In ΔDEF, d = 5.3 cm, e = 2.4 cm and f=4.7 cm. Find the measure of ∠F to the nearest 10th of a degree.

Given:

In ΔDEF, d = 5.3 cm, e = 2.4 cm and f=4.7 cm.

To find:

The measure of ∠F to the nearest 10th of a degree.

Solution:

According to the law of cosine:

In ΔDEF,

Putting the given values d = 5.3, e = 2.4 and f=4.7, we get

Taking cos inverse on both sides, we get

Therefore, the measure of angle F is 62.5 degrees.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

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step-by-step explanation:

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