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timama [110]
3 years ago
15

In a room with 10 people, how many different handshakes are possible?

Mathematics
2 answers:
Ganezh [65]3 years ago
7 0
45 handshakes are possible
Tomtit [17]3 years ago
7 0

Answer:

45 handshake

Step-by-step explanation:

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I need help working question 8. I don't understand how to start it
Lina20 [59]
Why don't you first try to use the cosine law to solve for an angle and then make use of the sin law to solve for the remaining angles.

Cosine law

C^2 = A^2 + B^2 - 2AB(cos C)
Solve for cos C, and then take the inverse of the trig ratio to solve for the angle.

Then set up a proportion like you have done using the sin law and solve for another angle. Knowing the sum of all angles in a triangle add up to 180 degrees, we can easily solve for the remaining angle.
8 0
3 years ago
Enter your answer as a number, like this: 42
marysya [2.9K]

Answer:

240 square inches

Step-by-step explanation:

1 foot = 12 inches

to convert 4/3 ft to inches, multiply by 12

4/3 × 12 = 16 inches

the area of a square = base × height

base = 16, height = 15

16 × 15 = 240 square inches

4 0
2 years ago
Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (11x −10)° and (7x + 10)°, respectiv
Ulleksa [173]

Answer:

m∠A = 90°

Step-by-step explanation:

In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!

m∠B = m∠C

11x - 10 = 7x + 10

4x - 10 = 10

4x = 20

x = 5

Now let's insert x back in the expressions for angles.

m∠B = (11x − 10)° = (11(5) − 10)° = 45°

m∠C = (7x + 10)° = (7(5) + 10)° = 45°

<u>Sum of all angles in the triangle is 180°.</u> Let's make an equation.

m∠A + m∠B + m∠C = 180°

m∠A + 45°+ 45° = 180°

m∠A  = 90°

7 0
1 year ago
One side of a square flower bed is 8 feet long. how many plants are needed if they are to be spaced 8 inches apart around the ou
Sloan [31]

The side is 8 feet = 8*12 inches = 96 inches

Plants are needed if they are to be spaced 8 inches apart around the outside of the bed

96/8 = 12 ... so we need 12 plants on each side, please note it is including the corners.

If we not incluse corner, the flowers will be 10 each side.

Means total flower : 10 * 4 (each side) + 4(corner)

The total needed is 44 plants. : Answer

Hope that will help :)

4 0
3 years ago
Solve this system of equations by converting the equations into slope-intercept form. How many solutions does this system have?
Alex777 [14]
<h3>Answer: -3x-3y=-30= x=−y+10  </h3><h3>x+y+10= x=−y+10</h3>

8 0
3 years ago
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