What is 1.0395 •10 to the 9th power

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

san4es73 [151]

The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus $5\sqrt{3}$ . A whole side of the triangle is $10\sqrt{3}$ . Multiply that by 3 to get the perimeter of <span> $30\sqrt{3}$ .</span>

4 0

3 years ago

0.98x0.23 what is 0.98 times 0.23?

fomenos

Answer:

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Step-by-step explanation:

3 0

3 years ago

4600 people attended a football game. If 10% of the people who attended were teenagers, how many teenagers attended the game?

Pachacha [2.7K]

Answer:

460 teens

Step-by-step explanation:

10% = 0.1

multiple 0.1 by 4600 to get the amount of teens at the game. You could also do 4600/10 = 460

6 0

3 years ago

A bird has a mass of 26 g and perches in the middle of a stretched telephone line. (a) Show that the tension in the line can be

Semmy [17]

Answer:

a) is demonstrated below, b) T=1.462N, c) T=14.6N

Step-by-step explanation:

a) Refer to the attached diagram.

Since the bird is standing in the middle of the line and each half is a straight line, Ta=Tb, so we will call the tension T=Ta=Tb and Tay=Tby

By trigonometry Tay=Ta·Sinθ

Since the system is in equilibrium W=Tay+Tby then:

W=2·Tay=2·Ta·Sinθ=2·T·Sinθ

Since W=mg, being m the mass of the bird and g, gravity:

$mg=2TSin\theta$