Semicircle M has a radius of 15 inches. If an ant walks from A to B directly along diameter AB and a beetle
walks from A to B around ACB. how much farther, to the nearest tenth of an inch, does the beetle walk?

(1) 17.1
(2) 32.1
(3) 64.2
(4) 79.2​

Answers

Answer 1

Answer:

A,17.1 in

Step-by-step explanation:

circumference of sphere=2πr

Beetle walks=πr=π×15=15π=15×3.14≈47.1 in

Ant walks=d=2r=2×15=30

difference=47.1-30=17.1 in


Related Questions

The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation f = StartFraction 9 Over 5 EndFraction c + 32. Which statement best describes the relation (c, f)?
A. It is a function because –40°C is paired with –40°F.
B. It is a function because every Celsius temperature is associated with only one
Fahrenheit temperature.
C. It is not a function because 0°C is not paired with 0°F.
D. It is not a function because some Celsius temperatures cannot be associated with
a Fahrenheit temperature.

Answers

Answer:

B

Step-by-step explanation:

This is the answer because a function cannot have an x-value that produces more than one y-value.

The equation is in slope-intercept form (y = mx + b), where F is y and C is x.

Each cube inside the rectangular prism has no edge length of 3/4 inch what is the volume of the rectangular prism

Answers

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Answer:

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Step-by-step explanation:

To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?

Answers

The amount of water is double in comparison to the amount of vegetables.

Answer:

1x16

Ste divided by 16 p-by-step explanation:

In the diagram shown, m <AOC =124 and OA=10 cm. Which of the following is closest to the length of
arc ABC?

(1) 20.6
(2) 21.6
(3) 40.4
(4) 41.2

Answers

Answer:

(2) 21.6

Step-by-step explanation:

The segment OA is the radius of the circle

The arc of the complete circle is equivalent to its perimeter

perimeter = 2*π*radius = 2*π*10 = 62.83 cm

This arc is proportional to 360°. So, for 124°:

360°/124° = 62.83 cm/ x cm

x = 124*62.83/360

x = 21.6 cm


What is the area of this triangle?


units^2​

Answers

Answer:6

Step-by-step explanation:

The base is 3 and the height is 4

3*4/2 = 6

Answer:

6 units^2

Step-by-step explanation:

The base (segment DE) is 3 units.

The height is 4 units. (From point F going horizontally until it intersects segment DE)

Formula for area of a triangle: (1/2)BH

(1/2)(3)(4) = (1/2)12 = 6

45x^7 divided by 9x^2

Answers

Answer:

5x^5

Step-by-step explanation:

45x^7 ÷ 9x^2=45÷9 × x^7÷x^2= 5x^5

The right answer is 5x^5

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Which expression is an equivalent expression of 12x + 10 + 4y?

A.
2(6x + 2y + 6)
B.
3(4x + y + 10)
C.
2(6x + 4y + 8)
D.
2(6x + 5 + 2y)

Answers

Answer: D

Step-by-step explanation:

Answer:

2( 6x+5+2y)

Step-by-step explanation:

12x + 10 + 4y

Factor out a 2

2*6x + 2*5 + 2*2y

2( 6x+5+2y)

25 POINTS!!!!Which of the following statements are true? Select all that apply.

A + B = B + A
C - D = D - C
B + 0 = B
E - C = E + (-C)
|A| = |E|

Answers

Answer:

A+B=B+A

B+0=B

E-C=E+(-C)

Step-by-step explanation:

Answer:

A) A+B = B+A

C) B+0= B

D) E-C= E+(-C)

Step-by-step explanation:

What is 1½ ÷ ⅜ plllllllllllzzzzz help!

Answers

Answer:

4

Step-by-step explanation:

1 1/2 ÷ 3/8

Change to an improper fraction

3/2 ÷ 3/8

Copy dot flip

3/2 * 8/3

Cancel like terms

8/2

4

Answer:

4

Step-by-step explanation:

all work is in the image below!

Factor the numerator and denominator and cancel the common factors.

QI - The sum of the distance of a moving
point from the points (c,0) and (-c,0) is
always 2a units. Find the equation to the locus
of the moving point.​

Answers

Answer:

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Step-by-step explanation:

Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:

PA + PB = 2a

PA = 2a - PB

PA² = 4a² + PB² – 4a ∙ PB

PA² – PB² = 4a² – 4a ∙ PB

[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB

-4hc = 4a² – 4a∙PB

a ∙ PB = a² + hc

Taking square

a² ∙ PB² = (a² + hc)²

a² [(h + c)² + (k - 0)²] = (a² + hc)²

a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²

a²h² – h²c² + a²k² = a⁴ – a²c²

(a² – c²)h² + a²k² = a² (a² – c²)

h²/a² + k²/(a² – c²) = 1

Therefore, the required equation to the locus of P is

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Can someone help me out with this?

Answers

9) obtuse 10) isosceles

I just need answer. Pls

Answers

Answer:

Step-by-step explanation:

In the diagram shown,
ABCE is a trapezium,
AD is parallel to BC,
DE = 4cm,
Area of ABCE = 60cm^2,
Area of ABCD = 48cm^2,
Work out the values of f and g.
You must show all your working.

Answers

The values of f and g are;

f = 6

f = 6g = 8

We are given the trapezium ABCE where;

AD is parallel to BC

DE = 4 cm

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

f and g are sides of the rectangle ABCD. Thus;

fg = 48 - - - (eq 1)

Also,for the trapezium ABCE;

½(g + g + 4)f = 60

(2g + 4)f = 120 - - - (eq 2)

From eq 1, f = 48/g

Thus;

(2g + 4) × (48/g) = 120

96 + 192/g = 120

192/g = 120 - 96

192/g = 24

g = 192/24

g = 8

Thus;

8f = 48

f = 48/8

f = 6

Read more at;https://brainly.com/question/14742279

Write (6p)^2 without exponents

Answers

(6p) * (6p)


Is without exponents

(02.07 LC)
Which relationship is always correct for the angles x, y, and z of triangle ABC?
A
x
C
Ox+ z = y
Oy + z = x
O x + y + z = 180 degrees
Ox + y + z = 90 degrees

Answers

Answer:

Ox+y+z=180

Step-by-step explanation:

The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

We know that a triangle has three angles.

Let x, y and z be the three angles of the given triangle.

We know that, the interior angles of a triangle sum up to 180°.

The given three angles are x, y and z.

So, x + y + z = 180°

Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.

To learn more about Triangles, click on the link given :

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A falling object travels a distance given by the formula d= 3t + 3t ^2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 50 feet?

Answers

Answer:

3.61 sec

Step-by-step explanation:

Set the given d= 3t + 3t ^2 equal to 50 and solve for t:

3t^2 + 3t - 50 = 0

This is a quadratic equation with coefficients 3, 3 and -50.  The discriminant is b^2 - 4ac, or 3^2 - 4(3)(-50), or 9 + 600 = 609

The roots of this quadratic are therefore:

     -(3) ± √609           -3 ± 24.68           21.68

t = --------------------  =  -------------------  =  ----------- = 3.61 sec

           2(3)                           6                     6

Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x, and the amount of twine, y, in feet she uses is shown in the graph. What does the point (3, 7.5) represent in a graph?

Answers

Answer:

She uses 7.5 feet of twine to make 3 bundles of wood.

HELP PLEASE I NEED HELPPPP
What is the sign of....

a x (-b/b)
when a =0 and b<0

A. positive
B. negative
C. zero

THIS IS ON KHAN ACADEMY AND I DONT GET IT IF U ANSWER ILL GIVE YOU BRANLIEST AND 100 points PLEASE JUST HELP MEH

Answers

Answer:

C. zero

Step-by-step explanation:

a * (-b/b)

-b/b = -1

a* -1

If a = 0 then

0 * -1 = 0

Answer:

0

Step-by-step explanation:

pls give brainliest

QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.

Answers

Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

Answer

x= 4.75       y=-22

Step-by-step explanation:

got it right on the unit test!!

Find the slope of the line. please. help.

Answers

Answer:  the slope is up 1 and to the right 2, or if your going the opposite direction it would be down 1 and to the left 2

Answer:

1/2

Step-by-step explanation:

Slope is change in y over change in x.  The change in Y is 2.5 - 1= 1.5 .The change in X is 1 - (-2)= 3 .  Therefore, the slope is 1.5/3 which simplifies to 1/2

Please Do 3 for 5 points.

Answers

Answer:

44, 46, and 48

Step-by-step explanation:

add them and you should get 138.

In science class, Scott estimates the mass of a sample to be 109 grams. The actual mass of
the sample is 104 grams. Find the percent error of Scott's estimate. Round your answer to
the nearest tenth.

Answers

Answer:

Percent of error = 4.80% (Approx)

Step-by-step explanation:

Given:

Mass of sample = 109 gram

Actual mass of sample = 104 gram

Find:

Percent of error.

Computation:

Error = Mass of sample - Actual mass of sample

Error = 109 gram - 104 gram

Error =5 gram

Percent of error = (Error / Actual mass of sample)100

Percent of error = (5 / 104)100

Percent of error = 4.80% (Approx)

what is the y-intercept of f(x)= -x^2÷1 +4​

Answers

Answer:

(0, 4)

Step-by-step explanation:

Just set x = 0 and find y = f(x):

f(0) = [-(0)^2]÷1 +4  =  0÷1 + 4 = 4

The y-intercept is (0, 4)

Need Help ASAP will give brainliest!!!

Answers

Answer:

216 ft²

Step-by-step explanation:

For this question, first find the area of the outsides of the square walls.

Since the cube has side lengths of 6, we can simply find the area of each wall. Remember, for a square, A = s².

A = 6²

A = 36. This is the area for each side of the wall. Since she is painting 4 walls, we can multiply this by 4.

36 ×4 = 144.

To find the area of the ceiling, we will need to use the formula for the area of a triangle : A = 1/2(bh). The base in the figure would be 6, and the height is also 6.

A = 1/2(6 ·6)

A = 1/2 (36)

A = 18. Therefore, each part of the ceiling is 18. Since the base is a square shape, there are 4 triangles that make up the ceiling. Multiply this by 4, giving you:

18 × 4 = 72.

Add the two areas from the walls and the ceiling:

144 + 72 = 216 ft²

Answer:

Ok, so i got 216

Step-by-step explanation:

mulityply 6✖️6✖️6=216 the rest of the numbers are tricking you hopefully this helps.

Solve x + 5x – 14 = 0

I’m doing factorising and solving quadratics.

Answers

Answer:

x + 5x = 14

6x = 14

x = 14/6

x = 7/3

Step-by-step explanation:

What is the solution to this system of equations? -5.9x-3.7y=-2.1 5.9x+3.7y=2.1


A. (0, -2.1)

B. (0, 2.1)

C. infinitely many solutions

D. no solutions

Answers

Answer:

C. infinitely many solutions

Step-by-step explanation:

You have the following 2x2 system of equation:

[tex]-5.9x-3.7y=-2.1\ \ \ \ (1)\\\\5.9x+3.7y=2.1\ \ \ \ \ \ \ \ (2)[/tex]

You can notice that if you multiply the equation (1) by -1 you obtain the equation (2). That is, the first equation is scalar multiple of the second one. Due to this situation, the system of equation has infinite solution

C. infinitely many solutions

y = 6x - 11
- 2x – Зу = -7

Solve the systems of equations by substitution

Answers

x=-6 the answer might not be right i’m kinda stupid ngl

The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are y = 6x - 11 and

- 2x – Зу = -7

substitute y value in second equation.

-2x-3(6x-11)=-7

Apply distributive property

-2x-18x+33=-7

Combine the like terms

-20x+33=-7

Subtract 33 from both sides

-20x=-7-33

-20x=-40

Divide both sides by 20

x=2

Now subtract x=2 in equation 1

y=12-11=1

Hence,  the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

To learn more on Equation:

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Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?

A. 0.35+0.3x=0.45+0.2x

B. 0.35+0.03x=0.45+0.02x

C. 35+0.03x=45+0.2x

D. 35+0.03x=45+0.02x

Answers

Answer:

B. 0.35 + 0.03x = 0.45 + 0.02x

Step-by-step explanation:

I don't really know how to explain it, but it is correct.

This is complicated,no how to explain its c. Jk it’s b :p

In a certain board game, a number cube is rolled to determine the number of spaces a player gets to move. Use the table above to determine the expected value of the number of spaces a player moves. Round the answer to the nearest tenth. 1.0 1.3 2.2 13.0

Answers

Answer:

A. 1.0

B. 1.3

C. 2.2

D. 13.0

Answer:

B.

Step-by-step explanation:

A right cylinder has a diameter of 40 mm in a high of 30 mm as soon what is the volume of the cylinders

Answers

________________________________

Hey!!

Solution,

Diameter=40 mm

Radius=40/2=20mm

Height=30mm

Volume of cylinder=?

Now,

Volume of cylinder=pi (r)^2 h

= 3.14*(20)^2*30

=3.14*400*30

=37,680 mm^3

So the right answer is of option A

hope it helps

Good luck on your assignment

__________________________________

Answer:

37,680 mm3

Steps:

Formula: Volume = Area * height

1:    = (pi/4)*D^2 * h

2:   = (pi/4)*(40)^2 * 30  

3:    = 37,680 mm3

Description:

We know that r is the radius and h is the height. So the

radius of the cylinder going to be r=40/2=20mm

Height of cylinder: 30mm

Meaning when you add up all the numbers answer will come as  37,680 mm3.  So a is the right answer for this question.

Answer: A.   37,680 mm3

Please mark brainliest

Hope this helps.

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