a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of each face. The holes touch their neighbours at only one point. The cube has side 2. What is the diameter of each hole?​

Answers

Answer 1

Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

What is a Hemisphere?

A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.

Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.

Therefore, the diameter of a full sphere = side length of cube.

Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

Learn more about hemisphere on:

https://brainly.com/question/9280450


Related Questions

what is the range of the exponential function y=2^x plus 2?



A. Y<0
B. Y<-1
C. Y<-2
D. Y<-1 (Less than or equal to)

Answers

It’s A
Explanation: because it’s A

How is the sentence "9 less than x is –1" written as an equation?

Answers

Answer:

Must not have more than ONE "=" sign in an equation like this one.

9 is less than x is -1

I will take the liberty of deleting the first "is" and then write out the expression:

9 less than x is -1, or     x-9 = -1

Add 9 to both sides to determine the value of x:  x = 8 (answer)

Step-by-step explanation:

Answer: x-9=-1

(they deleted my answer 4 some reason : /)

Step-by-step explanation:

What is the area and perimeter? Show your work

Answers

Answer:

area = 6

perimeter = 12

Step-by-step explanation:

area:

1.8+3.2 = 5

5*2.4 = 12

12/2 = 6

perimeter:

3+4+1.8+3.2 = 12

Vocabulary Builder
Visualize It.......
Complete the bubble map using the review words.
Review Words
fraction
Videntity Property
of Multiplication
multiple
product
unit fraction
multiplication

Answers

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.

What is an equation?

An equation is an expression that is used to show the relationship between two or more numbers and variables.

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:

a * 1 = a

Find out more on equation at: https://brainly.com/question/2972832

A rectangular field is 120 meters long and 85 meters wide.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.

Answers

Answer:

Length: 200

Width: 5

Step-by-step explanation:

The perimeter of 120 and 85 is 410

The perimeter of 200 and 5 is 410

The area of 200 and 5 is 200 times 5 which is 1000

The area of 120 and 85 is 120 times 85 is 10200

-I hope this helps

I will mark the right answer brainliest

Answers

Answer:

∠TAN = 36°

Explanation:

The figure shows an isoceles triangle.

An isoceles triangle has two equal sides and equal angle measure.

The total interior angle of a triangle sum ups to 180°

∠TAN = ∠TNA

=========

∠TAN + ∠TNA + ∠ATN = 180°2∠TAN = 180° - 108°2∠TAN = 72°∠TAN = 36°

Answer:

B

Step-by-step explanation:

the sides of a regular pentagon are congruent , then

AT = NT and so Δ TAN is isosceles with base angles congruent , so

∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B

A bag contains 20 marbles: 5 blue, 8 green and 7 orange.Find the
probability of drawing a blue marble.

Answers

Answer: 25%

Step-by-step explanation: the probability of drawing blue=5/20

divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)

When buyers buy less of a good, the manufacturer may reduce the ______ of the good or cut back its ____

Answers

Answer:

Price/Cost

Step-by-step explanation:

They may reduce the cost due to the lack of people buying that product, or vice versa.

The equation to model Exponential Growth is: y=a(1+r)t y= total amount a= starting amount r= the growth rate as a decimal t= number of growth periods Question 4 A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours.

Answers

Answer:

[tex]y=30(1.5)^x[/tex]

where:

y = total amount of bacteria cellsx = number of hours

Step-by-step explanation:

Given exponential growth equation:

[tex]y=a(1+r)^t[/tex]

where:

y = total amounta = starting amount r = the growth rate as a decimal t = number of growth periods

If a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:

r = 50% = 0.5

If the starting amount of bacteria cells is 30 then:

a = 30

Therefore, the equation that can be used to determine the number of cells after x hours is:

[tex]y=30(1.5)^x[/tex]

where:

y = total amount of bacteria cellsx = number of hours

please can i have help answering the question in the picture

Answers

the answer is gonna be x+3/x-2

Hey there!

Answer: [tex] \Rightarrow \sf{\frac{x+3}{x -2}}[/tex]

[tex] \rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }[/tex]

[tex] \rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}[/tex]

Weir and Max put $75 in quarters and dimes in the box. There were 400 more dimes than quarters. How many coins of each type were there

Answers

Answer:

100 quarters = 2500 cents = $25

500 dimes = 5000 cents = $50

total = $75

Step-by-step explanation:

5. Determine the rotation around the origin that was performed to transform the preimage on the left to its image on the right.
Preimage
Image

A. R90°

B. R270°

C. R-270°

D. R-180°

Answers

Answer:

It was rotated D. -180 degrees

Step-by-step explanation:

the reason that it was -180 degrees is because when you look at the points, points A and B were perfectly flipped around and on the other side of (0,0)

Math homework pls help!!!!!

Answers

Answer:

z3 = 216      take the cube root of both sides

z = 6 cm  = the side length

it is 3 kilometers from Linda's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.

Answers

Answer:

1km=1000m... thats basically the answer so the nearest mail box is 3000M

Brian is the coach of the High School basketball team in Scooterville. His starting five players (Jason, Mike, Jim, Dave, and Frank) all vary in their speed, height, and shooting ability. Use the following information to answer the question(s).

- Mike and Jim are quicker and better shooters than Jason and Dave.

- No person is the best (e. G. , tallest, quickest, best shooter) at more than one category.

- One person was the worst (eg, shortest, slowest, and worst shooter) for all three categories

- Jason is the third tallest.

- Frank is the best shooter

- Jim is the second fastest.

- Jim is a better shooter than Mike.

Which player is the tallest?

Answers

From the given information, the tallest player is: Dave.

Who is a player?

In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.

We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.

Learn more about sports on https://brainly.com/question/3951300

What is the area of the following figure?
17.6 mm

Answers

Step-by-step explanation:

Area = (17.6)²mm²

=309.76 mm²

Please help me with this please and thank you

Answers

Answer:

12

Step-by-step explanation:

4x-3x

4*3=12

it is 12

The base of the sailboat is 9ft and the height is 15 what is the area??

Answers

A= 1/2 X base X height
a= 1/2 times 9 times 15 EQUALS TO 67.5
i hope this helps

A swimmer speeds up 1.9 m/s to 3.8 m/s during the last 11.0 seconds of the race. What is the acceleration of the swimmer?

Answers

Given :-

Initial speed (v) = 1.9m/s

Final speed (u) = 3.8m/s

Time (t) = 11 s

Formula Used :-

[tex]v = u + a×t [/tex](a = acceleration)

➾ [tex]a = {\frac{u-v}{t}}[/tex]

Solution:-

[tex]a = {\frac{u-v}{t}}[/tex] (putting the value of v, u and t from above)

➾ [tex]a = {\frac{3.8-1.9}{11}}[/tex]

➾ [tex]a = {\frac{1.9}{11}}[/tex]

➾ [tex]a = 0.17 m/s (approx.)[/tex]

Therefore, the acceleration rate = 0.17m/s.

Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).

Answers

The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

What is factored form?

The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.

We need to write the given expression [tex]9x^4y-6x^3y^2 + 3x^2y^3[/tex] in the factored form, therefore, we will take the common terms out of the given expression,

1. Taking 3 as the common term, we will get,

[tex]9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)[/tex]

2. Taking as the common term

[tex]= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\[/tex]

3. Taking y as the common term,

[tex]= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\[/tex]

Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

Learn more about Factored Form:

https://brainly.com/question/25094938

Jennifer has $65 to spend on pants and shirts. She buys a pair of pants for $25 and buys shirts that cost $11 each. What is the greatest number of shirts Jennifer can buy? Enter your answer in the box.

Answers

Answer:

3 pairs of shirts and one pair of pants

Step-by-step explanation:

$65-$25(for pants)=$40

$40/$11(how much one shirt cost)=3

Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank. ) A = 55°, a = 10. 1, b = 12. 3
Case 1
B
C
c
Case 2
B
C
c

A = 55°, a = 10. 1, b = 12. 3

Answers

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

What is sine rule?

Sine rule is used to show the relationship between the sides and angles of a triangle. It is given as:

a/sinA = b/sinB = c/sinC

Where A,B,C are the angles and a,b and c are the opposite sides to the angles.

1)

A = 55°, a = 10. 1, b = 12. 3

10 / sin(55) = 12.3 / sinB

B = 86.01°

A + B + C = 180° (angle in triangle)

55 + C + 86 = 180

C = 39

10 / sin(55) = c / sin(39)

c = 7.68

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

Find out more on sine rule at: https://brainly.com/question/4372174

Apply the distributive property to factor out the greatest common factor.
4+10=

Answers

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused

Answers

Answer:

$1200

Step-by-step explanation:

5% of $3000 = $150

multiply 8 by $150 = $1200

I need help please, WILL GIVE brainliest !!!

Answers

Answer:

Statements #1:  <L (congruent sign) <I

Statements #2: <H (congruent sign) <K

Statements #3: GH (congruent sign) MK

Reasons #2: given

Reasons #3: given

Reasons #4: angle angle side

5x+3y-11
What’s the answer ?.

Answers

Answer:

x=3y/5 + 11/5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable

x

I Don’t get this, someone help!!

Answers

Step-by-step explanation:

4)For answer of no 4

the third side can be gotten by pythagoras theorem;

It says,

hyp^2=opp^2 + adj^2

hyp= ?

opp=30

adj=40

so,

hyp^2=30^2 + 40^2

hyp^2=900+1600

hyp^2=2500

square rooting both sides,

hyp=50ft

Therefore the missing side is 50ft

5) for number 5

opp is missing

remember,

hyp^2=opp^2+adj^2

opp^2= hyp^2-adj^2

opp^2=41^2-40^2

opp^2=1681-1600

opp^2=81

square rooting both sides,

0pp=9Inches

find ml 2x+5 5x-4 Brainliest HURRY RN

Answers

Answer:

11

Step-by-step explanation:

5x + -4 = 2x + 5

-2x  +4   -2x  +4

3x = 9

x = 3

5(x) - 4 = ML

5(3) - 4 = ML

15 - 4 = ML

11 = ML

Can someone help me with this wuestion please

Answers

i think that the answer is £279.30.

to find the area of the shape you multiply 4.6 by 2.4 which is 11.04.
then you need to work out how many boxes you need by dividing the area by 0.8 which gives you 14 boxes.
you then multiply that by the price per box which was £19.95.
This gave me an answer of £279.30.

2. Triangle ABC is rotated around the origin. If vertex A transforms from A(-8,-10) to A (8, 10), which rotation was performed on the triangle?


Answers

Answer:

A. R180 degree rotation

Step-by-step explanation:

if you think about a graph, it has four quadrants, so imagine each of the quadtrants, being an add on of 90 degrees from the one you started on, so if you started in the double negative quatrant in the bottom left, it would take two quadrants to go in a circle to get to the full positive quadrant, making this, a 180 degree rotation

Other Questions
was the Columbian exchange bad, good or both?HURRY!!!! PLS A 1500kg car moving at a speed of 20.1m/s comes toa stop after travelling a distance of 200m. What was the average force exerted by the breaks on the car? In surveying , supposing we can not pull the tape because it is passing through a shallow river. What will i do to obtain an accurate distance? Select true/false for each of the following statements regarding copper & copper alloys:: (a) copper has a higher elastic modulus than aluminum. (b) the density of copper is closer to that of aluminum than it is to iron. (c) bronze is an alloy of copper and zinc. (d) copper and its alloys form a green tarnish over time, consisting of sulfides and carbonates. (e) copper is relatively resistant to corrosion by neutral and even mildly basic water, making it useful for freshwater plumbing applications. Describe the city of Baghdad from the 8th to 13th centuries. Help please! in humans, one of the genes determining color vision is located on the xchromosome. the dominant form (c) produces normal color vision; red-greencolor blindness (c) is recessive. if a man with normal color vision marries a color-blind woman, what is the probability of their having a color-blind son? a color-blind daughter? Identify the dependent clause.During the Revolutionary War, the British ship Serapis had to surrender to the French Bonhomme Richard even though the Bonhomme Richard was crippled. HI!! Please answer this! You install a mailbox by buriyng a post as shown. According to postal service guidelines, the bottom of the box must be at least 41 inches, but no more than 45 inches, above the road. Write two inequalities that describe the possible length x, in inches, of the post. 8. Triangle JKL is located at J(4,5) K17, 1) L(1,1). A transformation occurred and now thetriangle is located at J(-4,5) K(-7,3)L(-1, 1). What transformation occurred? How did the united states get involved in vietnam?. The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 27 more than the original number. Find the original number. Check your answer. The original number is 83. The original number is 47. The original number is 74. The original number is 38. You are paid $1380 for working 80 hours in two weeks at your full-time job. At this rate of pay, how much would you be paid if ypu worked 100 hours in a month Gregory is doing his experiment for the science fair. The above table shows the data he collected. Based on the table, what is the best description of what Gregory wanted to know? Gloria's grandmother gave her a quilt madeup of pieces that have the following dimensionsarea of the quilt piece.binThinsin What is the value of x in the equation 1/3x-2/3=-18?O -56O -52O 52O 56 Qu es la urea?(Si no sabes no Respondas) Draw a model of 1/3 2 show a pic of the math model you get brainliest to.. Please help! Its due today! Why do you think that people across the region practice many of the same customs? Which of the following is a right triangle?706030*249459 1289045/606055559Triangle ATriangle eTriangle CTriangle DA. Triangle CB. Triangle DC. Triangle AD. Triangle BSUBMIT