1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rashid [163]
2 years ago
8

Math short answer question! Please help!

Mathematics
1 answer:
IRISSAK [1]2 years ago
7 0
Part 1:

The circumference of the smaller circle is...
C = 2*pi*r
C = 2*pi*2
C = 4*pi


The circumference of the larger circle is...
C = 2*pi*r
C = 2*pi*8
C = 16*pi


The ratio of the two circumferences is
16*pi:4*pi = 4:1
which means that for every single full rotation of the larger gear, the smaller gear will complete four rotations

If we flip things around, we will have the ratio 4:1 turn into 1:0.25 (divide both parts by 4). Now this says that for every single rotation of the smaller gear, the larger gear rotates 1/4 or 25% of the larger circle circumference. 

1/4 of 360 degrees is 90 degrees

So the larger gear will rotate 90 degrees when the small gear completes a full revolution. 

Answer: 90 degrees

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

Part 2:

This was pretty much answered in part 1 above. The answer here is 4. The circumference of the larger gear is 4 times larger (since the radius is 4 times larger), so the gear ratio here is 4:1.

Answer: 4

You might be interested in
Find the area of the triangle below.
gulaghasi [49]

Answer:

Gọi AH là đường cao kẻ từ A đến BC

Xét tam giác AHC vuông tại H

Suy ra AH = HC. cotA= 9.cot35° = 12,9

Xét tam giác AHB vuông tại H

Suy ra BH = AH.tanA = 12,9.tan61°=23,37

Ta có BC= HC+ HB= 9+23,27 =32,27

Diện tích tam giác ABC = 1/2 × AH ×BC= 1/2 ×12,9×32,27=208,1415

8 0
2 years ago
20 POINTS!!!!
nevsk [136]

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

3 0
2 years ago
Read 2 more answers
Donovan was playing a basketball shooting game in the arcade. He made 15 shots and missed 25 shots. What is the percentage of sh
Firlakuza [10]

Answer:

r

Step-by-step explanation:

5 0
3 years ago
The product of two consecutive odd intergers is 1 less than four times thier sum. Find the two integers.
seraphim [82]
Consecutive odd integers are 2 apart
they are x and x+2
the product (x times (x+2)) is 1 less than  4 times their sum

x(x+2)=-1+4(x+x+2)
x^2+2x=-1+4(2x+2)
x^2+2x=-1+8x+8
x^2+2x=8x+7 minus (8x+7) from both sides [tex]x^2-6x-7=0
factor
what  numbers multliply to get -7 and add to get -6?
-7 and 1
(x-7)(x+1)=0
set equal to 0
x-7=0
x=7

x+1=0
x=-1

so the x can be 7 or -1
the other number (x+2) can be 7 or 1

test each

7 and 9
7(9)=-1+4(7+9)
63=-1+4(16)
63=-1+64
63=63
true


-1 and 1
-1(1)=-1+4(-1+1)
-1=-1+4(0)
-1=-1+0
-1=-1
true



the 2 integers can be 7 and 9 or -1 and 1 (both pairs of numbers work)
3 0
2 years ago
PLEASE HELP!!!!!! I'M IN A TEST SO PLEASE DON'T GUESS!!!!!
djyliett [7]

Answer:

B

Step-by-step explanation:

i added them all & its 100

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the solution? Need help asap
    7·1 answer
  • How many solutions does the following equation have? -3u=-3u-10
    12·1 answer
  • Help whats the absolute value
    6·1 answer
  • What is 10 1/7 / 8 7/8 equal
    14·1 answer
  • Karen has $1.70 in coins. Karen has 8 coins, all of which are quarters or dimes.
    6·1 answer
  • What is the measure of ZRCP in the figure below?
    7·1 answer
  • Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the s
    9·1 answer
  • Adalyn has a silver bracelet that is made from 1.7 g of copper and 22.3 g of silver.
    5·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csf%20-4%289x%2B9%29" id="TexFormula1" title="\sf -4(9x+9)" alt="\sf -4(9x+9)" align="absmid
    7·2 answers
  • Ms. Sunshine had $10.00. She purchased milk for $2.35 and apples for $1.95. How much money does she have left?​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!