The rate is given as a percent (%). Before using it in the simple interest formula, you must first convert it to a _____.

Mathematics

1 answer:

lana66690 [7]2 years ago

7 0

Answer:

decimal

Step-by-step explanation:

Before using the rate given as a percentage in simple interest formula, you must first convert it to decimal.

This helps in simplifying the work and help the calculation.

Simple interest = $\frac{PRT}{100}$

P is the principal

R is the rate

T is the time

The rate is taken to decimal and inserted into the problem.

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A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an

mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin C=\frac{AB}{AC}$

Putting values,

$\sin 30^\circ} =\frac{10}{AC}$

We know, $\sin 30^\circ}=\frac{1}{2}$

$\frac{1}{2} =\frac{10}{AC}$

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, <u>option (1)</u> is correct.

8 0

2 years ago

Read 2 more answers

Eli walked 12 feet down the hall of his house to get to the door. He continued in a straight line out of the door and across the

tekilochka [14]

Part A:

The drawing representing Eli's walking pattern is attached.

Part B:
The total distance worked by Eli is given by
12 + 32 + 14 = 58 feet.

Part C:
The distance of Eli from his house is given by
12 + 32 - 14 = 30 feet.