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3 years ago

For which angle theta is cos theta =-1?a) 270b) 360c) 450d) 540

Mathematics

2 answers:

yanalaym [24]3 years ago

7 0

Answer:

540°.

Step-by-step explanation:

On a unit circle, cos θ = -1 at 180°.

However, cos θ has a period of 2π, or 360°. This means that cos θ will equal to -1 again after 2π.

To solve for the angle:

180° + 360° = 540°. This is the next angle at which cos θ = -1.

Elena-2011 [213]3 years ago

6 0

Your answer would be D 540

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A taxi driver had 50 fares to and from the airport last Monday. The price for a ride to the airport is $10, and the price for a

Rina8888 [55]

Answer:

Number of Fares to airport is 25 and number of fares from airport is 25.

Step-by-step explanation:

Given:

Total Number of fares =50

Let number of fares to airport be x.

Let number of fares from airport be y.

hence the equation can be framed as;

$x+y=50 \ \ \ \ equation \ 1$

Also Given

Total Money Collected = $375

Cost to airport = $10

Cost from Airport = $5

Total Money Collect is equal to Cost to airport multiplied by number of Fares to airport plus Cost from airport multiplied by number of Fare from airport.

$10x+5y=375$

Dividing by 5 on both side we get;

$2x+y = 75 \ \ \ \ equation \ 2$

Now Subtracting equation 1 from 2 we get;

$(2x+y)-(x+y)=75-50\\2x+y-x-y=25\\x=25$

Substituting the value of x in equation 1 we get;

$x+y=50\\25+y=50\\y=50-25\\y=25$

Hence Number of Fares to airport is 25 and number of fares from airport is 25.

5 0

3 years ago

Which measurement could create more than one triangle? A.? A triangle with sides measuring 5 inches, 7 inches, 9 inches B. A tri

rewona [7]

Answer: B. A triangle with sides measuring 50 mm 35 mm and a non-included angle measuring 25° .

Step-by-step explanation:

A. A triangle with sides measuring 5 inches, 7 inches, 9 inches

Only one triangle can be possible because all the triangles with equal sides must be equal by SSS congruence rule.

B. A triangle with sides measuring 50 mm ,35 mm and a non-included angle measuring 25°.

More than one triangle can be possible because there is no congruence rule for two equal sides and one non-equal angle ( no SSA rule exist).

C. A triangle with sides measuring 5 cm, 10 cm, and 15 cm .

This triangle is not possible because it doesn't satisfy triangle's inequality as 5+10=15 [Triangles inequality : a+b> c, where a, b, c are sides of triangle]

D. A triangle with sides measuring 8 cm and 12 cm in an included angle measuring 85°.

Only one triangle can be possible because all the triangles have two equal sides and their included angle is equal by SAS congruence rule.

Hence, the required measurement to create more than one triangle:

A triangle with sides measuring 50 mm 35 mm and a non-included angle measuring 25° .

So, correct option is B.

7 0

3 years ago

What’s the correct answer for this question?

Ronch [10]

Hopes this helps:

Answer: D.

1. Simplify 12/18 to 2/3.
2/3 = 16/24

2. Simplify 16/24 to 2/3.
2/3 = 2/3

3. Some both sides equal, there are infinitely many solutions.

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Answer:

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3 years ago

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3 years ago

For which angle theta is cos theta =-1?a) 270b) 360c) 450d) 540​

For which angle theta is cos theta =-1?a) 270b) 360c) 450d) 540