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makvit [3.9K]
2 years ago
7

If the sin 0° = 0, then which statement is true?

Mathematics
2 answers:
snow_tiger [21]2 years ago
4 0

Cos 90° = 1

Step-by-step explanation:

Cos 90° = 1, Because The angles are complements

Ugo [173]2 years ago
4 0

Answer:

cos 90° = 0, because the angles are complements

Step-by-step explanation:

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−3(2+4k)+7(2k−1) eqivalent expression
Alex17521 [72]

Answer:

\large\boxed{-3(2+4k)+7(2k-1)=2k-13}

Step-by-step explanation:

-3(2+4k)+7(2k-1)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(-3)(2)+(-3)(4k)+(7)(2k)+(7)(-1)\\\\=-6-12k+14k-7\qquad\text{combine like terms}\\\\=(-12k+14k)+(-6-7)\\\\=2k-13

6 0
3 years ago
There is two questions please help me
pav-90 [236]
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you own seven travel books and are taking five of them on vacation. in how many ways can you select the five books you will take
Ipatiy [6.2K]
It depends on how many options you have
You multiply the total number of books you have time 5 because you can choose 5
8 0
3 years ago
Distribute -8 - 8(4b + 3)
Anettt [7]

I'll give you a pdf so you can see it yourself and the correct answer is -32b - 32b

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6 0
3 years ago
Find the area of the triangle formed by the origin and the points of intersection of parabolas y=− 1/3 (x−1)^2+8 and y=x^2−2x−3.
Kobotan [32]

Answer:

The area of the triangle formed by origin, and the points (4,5) and (-2,5) will be 15 sq. units.

Step-by-step explanation:

The two parabolas are y = - \frac{1}{3}(x - 1)^{2} + 8 and y = x² - 2x - 3.

Now, solving those two equations we will get the points of intersection.

So, - \frac{1}{3}(x - 1)^{2} + 8 = x^{2} - 2x - 3

⇒ - (x - 1)² + 24 = 3x² - 6x - 9

⇒ -x² + 2x - 1 + 24 = 3x² - 6x - 9

⇒ 4x² - 8x - 32 = 0

⇒ x² - 2x - 8 = 0

⇒ x² - 4x + 2x - 8 = 0

⇒ (x - 4)(x + 2) = 0

So, x = 4 or - 2.

Now, for x = 4 , y = 4² - 2(4) - 3 = 5 and the point of intersection is (4,5).

Or, for x = - 2, y = (- 2)² - 2(- 2) - 3 = 5 and the point of intersection is (-2,5).

Now, points (4,5) and (-2,5) make a straight line parallel to the x-axis at a perpendicular distance of 5 units from origin and its length is (4 - (- 2)) = 6 units.

So, the area of the triangle formed by origin, and the points (4,5) and (-2,5) will be = 0.5 × 5 × 6 = 15 sq. units. (Answer)

8 0
2 years ago
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