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3 years ago

Evaluate sin 45° cos 60° + tan 45°

Mathematics

1 answer:

Anna [14]3 years ago

7 0

Answer:

√2/4 + 1

Step-by-step explanation:

sin 45° --> √2/2

cos 60° --> 1/2

tan 45° --> 1

with these values, we write a new expression

√2/2 × 1/2 + 1

√2/2 × 1/2 = √2/4

(by doubling the denominator, you are splitting the number in half as implied by the 1/2)

your answer is √2/4 + 1

goodluck :)

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Is ABC DEF? If so, identify the similarity postulate or theorem that applies.

VladimirAG [237]

We are given traingle ABC and Triangle DEF.

Angle <A is congruent to Angle <D

Angle <B is congruent to Angle <E

Angle <C is congruent to Angle <F.

If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.

<em>By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.</em>

Therefore, option C is correct option.

<h3>C. Similar - AA.</h3>

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3 years ago

Read 2 more answers

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erica [24]

Answer:

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Step-by-step explanation:

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3 years ago

What is the slope of a line passing through (1,9) and (-3,16) ?

timurjin [86]

Answer:

slope= -7/4

Step-by-step explanation:

y2-y1/x2-x1

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7 0

3 years ago

A) Write the sequence of natural numbers which are multiplied by 3 ?

Volgvan

Answer:

a) 3, 6, 9, 12, 15,..., $3\cdot n$ , b) 4, 7, 10, 13, 16,..., $3\cdot n +1$ , c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function $f(n) = 3\cdot n$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function $f(n) = 3\cdot n + 1$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...