The triangle shown is rotated about line m. A triangle with side lengths of 6 centimeters, 8 centimeters, and 10 centimeters is shown. The triangle is rotated about line m at the side with length 8 centimeters. What is the approximate base area of the resulting three-dimensional figure? Area of a circle: A = πr2

Answer: it will take the faster computer 15 minutes to do the job on its own.

Step-by-step explanation:

Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t

If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30

By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,

1/t + 1/30 = 1/10

Cross multiplying by 30x, it becomes

3x = x + 30

3x - x = 30

2x = 30

x = 30/2

x = 15 minutes

Answer:

Let play build royale together

Step-by-step explanation:

b. y = r cosa

Answer: A. y= r sin e

Step-by-step explanation: I just did it

Answer:

4

Step-by-step explanation:

The inequality that represents Max's situation with renting a bicycle is 5 + 3h <= 20. Max can rent the bicycle for up to 5 hours with his $20 budget, and renting for 4 hours would satisfy the inequality.

The inequality to represent Max's situation with renting a bicycle, considering his budget constraints, would be:

5 + 3h \<= 20

Where h represents the number of hours Max can rent the bike. To solve for h, you subtract 5 from both sides of the inequality (which represents the fixed insurance fee) and then divide by 3 (the hourly rate for renting the bike):

3h \<= 15

h \<= 5

Thus, Max can rent the bicycle for up to 5 hours to stay within his budget of $20. An example value that satisfies this inequality is 4 hours, which would cost Max $5 for insurance plus $12 for the rental time, totaling $17.

Answer:

16

Step-by-step explanation:

(-3r ^-4) ^-4

(-3) ^-4  * (r^-4) ^-4

We know a^-b = 1/a^b   and c^d^f = c^(d*f)

1/(-3)^4 * (r)^((-4*-4)

1/81 * r^16

The value of m is 16

Answer: 314cm

Step-by-step explanation:

The area of a circle = πr^2

where π = 3.14

r = radius

From the question, we've been given the radius as 10cm. So, we plug the radius into the formula.

Area= πr^2

= 3.14 × (10 × 10)

= 3.14 × 100

= 314 cm

Answer:

Step-by-step explanation:

Given a composite figure,

A circle of radius r = 10cm

We want to find the area of the circle?

Area of a circle is calculated using

A = πr²

Where π is given to be 3.14

π = 3.14

And r is the radius of the circle

Then, area of the composite figure is

A = πr²

A = 3.14 × 10²

A = 3.14 × 100

A = 314 cm²

The last option is correct

Answer:

40 days

Step-by-step explanation:

A barrel contains 50 gallons of water leaked out of the barrel at a rate of 5 gallons every 4 days at this rate

5 gallons leaked out in 4 days

50 gallons will leak out in (50x4)/5 = 10 ×4 = 40 days

It will take 40 days for the 50 gallons(1 barrel) to leak out

Answer:

[tex]y=27x+20[/tex]

8 people went to the game.

Step-by-step explanation:

Let x represent number of tickets.

We have been given that the family parked the car in a parking lot which charged ​$20. The cost per ticket was ​$27.

The cost of x tickets would be [tex]27x[/tex].

The total cost of going to baseball game would be equal to cost x tickets plus parking cost that is [tex]27x+20[/tex].

Therefore, the equation [tex]y=27x+20[/tex] represents the total cost (y) of going to the baseball​ game.

To find the number of people who went to game, we will equate total cost with 236 as:

[tex]236=27x+20[/tex]

[tex]236-20=27x+20-20[/tex]

[tex]216=27x[/tex]

[tex]\frac{216}{27}=\frac{27x}{27}[/tex]

[tex]8=x[/tex]

Therefore, 8 people went to the game.

Answer:

160/3 got it on the ed thing

The volume of the cone is 167.5 cubic centimeters

The given parameters are:

Radius, r = 4 cm

Height, h = 10 cm

The volume is calculated using:

[tex]V = \frac 13 * \pi r^2h[/tex]

So, we have:

[tex]V = \frac 13 * 3.14 * 4^2 *10[/tex]

Evaluate

[tex]V = 167.5[/tex]

Hence, the volume of the cone is 167.5 cubic centimeters

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Answer:

C) 6

Step-by-step explanation:

19 - 7 = 12

5 - 3 = 2

12/2 = 6

hope this helps :) please mark brainliest if you see fit :)

Step-by-step explanation:

X interprets (0,0), (-5, 0) all you must do is divide 5 by 2 so 5÷2=2.5 that is your answer

Answer:

G, I, H

Step-by-step explanation:

6 and 4 force H to be the largest and G to be the smallest.

For any right triangle, the 90 degree angle is always the largest. The longest side of a triangle is always opposite the largest angle. Similarly, the shortest side of a triangle is always opposite the smallest angle.

Angle G is opposite side HI = 4 which is the smallest side, so angle G is the smallest angle.

Angle H is the middle angle as this is the longer leg, but it is not longer than the hypotenuse. The hypotenuse is always the longest side.

Answer:

-

[tex] \frac{ - \sqrt{2} }{10} [/tex]

step by step:

[tex] \frac{ - 1}{5 \sqrt{2 } } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ - \sqrt{2} }{5 \times 2} = \frac{ - \sqrt{2} }{10} [/tex]

multiply by the square root of 2 to get rid of the square root of 2 on the bottom, then simplify. hope this helped :)

[tex]\\ \sf{:}\longrightarrow \dfrac{-1}{5\sqrt{2}}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{-1(5√2)}{(5√2)^2}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{-5√2}{25(2)}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{-5√2}{50}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{-√2}{10}[/tex]

Answer:

[tex]\frac{32}{56}\ < \frac{35}{56}[/tex]

[tex]\frac{27}{72} \ < \frac{32}{72}[/tex]

[tex]\frac{20}{24}\ < \frac{21}{24}[/tex]

[tex]\frac{9}{30}\ >\frac{8}{30}[/tex]

Step-by-step explanation:

Given that,

First set of fraction is [tex]\frac{4}{7}\ and \ \frac{5}{8}[/tex].

Second set of fraction is [tex]\frac{3}{8}\ and \ \frac{4}{9}[/tex].

Third set of fraction is [tex]\frac{5}{6}\ and \ \frac{7}{8}[/tex].

Fourth set of fraction is [tex]\frac{3}{10}\ and \ \frac{4}{15}[/tex].

Now,

Considering the first set of fraction:

LCM of 7 and 8 is 56. Now, multiply by 8 to both numerator and denominator to [tex]\frac{4}{7}[/tex]. and multiply by 7 to both the numerator and denominator to [tex]\frac{5}{8}[/tex]. We get new set of fraction as [tex]\frac{32}{56}\ and\ \frac{35}{56}[/tex].

∴[tex]\frac{32}{56}\ < \frac{35}{56}[/tex]

Again considering the second set of fraction:

LCM of 8 and 9 is 72. Now, multiply by 9 to both the numerator and denominator to [tex]\frac{3}{8}[/tex]. and multiply by 8 to both the numerator and denominator to [tex]\frac{4}{9}[/tex]. We get new set of fraction as [tex]\frac{27}{72} \ and \ \frac{32}{72}[/tex].

∴[tex]\frac{27}{72} \ < \frac{32}{72}[/tex].

Again considering the third set of fraction:

LCM of 6 and 8 is 24. Now, multiply by 4 to both the numerator and denominator to [tex]\frac{5}{6}[/tex]. and multiply by 3 to both the numerator and denominator to [tex]\frac{7}{8}[/tex]. We get the new set of fraction as [tex]\frac{20}{24}\ and \ \frac{21}{24}[/tex].

∴[tex]\frac{20}{24}\ < \frac{21}{24}[/tex].

Again considering the fourth set of fraction:

LCM of 10 and 15 is 30.Now, multiply by 3 to both the numerator and denominator to [tex]\frac{3}{10}[/tex]. and multiply by 2 to both the numerator and denominator to [tex]\frac{4}{15}[/tex].We, get the new set of fraction as [tex]\frac{9}{30}\ and \ \frac{8}{30}[/tex].

∴ [tex]\frac{9}{30}\ >\frac{8}{30}[/tex]

Final answer:

Using the recursive relationship f(n) = -5f(n-1) - n, we calculated the values step by step to find that f(4) is -914.

Explanation:

The question asks us to find the value of f(4) given that f(1) = 7 and the recursive relationship f(n) = -5f(n-1) - n.

To find f(4), we need to compute it in a step-by-step manner by first finding f(2) and f(3), and using those results to finally compute f(4).

Starting with f(1) = 7, we calculate f(2):

f(2) = -5f(1) - 2 = -5*7 - 2 = -35 - 2 = -37.

Next, calculate f(3):

f(3) = -5f(2) - 3 = -5*(-37) - 3 = 185 - 3 = 182.

Finally, calculate f(4):

f(4) = -5f(3) - 4 = -5*182 - 4 = -910 - 4 = -914.

Therefore, the value of f(4) is -914.

Final answer:

Using the recursive function given, by computing step by step from f(1) up to f(4), we find that f(4) equals -914.

Explanation:

To find the value of f(4), we must use the given recursive relation f(n) = -5f(n-1) - n, starting with the base case f(1) = 7.

Therefore, f(4) = -914.

Answer:

C

Step-by-step explanation:

Final answer:

The actual distance between Madison and Franklin is 42 miles.

Explanation:

To find the actual distance between Madison and Franklin, we can use the given scale of 1 in: 7 mi. Since Madison and Franklin are 6 inches apart on the map, we can multiply the scale by the number of inches to find the distance in miles.

Distance in miles = Scale x Number of inches apart = 7 mi/in x 6 in = 42 miles

Therefore, the actual distance between Madison and Franklin is 42 miles.

Answer:

The length of line segment QP is 20 units ⇒ 4th answer

Step-by-step explanation:

If a secant and a tangent are drawn from a point outside the circle, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment

Look to the attached figure

∵ PQ is a tangent to the circle

∵ PM is a secant intersects the circle at points N and M

- That means the product of the lengths of PM and PN is

   equal to the square of the length of PQ

∴ (PQ)² = (PN). (PM)

∵ The length of Q P is n units

∴ PQ = n

∵ The length of N P is 11.5 units

∴ NP 11.5

∵ The length of M N is 24 units

∴ MN = 24

- The length of the secant PM is the sum of the lengths of PN

   and MN

∵ PM = PN+ NM

∴ PM = 11.5 + 24 = 35.5

Substitute the values of PQ, PN, and PM in the formula above

∵ n² = 11.5 × 35.5

∴ n² = 408.25

- Take √  for both sides

∴ n = 20.205197

- Round it to the nearest unit

∴ n = 20

∵ n is the length of PQ

∴ The length of line segment QP is 20 units

Answer:

D. 20 units

Step-by-step explanation:

Answer:

( -[tex]\sqrt{3}[/tex]/2 , -1/2)

Step-by-step explanation:

-210 degrees in standard position corresponds to an angle in the 3rd quadrant  30 degrees below the negative x-axis

The hypotenuse of the triangle here is 1, and we want the coordinates.

_______________________(0,0)

|(x = -root(3)/2)

|

| (y = -1/2)

The coordinates of the point at which the terminal side intersects the unit circle are (-√3/2, -1/2).

The cartesian plane is a two-dimensional coordinate plane that is formed when two parallel lines meet. The X-axis is the horizontal line, and the Y-axis is the vertical line. On the Cartesian plane, the coordinate point (x, y) indicates that the point is on the right of the origin if the sign of x is positive; otherwise, the point is on the left of the origin.

Given  -210 degrees is in standard position,

-210° lies in the third quadrant,

which is 180° + 30° or π + 30°

the coordinate are x = cos(π + 30°)

and y = sin(π + 30°)

cos(π + Ф) = -cosФ and

sin(π + Ф)  = -sinФ

x = cos(π + 30°) = -cos30° = -√3/2

y = sin(π + 30°) = -sin30° = -1/2

Hence the coordinates of points are (-√3/2, -1/2).

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Answer:

0.395 kilometre

Step-by-step explanation:

Given:

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.

On his second stroke, the ball traveled 79 meters and went into the hole.

Question asked:

How many kilometres from the hole was Martin when he started?

Solution:

Let distance from Martin starting point to the hole in meters = [tex]x[/tex]

On Martin's first stroke, ball traveled = [tex]\frac{4}{5} \ of \ total \ distance\ to\ the\ hole[/tex]

                                                             [tex]=\frac{4}{5} \times x=\frac{4x}{5}[/tex]

On his second stroke, the ball traveled and went to the hole = 79 meters

Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke

[tex]x=\frac{4x}{5} +79\\ \\ Subtracting\ both\ sides\ by \ \frac{4x}{5}\\ \\ x- \frac{4x}{5}= \frac{4x}{5}- \frac{4x}{5}+79\\ \\ \frac{5x-4x}{5} =79\\ \\ By \ cross\ multiplication\\ \\ x=79\times5\\ \\ x=395\ meters[/tex]

Now, convert it into kilometre:

1000 meter = 1 km

1 meter = [tex]\frac{1}{1000}[/tex]

395 meters = [tex]\frac{1}{1000}\times395=0.395\ kilometre[/tex]

Thus, there are 0.395 kilometre distance from Martin starting point to the hole.

Answer:

840

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The angular velocity of the wheel in radians per minute is 96·π·rad/min

Where π = 22/7 then the angular velocity is [tex]301\frac{5}{7} \ rad/min[/tex]

Step-by-step explanation:

The number of revolutions completed per 3 seconds = 2.4 revolutions

∴ The number of revolutions completed per second = 2.4/3 = 0.8 = 4/5 revolutions

The angle per revolution = 2π radians

∴ Angular velocity per second = 0.8×2×π rad/sec

The angular velocity of the wheel in radian per second = 1.6·π·rad/sec

1 minute = 60 Seconds

∴The angular velocity of the wheel in radians per minute = 96·π·rad/minute

Where π = 22/7 then the angular velocity = [tex]301\frac{5}{7} \ rad/min[/tex].

Answer:96pi

Step-by-step explanation:

Answer:

Increase by 8.75

Step-by-step explanation:

75+82+67+72=296

296/4= 74

74 = Original Mean

75+82+96+78=331

New mean 82.75

82.75-74=8.75

Answer:

The mean increased by 6.8

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer:

66,000

Step-by-step explanation:

Answer:

GH¢32,500

Step-by-step explanation:

Monthly salary of Mensah=GH¢10,000.00

Commission=15%

15/100×GH¢ 1,500,00.00=GH¢22,500

Total amount earned=

Monthly salary+ Commission

GH¢10,000+GH¢22,500=GH¢32,500

Answer:

GH¢32,500

Step-by-step explanation:

Monthly salary of Mensah=GH¢10,000.00

Commission=15%

15/100×GH¢ 1,500,00.00=GH¢22,500

Total amount earned=

Monthly salary+ Commission

GH¢10,000+GH¢22,500=GH¢32,500

Answer:

An expression for the area of the pathway is [tex]4x^2+42x[/tex]

Step-by-step explanation:

Length of garden = 9 feet

Breadth of garden = 12 feet

Area of garden = [tex]Length \times Breadth = 9 \times 12 =108 ft^2[/tex]

We are given that you want to buy a pathway around the garden that is x feet

Width of pathway = x feet

Outer length = 9+x+x=9+2x

Outer breadth = 12+x+x=12+2x

Area of path including garden =[tex]Length \times Breadth = (9+2x)(12+2x)[/tex]

Area of path = Area of path including garden - Area of garden

Area of path =[tex](9+2x)(12+2x)-108[/tex]

Area of path =[tex]108+18x+24x+4x^2-108[/tex]

Area of path =[tex]4x^2+42x[/tex]

Hence an expression for the area of the pathway is [tex]4x^2+42x[/tex]

Answer:

The volume of the Perfume bottle is 128 cubic cm.

Step-by-step explanation:

We are given the following in the question:

Height of bottle, h = 6 cm

Base edge of perfume bottle, a = 8 cm

The perfume bottle in the shape of square pyramid.

Volume of perfume bottle = Volume of square pyramid.

[tex]V = a^2\times \dfrac{h}{3}[/tex]

Putting values, we get,

[tex]V = (8)^2\times \dfrac{6}{3}\\\\V = 128\text{ cubic cm}[/tex]

Thus, the volume of the Perfume bottle is 128 cubic cm.

Answer:

(2,1) is a solution

Step-by-step explanation:

y = 3x-5

Substitute the point into the equation and see if it is true

1 = 3(2)-5

1 = 6-5

1=1

This is true so the point is a solution