2 years ago

(03.02 MC)

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

3 0

Answer:

Step-by-step explanation:

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Triangle $ABC$ is isosceles with $AB = BC.$ If $AC = 20$ and $[ABC] = 240,$ then find the perimeter of triangle $ABC.$

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The perimeter of triangle ABC is 84.

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Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.

Trava [24]

Answer:

Step-by-step explanation:

We are given:

$\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}$

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

$o=\sqrt{13^2-12^2}=\sqrt{25}=5$

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

$\displaystyle \csc(\theta)=\frac{13}{5}$

Since θ is in QIII, cosecant must be negative:

$\displaystyle \csc(\theta)=-\frac{13}{5}$

Our answer is A.

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2 years ago

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Carol bought a coloring book. It is 11 inches long and 8 inches wide. What is the diagonal length of the book?

Leokris [45]

Answer:

13.6 inches

Step-by-step explanation:

We can use Pythagorean theorem: $c=\sqrt{a^{2} +b^{2} }$

Let c be the diagonal length, a for length, and b for width.

Substitute the values.

$c=\sqrt{11^{2}+8^{2} }$

c=13.6 inches

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I need help with 4=2/3(2x-9

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Answer:

x=15/2

Hope it helps :)

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Add. -3 + (-4) And 4 pluse (-3)

Softa [21]

Answer:

-6

Step-by-step explanation:

-3 + (-4) 4 + (-3) is -6 I hope that helps because that what I got

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