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abruzzese [7]
3 years ago
12

What is the corollary to the triangle sum theorem?

Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0
In the triangle sum theorem, the corollary is that the triangle <span>can include only one 90 degree angle or one obtuse angle.</span>
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Jason needs to explain to his class how to use mental math to find the product of 400,000×50,000 how would u explain that
elena55 [62]
You  would do 5 times 4 which is 20. then count how many zero's there are and put them after the 20.
4 0
3 years ago
Anyone have any idea how to do this???
bagirrra123 [75]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos^4
Firdavs [7]

The expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8.</u>

The power-reducing formula, for cosine, is,

cos² θ = (1/2)[1 + cos 2θ].

In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.

We can do it as follows:

cos⁴ θ

= (cos² θ)²

= {(1/2)[1 + cos 2θ]}²

= (1/4)[1 + cos 2θ]²

= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}

= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)

= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]

= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8

= 3/8 + cos 2θ/4 + cos 4θ/8

= [ 3 + 2cos 2θ + cos 4θ]/8.

Thus, the expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8</u>.

Learn more about reducing trigonometric powers at

brainly.com/question/15202536

#SPJ4

5 0
2 years ago
(x+6)(x-3) solve by multiplying out and combining like terms
pogonyaev

Answer:

x^2 + 3x - 18

Step-by-step explanation:

In order to solve this problem, I recommend using the FOIL method.

F = Front

O = Outer

I = Inner

L = Last

Start by multiplying the fronts which is x with x, which will give you x^2 (X to the second power).

Then, multiply x and -3, which gives you -3x. (Outer)

Third, multiply 6 and x, which gives you 6x. (Inner)

Finally, multiply 6 and -3, which gives you -18. (Last)

Now, there are like terms in the products that we just did which is 6x and -3x combine them together and you will get 3x.

So your results should be

x^2 + 3x - 18

Hope this helps!

8 0
2 years ago
here are approximately 4.2 million births in a country each year. Find the birth rate in units of births per minute.
marusya05 [52]

Answer:

8 births to 1sf

Step-by-step explanation:

4.2m births per year in unspecified country.

4.2 / 0.000365 = 11506.8493  per day

11506.8493 / 24 = 479.452054  per hour

479.452054 / 60 = 7.99086757  per minute  = 8 births to 1sf

3 0
3 years ago
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