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givi [52]
3 years ago
6

The second hand of a clock makes a full revolution once every minute. What is its angle of rotation after 20 seconds? After 45 s

econds?
Mathematics
1 answer:
nikklg [1K]3 years ago
7 0
360/60 = 6

6 degrees every second

6*20 = 120 degrees


120 degrees after 20 seconds


6 * 45 = 270

270 degrees after 45 seconds


Hope I helped!

Let me know if you need anything else!

~ Zoe
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What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part
Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

1.5\times39.4=59

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

\frac{59}{39.4}=1.5

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

\frac{186}{1.06}=175

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

175\times1.06=186

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

6 0
1 year ago
A family has 2 cars. the first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 2
lora16 [44]

Car 1: 15x

Car 2: 20y

15x+20y=1300

x+y=75

So y=75-x

15x+20(75-x)=1300

-5x+1500=1300

-5x=-200

x=40.

y=75-40

y=35

Car 1: 40 gallons

Car 2: 35 gallons


8 0
3 years ago
¿que tipo de par ordenado es Veracruz-jalapa? ​
ELEN [110]

Answer:

i dont speak spanish sry

Step-by-step explanation:

but if you put it in english i would help

6 0
3 years ago
Find and simplify each of the following for
WINSTONCH [101]

Answer:

(A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

(B) f(x + h) - f(x) = 8xh + 4h² - 6h

(C) \frac{f(x+h)-f(x)}{h}=8x+4h-6

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 4x² - 6x + 6

- To find f(x + h) substitute x in the function by (x + h)

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) = 4(x + h)² - 6(x + h) + 6

- Lets simplify 4(x + h)²

∵ (x + h)² = (x)(x) + 2(x)(h) + (h)(h) = x² + 2xh + h²

∴ 4(x + h)² = 4(x² + 2xh + h²) = 4x² + 8xh + 4h²

- Lets simplify 6(x + h)

∵ 6(x + h) = 6(x) + 6(h)

∴ 6(x + h) = 6x + 6h

∴ f(x + h) = 4x² + 8xh + 4h² - (6x + 6h) + 6

- Remember (-)(+) = (-)

∴ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

* (A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

- Lets find f(x + h) - f(x)

∵ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - (4x² - 6x + 6)

- Remember (-)(-) = (+)

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - 4x² + 6x - 6

- Simplify by adding the like terms

∴ f(x + h) - f(x) = (4x² - 4x²) + 8xh + 4h² + (- 6x + 6x) - 6h + (6 - 6)

∴ f(x + h) - f(x) = 8xh + 4h² - 6h

* (B) f(x + h) - f(x) = 8xh + 4h² - 6h

- Lets find \frac{f(x+h)-f(x)}{h}

∵ f(x + h) - f(x) = 8xh + 4h² - 6h

∴ \frac{f(x+h)-f(x)}{h}=\frac{8xh + 4h^{2}-6h}{h}

- Simplify by separate the three terms

∴ \frac{f(x+h)-f(x)}{h}=\frac{8xh}{h}+\frac{4h^{2} }{h}-\frac{6h}{h}

∴ \frac{f(x+h)-f(x)}{h}=8x+4h-6

* (C) \frac{f(x+h)-f(x)}{h}=8x+4h-6

4 0
2 years ago
Why is the grid in Example 1 a good way to<br> represent a percent?
Tems11 [23]

Answer:

percent means  <u>per hundred </u>

Between the 100 squares, 60 of them are shaded

so you do 60/100

it's kind of like correcting tests, you have 100 questions, you got 80 of them right so its going to be 80/100

when you calculate percentage, you do the fraction x 100

so it's 60/100 = 0.6 x100 = 60%

hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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