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Scorpion4ik [409]
3 years ago
13

Use any method you like to find the measure of angle A

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0
A = 71.5 degrees (1 dp)

cos(A) = (21^2 + 16^2 - 22^2) / (2 x 21 x 16)
= 0.31696...
A = cos^-1(0.31696...) = 71.5 degrees
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Determine the equation of the parabola shown in the diagram in factored form. (check picture below)
krok68 [10]

Answer:

(x+1)(x-3)

Step-by-step explanation:

A quadratic in factored form is usually expressed as: a(x\pm a)(x \pm b) where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: a(x+1)(x-3). Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)

I'll use the point (1, -4) the vertex

-4 = a(1+1)(1-3)

-4 = a(2)(-2)

-4 = -4a

1 = a. So yeah the value of a is 1

So the equation is just: (x+1)(x-3)

6 0
2 years ago
Select the explicit formula for the sequence that correspond to this geometric series: 6 + 18 + 54 + 162 + 486
r-ruslan [8.4K]

Answer: ak=6•3k-1

Step-by-step explanation:

5 0
3 years ago
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Digiron [165]

Answer:

okay

Step-by-step explanation:

if you want someone to help you you should probably put a question on here lol

3 0
3 years ago
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mars1129 [50]
9.03 x 100
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3 0
3 years ago
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marishachu [46]

Answer:

Actual distance = 24 km

Step-by-step explanation:

16 cm

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We could use a ratio to do this

16/2 = x/3

8=x/3

Multiply both sides by 3

24=x

Hope this helps :)

4 0
2 years ago
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