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lesya692 [45]
3 years ago
7

In △ABC, m∠A=44°, m∠B=48°, and a=25. Find c to the nearest tenth.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Answer:

=36.0

Step-by-step explanation:

We use the sine rule to find the missing sides as follows;

Lets find the missing angle C by using the summation of interior angles in a triangle.

C=180-(44+48)

=88°

Then,

a/Sin A=c/Sin C

25/Sin 44=c/Sin 88

c=(25 Sin 88)/Sin 44

c=35.97

The side c=36.0 to the nearest tenth.

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Answer:

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Step-by-step explanation:

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3 years ago
If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
Nookie1986 [14]

Option A

If  f(x) = 2x^2 + 1 and g(x) = x^2 - 7 then (f - g)(x) = x^2 + 8

<em><u>Solution:</u></em>

Given that f(x) = 2x^2 + 1 and g(x) = x^2 - 7

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

(f - g)(x) = 2x^2 + 1 - (x^2 - 7)

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

(f - g)(x) = 2x^2 + 1 -x^2 + 7

Combining the like terms,

(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8

Thus option A is correct

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3 years ago
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3 years ago
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Step-by-step explanation:

Since we have given that

Total number of members in a sports club = 38

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Since they all play either squash or tennis.

Total number of men in the club is given by

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So, number of men playing squash is given by

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Number of women playing squash is given by

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so, the table is shown below :

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Tennis       16                4               20

Squash       8                10              18

Total          24               14              38

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