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3 years ago

Find the value of each expression using the given information cot∅=8, csc<0 find sin ∅

Mathematics

1 answer:

Oksana_A [137]3 years ago

6 0

9514 1404 393

Answer:

sin(∅) = -√65/65

Step-by-step explanation:

The identities that relate the cotangent, the cosecant, and the sine are ...

csc² = 1 +cot²

sin = 1/csc

_____

For the given values, we find ...

csc(∅)² = 1 +cot(∅)² = 1 +8² = 65

csc(∅) = -√65 . . . . . . . . . . . . . . . . square root with attention to sign

sin(∅) = -1/√65 = (-√65)/65

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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$

To find the speed, we have to differentiate both sides with respect to time 't'

$\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6$

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

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6 0

1 year ago

-8x+7+6=-3 Answers No solution -1 4 2

Natali5045456 [20]

Answer:

It's 2

Step-by-step explanation:

Because

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7 0

3 years ago

Help please asap!! A- z=15 B- z= 20 C- z=23 D- z=41

grigory [225]

Answer:

z = 15

Step-by-step explanation:

The sum S of the interior angles of a regular polygon is given by the formula

S = (n-2) x 180 where n is the number sides

Here n = 9

So S = (9-2) x 180 = 7 x 180 = 1,260

There are 9 interior angles and each angle is (5z + 65)

So the sum of all 9 interior angles = 9 (5z + 65)

= 45z + 585

Set these equal to each other and solve for z

45z + 585 = 1260

45z = 675

z = 675/45 = 15

4 0

1 year ago

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aleksley [76]

Answer: Quadratic

Solution
X=0
X=- 1/3

6 0

3 years ago

ASAP!! GIVING BRAINLIEST TO FIRST CORRECT ANSWER

mixas84 [53]

Answer:

200

Step-by-step explanation:

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3 years ago