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valentina_108 [34]
1 year ago
8

1.

Mathematics
1 answer:
Lostsunrise [7]1 year ago
3 0

Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.

<h3>What is the law of sines?</h3>

Suppose we have a triangle in which:

  • The length of the side opposite to angle A is a.
  • The length of the side opposite to angle B is b.
  • The length of the side opposite to angle C is c.

The lengths and the sine of the angles are related as follows:

\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}

For the situation described, we have that:

  • The height is opposite to the angle of 42º.
  • The 425 meters are opposite to the angle of 87º.

Hence:

\frac{\sin{42^\circ}}{h} = \frac{\sin{87^\circ}}{425}

Applying cross multiplication:

h = 425\frac{\sin{42^\circ}}{\sin{87^\circ}}

h = 284.77 meters.

More can be learned about the law of sines at brainly.com/question/25535771

#SPJ1

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Answer:

40

Step-by-step explanation:

add 21 + 20

hope this helps :)

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Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles
777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A:  Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0
3 years ago
A item on sale costs 80% of the original price.if the original price was $15 what is the sale price?
Effectus [21]

Answer:

$3

Step-by-step explanation:

Original price - Discounted price

= $15 - ($15 × 80%)

= $15 - ($15 × 80/100)

= $15 - ($1200/100)

= $15 - $12

= <u>$</u><u>3</u>

So, the sale price is $3

<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>

8 0
3 years ago
If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x1) or 125 wiffle balls (x2) can be p
andrey2020 [161]

Answer:

b. 300x1 + 125x2 < = 4,000

Step-by-step explanation:

Maximum of 4,000 hours

This means that the the total amount of labor has to be of at most 4,000, that is:

T \leq 4000

300 ping-pong balls (x1) or 125 wiffle balls (x2) can be produced per hour of labor

The total amount of labor is:

T = 300x1 + 125x2

Uniting the two equations:

T \leq 4000

300x1 + 125x2 \leq 4000

And thus the correct answer is given by option b.

6 0
2 years ago
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