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2 years ago

Given that cos 57° = 0.545, enter the sine of a complementary angle. sin h

Mathematics

1 answer:

noname [10]2 years ago

4 0

Answer:

sin 33° = 0.545

Step-by-step explanation:

complementary angle to 57° is 33°

sin 33° = 0.545

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Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.

denpristay [2]

Answer:

$f(n) = 5 + f(n - 1)$

Step-by-step explanation:

Given

$f(n) = 5n - 2$

Required

Write a recursive expression

$f(n) = 5n - 2$

When n = 1

$f(1) = 5 * 1 - 2 = 5 - 2 = 3$

$f(1) = 3$

When n = 2

$f(2) = 5 * 2 - 2 = 10 - 2 = 8$

$f(2) = 8$ can be rewritten as

$f(2) = 5 + 3$

Substitute 3 for f(1)

$f(2) = 5 + f(1)$

Express 1 as 2 - 1

$f(2) = 5 + f(2-1)$ ----- (1)

When n = 3

$f(3) = 5 * 3 - 2 = 15 - 2 = 13$

$f(3) = 13$ can be rewritten as

$f(3) = 5 + 8$

Substitute 8 for f(2)

$f(3) = 5 + f(2)$

Express 2 as 3 - 1

$f(3) = 5 + f(3 - 1)$ ------ (2)

Write out (1) and (2)

$f(2) = 5 + f(2-1)$

$f(3) = 5 + f(3 - 1)$

Replace 2 and 3 with n in both cases; This gives

$f(n) = 5 + f(n - 1)$

Hence;

The recursive is $f(n) = 5 + f(n - 1)$

7 0

2 years ago

I can't figure this question out I've tried multiple times but only 2/3. Help, please.

Scrat [10]

Answer:

yes it is 2/3

Step-by-step explanation:

4 0

2 years ago

What percent of 128 is 32

bija089 [108]

We can set up a proportion.

32/128 = x/100

32 * 100 = 3200
128 * x = 128x.

Now we have 128x = 3200.

All we need to do is divide 3200 by 128, so 3200 / 128 = 25, so your answer is 25%.

8 0

2 years ago

Solve f (x)=3x+6 f(300)

sveta [45]

Answer:

$f(300)=906$

Step-by-step explanation:

$f(x)=3x+6\\\\f(300)=3(300)+6\\\\f(300)=900+6\\\\\boxed{f(300)=906}$

Hope this helps.

8 0

2 years ago

6. Solve the equation x2 = 80.

jonny [76]

Answer:

Step-by-step explanation:

80/2=40

4 0

2 years ago

Read 2 more answers