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Effectus [21]
2 years ago
9

1.4.3 Quiz: Linear Equations And Inequalities

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
6 0

what is the question?

Please tellll.

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A square patio has an area of 200 square feet . How long is each side of the patio to the nearest tenth ?
MAXImum [283]

Givens

Area = 200 square feet

Formula

A = s^2

Soluton

s^2 = 200 square feet.

Take the square root of both sides.

square root s^2 = square root (200)

You  should use a calculator to find the square root of 200

√

200

=

is the way to put it into the calculator.

s = 14.1 feet on each side. <<<<< Answer

4 0
2 years ago
I'm having a hard time with this question so someone help please
bulgar [2K]

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0
2 years ago
6N=48<br><br> please solve for N
Fudgin [204]

Answer:

N=8

Step-by-step explanation:

6N=48

Divide by 6 both sides

6N/6=48/6

N=8

6 0
2 years ago
Help me with the answer
Elan Coil [88]
Hi this is mikayla Cheney from school
5 0
3 years ago
3.) AC is a segment and B is a point between A and C. If AB = 20 and BC = 15, find AC.
Shalnov [3]

Answer:

3. 35

Step-by-step explanation:

15+20=35

6 0
2 years ago
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