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kompoz [17]
4 years ago
6

Write the number 32.56 corrrect to one decimal place

Mathematics
1 answer:
Dmitry [639]4 years ago
8 0
32.56...correct to 1 decimal place = 32.6
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Please prove this........​
Crazy boy [7]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π    →     C = π - (A + B)

                                    → sin C = sin(π - (A + B))       cos C = sin(π - (A + B))

                                    → sin C = sin (A + B)              cos C = - cos(A + B)

Use the following Sum to Product Identity:

sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]

cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]

Use the following Double Angle Identity:

sin 2A = 2 sin A · cos A

<u>Proof LHS → RHS</u>

LHS:                        (sin 2A + sin 2B) + sin 2C

\text{Sum to Product:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-\sin 2C

\text{Double Angle:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-2\sin C\cdot \cos C

\text{Simplify:}\qquad \qquad 2\sin (A + B)\cdot \cos (A - B)-2\sin C\cdot \cos C

\text{Given:}\qquad \qquad \quad 2\sin C\cdot \cos (A - B)+2\sin C\cdot \cos (A+B)

\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]

\text{Sum to Product:}\qquad 2\sin C\cdot 2\cos A\cdot \cos B

\text{Simplify:}\qquad \qquad 4\cos A\cdot \cos B \cdot \sin C

LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C    \checkmark

7 0
4 years ago
Let a,b,c ∈ Z. Define the highest common factor hcf(a,b,c) to be the largest positive integer that divides a,b and c. Prove that
kakasveta [241]

21 they have too be right next to each other and threy have too be right

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3 years ago
A student estimates that it would take her 3 hours to write a book report,but it actually takes he 5 hours what is the percent e
aleksklad [387]

Answer:

66.67%

If it wrong! IM SO SORRY:(

5 0
2 years ago
Find the circumference of a circle with area of 676 pie square meters<br><br> Please show work
pogonyaev

Step-by-step explanation:

A= πr^2

r = √(A/π)

r = √(676π/π)

r = 26

C = 2πr

52π

= 163.36

4 0
3 years ago
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I have this for math but i don’t know how to solve it
Serhud [2]

associative property of multiplication   (a * b) * c = a * (b * c)

(3*x) *8 =3*(x*8) is the associative property of multiplication

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