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2 years ago

WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER

Mathematics

1 answer:

monitta2 years ago

3 0

All sides are the same, hence, all three angles are the same, and each one of them is 60 degrees. Due to that:

7x + 4 = 60

7x = 56

x = 56/7 = 8

8y + 12 = 60

8y = 48

y = 48/8 = 6

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Mark's age, x , is 6 times his age 2 years ago. which equation represents the statement?

AlekseyPX

Answer:

x = 6(x - 2)

Step-by-step explanation:

His age now is x.

His age 2 years ago was x - 2.

x = 6(x - 2)

5 0

2 years ago

If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the secon

Talja [164]

69.92 when you add them all up and divide it you get 69.92

3 0

3 years ago

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

2 years ago

Find the rate of change: (18, 4.5) (20, 5) (22, 5.5) (24, 6)

Korvikt [17]

Answer:

The rate of change for the

X is +2

The rate of change for the

Y is + 0.5

Step-by-step explanation:

No need

4 0

2 years ago

Read 2 more answers

What is the area of a sector with a central angle 210 and a diameter of 4.6

gizmo_the_mogwai [7]

Theta = 210°
r = 4.6/2 = 2.3
Area of circle = pi * r * r
= 3.14 * 2.3 * 2.3 = 16.61
Area of sector =
(theta / 360) * area of circle
= (210/360) * 16.61
= 9.69

5 0

2 years ago

Read 2 more answers

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