct? A) 156 ft/s = 11,232 in/min B) 156 ft/s = 112,320 in/min Eliminate C) 156 ft 1s x 1min 60s x 12in 1ft D) 156 ft 1s x 60s 1min x 1ft 12in E) 156ft 1s x 60s 1min x 12in 1ft
I NEED THE ANSWER ASAP
Answer:
If your doing it on usa tp and have a through e is b and e
Step-by-step explanation:
The two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Given the following data:
Speed = 156 feet per seconds.To convert the value of speed in feet per seconds to kilometers per hour:
What is speed?Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).
Conversion:
1 ft/s = 1.09728 km/hr.
156 ft/s = X km/hr.
Cross-multiplying , we have:
[tex]X=156 \times 1.09728[/tex]
X = 171.1757 km/hr.
Note:
1 feet = 12 inches.
156 feet = [tex]156 \times 12[/tex] = 1872 inches.
Next, we would convert this value to inches per minute:
156 ft/s = [tex]1872 \times 60[/tex] = 112,320 inches per minute.
Therefore, the two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Read more on speed here: https://brainly.com/question/10545161
help ASAP!!!
The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481
feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.
(HINT: Is the base on the surface?)
[tex] \huge \frak \orange {question:-}[/tex]
The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481 feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.
(HINT: Is the base on the surface?)
[tex] \huge \frak \red{solution:-}[/tex]
Square with edge length = 756 feet
Square= 1/2 × 297.45 × 481
= 286,146.9ft
= 1,037,709,9ft. base with edge length =756 feet
area of square,
= Side² = 756 × 756 = 571,563ft²
⇒ area of base = 1/2 = 756/2 = 378ft
By pythagorean theorem,
H² = P²+B²
(481)² = P²+(378)²
P² = (481)²-(378)²
P² = 231,361-142,884
P² = 88,477
P = √88,477
P = 297.45
Area of triangle =1/2 × b × h
= 1/2x297.45*481
= 148.725×481
= 71,536.725
Now area of 4 triangles = 4×71,536.725
= 286,146.9ft
total surface area of pyramid + square
= 751,563+286,146.
= 1,037,709,9ft.
[tex] \huge \frak \blue{answer:-}[/tex]
[tex] \boxed{1,037,709,9ft}[/tex]
the population of hillville grows at an annual rate of 15%. What will the estimated population of hillville be in five years?
Answer:
If a city of population 10,000 experience 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate? The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent.
Step-by-step explanation:
Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?
A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2
Answer:
b
Step-by-step explanation:
0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2
Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y
9514 1404 393
Answer:
-8x^2·y·z +3y·z^2 -4y
Step-by-step explanation:
It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...
x^2 y z
y z^2
x^2 y z
y
Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.
= -8x^2·y·z +3y·z^2 -4y
What x and y equal to
Answer:
X = 4, Y = 3.
Explanation:
Since the length of side CK is equal to the length of WM, then you can make the equation 6y-4 = 18. then you just add 4 to each side and divide both sides by six to get 3. Same thing for the other equation. Angle (i think its an angle due to its placement) C is equal to angle M, so you can make the equation 3x + 7 = 19. Subtract seven from both sides then divide by 3 to get 4. Tell me if you have any questions :)
Answer and Step-by-step explanation:
We know the triangles are congruent, so if you were to flip one of the triangles onto the other, the will perfectly match up, allowing us to solve for x and y.
19 = 3x + 7
Subtract 7 from both sides.
12 = 3x
Divide each side by 3.
4 = x
14 = 6y - 4
Add 4 to each side.
18 = 6y
Divide each side by 6.
3 = y
x = 4
y = 3
#teamtrees #PAW (Plant And Water)
Carlos has $13 in his bank account and writes a check for $22. After the check has been cashed, what will the bank balance show?
Answer:
Step by step explanation:
13-22=-9
Simi bought a study table for $ 9000. She sold it at a profit of 20%. How much profit did she make? What is the selling price?
Answer:
cost price of a table=$9000
profit%=20%
Let profit be x
to find profit use formula,
profit%=profit/cost price*100
20%=x/$9000*100
20*$9000=100x
$180000/100=x
$1800=x
Now to find selling prie os a table use formula,
cost price +profit
$9000+$1800
$91800
therefore selling price of a table is $91800
Step-by-step explanation:
Hope this helps u!!
BRAINIEST TO WHOEVER RIGHT
Could you get a closer picture?
Plz help me giving brainliest
Answer:
A. 80
Step-by-step explanation:
Count the first top half and you get 40 and you will know the bottom half is 40
which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.
V= l*w*h
V= 5*4*4
V= 80
Hope this Helps! :)
Have a nice day! :)
i need help on this question please help
Answer:
The area of each figure is:
Area of the rectangle = 10 square units.Area of the triangle = 10 square units.Area of the figure = 20 square units.Step-by-step explanation:
To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:
Area of a rectangle = width * heightArea of a rectangle = 2 units * 5 unitsArea of a rectangle = 10 square unitsNow, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:
Area of a triangle = (base * height) / 2Area of a triangle = (4 units * 5 units) / 2Area of a triangle = (20 square units / 2Area of a triangle = 10 square unitsAnd we obtain the area of the whole figure when we add the two areas:
Area of the figure = area of the triangle + area of the rectangleArea of the figure = 10 square units + 10 square unitsArea of the figure = 20 square units.As you can see, the area of the picture is 20 square units.
To convert Celsius to F&nrenheit, multiply the Celsius temperature by 9/5 and
then add 32. The temperature outside is 5 degrees Celsius, what is the
temperature in degrees Fahrenheit?*
66 degrees
20 degrees
63 degrees
41 degrees
Answer:
41
Step-by-step explanation:
9/5 x 5 = 9
9 +32= 41
In order, range, median, mode and mean. Round the mean to the nearest tenth.
PLS HELP ASAP
Answer:
Range: 40
Median: 55
Mode: 72
Mean: 54.6
Step-by-step explanation:
First, let's put all of the numbers down.
32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72
Now, to find the range, subtract 72 - 32 = 40
To find the median, find the number in the middle
32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72
Because there are an even amount of numbers we will find the mean of those two numbers which would be 55.
To find the mode, look for the number that appears the most.
32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72
To find the mean, add everything up.
32, + 34, + 35, + 40, + 41, + 54, + 54, + 56, + 63, + 69, + 70, + 72, + 72, + 72 = 764
Then, divide. 764 ÷ 14 = 54.6 when rounded to the nearest tenth.
I hope that this helps, and you have a great day! :)
HELP PLS
The figure below has a point marked with a large dot.
First, translate the figure 8 units to the left.
Then, give the coordinates of the marked point in the original figure and the final figure.
Answer:
(1, -7) .................
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12
which triangle has angle measures of 40 , 50 , and 90?
Answer:
Definitely not the 2nd one. I think it is the first one, the 3rd one looks more like a 45, 45, 90
Plz help, its worth 200 points by today
Answer:
[tex]X = \sqrt{39}[/tex]
Step-by-step explanation:
[tex]1)\ X^2 + 5^2 = Y^2\ (Y\ is\ the\ hypotenuse\ of\ the\ smaller\ triangle)[/tex]
[tex]2)\ Y^2 + 6^2 = 10^2[/tex]
[tex]3)\ X^2 + 25 + 36 = 100[/tex]
[tex]4)\ X^2 = 39[/tex]
[tex]5)\ X = \sqrt{39}[/tex]
Answer:
X = [tex]\sqrt{39}[/tex]
Step-by-step explanation:
PLS HELP ITS TIMED TYSM!!!