Find the length of XY bisector

A group of five people are all working on the same mathematics problem. On the night before it is due, they call each other to d

UkoKoshka [18]

Answer:

Minimum number of calls = 10

Step-by-step explanation:

Lets name the five people as A,B,C,D and E.

<u>On the night before ,each person talks to every other person atleast once that means A would talk to B,C,D and E atleast once.</u>

Lets start with A. He would talk to other 4 people which means there would be 4 phone calls made.

Now lets take B. He can talk to A,C,D and E. But A has already talked to C therefore to get minimum number of phone calls , B need not call A again. So he calls only C,D and E.

In case of C using similar logic he need to talk to only D and E.

For D , he talks to E alone.

E does not have to talk to anyone as he has already talked to everyone atleast once.

Total calls = 4 + 3 + 2 + 1

= 10

5 0

3 years ago

In the right triangle shown, <B=60° and AB=18. How long is AC?

Naily [24]

Answer:

18√3

Step-by-step explanation:

tan Ф = opposite/adjacent

tanФ = AB/AC

tan 60 = AC/AB

Tan 60 =√3 AB=18

√3=AC/18

AC=18√3

6 0

3 years ago

Answer ASAP please, Will give brainliest.

nikdorinn [45]

Answer:

see below

Step-by-step explanation:

The measure of a minor arc is the same as the angle that forms it.

1. Since ∠GBJ = 90°, the answer is 90°.

2. ∠HBI = 180° - 151° = 29° so the answer is 29°.

3. ∠HBJ = 180° so the answer is 180°.

4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/

5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.

6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.

4 0

3 years ago

3 × 1 1/2 as a mixed number in simplest form

Anna11 [10]

Answer:

1.5 - 1 1/5 = 3

10

= 0.3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The supreme shipping company can load trucks with both rectangular and cylindrical containers. A rectangular container has a vol

soldi70 [24.7K]

the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Let x be the number of rectangular containers and y the number of cylindrical containers.

Since a rectangular container has a volume of 100 ft ³and weighs 200 pounds and a cylindrical container has a volume of 200 ft.³ and weighs 100 pounds, and each truck has room for at most 4200 ft.³ of containers and can carry a maximum of 4800 pounds,

We have that the maximum volume of the truck V = 100x + 200y.

Also, the maximum weight of the truck is W = 200x + 100y

Since V = 4200 ft.³ and W = 4800 pounds,

100x + 200y = 4200 and 200x + 100y = 4800

x + 2y = 42 (1) and 2x + y = 48 (2)

Multiplying (1) by 2 and (2) by 1, we have

2x + 4y = 84 (3) and 2x + y = 48 (4)

Subtracting (4) from (3), we have

2x + 4y = 84

-

2x + y = 48

3y = 36

y = 36/3

y = 12

Substituting y into (1), we have

x + 2y = 42

x + 2(12) = 42

x + 24 = 42

x = 42 - 24

x = 18

Also, since the shipping company charges $60 for a rectangular container and $55 for a cylindrical container, the income, P = 60x + 55y

Since x = 18 and y = 12, the maximum income is P = 60x + 55y

= 60(18) + 55(12)

= 1080 + 660

= $1740

So, the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Learn more about maximum income here:

brainly.com/question/24559594

3 0

3 years ago