Two angles of a triangle measure 55° and 20°.

Solve the following equation by using the addition principle. Check the solution.

omeli [17]

Answer:

y = 11/20

Step-by-step explanation:

-4/5 + y = -1/4

Add 4/5 to each side

-4/5 +4/5 + y = -1/4+4/5

y = -1/4 + 4/5

Get a common denominator

y = -1/4 *5/5 + 4/5 *4/4

y = -5/20 + 16/20

y = 11/20

Check

-4/5 +11/20 = -1/4

Get a common denominator

-4/5*4/4 + 11/20 = -1/4*5/5

-16/20 +11/20 = -5/20

-5/20 = - 5/20

Check

3 0

3 years ago

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On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in mile

lions [1.4K]

Complete question :

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Answer:

1.6 hours

Step-by-step explanation:

Given the function :

Time t taken for flying distance d is given by:

t = 1/500 * d

Tine taken to fly 800 miles;

d = 800 miles

t = 1/500 * (800)

t = 800 / 500

t = 1.6

Hence, time t = 1.6 hours

3 0

3 years ago

Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply) Question

enot [183]

Answer:

Negative × positive = negative

positive ÷ negative = negative

negative ÷ positive = negative

positive x negative = negative

Step-by-step explanation:

1. Negative × positive = negative

- × + = -

2. positive ÷ negative = negative

+ ÷ - = -

3. positive ÷ positive = positive

+ ÷ + = +

4. negative x negative = positive

- × - = +

5. negative ÷ positive = negative

- ÷ + = -

6. positive x positive = positive

+ × + = +

7. negative ÷ negative = positive

- ÷ - = +

8. positive x negative = negative

+ × - = -

Negative × positive = negative

positive ÷ negative = negative

negative ÷ positive = negative

positive x negative = negative

Note: when the signs are different, they will give negative

When the signs are the same, they will give positive

8 0

3 years ago

A library has 5000 books, and is adding 500 more books each year. is this Linear or Exponential

lana [24]

Answer:

It is linear in the amount of books being added, and it is exponential is the total amount of books.

Step-by-step explanation:

Hope this helps! have a great day!

3 0

3 years ago

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f the centripetal and thus frictional force between the tires and the roadbed of a car moving in a circular path were reduced, w

LUCKY_DIMON [66]

The frictional force between the tires and the road prevent the car from skidding off the road due to centripetal force.

If the frictional force is less than the centripetal force, the car will skid when it navigates a circular path.

The diagram below shows that when the car travels at tangential velocity, v, on a circular path with radius, r, the centripetal acceleration of v²/ r acts toward the center of the circle.

The resultant centripetal force is (mv²)/r, which should be balanced by the frictional force of μmg, where μ = coefficient of kinetic friction., and mg is the normal reaction on a car with mass, m.

This principle is applied on racing tracks, where the road is inclined away from the circle to give the car an extra restoring force to overcome the centripetal force.

8 0

3 years ago