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3 years ago

Johnathan makes 24 dollars for 6 hours of work so how much would he make for 8 hours of work

Mathematics

2 answers:

Molodets [167]3 years ago

6 0

The answer to this problem is 32 dollars

SVEN [57.7K]3 years ago

4 0

I believe he makes 4 dollars per hour which means in 8 hours he would make 32

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On the left, prism A. Prism A is a triangular prism. The base has side lengths of 6 centimeters, 8 centimeters, and 10 centimete

Llana [10]

Answer:

Prism B has a larger base area

Step-by-step explanation:

Given

Base dimensions:

Prism A:

Lengths: 6cm, 8cm and 10cm

Prism B:

Lengths: 5cm and 5cm

Required [Missing from the question]

Which prism has a larger base area

For prism A

First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.

The longest side is the hypotenuse; So:

$10^2 = 8^2 + 6^2$

$100 = 64 + 36$

$100 = 100$

The above shows that the base dimension forms a right-angled triangle.

The base area is then calculated by;

Area = 0.5 * Products of two sides (other than the hypotenuse)

$Area = 0.5 * 8cm * 6cm$

$Area = 24cm^2$

For Prism B

$Lengths = 5cm\ and\ 5cm$

So, the area is:

$Area = 5cm * 5cm$

$Area = 25cm^2$

By comparison, prism B has a larger base area because $25cm^2 > 24cm^2$

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3 years ago

The interior angle of a regular polygon is five times its corresponding exterior angle. Find the

tiny-mole [99]

Answer:

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the interior angles of polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each interior angles of the polygon = (2n-4)*90/n (A)

Sum of all the exterior angles of any polygon = 360.

value of each exterior angles of the polygon = 360/n (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

=> 2n = 20+4 = 24

=> n = 24/2 = 12.

the number of sides of the polygon is 12

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