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3 years ago

What is the relationship between cos(90°) and cos(-90°)?

Mathematics

1 answer:

sdas [7]3 years ago

7 0

Answer:

they have the same value (0)

Step-by-step explanation:

Cosine is an even function, meaning that cos(x) = cos(-x). When x=90°, we have ...

cos(90°) = cos(-90°)

Both values happen to be zero.

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PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi

Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

$Hypotenuse^2=Base^2+Perpendicular^2$

⇒ $5^2=3^2+4^2$

Let a, b, c forms a Pythagorean triplet

$a^2+b^2=c^2$

Multiplied by 4 on both sides

⇒ $4a^2+4b^2=4c^2$

⇒ ${2a}^2+{2b}^2={2c}^2$

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

4 0

3 years ago

Read 2 more answers

The unit rate for 5.99 for 13 Ib

Anit [1.1K]

Answer:

0.46

Step-by-step explanation:

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3 years ago

Read 2 more answers

Starla is measuring the floor of a rectangular room to determine how many square feet of a tile to buy to cover the floor

lbvjy [14]

there isnt much here but answer is width=X and length=Y and X times Y

for example, if you had a room that was 3 feet long and 10 feet wide, it would be 30 square feet.

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3 years ago

Mara is building a set of shelves supported by a diagonal brace, as shown in the diagram. Answer the questions to decide whether

Kazeer [188]

Answer:

Step-by-step explanation:

1). Since, m∠1 + m∠2 = 180° [Supplementary angles]

If m∠2 = 120°

m∠1 + 120° = 180°

m∠1 = 180° - 120°

m∠1 = 60°

2). If a transversal intersects two parallel lines on the top and middle,

∠1 and ∠5 will be corresponding angles.

3). Since, m∠1 = m∠5 = 60° (Corresponding angles)

Therefore, both the lines on top and middle will be parallel.

4). Since, m∠9 + m∠11 = 180° [Supplementary angles]

If m∠11 = 120°

m∠9 + 120° = 180°

m∠9 = 60°

Since, m∠1 = m∠9 = 60° [Corresponding angles]

Therefore, both the lines on the top and bottom shelves will be parallel.

5). Since, m∠5 = m∠9 = 60° [Corresponding angles]

Therefore, middle and bottom shelves will be parallel.

4 0

3 years ago

A population has groups that have a small amount of variation within them, but large variation among or between the groups thems

Sauron [17]

Answer:

B. stratified.

Step-by-step explanation:

If a population is composed by identifiable groups or strata, with large variations between groups, the stratified sampling should be applied in order to comprehend and represent all of the different groups in the sampling process.

Therefore, the answer is alternative B. stratified.

6 0

3 years ago