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2 years ago

Information about two gears is shown in the table.

Mathematics

2 answers:

andrezito [222]2 years ago

8 0

Answer: B and D

Step-by-step explanation:

Edge 2020

vladimir1956 [14]2 years ago

3 0

Answer:

B and C

Step-by-step explanation:

<u>Angular velocity</u>

Gear 1:

w = theta/t

w = $\frac{60 rev}{min} * \frac{1 min}{60 sec} * \frac{2\pi }{rev}$ = 2 $\pi$

Gear 2:

w = $\frac{80 rev}{min} * \frac{1 min}{60 sec} * 2\pi$ = 2.66 $\pi$

<u>Linear Velocity</u>

v = w r

Gear 1:

2 pi * 6 = 12 $\pi$

Gear 2:

2.66 pi * 4 = 10.64 $\pi$

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A particle travels 24.6 km in 30 minutes. Find the

tatyana61 [14]

Answer:

See the solutions below

Step-by-step explanation:

Given data

Distance = 24.6km

in meters= 24.6*1000= 24600m

time= 30 minutes

in seconds= 30*60= 1800

int hours= 0.5 hour

speed of the particle in

(i) km/h= 24.6/0.5= 49.2 km/h

(ii) m/s.= 24600/ 1800= 13.66 m/s

8 0

1 year ago

Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue

Monica [59]

We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.

A) Rosa

Number of blue marbles = 10

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{10}{12}=0.833$

B) Chi

Number of blue marbles = 5

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{5}{6}=0.833$

C) Alberto

Number of blue marbles = 5

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{5}{12}=0.417$

D) Pedro

Number of blue marbles = 10

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{10}{6}=1.667$

From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.

Thus, the player which gets to go first is Pedro.

4 0

2 years ago

Read 2 more answers

How many pairs of whole numbers have a sum of 110

kap26 [50]

There are different definitions of "whole numbers".

Some define it as an integer (i.e. positive or negative) [some dictionaries]

Some define it as a non-negative integer. [most math definitions]

We will take the math definition, i.e. 0<= whole number < ∞

To find pairs (i.e. two) whole numbers with a sum of 110, we start with

0+110=110

1+109=110

2+108=110

...

54+56=110

55+55=110

Since the next one, 56+54=110 is the same pair (54,56) as 54+56=110, we stop at 55+55=110 for a total of 56 pairs.

5 0

2 years ago

Determine the slope of the line 3x − 5y − 6 = 0

ivolga24 [154]

Answer:

slope 3/5

Step-by-step explanation:

3x − 5y − 6 = 0

To find the slope, we want to solve for y

(y = mx+b slope intercept form of the equation(

Add 5y to each side

3x − 5y+5y − 6 = 0+5y

3x-6 = 5y

Divide by 5

3/5x -6/5 = 5y/5

3/5 x -6/5 = y

The slope is 3/5 and the y intercept is -6/5

3 0

2 years ago

Read 2 more answers

Caleb draws 14 dogs on each of 4 posters.He draws 18 cats on each of 6 other posters. If he draws 5 more dogs on each poster wit

MatroZZZ [7]

Caleb draws 14 dogs on each of 4 posters.
Then,
Number of dogs drawn by caleb in the first instance = (14 * 4) dogs
      = 56 dogs
Celeb drew 18 cats on each of 6 other posters.
Then
Number of cats drawn by Caleb in the first instance = (18 * 6) cats
   = 108 cats
Again Caleb draws 5 more dogs on each poster with dogs.
Then,
The number of Dogs drwn in the second instance = (5 * 4) dogs
   = 20 dogs
So, the total number of dogs drawn by Caleb = ( 56 + 20) dogs
   = 76 dogs
Then the total number of cats and dogs drawn by Caleb = 108 + 76
   = 184

5 0

2 years ago