2/3 divided by 5?If she walks 2/3 by another 5.

Answers

Answer 1

Answer:

The answer is 0.133

Step-by-step explanation:

All you have to do is take 2/3 as if it was a whole number and divide it by 5, or if you are able to use a calculator, you can just but it in as 2 divided by 3 and then divide 5 by whatever answer you get.

Answer 2

Answer:

Hello! 2/3 divided by 5 in fraction will be 2/15

Step-by-step explanation:

Since we have a 5 we need to change that into a fraction

5 would turn into 1/5

Now you have to multiply both of the fractions to get your answer.

2/3 x 1/5

= 2/15

(So 2/15 will be your answer.)

Hope this helps! :)


Related Questions

Please can someone help it will mean the world

Answers

Answer:

The solution is (2,5)

Step-by-step explanation:

The solution to the system of equations is where to the two graphs intersect

The two lines intersect at x=2 and y = 5

The solution is (2,5)

Answer:

Hey there!

The solution for a system of equations (simultaneous equations), is where the two lines intersect.

We see that the lines intersect at (2,5), making (2,5) the solution to the system of equations.

Let me know if this helps :)

Band uniforms cost 45 dollars each how many can i buy for 1000 dollars

Answers

Answer:

22

Step-by-step explanation:

Answer:

22 band uniforms

Step-by-step explanation:

Each band uniform costs $45, and you have $1000. We want to find how many band uniforms you can purchase.

Therefore, we can divide 1000 (total money) by 45 (cost of one band uniform)

1000/45

Divide

22.2222222

0.2222... , or a part, of a uniform cannot be purchased, so we must round down to the nearest whole number.

22

22 band uniforms can be purchased.

Real solution in this system of equations
BRAINLIEST WILL BE GIVEN

Answers

Answer:

A

Step-by-step explanation:

Firstly we find the x value. x-7=0; x=7

Secondly we introduce x value in 1st ecuation. So

(7-3)^2 +(y+1)^2=16, 16+y^2+2y+1=16,

Consider this ecuation: y^2+2y+1=0

y1=( -b+Δ)/ 2a, y2= (-b-√Δ)/2a, Δ=√b^2-4ac=√4-4=0

y1,2= -2/2= -1  

1 Real solution x=7 and y= -1.

Find mQPR. If mQPS=40,mRPS=8x+7,mQPR=9x+16

Answers

Answer: QPR = 25 degree

Explanation:

QPR + RPS = QPS

9x + 16 + 8x + 7 = 40

17x + 23 = 40

17x = 17

x = 1

Since QPR = 9x + 16

And x = 1

9(1) + 16 = 9 + 16 = 25

A circle has a radius of sqrt 45 units and is centered at (-2.4, -4.8) Write the equation of the circle

Answers

Answer:

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2

Where ( h,k) is the center and r is the radius

( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

What is the slope of the line?
3(y - 1) = 2x + 2​

Answers

Answer:

The slope is 2/3

Answer:

2/3

Step-by-step explanation:

This is written in point slope form

y - y1 = m(x-x1)

3(y - 1) = 2x + 2​

Divide each side by 3

(y - 1) = 1/3(2x + 2)

Factor out a 2

(y - 1) = 2/3(x -  -1)

​​The slope is 2/3

Which statement about this figure is true? Pls give an explanation

Answers

Answer:

The correct option is;

It has no reflectional symmetry

Step-by-step explanation:

Reflectional symmetry is one such that a line can be drawn across a shape or figure and the shape or figure on either side of the line is the equivalent of the reflection image obtained from a mirror

Lines of reflectional symmetry can be found in squares, circles, and triangles

The characteristics of the object that has line of reflection symmetry remains the same across the line of symmetry

Two dimensional objects have lines of symmetry while three dimensional objects have planes of symmetry.

Lupe va al mercado y compra abarrotes con los 2/5 de su dinero ; luego va a la seccion de carnes y compra con los 3/3 de lo que le queda ; si gasta 3 soles en pasaje de ida y vuelta ; ¿con cuanto dinero salio de su casa si llega de regreso a su casa con 48 soles?

Answers

Answer:

Cantidad que Lupe dejó en casa con inicialmente = 127.5 soles.

Amount that Lupe left home with initially = 127.5 soles.

Step-by-step explanation:

Pregunta correcta

Lupe va al mercado y compra abarrotes con los 2/5 de su dinero ; luego va a la seccion de carnes y compra con los 1/3 de lo que le queda ; si gasta 3 soles en pasaje de ida y vuelta ; ¿con cuanto dinero salio de su casa si llega de regreso a su casa con 48 soles?

Solución

Deje que la cantidad de dinero que Lupe dejó en casa sea x soles.

Lupe compra comestibles con 2/5 de su dinero. Es decir, Lupe gasta (2/5) × x = (2x/5)

En este punto, Lupe se queda con

x - (2x/5) = (3x/5) soles.

Lupe luego gasta 1/3 de lo que queda en la carne

(1/3) de lo que queda = (1/3) × (3x/5) = (x/5)

Lo que significa que Lupe gasta (x/5) soles en la sección de carne.

Cantidad restante después de la sección de carne = (3x/5) - (x/5) = (2x/5)

Lupe gasta 3 soles en el viaje de ida y vuelta al mercado y se queda con 47 soles después de todo.

(2x/5) - 3 = 48

(2x/5) = 48 + 3 = 51

2x = 5 × 51 = 255

2x = 255

x = (255/2) = 127.5 soles

¡¡¡Espero que esto ayude!!!

English Translation

Lupe goes to the market and buys groceries with 2/5 of her money; then he goes to the meat section and buys with 1/3 of what he has left; if you spend 3 soles on a round trip ticket; How much money did you leave your home with if you arrive home with 48 soles?

Solution

Let the amount of money Lupe left home with be x soles.

Lupe buys groceries with 2/5 of her money

That is, Lupe spends (2/5) × x = (2x/5)

At this point, Lupe is left with

x - (2x/5) = (3x/5) soles.

Lupe then spends 1/3 of what is left on meat

(1/3) of what is left = (1/3) × (3x/5) = (x/5)

Meaning that Lupe spends (x/5) soles at the meat section.

Amount left after the meat section = (3x/5) - (x/5) = (2x/5)

Lupe spends 3 soles on round ticket trip to market and is left with 47 soles after everything.

(2x/5) - 3 = 48

(2x/5) = 48 + 3 = 51

2x = 5 × 51 = 255

2x = 255

x = (255/2) = 127.5 soles

Hope this Helps!!!

How much did Angelo pay for his online purchase

Answers

Answer:

Step-by-step explanation:

please include a picture of the question! :)

What the correct answer do not want the wrong answer please

Answers

Answer:

388.5yd²

Step-by-step explanation:

We have Triangle TUV

In the question, we are given already

Angle U = 32°

Angle T = 38°

Angle V = ???

Side t = 31yd

Side u = ?

Side v = ?

Area of the triangle= ?

Step 1

We find the third angle = Angle V

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (32 + 38)°

= 180° - 70°

Angle V = 110°

Step 2

Find the sides u and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle TUV

t/ sin T = u/ sin U = v/ sin V

We have the following values

Angle T = 38°

Angle U = 32°

Angle V = 110°

We are given side t = 31y

Finding side u

u/ sin U= t/ sin T

u/sin 32 = 31/sin 38

Cross Multiply

sin 32 × 31 = u × sin 38

u = sin 32 × 31/sin 38

u = 26.68268yd

u = 26.68yd

Finding side x

v / sin V= t/ sin T

v/ sin 110 = 31/sin 38

Cross Multiply

sin 110 × 31 = v × sin 38

v = sin 110 × 31/sin 38

v = 47.31573yd

v = 47.32yd

To find the area of triangle TUV

We use heron formula

= √s(s - t) (s - u) (s - v)

Where S = t + u + v/ 2

s = (31 + 26.68 + 47.32)/2

s = 52.5

Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)

Area of the triangle = √150967.6032

Area of the triangle = 388.5454973359yd²

Approximately to the nearest tenth =388.5yd²

A twelve-foot ladder is leaning against a wall. If the ladder reaches ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*

Answers

This question is incomplete.

Complete Question

A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*

Answer:

42°

Step-by-step explanation:

From the question, the diagram that is formed is a right angle triangle.

To solve for this, we would be using the trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse

From the question, we are told that:

12 foot ladder is leaning against a wall = Hypotenuse

The ladder reaches 8ft high on the wall = Opposite side.

Hence,

sin θ = 8ft/12ft

θ = arc sin (8ft/12ft)

= 41.810314896

Approximately to the nearest degree

θ = 42°

Therefore, the angle the ladder forms with the ground to the nearest degree is 42°

Am I the only person that is having problems with seeing answers?

Answers

Answer:

Been having issues all night

Answer:

Step-by-step explanation: no

compare -1/6 and -2/3

Answers

Answer:

-1/6=-0.166

-2/3=-0.66

Step-by-step explanation:

-by looking carefully you will notice that . which number is greater and smaller.

Answer:

-1/6 is greater than -2/3

Step-by-step explanation:

The freezing point of water is
0

C
0

C0, degrees, start text, C, end text. Scientists use positive numbers to show temperatures above the freezing point of water and negative numbers to show temperatures below the freezing point of water.
Jess stores her bacteria samples at
4

C
4

C4, degrees, start text, C, end text.
What does
4

C
4

C4, degrees, start text, C, end text mean in this situation?


Answers

Step-by-step explanation:

the freezing point of water is 0c...

0c is as positive value but this is also considered as also in negative so it is not fixed but after a experiment it shows that 0c

Answer:

Mia's iced coffee is 4^\circ\text{C}4  

C4, degrees, start text, C, end text below the freezing point of water.

Step-by-step explanation:

Please help me with

Answers

Answer:

[tex]\boxed{\frac{1}{2} }[/tex]

Step-by-step explanation:

Let the assistants be x

Condition:

Ratio is also "division"

So,

[tex]\frac{x}{players} = \frac{1}{6}[/tex]

=> Where players = 36

=> [tex]\frac{x}{36} = \frac{1}{6}[/tex]

Multiplying both sides by 36

=> x = 6

So,

Assistants = 6

Ratio of coaches to assistants = 3 : 6

=> 1 : 2

In Fraction form

=> [tex]\frac{1}{2}[/tex]

F) 1/2

Because no. of players= 36

Since ratio of team assistant to players is 1:6

Let no of assistant be X

X/36 = 1/6

X= 6

No of assistant= 6

Ratio of coach to assistant= 3/6=1/6

= 1:6

what is the expression in radical form (2m^2n)^3/2

Answers

Answer:

sqrt[(2m^2n)^3]

Step-by-step explanation:

So let's break down the exponent.  The top number represents the number of times the term is repeated.  The bottom number represents the root to be taken of the final product.  With this in mind, let's rewrite this expression.

(2m^2n)^3/2

= [(2m^2n)^3]^1/2

Notice we have 3 of the (2m^2n) terms, but they are all under the 2nd root (aka a square root).

So now, we'll rewrite this into the radical form.

sqrt[(2m^2n)^3]

I hope this helps.

Cheers.

? Given: All US area codes are three-digit numbers that use the numerals 0 to 9. Step 2: How many area-codes are possible if the first digit can't be zero and no digit can be repeated? Use your keyboard and the keypad to enter your answer. Then click Done.

Answers

Answer:  648

Explanation:

For the first slot, we have 9 digits to choose from (1 through 9).

Whatever we pick for the first choice, we have 9 choices left for the second slot. Say we picked 2 for the first slot. That means we have {0,1,X,3,4,5,6,7,8,9} to choose from. I used X to indicate we can't pick that digit any more. You'll see there are 9 items in that list.

Then for the third slot, we had 8 choices to pick from

Overall we have 9*9*8 = 81*8 = 648 different area codes possible where the first digit cannot be zero.

if 1 gallon of water is added to 6 quarts of a mixture of alcohol and water that is 50% alcohol, what percent alcohol is the resulting mixture?

Will mark brainlist

Answers

Answer:

The percentage of alcohol in the resulting mixture is 30%

Step-by-step explanation:

The equation given are;

Volume of added water = 1 gallon = 3.79 litres = 4 quarts

Volume of mixture of alcohol = 6 quarts = 5.68 litres

Concentration of the alcohol in 6 quarts = 50%

Given that the mixture of alcohol and water is 50% alcohol and 50% water, we  have;

Volume of 100% alcohol in 5.68 liters = 0.5× 5.68 = 2.84 litres = 3 quartz

Total volume of the final solution = 5.68 + 3.78 = 9.46 litres = 10 quarts

Percentage by volume of 100% alcohol in total volume of the resultant solution = 3 quarts/((4 + 6) quarts) × 100 = 3/10 × 100 = 30%

The percentage of alcohol in the resulting mixture = 30%.

which of the binomials below is a factor of this trinomial? x^2 + 5x - 36 A. x - 5 B. x - 9 C. x + 9 D. x^2 + 5

Answers

Answer:  C. x+9

===============================================

Explanation:

Think of two numbers that multiply to -36 and also add to 5. Put another way: think of two factors of -36 that add to 5.

Those two numbers are 9 and -4 since

9 times -4 = -36

9 plus -4 = 5

So we have x^2 + 5x - 36 factor into (x+9)(x-4)

x+9 is one factor

x-4 is the other factor

-------

Alternatively, you can use a graphing tool to locate the x intercepts, and that will in turn lead to the factorization. Or you could use the quadratic formula to get the job done. Completing the square is yet another tool to use. So there are multiple approaches.

Find the values for which the statement is true and mark them on the number line: |x|=x

Answers

Answer:

x ≥ 0

Step-by-step explanation:

The absolute value of something will always be the same number if the number is positive. Therefore, the values of x which make this true are x ≥ 0.

ASAP! PLEASE help me with this question! I am really stuckk...

Answers

Answer:

8 pi cm^2

Step-by-step explanation:

To answer this question, what we need firstly is the name of the cross section that results from slicing a sphere into half.

The cross section that results is called a hemisphere, which is half the size of the sphere.

But before we can calculate the area of the new cross section, we will need the radius of the original shape.

This is obtainable from the volume of the shape.

Mathematically;

Volume of a sphere = 4/3 * pi * r^3

32/3 * pi = 4/3 * pi * r^3

We can take off pi/3 from both sides so we are left with;

32 = 4r^3

Divide through by 4

r^3 = 8

r is the cube root of 8 = 2 cm

Now we find the area of the hemisphere

Mathematically, the area of a hemisphere is 2 * pi * r^2

using the value of r = 2 cm given above, we have

Hemisphere area = 2 * pi * 2^2 = 8pi cm^2

A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base. The cross section can be which of these shapes? Select three options. square triangle trapezoid circle non-square rectangle

Answers

Answer:

i. square

ii. triangle

iii. trapezoid

Step-by-step explanation:

A cross section of a figure or shape can be produced by cutting a slice through the figure.

From the given question, since the angle of intersection of the planes could either be parallel or perpendicular to the base, the cross section could either be a square, a triangle or a trapezoid.

A square is generated when the angle is parallel to the base, a triangle could also be produced when the angle is perpendicular to the base, and a  trapezoid is formed when the angle is perpendicular to the base.

Answer:

A, B, C

Step-by-step explanation:

EDGE 2020

Pam works as an office administrator. She spends $7500 of her income on personal expenses each year. If this represents 18% of her salary, how much money does Pam earn in one year? Round your answer to the nearest whole dollar.

Answers

Answer: Pam earns $41,667 in one year.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Pam's salary (x) multiplied by the percentage represented by expenses (18%) in decimal form (divided by 100) must be equal to $7500.

Mathematically speaking:

x (18/100) = 7500

Solving for x:

x (0.18) = 7500

x = 7500/0.18

x = 41,667

Pam earns $41,667 in one year.

Feel free to ask for more if needed or if you did not understand something.

Two factory plants are making TV panels. Yesterday, Plant A produced 5000 fewer panels than Plant B did. Five percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 450 defective panels

Answers

Answer:

10,000 panels

Step-by-step explanation:

A TV panel is being produced by two factory plants

Plant A produced 5000 fewer panels than plant B

Let a represent the number of panels produced by plant A and b represent the number of panels produced by plant B

a= b-5000............equation 1

5% of the panels from plant A were defective

= 5/100

= 0.05

2% of the panels from plant B were defective

= 2/100

= 0.02

The total defective panels of both plants is 450

0.05a + 0.02b= 450..............equation 2

Substitute b-5000 for a in equation 2

0.05(b-5000) + 0.02b= 450

0.05b - 250 + 0.02b= 450

Collect the like terms

0.05b+0.02b= 450+250

0.07b= 700

Divide both side by the coefficient of b which is 0.07

0.07 b/0.07= 700/0.07

b= 10,000

Hence plant B produced 10,000 panels

Alicia Keys's new album As I Am is climbing the charts, and the manager of Tip Top Tunes expects to sell a lot of copies. Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold. On Tuesday morning, she counted the number of copies left and then added that many more to the shelf. In other words, she doubled the number that was left in the display. At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday. On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday. Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty. How many copies of the As I Am CD did she sell each day?

Answers

Answer:

About 4.44

Step-by-step explanation:

Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:

40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.

40-x+x= x + 2x + 3 (2x)

40 = 3x + 3 (2x)

40 = 3x + 6x

40= 9x

40/9 = 9x/9

x= 4.44

Note: 2x represents doubling up the sales amount, which was left.

3x represents tripling the sales amount left.

What is the value of discontinuity of x^2+8x+4/x^2-x-6? Choices:

Answers

Answer:

-2

Step-by-step explanation:

Hello,

First of all, let's check the denominator.

[tex]x^2-x-6 \ \ \text{ *** How to factorise it ...? ***}\\\\\text{*** The product of the roots is -6=-2*3 and their sum is 1 ***}\\\\x^2-x-6=x^2-3x+2x-6=x(x-3)+2(x-3)=(x+2)(x-3)[/tex]

Now, let's see the numerator.

[tex]x^2+8x+4 \ \text{ *** -2 is not a zero as ***}\\\\(-2)^2+8*(-2)+4=4-16+8=-4\\\\\text{*** 3 is not a zero as ***}\\\\3^2+8*3+4=9+24+4=37\\[/tex]

So we cannot factorise the numerator with (x+2) or (x-3)

Then, -2 and 3 are the the discontinuities of the expression.

There is only -2 in the list, this is the correct answer.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Simplify csc θ + cot θ

Answers

Answer:

csc θ + cot θ

From trigonometric identities

[tex] \csc(θ) = \frac{1}{ \sin(θ) } [/tex]

And

[tex] \cot(θ) = \frac{ \cos(θ) }{ \sin(θ) } [/tex]

So we have

[tex] \frac{1}{ \sin(θ) } + \frac{ \cos(θ) }{ \sin(θ) } [/tex]

Find the LCM

The LCM is sin θ

So we have

[tex] \frac{1}{ \sin(θ) } + \frac{ \cos(θ) }{ \sin(θ) } = \frac{1 + \cos(θ) }{ \sin(θ) } [/tex]

And

[tex] \frac{1 + \cos(θ) }{ \sin(θ) } = \cot( \frac{θ}{2} ) [/tex]

So we have the final answer as

[tex] \cot( \frac{θ}{2} ) [/tex]

Hope this helps you

Solve by the quadratic formula: 3x^2 - 4x + 1 = 0

Answers

Answer:

x = 1/3 and x = 1.

Step-by-step explanation:

3x^2 - 4x + 1 = 0

(3x - 1)(x - 1) = 0

The solutions are when either 3x - 1 = 0 or x - 1 = 0.

3x - 1 = 0

3x = 1

x = 1/3

x - 1 = 0

x = 1

So, x = 1/3 and x = 1.

Hope this helps!

x: 13, 17, 21, 25 y: 0, 6, 12, 18 is the relationship linear, exponential or neither

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

Linear

▹ Step-by-Step Explanation

As x increases by 4, y increases by 6.

13 + 4 = 17

17 + 4 = 21

21 + 4 = 25

0 + 6 = 6

6 + 6 = 12

12 + 6 = 18

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the GRAPHS AND FUNCTIONS.

This here, from the graph we can see that it's a EXPONENTIAL GROWTH.

Thus the relationship is Exponential.


A box contains 5 blue, 4 red, and 3 yellow marbles. Two marbles are randomly drawn and not replaced. What is the probability of drawing a blue then a red marble?

Answers

Answer:

5/33

Step-by-step explanation:

5/12 * 4/11 = 20/132 = 10/66 = 5/33

Other Questions
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are choise 13,14 13,14,15 15,16,17 16,17 Can someone help with this.... thanks! Solve: 3/4y -2 = 6 - 1/4y If one DNA strand is 5'-GGCATTACACTAGGCCT-3', what is the complementary srand? Find the value of x if 12x=34^2 - 26^2 In a hydrogen ion pump, the energy is used to join small molecules together to make larger ones. Which factor most likely has the greatest effect on the number of molecules mitochondria can produce? Before Madame Loisel realizes the necklace was a fake, she smiled withproud and simple joy." Why do you think Madame Loisel felt pride about thehard work she did to replace the necklace? How do you think she felt after shefound out the truth? Write a few sentences.Please help I need to graduate!! Describe the qualities of a lamb. Can you think of a person in you life who is as gentle and innocent as a lamb.Give reasons and explain in few sentences. ANSWER NEEDED ASAP!According to the table below, what is the probability that the age of a student chosen at random will be 15 or younger?A) 0.74B) 0.59C) 0.56D) 0.54 PLEASE HELP!!!! I WILL GIVE BRAINLIEST AND LOTS OF POINTS!!! Please provide an explanation and answer only if you know the answer for sure. In the following diagram, BC is parallel to DE. What is the measure of angle ? **Angles are not necessarily drawn to scale.** In a recent year Sunland Company had net income of $360000, interest expense of $72000, and a times interest earned of 10. What was Sunland Companys income before taxes for the year? $792000 $720000 $648000 None of these answer choices are correct. Q 9.28: Prepare the journal entry if Bench Company purchases a delivery van for $22,175 with related expenditures of sales taxes $443, painting $225, vehicle license $210, and accident insurance $875. Which statement best describes an effect of the baby boom generation today? 1-The US population is becoming more diverse. 2-The US population is becoming older. 3-The US population is becoming younger. 4-The US population is becoming healthier. Suppose a point charge is located at the center of a spherical surface. The electric field at the surface of the sphere and the total flux through the sphere are determined. Now the radius of the sphere is halved. What happens to the flux through the sphere and the magnitude of the electric field at the surface of the sphere A salesperson earns 6% commission on $25,000. How muchcommission was earned? whats 1,112,433 rounded to nearest ten thousand Natural killer (NK) cells __________. Natural killer (NK) cells __________. engage in immunological surveillance recognize and kill cancer cells cause abnormal cells to undergo lysis NK cells perform all of these roles. In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture. A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture this umbrella. (Hint: an umbrella will have no base) A cone has a volume of 150 cm3 and a base with an area of 12 cm2. What is the height of the cone? Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible. A winter recreational rental company is fencing in a new storage area. They have two options. They can set it up at the back corner of the property and fence it in on four sides. Or, they can attach it to the back of their building and fence it in on three sides. The rental company has decided that the storage area needs to be 100 m2 if it is in the back corner or 98 m2 if it is attached to the back of the building. Determine the optimal design for each situation. Which one doesnt belong? Why? Explain. 9. A open-sea diver dove down 42 ft. to harvest sponges. After rising 28 ft. how far was the diver fromthe surface? (Hint: Drawing a diagram may help you answer this.)