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scoundrel [369]
3 years ago
11

A

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

A- $1,983.75

Step-by-step explanation:

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Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in
Vsevolod [243]

Answer:

r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2}  \\  = 2\pi \times 2 \times 5 + 2\pi {2}^{2}  \\  = 20\pi + 8\pi \\  = 28\pi \\  = 28 \times 3.14 \\  = 87.92 {unit}^{2}  \\ thank \: you

7 0
3 years ago
Which fractions 1/3, 5/6, 3/4, 3/8 are closer to 0 than to 1?
aev [14]

Answer:

1/3, 3/8 are closer to 0

Step-by-step explanation:

8 0
3 years ago
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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
A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable. True or
vesna_86 [32]
<span>The answer is true
 Let's imagine that we have the following function function:
 </span>y = x ^ 2 &#10;
 <span>We have to:
 Independent variable: x
 Dependent variable: y
 For x = -1:
 </span>y = (- 1) ^ 2 = 1 &#10;
<span> For x = 1:
 </span>y = (1) ^ 2 = 1 &#10;
<span> We observe that the independent variable can only obtain one result.
 Answer:
 True</span>
3 0
3 years ago
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Rearrange the equation 5x-3y+9=0 from standard form to slope/y-intercept form.
lions [1.4K]
Y=Mx+B -> slope intercept form

The answer would be -3y=-5x-9
Divide the -3 on both sides and you get
y=5/3x+3
8 0
3 years ago
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