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just olya [345]
2 years ago
14

Which steps show how to use the distributive property to evaluate 9.32?

Mathematics
1 answer:
MAVERICK [17]2 years ago
3 0

Answer:

D

Step-by-step explanation:

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Carmen has 4 baby bunnies. Each bunny weighs 1/5 of a pound. How much do the bunnies weigh all together?
Anestetic [448]

Step-by-step explanation:

The answer is 0.8 as a fraction is 4/5

4 0
2 years ago
Verify sine law by taking triangle in 4 quadrant<br>Explain with figure.<br>​
Ksivusya [100]

Proof of the Law of Sines

The Law of Sines states that for any triangle ABC, with sides a,b,c (see below)

a

 sin  A

=

b

 sin  B

=

c

 sin  C

For more see Law of Sines.

Acute triangles

Draw the altitude h from the vertex A of the triangle

From the definition of the sine function

 sin  B =

h

c

    a n d        sin  C =

h

b

or

h = c  sin  B     a n d       h = b  sin  C

Since they are both equal to h

c  sin  B = b  sin  C

Dividing through by sinB and then sinC

c

 sin  C

=

b

 sin  B

Repeat the above, this time with the altitude drawn from point B

Using a similar method it can be shown that in this case

c

 sin  C

=

a

 sin  A

Combining (4) and (5) :

a

 sin  A

=

b

 sin  B

=

c

 sin  C

- Q.E.D

Obtuse Triangles

The proof above requires that we draw two altitudes of the triangle. In the case of obtuse triangles, two of the altitudes are outside the triangle, so we need a slightly different proof. It uses one interior altitude as above, but also one exterior altitude.

First the interior altitude. This is the same as the proof for acute triangles above.

Draw the altitude h from the vertex A of the triangle

 sin  B =

h

c

      a n d          sin  C =

h

b

or

h = c  sin  B       a n d         h = b  sin  C

Since they are both equal to h

c  sin  B = b  sin  C

Dividing through by sinB and then sinC

c

 sin  C

=

b

 sin  B

Draw the second altitude h from B. This requires extending the side b:

The angles BAC and BAK are supplementary, so the sine of both are the same.

(see Supplementary angles trig identities)

Angle A is BAC, so

 sin  A =

h

c

or

h = c  sin  A

In the larger triangle CBK

 sin  C =

h

a

or

h = a  sin  C

From (6) and (7) since they are both equal to h

c  sin  A = a  sin  C

Dividing through by sinA then sinC:

a

 sin  A

=

c

 sin  C

Combining (4) and (9):

a

 sin  A

=

b

 sin  B

=

c

 sin  C

7 0
3 years ago
Darla made two batches of chocolate chip cookies each batch made 25 cookies darling use 16 total ounces of chocolate chips the c
Tema [17]

Answer:

0.32

Step-by-step explanation:

Equation: 16/(2(25)) = ?

Simplify: 16/50

Solve: .32

<u>There are 0.32 ounces of chocolate in each cookie.</u>

6 0
3 years ago
Is this triangle acute, right, or obtuse?
Elza [17]

Answer:

acute

Step-by-step explanation:

every angle is under 90 degrees

7 0
3 years ago
Read 2 more answers
In ABC triangle AC=8, AB=5 and BC=6, AK=1. Find BK
In-s [12.5K]

Answer:

Bk=100

I' hope it's helpful for you

4 0
2 years ago
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