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k0ka [10]
3 years ago
6

Can someone please help me on 20 and 21

Mathematics
1 answer:
Feliz [49]3 years ago
3 0
For number 20 x = 4
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He formula for density is given by , where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and
Vera_Pavlovna [14]

Answer:

p = [27.82] ÷ [3.6]

p = 7.727·

p = 7.728 (3dp)

The answer is B)

Step-by-step explanation:

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3 years ago
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Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2
Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b).

The sine difference identity is:

\sin(a-b)=\sin(a)\cos(b)-\cos(a)\sin(a).

The cosine addition identity is:

\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b).

The cosine difference identity is:

\cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b).

We need to find a way to put some or all of these together to get:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}.

So I do notice on the right hand side the \sin(a+b) and the \sin(a-b).

Let's start there then.

There is a plus sign in between them so let's add those together:

\sin(a+b)+\sin(a-b)

=[\sin(a+b)]+[\sin(a-b)]

=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]

There are two pairs of like terms. I will gather them together so you can see it more clearly:

=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]

=2\sin(a)\cos(b)+0

=2\sin(a)\cos(b)

So this implies:

\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)

Divide both sides by 2:

\frac{\sin(a+b)+\sin(a-b)}{2}=\sin(a)\cos(b)

By the symmetric property we can write:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}

3 0
3 years ago
Questions 1-6 , need help ASAP , will award you brainiest
nika2105 [10]

Answer:

1. 13+10i

2. 28-(-4i)

3. -14-1i

4. 4 -i

5. 15+ 10i

6.8 - 5i^2

Step-by-step explanation:

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3 years ago
Find the value of Z for the triangles
kolbaska11 [484]

Answer:

z = 17.5

Step-by-step explanation:

segment RX is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

\frac{RS}{RT} = \frac{SX}{TX} , substitute values

\frac{15}{z} = \frac{6}{7} ( cross- multiply )

6z = 105 ( divide both sides by 6 )

z = 17.5

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3 years ago
Someone PLEASEEEE HELPPPP
igomit [66]

Answer:

x = 18√3

Step-by-step explanation:

From the picture attached,

In a right triangle,

Measure of one angle = 30°

Measure of adjacent side of the angle = 9 units

We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{\sqrt{3}}{2} =\frac{9}{x}

x=18\sqrt{3}

Therefore, measure of Hypotenuse is 18√3 units.

3 0
3 years ago
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