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Oxana [17]
3 years ago
15

Use an appropriate identity to find the exact value of the expression.

Mathematics
1 answer:
Montano1993 [528]3 years ago
7 0
We know that cos(a+b) = coa.cob-sia.sinb

cos(310+50) = coas(310).cos(50) -sin(310).sin(50)

1st) cos(310+50) cos(360) = 1

2nd) cos (310) = cos(50)  and sin(310) = -sin(50)

3rd) 1= cos²(50) - [-sin²(50)]

1= cos²(50) + sin²(50)
 , which is 1
You might be interested in
Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian
mart [117]

Answer:

The area is 11317.51

Step-by-step explanation:

The sum of 2 sides must be less than the third side (largest side) for a triangle to be formed.

b+c<a

133+174 < 240

A triangle can be formed

To use Herons formula for the area

We find S = 1/2( a+b+c)

                 = 1/2(240+133+174)

                 =  1/2 (547)

                     = 273.5


Area = sqrt( S (S-a) (S-b)(S-c))

           sqrt((273.5 ) (273.5 -240) (273.5-133) (273.5-174))

           sqrt((273.5)(33.5) (140.5) (99.5))

            sqrt(128085964.4)

           11317.50699

The area is 11317.51

5 0
3 years ago
Barry wants to make a drawling this is 1/2 the size of the original. If a tree in the original drawling is 11 inches tall and 7
avanturin [10]

Answer: 5.5 inches, 3.5 inches

Step-by-step explanation:

Given

Barry wants to make a drawing i.e. half the size of original

The length and width of the original drawing are  11 inches and 7 inches respectively.

So, the intended drawing is obtained by multiplying the original dimensions by \frac{1}{2}

The length of barry's drawing is

\Rightarrow 11\times \frac{1}{2}\\\\\Rightarrow 5.5\ \text{inches}

The breadth of barry's drawing

\Rightarrow 7\times \frac{1}{2}\\\\\Rightarrow 3.5\ \text{inches}

8 0
2 years ago
The diagram below shows a side view of a set of stairs. What is the area shown?
Ahat [919]

Answer:

468

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The dairy goats on a farm give 2 gallons of milk each day.<br> How much milk do they give in 5 days?
Dovator [93]

Answer:

\huge\boxed{\sf 10\ gallons\ of\ milk}

Step-by-step explanation:

=> 2 gallons of milk each day.

<u>This means</u>

1 day = 2 gallon of milk

Multiply both sides by 5

5 (1 day) = 5 (2 gallons of milk)

<h3>5 days = 10 gallons of milk</h3>

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
4 0
3 years ago
Consider the system of equations. 3x + 2y = 16, x + y = 4 Which numerical values could you multiply the second equation by to el
andrezito [222]

Answer: -2

Step-by-step explanation:

3x+2y=16

x+y=4 multiply by -2

-2x-2y=-8

3x+2y=16  ------a

-2x-2y=-8  -------b

Add equation a and b

(3x+-2x)+(2y+-2y) = 16+(-8)

x+0=8 (y has been eliminated)

4 0
3 years ago
Read 2 more answers
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