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Blizzard [7]
4 years ago
12

What is the simplified form of 3135?

Mathematics
1 answer:
monitta4 years ago
6 0

Answer:

15

Step-by-step explanation:

yes

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Solve the triangle, AMDM
krok68 [10]

Answer:

B

Step-by-step explanation:

You are given two sides and the included angle, so you need to use the law of cosines.

c² = a² + b² - 2ab cos C

c² = 12² + 13² - 2(12)(13)cos 134°

c² = 313 - 312(-0.6947)

c² = 529.733

c = 23.016

Now use the law of sines.

c/sin C = a/sin A

23.016/sin 134° = 12/sin A

sin A = 12 × sin 134° / 23.016

sin A = 0.37504

A = 22.03°

B = 180° - 134° - 22.03°

B = 23.97°

m<A = 22°; m<B = 24°; c = 23 km

Answer: B

6 0
2 years ago
Given p=3q which of these will be p if q is increased by 2?
MAXImum [283]

If we increase q by 2, it means that q becomes q+2.

So, p will become

p=3q \mapsto \bar{p}=3(q+2)=3q+6=p+6

So, the new value for p is 6 more than the previous one.

The second exercise looks a bit odd: if the sequence started with -100, then it would be

-100, -97, -94, -91, -88,...

And every term would be 3 more than the previous one, so the next term would be -85, but this doesn't appear in your option.

Also, the fact that the sequence starts with positive 100 is quite strange, because it is unrelated to the rest of the sequence.

Are you sure that the exercise is written correct? Or are there any typos?

8 0
3 years ago
The ratio of the number of boys to the number of girls in a school is 10 : 2. If there are 300 students in the school, how many
ElenaW [278]

Answer:10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
David proved the Law of Cosines with reference to ∆ABC using a different method. Arrange the steps of his proof in the correct s
irinina [24]

image of solution attached below

7 0
3 years ago
Connor is constructing rectangle ABCD. He has plotted A at (−2, 4), B at (0, 3), and C at (−2, −1). Which coordinate could be th
ella [17]

Answer:

<h2>D (−4, 0)</h2>

Step-by-step explanation:

The image attached shows all given coordinates. There you can observe that point D must be placed at (-4, 0) to enclose a rectangle.

We can also demonstrate this by finding that sides AD and BC are congruent.

<h3>Side AD.</h3>

d_{AD} =\sqrt{(0-4)^{2}+(-4-(-2))^{2} } =\sqrt{16+4}=\sqrt{20}

<h3>Side BC.</h3>

d_{BC}=\sqrt{(-1-3)^{2} +(-2-0)^{2} }  =\sqrt{16+4}=\sqrt{20}

As you can observe, sides AD and BC are congruent. Therefore, point D must be at (-4,0), to enclose a rectangle.

7 0
3 years ago
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