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hjlf
2 years ago
6

Please help me with this question please

Mathematics
1 answer:
lora16 [44]2 years ago
7 0

Answer:

○ sin 15° = sin 30°⁄2 = ±√[1 - cos 30°\2]

Step-by-step explanation:

According to the Sine Half-Angle Identity, this is the formula:

sin x = sin ˣ⁄2 = ±√[1 - cos x\2]

Notice the <em>-</em><em>cos</em><em> </em><em>x</em><em>\</em><em>2</em><em> </em>inside the radical. The second option nearly resembles this option. It has a positive symbol inside. Do not let this confuse you. The Cosine Half-Angle Identity is the formula that has a positive in the radical:

cos x = cos ˣ⁄2 = ±√[1 + cos 30°\2]

I am joyous to assist you anytime.

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6 0
2 years ago
The outside of a picture frame measures 14 in and 20 in 196in^2 of the picture shows find the thickness of the frame
LuckyWell [14K]
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width. 
             Area = Length x Height
              Area = (20 in) x (14 in) 
              Area = 280 in²

We are given that the area is only equal to 192 in². We subtract this value from the computed area.
         Difference = 280 in² - 192 in²
               difference = 88 in²

This area is equal to the area of the hollow space inside the frame. That is equal to,
      height = 20 in - 2x
      length = 14 in - 2x

The area,
               88 = (20 - 2x)(14 - 2x)

Simplify the right hand side of the equation.
             88 = 280 - 68x + 4x²

Divide the equation by 4,
            22 = 70 - 17x + x²

Transposing,
                x² - 17x - 48 = 0
The factors of the equation is 58.2. 

Thus, the thickenss is equal to 58.2 in
5 0
3 years ago
Evaluate x4 + 4x3 - 2x2 + 11x - 6 for x = 3
erica [24]

Step-by-step explanation:

f(x)  =  {x}^{4}  + 4 {x}^{3}  - 2 {x}^{2}  + 11x - 6

f(3) =  {3}^{4}  + 4. {3}^{3}  - 2. {3}^{2}  + 11.3 - 6

f(3) = 81 + 4.27 - 2.9 + 33 - 6

f(3) = 81 + 108 - 18 + 33 - 6

f(3) = 198

8 0
2 years ago
Read 2 more answers
HELP, I WILL GIVE BRAINIEST IF BEST EXPLANED
olya-2409 [2.1K]

Answer:

-2 + 7x - 3x is your answer

Step-by-step explanation:

8 0
3 years ago
If a storm window has an area of 448 square inches, what are the dimensions if the window is 12 inches higher than it is wide (w
pantera1 [17]
Let width = w  then we have the equation:-

w(w + 12) = 448

w^2 + 12w - 448 = 0

(w - 16)(w + 28) = 0

w = 16  

Answer: the dimensions of the window are width 16 by height 28 inches

4 0
2 years ago
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