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Ierofanga [76]
3 years ago
7

Please help will mark BRAINLIEST!!!

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

b, c, a

Step-by-step explanation:

In a triangle, the largest angle is opposite the longest side. The smallest angle is opposite the shortest side.

This triangle has 2 given angles, 50° and 60°.

We can find the measure of the third angle, x.

50 + 60 + x = 180

x + 110 = 180

x = 70

The three angles have measures 50°, 60°, and 70°.

The shortest side is opposite the smallest angle. That is side a.

The longest side is opposite the largest angle. That is side b.

The order from longest to shortest is

b, c, a

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f(x)=3\sin x+3\cos x\implies f'(x)=3\cos x-3\sin x

f has critical points where f'=0:

3\cos x-3\sin x=0\implies\cos x=\sin x\implies\tan x=1\implies x=\pm\dfrac\pi4+2n\pi

where n is any integer. We get solutions in the interval \left[0,\frac\pi3\right] for n=0, for which x=\frac\pi4.

At this critical point, we have f\left(\frac\pi4\right)=3\sqrt2\approx4.243.

At the endpoints of the given interval, we have f(0)=3 and f\left(\frac\pi3\right)=\frac{3+3\sqrt3}2\approx4.098.

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3 years ago
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3 years ago
Solve the quadratic equation by factoring: 15x^2+4x-4=0
joja [24]
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

5x(3x+2) - 2(3x+2)

3x+2 is one of our factors and 5x-2 is the other.

(3x+2)(5x-2)=0

Now just find the zeros.

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And

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So the answer is x = -2/3 and x = 2/5






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3 years ago
How can Diego package all the 64 cookies so that each bag has the same number of them? How many bags can we make and how many co
anygoal [31]

Answer:

  see below

Step-by-step explanation:

There are 7 divisors of 64. Each represents a possible number of bags of cookies:

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babunello [35]

Answer:

D  The IQR for town A is less than the IQR for town B

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