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2 years ago

I NEED THIS ASAP Are two regular hexagons always congruent? Explain your answer

2 answers:

8 0

The two regular hexagons could have different side lengths, so they will not necessarily always be congruent, but they will always be similar.

Savatey [412]2 years ago

3 0

They come in many different sizes so they are not always congruent but they are always similar

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Evaluate i^31 please help

Nadya [2.5K]

ANSWER

${i}^{31} = - i$

EXPLANATION

We want to evaluate

${i}^{31}$

Use indices to rewrite the expression as:

$= {i}^{30} \times i$

We know that

${i}^{2} = - 1$

So we rewrite the expression to obtain;

$= ({ {i}^{2}) }^{15} \times i$

This gives us;

$= {( - 1) }^{15} \times i$

This simplifies to

$= - 1 \times i$

$= - i$

4 0

2 years ago

Suppose we went to choose 2 letters without replacement from 3 letters a b and c

vagabundo [1.1K]

Answer:

6 ways - ab,ac, ba,bc and ca,cb

Step-by-step explanation:

We are given 3 letters a,b,c.

We can choose the first letter in 1 out of 3 ways.

Once the first letter has been chosen without replacement, we have two letters remaining. Another letter can be chosen from the 2 remaining letters in 2 ways. So the total number of ways of choosing the two letters is 3*2 = 6.

Listing out the possible set of choices:

Options include: ab,ac, ba,bc and ca, cb

3 0

2 years ago

Jackson high schol chum bump lava rat socks

Nadya [2.5K]

Answer:

amebo soup

Step-by-step explanation:

i love it

5 0

2 years ago

A cyclist rides her bike at a rate of 30 kilometers per hour. What is this rate in kilometers per minute? How many kilometers wi

SIZIF [17.4K]

5 kilometers for 10 minutes
60 minutes= 1 hour
30 kilometers divided by 60 minutes=0.5
0.5*10 minutes= 5 kilometers for 10 minutes

5 0

2 years ago

Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC

jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

$\frac{AB}{sin(C)}=\frac{BC}{sin(A)}$

now, we can plug values

$\frac{8}{sin(45)}=\frac{BC}{sin(60)}$

$BC=\frac{8}{sin(45)} \times sin(60)$

$BC=9.798$

Calculation of AC:

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

now, we can plug values

$\frac{8}{sin(45)}=\frac{AC}{sin(75)}$

$AC=\frac{8}{sin(45)} \times sin(75)$

$AC=10.928$

Perimeter:

$p=AB+BC+AC$

we can plug values

$p=10.928+8+9.798$

$p=28.726$

Area:

we can use formula

$A=\frac{1}{2}AB \times AC \times sin(A)$

now, we can plug values

$A=\frac{1}{2}8 \times 10.928 \times sin(60)$

$A=37.85570$ ...............Answer

6 0

3 years ago

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