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r-ruslan [8.4K]
3 years ago
10

Find the measure of

Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0
Angle A is 60 degrees
Explanation:
As the angle C is right angle( 90degrees)
using 49+ x^2= 196
x^2= 147
x= is approximately 12
against the smallest side is 30 degrees
against the biggest side is 90 degrees
against the middle side in length is 60 degrees
the middle length of side is approx. 12
so, A is 60 degrees
HOPE IT HELPS!!!!
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Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross
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Answer:

The area of the unpainted region on the four inch board = 160·√3 in.²

Step-by-step explanation:

Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram

The dimensions of the formed parallelogram are;

Interior angles = 60° and 120° (adjacent angles of a parallelogram)

Height, h of parallelogram formed = 4 inches

From the angle of crossing of the parallelogram, we have;

Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°

Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;

b = \frac{60}{cos(30)}  = 40\cdot \sqrt{3} \ inches

Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²

Hence, the area of the unpainted region on the four inch board = 160·√3 in.².

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