Anniston has a sink that is shaped like a half-sphere. plz help gets brainy

Anniston Has A Sink That Is Shaped Like A Half-sphere. Plz Help Gets Brainy

Answers

Answer 1

Answer:

Part A) [tex]167\ cups[/tex]

Part B) [tex]10\ cups[/tex]

Step-by-step explanation:

Part A)

we know that

The volume of the sink is

[tex]V=\frac{2,000}{3}\pi\ in^{3}[/tex]

step 1

Find the volume of the cylindrical cup

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=2/2=1\ in[/tex] ----> the radius is half the diameter

[tex]h=4\ in[/tex]

substitute the values

[tex]V=\pi (1)^{2} (4)[/tex]

[tex]V=4\pi\ in^{3}[/tex]

step 2

To find the number of cups of water, divide the total volume of the sink by the volume of the cylindrical cup

[tex](\frac{2,000}{3}\pi)/(4\pi)=\frac{2,000}{12}=166.67\ cups[/tex]

Round to the nearest whole number

[tex]167\ cups[/tex]

Part B)

we know that

The volume of the sink is

[tex]V=\frac{2,000}{3}\pi\ in^{3}[/tex]

step 1

Find the volume of the cylindrical cup

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

substitute the values

[tex]V=\pi (3)^{2} (8)[/tex]

[tex]V=72\pi\ in^{3}[/tex]

step 2

To find the number of cups of water, divide the total volume of the sink by the volume of the cylindrical cup

[tex](\frac{2,000}{3}\pi)/(72\pi)=\frac{2,000}{216}=9.26\ cups[/tex]

Round to the nearest whole number (Round up)

[tex]10\ cups[/tex]


Related Questions

Find the x and y intercepts 5x -2y =10

Answers

Answer:

x-int: (2, 0)y-int: (0, -5)

To find the x-intercept, substitute in 0 for y.

To find the y-intercept, substitute in 0 for x.

Hope this helps and hava great day!!

Answer:

x-intercept: (2,0)(2,0)

y-intercept: (0,−5)(0,-5)

Step-by-step explanation:

Write an equation of a line containing (2, 1) and (3, 4) in point-slope form.

Answers

Answer:

[tex]y-1=3(x-2)[/tex]

Or

[tex]y-4=3(x-3)[/tex]

Step-by-step explanation:

The slope formula is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line containing (2, 1) and (3, 4)  has slope;

[tex]m=\frac{4-1}{3-2}=3[/tex]

The point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the point and slope to get:

[tex]y-1=3(x-2)[/tex]

Or

[tex]y-4=3(x-3)[/tex]


For which equation would x = 5 be a solution?

4 x - 7 = 27
3 x + 6 = 21
12 - 2 x = 13
7 + 6 x = 27

Answers

Hi, it's me again!

Your answer would be B.

3x + 6 = 21

3(5) + 6

15 + 6

21 = 21

Answer:b is your best bet

Step-by-step explanation:

What is the length of segment TR?

_______ units

Answers

Answer:

8 units

Step-by-step explanation:

Using the perpendicular bisector theorem, if we know that TQ is 8 units, then RT must be 8 units as well.

Answer:

8

Step-by-step explanation:

Step 1: Find the length of segment TS (I will call this as y)

Method: Pythagoras

10² = y² + 8²

 = 100-64 = y²

y = square root of 36

y = 6

Step 2: Use the method of Pythagoras to find RT = (x)

10² = x² + 6²

x² = 100 - 36

x = 64 square root

x = 8

describe the cross section of the rectangular prism

Answers

Answer:

We can say that it is a Rectangle

Step-by-step explanation:

Based on the image shown we can see the following. The Blue section is a 2D figure. We can also see that the sides cover the same length and height as the rectangular prism that encompasses it. Therefore based on the information that we gathered we can say that the cross section (blue shaded area) is a rectangle.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The cross-section shown in a rectangular prism with the blue-shaded area is a rectangle.

Given that,

A rectangular prism with a cross-section is shown in the image.

Used the concept of rectangle which states that,

A rectangle is a two dimension figure with 4 sides, 4 corners, and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Now, by the given figure, the Blue section is a 2D figure.

And, the sides cover the same length and height as the rectangular prism

Hence, it shows a rectangle.

Therefore, the cross-section shown with the blue-shaded area in the figure is a rectangle.

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A jar of peanut butter contains 442 g with a standard deviation of 10.2 g find the probability that a jar contains less than 436 g assume a normal distribution

Answers

Answer:

7/34

Explanation:

442 subtract 10.2 is 431.8

436 subtract 431.8 is 4.2.

10.2 times two is 20.4.

4.2 out of 20.4 is 4.2/20.4

4.2/20.4 equals 7/34

What is the answer to
5(3p+4r)

Answers

You need the distributive propery so you do 5 times 3p and get 15p and then 5times 4r and get 20r so 15p plus 20r

Answer:

5(3p + 4r) = 15p + 20r

Step-by-step explanation:

[tex]5(3p+4r)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\=(5)(3p)+(5)(4r)=15p+20r[/tex]

math help! pls and ty ^-^

Answers

Answer:

the first question is B

and I am very sorry i don't know the second question

Answer:

C, B

Step-by-step explanation:

The interior angle of a regular polygon is:

θ = (n - 2) × 180° / n

So a pentagon with 5 sides has an interior angle of:

θ = (5 - 2) × 180° / 5

θ = 108°

If we draw a line from the bottom left corner to the center, we get a right triangle.  Using tangent, we can say:

tan (108°/2) = a / (7.6/2)

tan (54°) = a / 3.8

a = 3.8 tan (54°)

a = 5.2

Answer C

If the interior angle is 144, then the number of sides is:

144 = (n - 2) × 180 / n

144n = 180n - 360

360 = 36n

n = 10

Answer B.

Triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2) is dilated by a scale factor of 2 to obtain triangle L′M′N′. Which statement best describes triangle L′M′N′? It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4). It is congruent to triangle LMN and has coordinates L′(12, −16), M′(8, −8) and N′(−24, 4). It is similar to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1). It is congruent to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1).

Answers

ANSWER

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)

EXPLANATION

The given triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2).

If this triangle is dilated by a scale factor of 2 to obtain triangle L′M′N, then we use the rule:

[tex](x,y)\to (2x,2y)[/tex]

can be used to obtain the coordinates of

L′M′N.

[tex]L(6,-8)\to(2 \times 6,2 \times - 8)=L'(12,-16)[/tex]

[tex]M(4,-4)\to(2 \times 4,2 \times - 4)=M'(8,-8)[/tex]

[tex]N(-12,2)\to(2 \times -12,2 \times 2)=N'(-24,4)[/tex]

The cot choice is:

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)

Answer:

A

Step-by-step explanation:

Its the one that mostly makes sense

Identify the transformation performed in the figure below :

Answers

Answer:

Translation

Step-by-step explanation:

You just move the shape down

Answer:

Step-by-step explanation: translation.

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. In a translation, every point of the object must be moved in the same direction and for the same distance.

Drew earns $65 washing 5 dogs. At this rate, how much does Drew earn washing 3 dogs?

Answers

Answer:

39

Step-by-step explanation:

the answer is 39 because you do 65/5 which gives you 13 and then you multiply 13 by 3. pls mark as brainliest

Well if you divide 65 into 5 you’ll get 13, which tells you that he gets paid $13 per dog. Now if you multiple $13 with 3 I’ll be $39. So Drew gets earns $39 for washing 3 dogs.

Answer: $39

f. At Cleveland Middle School, 400 students come by bus and 300 walk or bike. Would you say it is more common for Cleveland students to ride the bus to school than for Pearson students? Explain your reasoning.​

Answers

Answer:

For cleveland Middle school we know that more students come by bus to school than bike or walking

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors. Chapter Reference b Ms. Rifkin asked all 16 teachers present at the camp to attend a teachers meeting. Find the number of students attending the camp that summer

Answers

The number of students attending the camp that summer is 380 students

Step-by-step explanation:

There are four counselors for every fifty seven students

There are three teachers for every five counselors

Ms. Rifkin asked all 16 teachers present at the camp to attend a

teachers meeting

To solve this question we will use the ratio

The given is:

1. 4 counselors for every 57 students

2. 3 teachers for every 5 counselors

3. There are 16 teachers

At first let us find the 16 teachers are for how many counselors

∵ 3 teachers : 5 counselors

∵ 16 teachers : x counselors

∴ [tex]\frac{3}{5}=\frac{16}{x}[/tex]

By using cross multiplication

∴ 3x = 16 × 5

∴ 3x = 80

Divide both side by 3

∴ x = [tex]\frac{80}{3}[/tex]

Then let us find the [tex]\frac{80}{3}[/tex] counselors are for how many students

∵ 4 counselors : 57 students

∵ [tex]\frac{80}{3}[/tex] counselors : y students

∴ [tex]\frac{4}{57}=\frac{80/3}{y}[/tex]

By using cross multiplication

∴ 4y = 57 × [tex]\frac{80}{3}[/tex]

∴ 4y = 1520

Divide both sides by 4

∴ y = 380 students

The number of students attending the camp that summer is 380 students

Learn more:

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What is the value of x?

Answers

Answer: 12

Step-by-step explanation:

You can use what is called geometric mean to solve this.

The hypotenuse of this triangle is split into two sections. One section corresponds to/equal to the altitude which is our "X", which corresponds to/equal to the second section.

You find "X" by using geometric mean and the proportion:

16/X=X/9

Then cross multiply to get 16 x 9= 144

then 144=x²

Solve for X.

X=12

What is the product? Assume x ≠ 0. 2x^2/3{6/x} 3x 4x 3x2 4x2

Answers

Answer:

4x

Step-by-step explanation:

The given product is;

[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]

This is the same as;

[tex]\frac{2x^2\times 6}{3\times x}[/tex]

We cancel out the common factors to obtain;

[tex]\frac{2x\times 2}{1\times 1}[/tex]

Multiply out to obtain;

[tex]\frac{4x}{1}[/tex]

Simplify

[tex]4x[/tex]

The second option is the correct choice.

Answer:

4x

Step-by-step explanation:

[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]

2x^2 can be written as 2*x*x

so the given expression becomes

[tex]\frac{2*x*x}{3}(\frac{6}{x})[/tex]

we cancel out x at the top and bottom

we know 6 divide by 3 is 2

[tex]\frac{2*x}{1}(\frac{2}{1})[/tex]

Now we multiply the numerator with numerator and denominator with denominator

4x

. A hawk flying at a height of 60 feet spots a rabbit on the ground. If the hawk dives at a speed of 55 feet per second, how
long will it take the hawk to reach the rabbit?
(Hint: A model for the vertical motion of a projected object is given by the equation h = -16t2 + vt + s, where h is the height
in feet, t is the time in seconds, v is the initial velocity in feet per second, and s is the starting height of the object in feet. Use
this equation to find the time taken by the hawk to reach the rabbit.

Answers

Answer:

The hawk reaches the rabbit at t=4.3 sec

Step-by-step explanation:

Let

h ----> is the height in feet

t ----> is the time in seconds

v ---> the initial velocity in feet pr second

s ----- is the starting height

we have

[tex]h=-16t^{2} +vt+s[/tex]

when the hawk reaches the rabbit the value of h is equal to zero

we have

[tex]v=55\ ft/sec[/tex]

[tex]s=60\ ft[/tex]

substitute

[tex]0=-16t^{2} +55t+60[/tex]

Solve the quadratic equation by graphing

The solution is t=4.3 sec

see the attached figure

Solve the system of linear equations using linear combination.

3a + 6b = 45

2a – 2b = –12

Which is the solution to the system?

Answers

ANSWER

(1,7)

EXPLANATION

The given equations are:

1st: 3a + 6b = 45

and

2nd:2a – 2b = –12

Multiply the second equation by 3,

3rd: 6a – 6b = –36

Add the first and third equations.

6a+3a+6b-6b=45+-36

Simplify,

9a=9

a=1

Put a=1 in the second equation:

2(1) – 2b = –12

-2b=-12-2

-2b=-14

b=7

What is the product of 2/8 and 3/5?

Answers

Multiply the top values together and the bottom values together.

(2/8)*(3/5)

=(2*3)/(8*5)

=6/40

=3/20

Hope this helps!

Answer:

3/20

Step-by-step explanation:

2    3

-- * --- = 6/40, or 3/20

8    5

You may find it easier to multiply if you write the multiplicands as shown above, instead of 2/8 and 3/5.  Then:  2 times 3 is 6, and 8 times 5 is 40.

Reduce 6/40 to 3/20, your final answer.

Synonyms and antonyms!

10 points!!!

Brainliest!!!

3, 4, and 5!

Super easy!!!

Answers

Answer:

3. relieve and alleviate (S)

4. loll and sprawl (S)

5. coax and cajole (S)

Hope this helps! :)

3 re·lieve

/rəˈlēv/

Learn to pronounce

verb

1.

cause (pain, distress, or difficulty) to become less severe or serious.

synonyms:alleviate, mitigate, assuage, allay, soothe, soften, palliate, appease, ease, dull, 

4 loll

/läl/

Learn to pronounce

verb

sit, lie, or stand in a lazy, relaxed way.

synonyms:lounge, sprawl, drape

5coax1

/kōks/

verb

gently and persistently persuade (someone) to do something.

synonyms:persuade, wheedle, cajole, talk into something, get round, prevail on, beguile, flatter, seduce, lure, entice, tempt, inveigle, woo, maneuver

Please help me, please!

Answers

Answer:

guess it's C

Step-by-step explanation:

The answer is D. There are three notebooks each weighing 1.2 pounds. If you multiply three by 1.2 it is 3.6. There are two textbooks each weighing 3.4 pounds. 2 multiplied by 3.4 equals 6.8. Therefore, if you add the weight if the textbooks (6.8) and the weight of the notebooks (3.6) it is 10.4. Therefore the answer is D. Not C.

evaluate the dot product of (8,4) and (-3,5)

Answers

ANSWER

[tex]<8,4> \bullet< - 3,5> = - 4[/tex]

EXPLANATION

The dot product of two vectors:

[tex] < a,b > [/tex]

and

[tex]< c,d> [/tex]

is

[tex] < a,b > \bullet< c,d> = ac + bd[/tex]

The given vectors are:

[tex]<8,4> [/tex]

and

[tex]< - 3,5> [/tex]

The dot product of these vectors is

[tex]<8,4> \bullet< - 3,5> = 8 \times - 3 + 4 \times 5[/tex]

[tex]<8,4> \bullet< - 3,5> = - 24 + 20[/tex]

[tex]<8,4> \bullet< - 3,5> = - 4[/tex]

Answer:

-4

Step-by-step explanation:

a p e x

what are the values of a and b number 8​

Answers

Answer:

[tex]\large\boxed{C.\ a=\dfrac{400}{21},\ b=\dfrac{580}{21}}[/tex]

Step-by-step explanation:

(LOOK AT THE PICTURE)

ΔABC, ΔDBA and ΔDAC are similar (AAA). Therefore the corresponding sides are in proportion:

[tex]\dfrac{AB}{AD}=\dfrac{AC}{DC}[/tex]

We have AB = b, AD = 20, AC = 29 and DC = 21. Substitute:

[tex]\dfrac{b}{20}=\dfrac{29}{21}[/tex]             cross multiply

[tex]21b=(20)(29)[/tex]

[tex]21b=580[/tex]           divide both sides by 21

[tex]b=\dfrac{580}{21}[/tex]

and in proportion:

[tex]\dfrac{BD}{AD}=\dfrac{AD}{DC}[/tex]

We have BD = a, AD = 20 and DC = 21. Substitute:

[tex]\dfrac{a}{20}=\dfrac{20}{21}[/tex]           cross multiply

[tex]21a=(20)(20)[/tex]

[tex]21a=400[/tex]   divide both sides by 21

[tex]a=\dfrac{400}{21}[/tex]

What is the measure of ∠ADC?

A) 42°

B) 47°

C) 121°

D) 131°

Answers

Answer:

D.131 Add both angles together 89+42=131

The answer is 131 you have to add the two angles together

Help please.Graphs . Thank you

Answers

Answer:

[tex]F(x)=x^2-5[/tex]

Step-by-step explanation:

The parent function is [tex]G(x)=x^2[/tex].

The function F(x) is obtained when G(x) is shifted down by 5 units.

Hence we rewrite F(x) in terms G(x).

[tex]F(x)=G(x)-6[/tex]

Therefore the required equation is;

[tex]F(x)=x^2-5[/tex]

50 POINTS PLEASE HELP

Answers

first simplify the numerator (x+3)(x-2)=x^2-2x+3x-6=x^2+x-6

now factor the numerator (x+3)(x-2)

now find the restriction 3x-6=0  3x=6  x=2

now factor the denominator 3(x-2)

((x+3)(x-2))/3(x-2)

now cross off the (x-2)

and you are left with (x+3)/3

ANSWERS:

The restriction is X=2

The simplified fraction is (x+3)/3

Answer:

First simplify the numerator (x+3) (x-2) = x^2 -2x + 3x - 6 = x^2 + x-6

now factor the numerator (x+3) (x-2)

now find the restriction 3x-6=0  3x=6  x=2

now factor the denominator 3(x-2)

(x+3)(x-2)/3(x-2)

now cross off the (x-2)

and you are left with (x+3)/3

The restriction is X=2

The simplified fraction is (x+3)/3

Help please I have a final literally tomorrow

Answers

Answer: Choice Dsin^2(x) + 1

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

Work Shown:

2sin^2(x) + cos^2(x)

2sin^2(x) + 1 - sin^2(x) .. see note below

[ 2sin^2(x) - sin^2(x) ] + 1

sin^2(x) + 1

note for step 2 above, I used the Pythagorean trig identity (or a slight variation of it) to replace cos^2(x) with 1-sin^2(x).

Can someone help me..............

Answers

Answer:

The fourth answer is the correct one.

Step-by-step explanation:

It cost $12 to download 3 videos, which works out to $4 per video.

Thus, k = $4/video.

The fourth answer is the correct one.

The proportional relationship is y = ($4/video)x, where x is the number of videos downloaded and $4 is the unit cost per video.

The radius of a circle is 10. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

Answers

Answer:

[tex]\frac{circumference\ }{diameter}=\pi[/tex]

Step-by-step explanation:

Given that radius of the circle = 10

Using π, we need to find about which equation expresses the ratio of the circumference of the circle to the circle's diameter.

diameter of the circle = 2(radius) = 2(10)=20

circumference of the circle = 2 π r = 2 π (10)  = 20 π

then ratio of the circumference of the circle to the circle's diameter is given by: [tex]\frac{circumference\ }{diameter}=\frac{20\pi}{20}=\pi[/tex].

Hence required equation is [tex]\frac{circumference\ }{diameter}=\pi[/tex]

please help
What is the area of this octagon?​

Answers

Answer:

See the graphic I made

Area of Section A = 4 *1 = 4 square centimeters

Section B = 4 * (3 + 4) = 28 sq cm

Section C = 3 * (2 + 3 + 4) = 27 sq cm

Total Area = 4 + 28 + 27 = 59 square centimeters

Step-by-step explanation:

Final answer:

To find the area of an octagon, you can use the formula 2 * (1 + √2) * s², where s is the length of one of the sides. If the area is given, you can solve for s and then use the formula to calculate the area.

Explanation:

The area of an octagon can be calculated using the formula:

Area = 2 * (1 + √2) * s²,

where s is the length of one of the sides of the octagon.

In this case, since the area is given as 0.4 m², we can solve for s.

0.4 = 2 * (1 + √2) * s²

Dividing both sides by 2 * (1 + √2) gives:

s² ≈ 0.2

Taking the square root of both sides, the length of one side is approximately 0.45 m.

To find the area, use the formula:

Area = 2 * (1 + √2) * (0.45)² ≈ 0.4 m²

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Anyone wanna do brainliest for brainliest ?

Answers

Thank you for giving me brainliest

Answer:

can i have brainliest please? i will do brainliest for brainliest please

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