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zalisa [80]
3 years ago
5

Help!

Mathematics
2 answers:
aalyn [17]3 years ago
6 0
A.  The angle formed with the ground would be calculated using sin x = 20/24.
sin^-1(20/24) = 56 degrees.
b.  The angle formed with the house would be calculated using cos y = 20/24.
cos^-1 (20/24) = 34 degrees.
c. The distance the ladder was placed from the house can be calculated using Pythagorean Theorem or Cos 56 = b/24.
24cos56 = b.  b = 13
vichka [17]3 years ago
5 0

Answer:

A. 56.40°

B. 33.59°

C. 13.25 feet

Step-by-step explanation:

In the given triangle ABC, AB is the height of window at second floor,

AC is ladder and BC is the ground.

A. In this part we have to measure angle C.

Since Sin c = \frac{AB}{AC}

         Sin c = \frac{20}{24} = \frac{5}{6} = (0.833)

          c =  (56.40)°

B. In this part of the question we have to find angle A.

Since Cos A = \frac{20}{24}=\frac{5}{6} = (0.833)

             A = 33.59°

C. In this part we have to find distance BC.

Since  Tan c = \frac{AB}{BC}

          Tan (56.40) = \frac{20}{BC}

           BC = \frac{20}{(1.51)}= 13.25 feet.

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Look at the figure, . Find the values of ​x and y. x = 5, y = 7 x = 6, y = 8 x = 6, y = 9 x = 7, y = 10
Colt1911 [192]

Answer:

x = 6, y = 9

Step-by-step explanation:

One of the properties of a parallelogram is

The diagonals bisect each other, hence

2x = y + 3 → (1)

2y = 3x → (2)

Rearrange (1) in terms of y by subtracting 3 from both sides

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

2(2x - 3) = 3x ← distribute left side

4x - 6 = 3x ( add 6 to both sides )

4x = 3x + 6 ( subtract 3x from both sides )

x = 6

Substitute x = 6 into (3) for value of y

y = (2 × 6) - 3 = 12 - 3 = 9

Hence x = 6 and y = 9

5 0
3 years ago
Write the resultant of the two vectors as an ordered pair. –6 5 and 6 –5
RideAnS [48]

Answer:

Resultant vector of two vectors is (0, 0).

Step-by-step explanation:

in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.

We can represent these vectors in the form of

\vec{A}=-6\hat{x}+5\hat{y}

and \vec{A'}=6\hat{x}+(-5)\hat{y}

Now the resultant of these vectors will be = A + A'

A + A' = \vec{A}=-6\hat{x}+5\hat{y} + \vec{A'}=6\hat{x}+(-5)\hat{y}

So the resultant vector = (0 + 0)

Therefore the resultant will be (0, 0)

8 0
3 years ago
Read 2 more answers
Impact of humour in specific language structure​
olya-2409 [2.1K]

Answer:

Summary

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8 0
3 years ago
How do I solve this?
Korvikt [17]

The interior angles of any triangle always sum to 180°.

In the triangle, angles C and D are labeled congruent, so the missing angle has measure

180° - 2 (6x - 5)°

This angle is supplementary to the one labeled (11x + 1)°, which means

180° = (11x + 1)° + (180° - 2 (6x - 5)°)

Solve for x :

180° = (11x + 1)° + 180° - 2 (6x - 5)°

0 = (11x + 1)° - 2 (6x - 5)°

0 = (11x)° + 1° - (12x)° + 10°

(12x - 11x)° = 1° + 10°

x° = 11°

x = 11

5 0
2 years ago
(a) The area of a rectangular parking lot is 3657 m².
aev [14]

Answer l=69m

Step-by-step explanation:

l= A/w= 3657/53=69m

use the formula A=wl

4 0
2 years ago
Read 2 more answers
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