All categories

2 years ago

Please help me solve this

Mathematics

1 answer:

MArishka [77]2 years ago

7 0

9514 1404 393

Answer:

sin(θ) ≈ -0.92

cos(θ) ≈ 0.38

tan(θ) = -2.40

Step-by-step explanation:

Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...

r² = (5)² + (-12)²

r² = 169

r = √169 = 13

The trig relations for a point on the terminal ray are ...

(x, y) = (r·cos(θ), r·sin(θ))

Then ...

sin(θ) = y/r = -12/13 ≈ -0.92

cos(θ) = x/r = 5/13 ≈ 0.38

tan(θ) = y/x = -12/5 = -2.40

You might be interested in

In a test contains 10 questions, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. S

romanna [79]

I think it would be 21 points total for 7 correct awnsers I did the math hope it helps

5 0

2 years ago

Read 2 more answers

Carlos drew a plan for his garden on a coordinate plane. Rose bushes are located at A(–5, 4), B(3, 4), and C(3, –5)

BartSMP [9]

Given:

A(-5,4)

B(3,4)

C(3,-5)

So point D is:

so point D is (-5,-5)

For AB is

Distance between two point is:

$\begin{gathered} (x_1,y_1)and(x_2,y_2) \\ D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \end{gathered}$

so distance between A(-5,4) and B(3,4) is:

$\begin{gathered} D=\sqrt[]{(3-(-5))^2+(4-4)^2} \\ =\sqrt[]{(8)^2+0^2} \\ =8 \end{gathered}$

So AB is 8 unit apart.

For B(3,4) and C(3,-5).

$\begin{gathered} D=\sqrt[]{(3-3)^2+(-5-4)^2} \\ =\sqrt[]{0^2+(-9)^2} \\ =9 \end{gathered}$

So BC is 9 unit apart.

For fourth bush point is (-5,-5) it left of point C(3,-5) is:

$\begin{gathered} D=\sqrt[]{(3-(-5))^2+(-5-(-5))^2} \\ =\sqrt[]{(8)^2+0^2} \\ =8 \end{gathered}$

so fourth bush is 8 unit left of C.

For fourth bush(-5,-5) below to point A(-5,4)

$\begin{gathered} D=\sqrt[]{(-5-(-5))^2+(4-(-5))^2} \\ =\sqrt[]{0^2+9^2} \\ =9 \end{gathered}$

so fourth bush 9 units below of A.

8 0

9 months ago

Yo fab bbbibvuv gffcfsrth frxrctvybuni<br> hgde

goldenfox [79]

Answer:NIce

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A right regular pentagonal prism has a base edge length 14 cm, and height 12 cm. Identify the volume of the prism to the nearest

maks197457 [2]

Answer:

4046.56 cm3

Step-by-step explanation:

The base is made by 5 isosceles triangles, with one side of 14 cm, and the opposite angle of $\frac{360} 5 = 72°$ . Each of the other angle is $\frac{180-72} {2} =54°$ . From there, you can calculate the height of each base triangle as in $\frac {h} 7 = tan54$ or 9.634...cm.

Your volume will be $5 * \frac {(14 * 9.634)} 2 * 12 = 4046.56 cm^3$

7 0

3 years ago

For a random sample of children from a school district in South Carolina, a regression analysis is conducted of yequalsamount s

AveGali [126]

Answer:

Option B. Standard error of predicted amount.

Step-by-step explanation:

A standard error predicted amount will work best in this scenario. The data, when extracted from the standard mean, provides the most accurate presentation of the statistical data on question. By using the standard error, the variation from the central point can be determined.

3 0

2 years ago