Answer:
about 28
Step-by-step explanation:
you have to use the sine rule = side you know * ( sin of angle opposing the side you want to know / sin of angle opposing the side you know)
AB = 19* (sin 75/ sin ( 180 -75-64) )
AB = 19 * ( sin 75 / sin 41) ≈ 27.9739...
Answer:
yes
Step-by-step explanation:
118+107+63=287
360 is the total interior angle of a circle
so 360-287 = 73
The answer is B
the cost of each doll (2.5) times the number of dolls (x) equals the total amount she has to spend (45)
Option D:
Right triangle
Solution:
Let us first define obtuse, acute right triangle and supplementary.
<u>Obtuse angled triangle:</u>
If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.
<u>Acute angled triangle:</u>
If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.
<u>Right angled triangle:</u>
If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.
<u>Supplementary:</u>
If sum of the angles is 180°, then the angles are supplementary angles.
But this is not a kind of triangle.
In given triangle one of the angle is 90°.
Therefore, this is a kind of right triangle.
Option D is the correct answer.
Answer:
<u>$11,000</u>
Step-by-step explanation:
Let amount invested for 12% yield be <em>p . </em>Amount for 4% yield is therefore (<em>18000-p)</em>
Interest for 12%:<em> 12% of p=0.12p</em>
Interest for 4%: <em>4% of </em>(<em>18000-p)=0.04(18000-p)=720-0.04p</em>
Total interest:
<em>=0.12p</em> + (<em>720-0.04p)</em>
<em>=0.12p-0.04p+720</em>
<em>=0.08p+720</em>
But we already know the total interest is 1280
Therefore: <em>0.08p+720=1280</em>
<em>0.08p=1280-720</em>
<em>0.08p=560</em>
<em>p=560÷0.08</em>
<em>p=7000</em>
Therefore at 4% the person invested:
(<em>18000-p)</em>
<em>18000-7000</em>
<em>$11,000</em>
