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OlgaM077 [116]
3 years ago
10

50 people were asked for their favourite holiday destination from a choice

Mathematics
1 answer:
sattari [20]3 years ago
6 0
Hm... brainliest material? U don’t have to idm lol.

Hope this helps!!

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In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .
spayn [35]

Answer:

74.0°

Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the  nearest 10th of a degree

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:

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

In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.

Using sine rule, we can find ∠K:

\frac{k}{sin(K)}=\frac{j}{sin(J)}   \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)}  \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o  \\

6 0
3 years ago
If north is the direction of the positive y-axis and east is the direction of the positive x-axis, give the unit vector pointing
tatuchka [14]
North is the direction of positive y-axis. East is the direction of positive x-axis. So West will be the direction of negative x-axis.

Northwest will mean, in between north and west i.e. in between y-axis and the negative x-axis which is the mid of the 2nd quadrant. Thus the vector pointing northwest will form an angle of 135 degrees with positive x-axis.

The magnitude of unit vector is 1 and is forming an angle of 135 degrees. In terms of its components, we can write:

x-component = 1 cos (135) = - \frac{ \sqrt{2} }{2}
y-component = 1 sin (135) = \frac{ \sqrt{2} }{2}

Thus the unit vector will be = - \frac{ \sqrt{2} }{2}x+ \frac{ \sqrt{2} }{2}y

In vector form, component form the vector can be written as:

(- \frac{ \sqrt{2} }{2}, \frac{ \sqrt{2} }{2})
7 0
3 years ago
Read 2 more answers
7,676 rounded to the hundred
Tresset [83]
7,676 rounded to the nearest hundredth is: 7,700.

You are focusing on the 7676. If the 7 on the right of it has a number below five, then it would be 7600. On this hand, with it being more than 5, the correct answer is 7,700.
6 0
4 years ago
Read 2 more answers
Please help with this question ☺️☺️☺️☺️☺️
lianna [129]
83 degrees. corresponding angles are congruent
7 0
4 years ago
Read 2 more answers
The triangles are similar by??
allsm [11]

the SAS similarity theorem

8 0
3 years ago
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