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Sonbull [250]
3 years ago
9

Find the sine and cosine of the angle whose terminal side passes through (-7,2)

Mathematics
1 answer:
kolezko [41]3 years ago
4 0

Answer:

The sine = 0.2724 and the cosine =  -0.9615  to  4 decimal places.

Step-by-step explanation:

The point (-7,2) is in the second quadrant .

The sine is positive and the cosine is negative,.

The hypotenuse of the triangle in the second quadrant =  √((-7)^2 + 2^2)

= √53   ( by Pythagoras), the opposite side = 2 and the adjacent side = -7.

So the sine  of the angle is 2 /√53 and the cosine is  -7/√53.

or 0.2724 and -0.9615  to  4 decimal places.

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Tiffany is 140 miles away from Maggie. They are traveling towards each other. If Maggie travels 5 mph faster than Tiffany and th
8090 [49]

Answer: Tiffany 15mph, Maggie 20mph

Step-by-step explanation:

Set up the equation 4((x+5) + x) = 140. x+5 represents how many miles Maggie covered in one hour. x represents how much Tiffany traveled in one hour. 140 is the number of miles in total. 4 is the number of hours in total.

Simplify the equation.

(x+5) + x = 35    Divide both sides by 4

2x+5 = 35         Combine like terms

2x = 30              Subtract 5 from both sides

x = 15                 Divide both sides by 2

Tiffany traveled 15mph, while Maggie traveled 15+5=20mph.

3 0
3 years ago
School chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers,
inn [45]

Answer:

90 + 75 = 165

165 divided by 3 = 55

4 0
3 years ago
What does x equal 3.25x-2.5= -9.75x+4
Andrews [41]
X would be 0.5. Hope this helped
5 0
3 years ago
Read 2 more answers
The vector v⃗ in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis.
allsm [11]

The vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis is: (3/√2, 3√2) and The vector w in 3-space of length 1 lying in the yz-plane pointing upward at an angle of 2π/3 measured from the positive y-axis is: (0, -1/2, √3/2).

<h3>Vector</h3>

a. Vector (v)

Vector (v)=v (cos Ф, sin Ф)

V=1 while the counterclockwise angle that is measured from positive x=Ф=π/4

Hence:

Vector=3(cos π/4, sinπ/4)

Vector=(3/√2, 3√2)

b. Vector w:

Vector w=1(0, cos 2π/3, sin2π/3)

Vector w=(0, -1/2, √3/2)

Therefore the vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis is: (3/√2, 3√2) and The vector ws: (0, -1/2, √3/2).

The complete question is:

Resolve the following vectors into components:

a. The vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis.

(b) The vector w in 3-space of length 1 lying in the yz-plane pointing upward at an angle of 2π/3 measured from the positive y-axis.

Learn more about vector here:brainly.com/question/25705666

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5 0
2 years ago
Which of the following statements are correct based on the diagram? Select all that apply.
cluponka [151]

Answer:

Segment U T is congruent to segment X V

Segment S T is congruent to segment W V

Angle V is congruent to angle T

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2 years ago
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